[
  {
    "step": 632,
    "title": "Freeze the calendar-half source family",
    "question": "What complete source packet is needed before testing File70’s three calendar bridges?",
    "inputs": {
      "restored_Creation_rail": [
        4251,
        4244,
        4237
      ],
      "standard_Creation_rail": [
        4121,
        4114,
        4107
      ],
      "exposure_nodes": [
        4238,
        4108
      ],
      "Joseph_birth_descent_elevation": [
        1915,
        1898,
        1885
      ],
      "Joseph_rail": [
        1885,
        1878,
        1871
      ],
      "regular_Cainan_difference": 130
    },
    "sources": [
      "File70 §§6.1–6.7; source state register"
    ],
    "opened_utc": "2026-09-28T00:56:25.987258+00:00",
    "predecessor_sha256": "C631:8da995fbc41dba4a3b78b59a6a6a316b712980b5052087bc963cd75e15db6351",
    "results": {
      "packet": {
        "path": "model/calendar_half_inputs.json",
        "sha256": "c3794e48f499ce37b49dfc94f7ead80771e50a487e4331f9c599e8e537886578",
        "bytes": 975
      },
      "primary_registers": {
        "Prophetic": [
          4238,
          1898,
          13,
          180
        ],
        "Priestly": [
          4237,
          1885,
          14,
          168
        ],
        "Enochian": [
          4251,
          1885,
          13,
          182
        ]
      }
    },
    "finding": "The complete packet fixes two Creation states, Joseph’s corresponding nodes, and the three13/14/13 half-year counts before calculation. The test can now explain the family from one labelled geometry.",
    "reassessment": "Generate the corresponding-node translation of the two seven-plus-seven rails.",
    "checks": {
      "source_section_present": true,
      "named_source_nodes": true
    },
    "closed_utc": "2026-09-28T00:56:25.988288+00:00",
    "sha256": "eeece7023cc8386382b385b9ec212f6eef1a499feaea2261e04d13592d5f4f4e"
  },
  {
    "step": 633,
    "title": "Generate the corresponding Creation–Joseph rail map",
    "question": "Do the two source seven-plus-seven rails require more than one translation?",
    "inputs": {
      "Creation": [
        4251,
        4244,
        4237
      ],
      "Joseph": [
        1885,
        1878,
        1871
      ]
    },
    "sources": [
      "File70 §6.3"
    ],
    "opened_utc": "2026-09-28T00:56:54.571747+00:00",
    "predecessor_sha256": "eeece7023cc8386382b385b9ec212f6eef1a499feaea2261e04d13592d5f4f4e",
    "results": {
      "corresponding_spans": [
        2366,
        2366,
        2366
      ],
      "rail_gaps": [
        [
          7,
          7
        ],
        [
          7,
          7
        ]
      ],
      "translation": 2366
    },
    "finding": "One translation of2366 carries all three source nodes and preserves the7+7 partition. The three matches are dependent coordinates of one rigid relation.",
    "reassessment": "Generate every cross-rail span to distinguish the special diagonals from the whole family.",
    "checks": {
      "translation": true,
      "shape": true
    },
    "closed_utc": "2026-09-28T00:56:54.571916+00:00",
    "sha256": "0546e755ab9dd83737899b935cd48b0288025b0ea9210c04ce267c96aa61c6e8"
  },
  {
    "step": 634,
    "title": "Generate the full cross-rail matrix",
    "question": "Does one indexed formula account for all nine span comparisons?",
    "inputs": {
      "head_difference": 2366,
      "rail_step": 7,
      "indices": [
        0,
        1,
        2
      ]
    },
    "sources": [
      "File70 §§6.3,6.5; derived completion of source geometry"
    ],
    "opened_utc": "2026-09-28T00:57:07.226648+00:00",
    "predecessor_sha256": "0546e755ab9dd83737899b935cd48b0288025b0ea9210c04ce267c96aa61c6e8",
    "results": {
      "span_matrix": [
        [
          2366,
          2373,
          2380
        ],
        [
          2359,
          2366,
          2373
        ],
        [
          2352,
          2359,
          2366
        ]
      ],
      "multiplicities": {
        "2352": 1,
        "2359": 2,
        "2366": 3,
        "2373": 2,
        "2380": 1
      },
      "formula": "D(i,j)=2366+7(j−i)",
      "source_selected_extremes": [
        2352,
        2366,
        2380
      ]
    },
    "finding": "The complete matrix has five span values with multiplicities1,2,3,2,1. Minimum, corresponding and maximum spans are2366−14,2366,2366+14; the other entries are generated comparisons, not additional source appointments.",
    "reassessment": "Explain the separate exposure span using its two thirteen-year flanks.",
    "checks": {
      "extremes": true,
      "frequency": true,
      "matrix_from_dates": true
    },
    "closed_utc": "2026-09-28T00:57:07.226929+00:00",
    "sha256": "3bef9066b0c13130bfd753799a43e2aaee36086aa9fcaf0f767da80df7c64879"
  },
  {
    "step": 635,
    "title": "Reconstruct the exposure bridge from its flanks",
    "question": "How does the13+2340+13 path relate to the corresponding2366 translation?",
    "inputs": {
      "path": [
        4251,
        4238,
        1898,
        1885
      ]
    },
    "sources": [
      "File70 §§6.1,6.4"
    ],
    "opened_utc": "2026-09-28T00:57:18.616719+00:00",
    "predecessor_sha256": "3bef9066b0c13130bfd753799a43e2aaee36086aa9fcaf0f767da80df7c64879",
    "results": {
      "partition": [
        13,
        2340,
        13
      ],
      "total": 2366,
      "calendar_difference": 26,
      "Joseph_ages": [
        17,
        30
      ]
    },
    "finding": "The source path supplies13-year flanks around2340, giving2366. The26 added years are exactly6.5 copies of the360-to364 calendar difference. Joseph’s ages17 and30 provide the same13-year lower flank.",
    "reassessment": "Compare all three calendar spans under their own calibrated Keys.",
    "checks": {
      "partition": true,
      "calendar_gain": true,
      "ages": true
    },
    "closed_utc": "2026-09-28T00:57:18.617072+00:00",
    "sha256": "d4fba769a5c3e22462d9fe6614b02309624c1ab71009705221d66170acf86e66"
  },
  {
    "step": 636,
    "title": "Normalize the three calendar registers",
    "question": "Do the three spans become one common output under their respective Keys?",
    "inputs": {
      "spans": [
        2340,
        2352,
        2366
      ],
      "days": [
        360,
        336,
        364
      ],
      "Keys": [
        "70/69",
        "25/23",
        "300/299"
      ]
    },
    "sources": [
      "File70 §6.7; C586 calendar calibration"
    ],
    "opened_utc": "2026-09-28T00:57:35.899669+00:00",
    "predecessor_sha256": "d4fba769a5c3e22462d9fe6614b02309624c1ab71009705221d66170acf86e66",
    "results": {
      "normalized_year_counts": [
        "13/2",
        7,
        "13/2"
      ],
      "Key_outputs": [
        "54600/23",
        "58800/23",
        "54600/23"
      ],
      "output_ratio": "13:14:13",
      "half_year_unit": "4200/23"
    },
    "finding": "The Prophetic and Enochian arms normalize to6.5 calendar years; the Priestly arm to7. Their outputs are13,14,13 copies of one calibrated half-year. The family preserves two count classes, not one undifferentiated result.",
    "reassessment": "Determine what equal transformed spans imply when their held heads differ.",
    "checks": {
      "normalization": true,
      "outputs": true,
      "two_classes": true
    },
    "closed_utc": "2026-09-28T00:57:35.899892+00:00",
    "sha256": "17fb6bac910067917df66b14db474b381af070138efcdb0c206f8674725e9eef"
  },
  {
    "step": 637,
    "title": "Carry normalized equality into anchored placement",
    "question": "Do equal Prophetic and Enochian outputs imply an identical dated endpoint here?",
    "inputs": {
      "Prophetic_head": 4238,
      "Enochian_head": 4251,
      "common_output": "54600/23"
    },
    "sources": [
      "File70 source endpoints; derived anchored-Key diagnostic"
    ],
    "opened_utc": "2026-09-28T00:57:45.785330+00:00",
    "predecessor_sha256": "17fb6bac910067917df66b14db474b381af070138efcdb0c206f8674725e9eef",
    "results": {
      "Prophetic_generated_endpoint": "42874/23",
      "Enochian_generated_endpoint": "43173/23",
      "endpoint_difference": 13,
      "frame_adjusted_Enochian_endpoint": "42874/23"
    },
    "finding": "The generated endpoints differ13 because the held heads differ13. Translating the Enochian output frame by−13 aligns them. Equal normalized spans explain the shape; source anchor differences explain its placement. These fractional outputs are diagnostics, not adopted event dates.",
    "reassessment": "Derive why the Priestly minimum has fourteen half-year units.",
    "checks": {
      "difference": true,
      "frame_relation": true
    },
    "closed_utc": "2026-09-28T00:57:45.785544+00:00",
    "sha256": "6913761b17e777dff8eec192689d88922a0dcae2329697f6ae654fe48fddd2c4"
  },
  {
    "step": 638,
    "title": "Explain the Priestly minimum by factor structure",
    "question": "Why does subtracting the14-year rail width from13×182 produce14×168?",
    "inputs": {
      "corresponding_count": 13,
      "Enochian_half": 182,
      "rail_width": 14
    },
    "sources": [
      "File70 §§6.2–6.5"
    ],
    "opened_utc": "2026-09-28T00:57:56.936051+00:00",
    "predecessor_sha256": "6913761b17e777dff8eec192689d88922a0dcae2329697f6ae654fe48fddd2c4",
    "results": {
      "corresponding_factorization": [
        14,
        169
      ],
      "minimum_factorization": [
        14,
        168
      ],
      "Priestly_half": 168,
      "identity": "13×182−14=14(169−1)=14×168"
    },
    "finding": "The Priestly minimum follows from182=14×13 and168=13²−1. The common14-year width turns the corresponding vector into fourteen Priestly halves. This explains the change from13 to14 calendar units through the rail geometry.",
    "reassessment": "Test whether the combined half-calendar conditions select a unique count or a congruence family.",
    "checks": {
      "factorization": true,
      "minimum": true,
      "difference_of_squares": true
    },
    "closed_utc": "2026-09-28T00:57:56.936249+00:00",
    "sha256": "48e03ab500abe657bfcd30dd81ee12ec3744e5ab24b2d6c021bf1052845dc452"
  },
  {
    "step": 639,
    "title": "Solve the two-calendar compatibility equation",
    "question": "What count family permits an Enochian corresponding span and a Priestly minimum fourteen years shorter?",
    "inputs": {
      "equation": "182m−14=168n",
      "positive_integer_counts": true
    },
    "sources": [
      "Derived from File70 §6 source geometry"
    ],
    "opened_utc": "2026-09-28T00:58:22.881303+00:00",
    "predecessor_sha256": "48e03ab500abe657bfcd30dd81ee12ec3744e5ab24b2d6c021bf1052845dc452",
    "results": {
      "reduced_equation": "13m−12n=1",
      "general_solution": "m=1+12q; n=1+13q",
      "examples_m_n": [
        [
          1,
          1
        ],
        [
          13,
          14
        ],
        [
          25,
          27
        ],
        [
          37,
          40
        ]
      ],
      "source_choice_q": 1
    },
    "finding": "The pair of calendar requirements has an infinite integer family. Its source member is m=13,n=14; the smaller m=n=1 also fits the two-calendar equation. The exposure condition must supply any stronger selection.",
    "reassessment": "Add the fixed thirteen-year exposure flanks and solve the complete three-calendar system.",
    "checks": {
      "examples": true,
      "source_member": true,
      "not_unique_pair": true
    },
    "closed_utc": "2026-09-28T00:58:22.881481+00:00",
    "sha256": "2d75bc9bfb77ad832fbb24b55007d44225e7432b192eeef77c2166cdfd940f33"
  },
  {
    "step": 640,
    "title": "Solve the complete three-calendar congruence family",
    "question": "Do the fixed fourteen-year rail and thirteen-year flanks select the source count triple as the smallest positive solution?",
    "inputs": {
      "conditions": [
        "T=182m",
        "T−14=168n",
        "T−26=180p"
      ],
      "counts": "positive integers"
    },
    "sources": [
      "File70 §6 geometry; derived integer compatibility theorem"
    ],
    "opened_utc": "2026-09-28T00:58:46.567888+00:00",
    "predecessor_sha256": "2d75bc9bfb77ad832fbb24b55007d44225e7432b192eeef77c2166cdfd940f33",
    "results": {
      "m_residue_mod180": [
        13
      ],
      "general_T": "2366+32760q",
      "general_counts": "m=13+180q; n=14+195q; p=13+182q",
      "examples": [
        {
          "q": 0,
          "T": 2366,
          "m": 13,
          "n": 14,
          "p": 13
        },
        {
          "q": 1,
          "T": 35126,
          "m": 193,
          "n": 209,
          "p": 195
        },
        {
          "q": 2,
          "T": 67886,
          "m": 373,
          "n": 404,
          "p": 377
        }
      ],
      "least_positive_solution": [
        2366,
        13,
        14,
        13
      ]
    },
    "finding": "With the source offsets fixed, the full system has T=2366+32760q. Its least positive solution is exactly the source2366 and13/14/13 half-count triple. This is a conditional local minimality result, not a claim of a globally minimal chronology.",
    "reassessment": "Relate the congruence period to the calendar lattice, then test the source no-Cainan companion.",
    "checks": {
      "fundamental_residue": true,
      "all_three_equations": true,
      "least_positive": true
    },
    "closed_utc": "2026-09-28T00:58:46.568078+00:00",
    "sha256": "623fd5df259934d6c3ff7cec267048b2c6c0b361546a0a0f59ddddd9c1f4a956"
  },
  {
    "step": 641,
    "title": "Identify the calendar compatibility period",
    "question": "Why is the full congruence period32760, and how does it meet the earlier common-volume family?",
    "inputs": {
      "half_calendars": [
        168,
        180,
        182
      ],
      "full_calendars": [
        336,
        360,
        364
      ]
    },
    "sources": [
      "C640; File12 calendar definitions; C575"
    ],
    "opened_utc": "2026-09-28T00:58:58.617439+00:00",
    "predecessor_sha256": "623fd5df259934d6c3ff7cec267048b2c6c0b361546a0a0f59ddddd9c1f4a956",
    "results": {
      "half_calendar_lcm": 32760,
      "full_calendar_lcm": 65520,
      "previous_volume_coefficient": 327600,
      "ratios": [
        2,
        10
      ]
    },
    "finding": "The period32760 is the least common multiple of the three half-calendars. Doubling gives65520 for full calendars; the earlier327600 common-volume coefficient is ten half-periods. The numerical link comes from the same calendar denominators, with units retained.",
    "reassessment": "Execute the no-Cainan rail companion and locate which calendar divisibilities it preserves.",
    "checks": {
      "period": true,
      "previous_volume": true,
      "counts_increment": true
    },
    "closed_utc": "2026-09-28T00:58:58.617609+00:00",
    "sha256": "aca507fc8cb4d8a7ff368876b5cf8e91a3c68205120bedafce3f964c098b542e"
  },
  {
    "step": 642,
    "title": "Reconstruct the no-Cainan companion",
    "question": "Which relations survive when the Creation rail alone moves130?",
    "inputs": {
      "standard_Creation": [
        4121,
        4114,
        4107
      ],
      "Joseph": [
        1885,
        1878,
        1871
      ],
      "standard_exposure": 4108
    },
    "sources": [
      "File70 §§6.1,6.6"
    ],
    "opened_utc": "2026-09-28T00:59:33.175668+00:00",
    "predecessor_sha256": "aca507fc8cb4d8a7ff368876b5cf8e91a3c68205120bedafce3f964c098b542e",
    "results": {
      "span_family": [
        2210,
        2222,
        2236,
        2250
      ],
      "corresponding_spans": [
        2236,
        2236,
        2236
      ],
      "calendar_half_counts": [
        "221/18",
        "1111/84",
        "86/7"
      ],
      "shift_from_restored": 130
    },
    "finding": "Removing130 preserves both7+7 rails and all their relative diagonals, giving2236 as the corresponding translation. It changes the calendar counts to nonintegers, so the restored state’s13/14/13 specialization is not automatic from rail shape alone.",
    "reassessment": "Ask whether the fixed standard state and three-calendar conditions select130 as the least nonnegative correction.",
    "checks": {
      "companion": true,
      "shape": true,
      "counts_changed": true
    },
    "closed_utc": "2026-09-28T00:59:33.175833+00:00",
    "sha256": "bfffe3745aa25cf6e552ea3071d48994bddd5bd76620a6756efff51414405fdc"
  },
  {
    "step": 643,
    "title": "Solve the source-state correction congruence",
    "question": "Given the standard2236 vector, what correction first enters the complete calendar-compatible class?",
    "inputs": {
      "standard_vector": 2236,
      "compatible_class": "2366+32760q",
      "permitted_test": "nonnegative integer correction to Creation rail only"
    },
    "sources": [
      "C640,C642; File70 regular Cainan comparison"
    ],
    "opened_utc": "2026-09-28T00:59:50.845969+00:00",
    "predecessor_sha256": "bfffe3745aa25cf6e552ea3071d48994bddd5bd76620a6756efff51414405fdc",
    "results": {
      "correction_class": "130+32760q",
      "least_nonnegative": 130,
      "examples": [
        130,
        32890,
        65650
      ],
      "source_regular_Cainan": 130
    },
    "finding": "With the standard vector and the14/26 offsets fixed, the least nonnegative correction satisfying all three calendar conditions is130. This recovers the supplied regular-Cainan increment conditionally; it does not infer an insertion history or change the frozen MT state.",
    "reassessment": "Use the supplied Enoch close to reconstruct the Priestly minimum’s internal partition.",
    "checks": {
      "least": true,
      "compatible": true
    },
    "closed_utc": "2026-09-28T00:59:50.846140+00:00",
    "sha256": "2d76bad693f618f2534e23e922c8d6ae92c4cca38f6b11bd4c7b6dc807d3a113"
  },
  {
    "step": 644,
    "title": "Recover the Enoch partition of the Priestly minimum",
    "question": "What additional placement does the appendix’s supplied Enoch close contribute?",
    "inputs": {
      "path": [
        4237,
        3257,
        1885
      ],
      "Enoch_status": "pre-existing secondary source comparison; no Gear transport"
    },
    "sources": [
      "File70 Appendix D.2–D.4"
    ],
    "opened_utc": "2026-09-28T01:00:01.628554+00:00",
    "predecessor_sha256": "2d76bad693f618f2534e23e922c8d6ae92c4cca38f6b11bd4c7b6dc807d3a113",
    "results": {
      "partition": [
        980,
        1372
      ],
      "jubilee49_coefficients": [
        20,
        28
      ],
      "primitive196_coefficients": [
        5,
        7
      ],
      "whole": 2352
    },
    "finding": "The supplied Enoch close partitions2352 as980+1372, or20+28 jubilee49 units. The reduced ratio is5:7. The total follows from the rail geometry; this particular internal cut depends on the separately supplied3257 role.",
    "reassessment": "Test the corresponding Enoch head to identify which part of the partition is role-specific.",
    "checks": {
      "partition": true,
      "total": true,
      "ratio": true
    },
    "closed_utc": "2026-09-28T01:00:01.628730+00:00",
    "sha256": "c26f666a0f60b1a78231c0ab16fe7c353022d0aa312dbcfb172e373a516d55a2"
  },
  {
    "step": 645,
    "title": "Test the Enoch partition role",
    "question": "Does the supplied Enoch head give the same internal partition as its close?",
    "inputs": {
      "head": 3264,
      "close": 3257,
      "outer": [
        4237,
        1885
      ]
    },
    "sources": [
      "File70 Appendix D.1–D.4",
      "C644"
    ],
    "opened_utc": "2026-09-28T01:03:53.595962+00:00",
    "predecessor_sha256": "c26f666a0f60b1a78231c0ab16fe7c353022d0aa312dbcfb172e373a516d55a2",
    "results": {
      "head_partition": [
        973,
        1379
      ],
      "close_partition": [
        980,
        1372
      ],
      "head_49_coefficients": [
        "139/7",
        "197/7"
      ]
    },
    "finding": "Replacing the supplied close with the head transfers seven years between the two arms and preserves2352. The5:7 partition belongs to the close role; it is not a property of any Enoch placement.",
    "reassessment": "Recover the complete two-node Enoch comparison from its seven-year rails.",
    "checks": {
      "head": true,
      "transfer": true,
      "total": true
    },
    "closed_utc": "2026-09-28T01:03:53.596210+00:00",
    "sha256": "5051984995800a79412c616ea15b3a8e1034afce5a7ba02b08e6e0c5e5898ca9"
  },
  {
    "step": 646,
    "title": "Generate the Creation–Enoch rail square",
    "question": "Can one translation recover all four admitted Creation–Enoch spans?",
    "inputs": {
      "upper": [
        4244,
        4237
      ],
      "lower": [
        3264,
        3257
      ]
    },
    "sources": [
      "File70 Appendix D.1"
    ],
    "opened_utc": "2026-09-28T01:04:02.788349+00:00",
    "predecessor_sha256": "5051984995800a79412c616ea15b3a8e1034afce5a7ba02b08e6e0c5e5898ca9",
    "results": {
      "matrix": [
        [
          980,
          987
        ],
        [
          973,
          980
        ]
      ],
      "translation": 980,
      "rail": 7
    },
    "finding": "The four comparisons are one seven-year rail translated by980: corresponding980s and crossed973/987. This reuses the same rail generator as the larger calendar family.",
    "reassessment": "Ask whether the source’s nested14/140/980 spans share one normalized shape.",
    "checks": {
      "whole_matrix": true,
      "entries": true
    },
    "closed_utc": "2026-09-28T01:04:02.788514+00:00",
    "sha256": "e43acebadfd5a87cfe91676d5933ebd599a2af327f809f6ec2b87cd1f3b4a4bc"
  },
  {
    "step": 647,
    "title": "Normalize the nested bilateral spans",
    "question": "What structure is shared by the source’s14,140 and980 layers?",
    "inputs": {
      "widths": [
        14,
        140,
        980
      ],
      "halves": [
        7,
        70,
        490
      ]
    },
    "sources": [
      "File70 Appendix D.5"
    ],
    "opened_utc": "2026-09-28T01:04:13.636096+00:00",
    "predecessor_sha256": "e43acebadfd5a87cfe91676d5933ebd599a2af327f809f6ec2b87cd1f3b4a4bc",
    "results": {
      "normalized_halves": [
        [
          1,
          1
        ],
        [
          1,
          1
        ],
        [
          1,
          1
        ]
      ],
      "scale_from14": [
        1,
        10,
        70
      ]
    },
    "finding": "The three layers share the bilateral1|1 shape at scales1,10,70. This establishes nested geometric scale, without creating an appointment at an unsupplied midpoint.",
    "reassessment": "Test the more informative five-node Creation–Terah refinement rather than stopping at bilateral similarity.",
    "checks": {
      "halves": true,
      "scales": true
    },
    "closed_utc": "2026-09-28T01:04:13.636323+00:00",
    "sha256": "eebd35943fcf34a0390ba6b207d01d4c46454ddf6e2ca10563c2efe7cab6071d"
  },
  {
    "step": 648,
    "title": "Recover the five-node Creation refinement",
    "question": "Can one small template reproduce both standard and restored Creation refinements?",
    "inputs": {
      "standard": [
        4121,
        4115,
        4114,
        4108,
        4107
      ],
      "restored": [
        4251,
        4245,
        4244,
        4238,
        4237
      ],
      "template": [
        7,
        1,
        0,
        -6,
        -7
      ]
    },
    "sources": [
      "File70 §§2.3,3.2; A.3"
    ],
    "opened_utc": "2026-09-28T01:04:26.557313+00:00",
    "predecessor_sha256": "eebd35943fcf34a0390ba6b207d01d4c46454ddf6e2ca10563c2efe7cab6071d",
    "results": {
      "generated": [
        [
          4121,
          4115,
          4114,
          4108,
          4107
        ],
        [
          4251,
          4245,
          4244,
          4238,
          4237
        ]
      ],
      "gaps": [
        6,
        1,
        6,
        1
      ],
      "component_translation": [
        130,
        130,
        130,
        130,
        130
      ]
    },
    "finding": "Both Creation states are the same five-position template centered at4114 or4244; regular Cainan changes every coordinate by130 and leaves the6|1|6|1 refinement intact.",
    "reassessment": "Test the complete Terah refinement against this template.",
    "checks": {
      "standard": true,
      "restored": true,
      "translation": true
    },
    "closed_utc": "2026-09-28T01:04:26.557526+00:00",
    "sha256": "55f515ca546e718d153b292e3e2f70d5c297ee2da5b2e4998114b15c6dd4cec4"
  },
  {
    "step": 649,
    "title": "Map Creation’s entire refinement to Terah",
    "question": "Does the tenfold scale preserve all four subdivisions and five roles?",
    "inputs": {
      "creation": [
        4121,
        4115,
        4114,
        4108,
        4107
      ],
      "terah": [
        2296,
        2236,
        2226,
        2166,
        2156
      ],
      "centers": [
        4114,
        2226
      ]
    },
    "sources": [
      "File70 §§2.3,3.2,4.2; A.2–A.3"
    ],
    "opened_utc": "2026-09-28T01:04:38.874545+00:00",
    "predecessor_sha256": "55f515ca546e718d153b292e3e2f70d5c297ee2da5b2e4998114b15c6dd4cec4",
    "results": {
      "mapped": [
        2296,
        2236,
        2226,
        2166,
        2156
      ],
      "terah_gaps": [
        60,
        10,
        60,
        10
      ],
      "normalized_roles": [
        7,
        1,
        0,
        -6,
        -7
      ]
    },
    "finding": "One affine map carries the complete Creation6|1|6|1 refinement into Terah60|10|60|10. The correspondence is between structural positions; the source’s biographical and comparison roles remain distinct.",
    "reassessment": "Determine which broader three-node families are projections of this refined template.",
    "checks": {
      "all_five": true,
      "refinement": true
    },
    "closed_utc": "2026-09-28T01:04:38.874736+00:00",
    "sha256": "982f58d3ce265d83088399737601350b1e213352f64319e8dd8df35e5c84138d"
  },
  {
    "step": 650,
    "title": "Locate the common coarse rail",
    "question": "Which supplied triples share the same bilateral projection?",
    "inputs": {
      "triples": [
        [
          4121,
          4114,
          4107
        ],
        [
          4251,
          4244,
          4237
        ],
        [
          2296,
          2226,
          2156
        ],
        [
          1929,
          1922,
          1915
        ],
        [
          1885,
          1878,
          1871
        ]
      ],
      "centers": [
        4114,
        4244,
        2226,
        1922,
        1878
      ],
      "steps": [
        7,
        7,
        70,
        7,
        7
      ]
    },
    "sources": [
      "File70 §§3–6; A.3,A.5,A.6"
    ],
    "opened_utc": "2026-09-28T01:04:52.873999+00:00",
    "predecessor_sha256": "982f58d3ce265d83088399737601350b1e213352f64319e8dd8df35e5c84138d",
    "results": {
      "normalized": [
        [
          1,
          0,
          -1
        ],
        [
          1,
          0,
          -1
        ],
        [
          1,
          0,
          -1
        ],
        [
          1,
          0,
          -1
        ],
        [
          1,
          0,
          -1
        ]
      ],
      "refinement_projection": [
        0,
        2,
        4
      ]
    },
    "finding": "All five supplied triples normalize to1|0|-1. Creation and Terah additionally share the five-node refinement; Jacob and Joseph establish the coarse rail only. A shared outer shape does not supply missing inner events.",
    "reassessment": "Consolidate the first20 steps into an explanation of geometry versus selected calendar placement.",
    "checks": {
      "all_triples": true,
      "projection": true
    },
    "closed_utc": "2026-09-28T01:04:52.874257+00:00",
    "sha256": "e4c24280b4d4426f3ceec817198a956ebe03ed332b45f3e95d2b601944e35429"
  },
  {
    "step": 651,
    "title": "Consolidate the rail and refinement families",
    "question": "What is the shortest supported explanation after the first20 steps?",
    "inputs": {
      "families": [
        "calendar rails",
        "five-position Creation–Terah refinement",
        "coarse Jacob/Joseph rails"
      ],
      "scope": "source-conditioned geometry"
    },
    "sources": [
      "C632–C650",
      "Research Strategy"
    ],
    "opened_utc": "2026-09-28T01:05:24.402267+00:00",
    "predecessor_sha256": "e4c24280b4d4426f3ceec817198a956ebe03ed332b45f3e95d2b601944e35429",
    "results": {
      "artifact": {
        "path": "deliverables/C651_Interim_Synthesis.md",
        "sha256": "ff98f9808fb24b7648ba2eeb7f8e0a1a23508c84f34e2dae154bb7f095f750ab",
        "bytes": 1119
      },
      "completed_range": [
        632,
        651
      ],
      "core_rules": [
        "Dij=T+7(j−i)",
        "R(c,u)=c+u(7,1,0,−6,−7)",
        "T=2366+32760q"
      ]
    },
    "finding": "Twenty sequential steps now explain two whole-family generators and distinguish their inherited shapes from the source-selected placements. Further scalar boundary searches are lower priority than the prepared reflection and cumulative families.",
    "reassessment": "Reconstruct the source’s Jacob-centered reflection as a complete event-role object.",
    "checks": {
      "range": true,
      "calendar": true,
      "refinement": true
    },
    "closed_utc": "2026-09-28T01:05:24.402497+00:00",
    "sha256": "45e5a551cfa6f6c155c1c4932f71c7c08997ccbf79e0d2110994f1269d2d9e77"
  },
  {
    "step": 652,
    "title": "Generate Jacob’s death-centered reflection",
    "question": "Does one reflection recover every supplied paired node?",
    "inputs": {
      "center": 1859,
      "path": [
        1936,
        1929,
        1859,
        1789,
        1782
      ],
      "secondary_role": "1789 traditional Judah death"
    },
    "sources": [
      "File70 §5.3; A.5 JB001–016"
    ],
    "opened_utc": "2026-09-28T01:05:56.462713+00:00",
    "predecessor_sha256": "45e5a551cfa6f6c155c1c4932f71c7c08997ccbf79e0d2110994f1269d2d9e77",
    "results": {
      "reflected": [
        1782,
        1789,
        1859,
        1929,
        1936
      ],
      "gaps": [
        7,
        70,
        70,
        7
      ],
      "centered": [
        77,
        70,
        0,
        -70,
        -77
      ]
    },
    "finding": "Reflection about Jacob1859 reverses the full source path, with offsets77,70,0,−70,−77. The70|70 body and seven-year wings are one symmetric object; the traditional Judah role remains secondary.",
    "reassessment": "Compare this death-centered object with Jacob’s biographical70|7|70 path.",
    "checks": {
      "reflection": true,
      "gaps": true
    },
    "closed_utc": "2026-09-28T01:05:56.463188+00:00",
    "sha256": "f1a71412af35345e94de061a755c6f5c33b1db5869be9e93a2775ca2382f45d3"
  },
  {
    "step": 653,
    "title": "Separate Jacob’s two symmetric objects",
    "question": "How do the biographical and death-centered patterns connect?",
    "inputs": {
      "biography": [
        2006,
        1936,
        1929,
        1859
      ],
      "death_centered": [
        1936,
        1929,
        1859,
        1789,
        1782
      ]
    },
    "sources": [
      "File70 §5.3; A.5"
    ],
    "opened_utc": "2026-09-28T01:06:09.168697+00:00",
    "predecessor_sha256": "f1a71412af35345e94de061a755c6f5c33b1db5869be9e93a2775ca2382f45d3",
    "results": {
      "biography_gaps": [
        70,
        7,
        70
      ],
      "biography_center": "3865/2",
      "reflection": [
        1859,
        1929,
        1936,
        2006
      ],
      "centers_separation": "147/2"
    },
    "finding": "Jacob’s lifespan path is a different symmetric object:70|7|70 around1932.5, while the later reflection is centered at his death1859. They share sourced nodes1936/1929/1859 but cannot be collapsed into one center.",
    "reassessment": "Test the30/40 subdivision family to see what its junction equality depends on.",
    "checks": {
      "gaps": true,
      "symmetry": true,
      "total": true
    },
    "closed_utc": "2026-09-28T01:06:09.168994+00:00",
    "sha256": "adbcfc15390dec89a47f87874a4910b7fc6d90e3dd55e9aec748e1315f527dc8"
  },
  {
    "step": 654,
    "title": "Reconstruct the secondary30/40 junction",
    "question": "Which equation generates the source’s30|30|40|40 arrangement?",
    "inputs": {
      "H": 1929,
      "D": 1859,
      "a": 30,
      "b": 40,
      "source_path": [
        1959,
        1929,
        1899,
        1859,
        1819
      ]
    },
    "sources": [
      "File70 §5.4; secondary schematic comparison"
    ],
    "opened_utc": "2026-09-28T01:06:20.396425+00:00",
    "predecessor_sha256": "adbcfc15390dec89a47f87874a4910b7fc6d90e3dd55e9aec748e1315f527dc8",
    "results": {
      "path": [
        1959,
        1929,
        1899,
        1859,
        1819
      ],
      "junction_from_below": 1899,
      "gaps": [
        30,
        30,
        40,
        40
      ],
      "whole": 140
    },
    "finding": "The shared1899 junction follows exactly from H−D=a+b=70. The whole path then has width2(a+b)=140. Its schematic30-day premise supplies the junction; choosing29 would give1900 instead.",
    "reassessment": "Reconstruct Joseph’s complete supplied age rail and determine what is retained from Creation.",
    "checks": {
      "source_path": true,
      "junction": true,
      "dependency": true
    },
    "closed_utc": "2026-09-28T01:06:20.396626+00:00",
    "sha256": "14c2e962db65235ffc3310e40dbdab2dd2684788aed34f81121ae669703b86b4"
  },
  {
    "step": 655,
    "title": "Generate Joseph’s age-position family",
    "question": "Does one birth anchor and the supplied ages recover the economic rail?",
    "inputs": {
      "birth": 1915,
      "ages": [
        17,
        30,
        37,
        44
      ],
      "source_dates": [
        1898,
        1885,
        1878,
        1871
      ]
    },
    "sources": [
      "File70 §§5.5–5.6; A.6 P001–011"
    ],
    "opened_utc": "2026-09-28T01:06:31.798023+00:00",
    "predecessor_sha256": "14c2e962db65235ffc3310e40dbdab2dd2684788aed34f81121ae669703b86b4",
    "results": {
      "dates": [
        1898,
        1885,
        1878,
        1871
      ],
      "gaps": [
        13,
        7,
        7
      ],
      "creation_components": [
        13,
        1
      ],
      "Joseph_components": [
        13,
        14
      ]
    },
    "finding": "Joseph’s17/30/37/44 ages generate1898/1885/1878/1871 and13|7|7. The13-year opening is retained in the Creation comparison while the following1 becomes14; the complete paths are not uniform scalar copies.",
    "reassessment": "Use the authorized local Noah variant rows to test the same separation of shape and placement.",
    "checks": {
      "dates": true,
      "gaps": true,
      "not_uniform": true
    },
    "closed_utc": "2026-09-28T01:06:31.798295+00:00",
    "sha256": "f41734dd9a81bfaae1a8cd1624ac912b6aaf30ce4f62e79917dfaa9629c65b02"
  },
  {
    "step": 656,
    "title": "Reconstruct the local Noah/Shem variant field",
    "question": "Which spacings survive the admitted local gear and lifespan comparisons?",
    "inputs": {
      "Noah_G1": [
        2296,
        2236,
        2166,
        2106
      ],
      "Noah_G2": [
        2298,
        2238,
        2168,
        2108
      ],
      "Shem_G1": [
        2146,
        2086,
        2016,
        1956
      ],
      "role": "alternative death coordinates, not successive deaths"
    },
    "sources": [
      "File70 §§4.3–4.5; A.7"
    ],
    "opened_utc": "2026-09-28T01:06:45.144102+00:00",
    "predecessor_sha256": "f41734dd9a81bfaae1a8cd1624ac912b6aaf30ce4f62e79917dfaa9629c65b02",
    "results": {
      "gaps": [
        [
          60,
          70,
          60
        ],
        [
          60,
          70,
          60
        ],
        [
          60,
          70,
          60
        ]
      ],
      "G2_minus_G1": [
        2,
        2,
        2,
        2
      ],
      "Shem_minus_Noah": [
        -150,
        -150,
        -150,
        -150
      ]
    },
    "finding": "The admitted alternative-date rows have one60|70|60 shape. The local Noah gear change translates it by2; the Shem comparison translates it by−150. No operation is extended to Creation or the later patriarchs.",
    "reassessment": "Determine how the supplied Joseph endpoint completes the local Noah400 comparison.",
    "checks": {
      "shape": true,
      "local_gear": true,
      "Shem": true
    },
    "closed_utc": "2026-09-28T01:06:45.144356+00:00",
    "sha256": "573c841d309b176b75aa17fa814703a74033852f7c2c22193021ccfc72237158"
  },
  {
    "step": 657,
    "title": "Complete the admitted Noah–Joseph comparison",
    "question": "How much of the400 comparison follows from the variant field?",
    "inputs": {
      "G2_variants": [
        2298,
        2238,
        2168,
        2108
      ],
      "Joseph_age17": 1898
    },
    "sources": [
      "File70 §§4.3–4.5; A.7"
    ],
    "opened_utc": "2026-09-28T01:06:55.557944+00:00",
    "predecessor_sha256": "573c841d309b176b75aa17fa814703a74033852f7c2c22193021ccfc72237158",
    "results": {
      "comparison_gaps": [
        60,
        70,
        60,
        210
      ],
      "total": 400,
      "variant_width": 190,
      "endpoint_arm": 210
    },
    "finding": "The source’s400 comparison is the190-wide alternative-date field plus the210 arm to Joseph1898. Its equality to a400 Affliction duration does not identify their event pairs, and the variant positions are not successive Noah deaths.",
    "reassessment": "Move to the cumulative4900 body and recover all its supplied cuts with one index.",
    "checks": {
      "gaps": true,
      "sum": true
    },
    "closed_utc": "2026-09-28T01:06:55.558129+00:00",
    "sha256": "bf11078192859834c0850ef1427d5eee9d34d171b17c11b810850d27fac015f4"
  },
  {
    "step": 658,
    "title": "Generate the cumulative4900 cuts",
    "question": "Can one70-year index recover the principal source junctions?",
    "inputs": {
      "head": 5436,
      "tail": 536,
      "indices": [
        0,
        49,
        50,
        69,
        70
      ],
      "source_nodes": [
        5436,
        2006,
        1936,
        606,
        536
      ]
    },
    "sources": [
      "File70 §9.1A; A.13.3 CM019–027"
    ],
    "opened_utc": "2026-09-28T01:07:10.286093+00:00",
    "predecessor_sha256": "bf11078192859834c0850ef1427d5eee9d34d171b17c11b810850d27fac015f4",
    "results": {
      "indexed_nodes": {
        "0": 5436,
        "49": 2006,
        "50": 1936,
        "69": 606,
        "70": 536
      },
      "cut_pairs": [
        [
          49,
          21
        ],
        [
          50,
          20
        ],
        [
          69,
          1
        ]
      ],
      "duration": 4900
    },
    "finding": "One rule x(k)=5436−70k recovers the source’s regular Jacob, cumulative Jacob/Levi, captivity and restoration positions. The49|21,50|20 and69|1 divisions are alternate cuts of one70-unit body.",
    "reassessment": "Test the1400 rectangle embedded in this indexed body.",
    "checks": {
      "all_nodes": true,
      "whole": true
    },
    "closed_utc": "2026-09-28T01:07:10.286398+00:00",
    "sha256": "319effa6a74d7ef5f55e635be6dc604f49c00c44ecb6023ac705019357f6c7dc"
  },
  {
    "step": 659,
    "title": "Generate the cumulative1400 rectangle",
    "question": "Are the four source spans independent or generated by matching70-year rails?",
    "inputs": {
      "upper": [
        2006,
        1936
      ],
      "lower": [
        606,
        536
      ]
    },
    "sources": [
      "File70 A.13.4 CM028–030; C658"
    ],
    "opened_utc": "2026-09-28T01:07:20.033807+00:00",
    "predecessor_sha256": "319effa6a74d7ef5f55e635be6dc604f49c00c44ecb6023ac705019357f6c7dc",
    "results": {
      "matrix": [
        [
          1400,
          1470
        ],
        [
          1330,
          1400
        ]
      ],
      "formula": "1400+70(j−i)",
      "rail_indices": [
        [
          49,
          50
        ],
        [
          69,
          70
        ]
      ]
    },
    "finding": "The1400 rectangle is the existing rail generator at spacing70. Its crossed1330/1470 spans follow from matching rails; the second1400 is a dependent corresponding comparison.",
    "reassessment": "Recover the source’s490|910 lower subdivision and locate Exodus within the same index.",
    "checks": {
      "matrix": true,
      "translation": true
    },
    "closed_utc": "2026-09-28T01:07:20.034008+00:00",
    "sha256": "ab2f1743e5cdeb2823d0646105d6079a963e48e58ec52d3aeffc29f5e803cd1e"
  },
  {
    "step": 660,
    "title": "Insert Exodus into the indexed cumulative body",
    "question": "What does the supplied Exodus1446 add to the4900 index?",
    "inputs": {
      "path": [
        5436,
        1936,
        1446,
        536
      ],
      "unit": 70
    },
    "sources": [
      "File70 §9.1A; A.13.3–4"
    ],
    "opened_utc": "2026-09-28T01:07:30.631859+00:00",
    "predecessor_sha256": "ab2f1743e5cdeb2823d0646105d6079a963e48e58ec52d3aeffc29f5e803cd1e",
    "results": {
      "indices": [
        0,
        50,
        57,
        70
      ],
      "gaps": [
        3500,
        490,
        910
      ],
      "unit_gaps": [
        50,
        7,
        13
      ]
    },
    "finding": "Exodus is index57 in the same source-conditioned lattice. The lower1400 is7|13 units, embedded in the complete50|7|13 partition of4900. The supplied Exodus role selects the cut; the other measures follow.",
    "reassessment": "Reconstruct the larger cumulative spine in its175-year unit.",
    "checks": {
      "indices": true,
      "parts": true,
      "closure": true
    },
    "closed_utc": "2026-09-28T01:07:30.632091+00:00",
    "sha256": "d03ee8c3087e7136879e8122d35a78baab6a12bd969dee9c4f699ee71128600e"
  },
  {
    "step": 661,
    "title": "Reconstruct the77-unit cumulative spine",
    "question": "Does one175-year path reproduce the entire supplied Creation-to-restoration spine?",
    "inputs": {
      "nodes": [
        14011,
        5436,
        1936,
        536
      ],
      "coefficients": [
        49,
        20,
        8
      ],
      "unit": 175
    },
    "sources": [
      "File70 §§1.4,5.8,9.1A; A.13.1 CM001–010"
    ],
    "opened_utc": "2026-09-28T01:07:42.014697+00:00",
    "predecessor_sha256": "d03ee8c3087e7136879e8122d35a78baab6a12bd969dee9c4f699ee71128600e",
    "results": {
      "generated": [
        14011,
        5436,
        1936,
        536
      ],
      "durations": [
        8575,
        3500,
        1400
      ],
      "total": 13475,
      "49_units": 275
    },
    "finding": "The full macro spine is49|20|8 in175-year units, totaling77 units or13475. The shared175 unit connects its anatomy to the earlier Abraham/covenant work without requiring every intermediate event to occupy the same role.",
    "reassessment": "Test what changes when the Jacob junction uses its exact phase instead of its whole-year display.",
    "checks": {
      "all_nodes": true,
      "coeff_sum": true,
      "alternate_measure": true
    },
    "closed_utc": "2026-09-28T01:07:42.014904+00:00",
    "sha256": "a0d84f8c925b253872722f59fc06113ea48519323f052803bc8e72618789290e"
  },
  {
    "step": 662,
    "title": "Resolve phase at the cumulative Jacob junction",
    "question": "Which macro properties survive replacing the displayed1936 with exact1936.5?",
    "inputs": {
      "outer": [
        5436,
        536
      ],
      "display": 1936,
      "exact": "3873/2"
    },
    "sources": [
      "File70 §§5.8,9.1A; exact-phase caution"
    ],
    "opened_utc": "2026-09-28T01:07:52.736421+00:00",
    "predecessor_sha256": "a0d84f8c925b253872722f59fc06113ea48519323f052803bc8e72618789290e",
    "results": {
      "display_arms": [
        3500,
        1400
      ],
      "exact_arms": [
        "6999/2",
        "2801/2"
      ],
      "change": [
        "-1/2",
        "1/2"
      ]
    },
    "finding": "The half-year phase transfers0.5 from the upper arm to the lower arm. The4900 body survives, but its20|8 split in175 units belongs to the whole-year display. A conserved total does not authorize discarding phase.",
    "reassessment": "Recover the source’s complete first-to-last triple correspondence.",
    "checks": {
      "exact": true,
      "total": true,
      "transfer": true
    },
    "closed_utc": "2026-09-28T01:07:52.736915+00:00",
    "sha256": "2daea098ec6cbf63a88a5a4f3bf3e42fed80faa0830ac55466b90b427df6a78b"
  },
  {
    "step": 663,
    "title": "Recover the cumulative first-to-last triple",
    "question": "Does the12075 correspondence apply to the whole supplied triple?",
    "inputs": {
      "creation": [
        14011,
        14004,
        13997
      ],
      "household": [
        1936,
        1929,
        1922
      ],
      "companion_role": "13997 source lower comparison node"
    },
    "sources": [
      "File70 §§1.4,5.8; A.13.1"
    ],
    "opened_utc": "2026-09-28T01:08:04.258801+00:00",
    "predecessor_sha256": "2daea098ec6cbf63a88a5a4f3bf3e42fed80faa0830ac55466b90b427df6a78b",
    "results": {
      "corresponding_spans": [
        12075,
        12075,
        12075
      ],
      "cross_matrix": [
        [
          12075,
          12082,
          12089
        ],
        [
          12068,
          12075,
          12082
        ],
        [
          12061,
          12068,
          12075
        ]
      ],
      "P_output": 12250,
      "175_coefficients": [
        69,
        70
      ]
    },
    "finding": "The supplied first-to-last triples form one7-year rail translated by12075. Its Prophetic conversion69→70 in175 units recovers12250, now within a complete coordinate family rather than an isolated duration.",
    "reassessment": "Fit Jacob’s147|490 biography and household boundary into the retained-path explanation.",
    "checks": {
      "all_three": true,
      "P": true,
      "anatomy": true
    },
    "closed_utc": "2026-09-28T01:08:04.259107+00:00",
    "sha256": "d625a36937a8aa68f064015a7f062f60ab5519646a7a91c2906c0c194117bbae"
  },
  {
    "step": 664,
    "title": "Recover the13-jubilee household path",
    "question": "How does Jacob’s lifespan partition the cumulative path to Exodus?",
    "inputs": {
      "nodes": [
        2083,
        1936,
        1446
      ],
      "roles": [
        "cumulative Jacob birth",
        "whole-year Jacob-death/Levi-birth boundary",
        "Exodus"
      ]
    },
    "sources": [
      "File70 §§5.8,9.1A; A.13"
    ],
    "opened_utc": "2026-09-28T01:08:15.256726+00:00",
    "predecessor_sha256": "d625a36937a8aa68f064015a7f062f60ab5519646a7a91c2906c0c194117bbae",
    "results": {
      "gaps": [
        147,
        490
      ],
      "49_coefficients": [
        3,
        10
      ],
      "total": 637
    },
    "finding": "The source household boundary partitions637 as147+490, or3|10 jubilee units. Its corporate reading concerns the boundary of Jacob’s household; it does not date every son’s birth to1936. File70’s macro and biographical families are linked through retained junction roles.",
    "reassessment": "Open Supplement A’s native720/30 family as a test of the same retained-component mechanism.",
    "checks": {
      "gaps": true,
      "jubilees": true,
      "total": true
    },
    "closed_utc": "2026-09-28T01:08:15.256986+00:00",
    "sha256": "57bef4b00bb583fe9e1f92091e9ed4b8628859c2d91d3fb2cb87336c800a3afb"
  },
  {
    "step": 665,
    "title": "Derive the native core from carrier and flank",
    "question": "What minimal source inputs generate the720/30 family?",
    "inputs": {
      "carrier": 720,
      "flank": 30
    },
    "sources": [
      "Supplement A §§1.1–1.2"
    ],
    "opened_utc": "2026-09-28T01:08:30.974042+00:00",
    "predecessor_sha256": "57bef4b00bb583fe9e1f92091e9ed4b8628859c2d91d3fb2cb87336c800a3afb",
    "results": {
      "core": 690,
      "flank_coefficients": {
        "core": 23,
        "carrier": 24,
        "native_bracket": 25,
        "expanded_core": 25
      }
    },
    "finding": "The crossed core690 is23 flanks of30. The carrier is24 flanks, and both the native two-flank bracket and E-expanded core are25 flanks. Their shared750 is forced by core=23×flank, while their component roles differ.",
    "reassessment": "Generate all native, P and E core/flank/bracket states together.",
    "checks": {
      "core": true,
      "forced_equality": true
    },
    "closed_utc": "2026-09-28T01:08:30.976261+00:00",
    "sha256": "1aeb72d2ecd8dc9dd6ded191817336a2590dc2700aed7b90d530052f84cb6a71"
  },
  {
    "step": 666,
    "title": "Generate the complete retained-flank table",
    "question": "Can one formula produce every native and converted bracket column?",
    "inputs": {
      "core": 690,
      "flank": 30,
      "operators": [
        "identity",
        "P",
        "E"
      ]
    },
    "sources": [
      "Supplement A §§1.1–1.2"
    ],
    "opened_utc": "2026-09-28T01:08:43.934003+00:00",
    "predecessor_sha256": "1aeb72d2ecd8dc9dd6ded191817336a2590dc2700aed7b90d530052f84cb6a71",
    "results": {
      "columns": [
        "core",
        "gain",
        "one_flank",
        "two_flanks"
      ],
      "rows": [
        [
          690,
          0,
          720,
          750
        ],
        [
          700,
          10,
          730,
          760
        ],
        [
          750,
          60,
          780,
          810
        ]
      ]
    },
    "finding": "Applying each Key to the core while retaining30-unit flanks generates the full source table:690/720/750,700/730/760 and750/780/810. The gain belongs to the core; a whole-bracket conversion is a different operation.",
    "reassessment": "Measure the exact difference between retained-flank and whole-bracket conversion.",
    "checks": {
      "source_table": true,
      "gains": true
    },
    "closed_utc": "2026-09-28T01:08:43.934579+00:00",
    "sha256": "13f081be334a5e06920e021097c80171ecc6103e09c820fb6f6241482071ebd6"
  },
  {
    "step": 667,
    "title": "Explain retained-part conversion algebraically",
    "question": "What term distinguishes converting a core from converting its entire bracket?",
    "inputs": {
      "core": 690,
      "flanks": [
        30,
        30
      ],
      "operators": [
        "P",
        "E"
      ]
    },
    "sources": [
      "C666",
      "C631 retained-part synthesis"
    ],
    "opened_utc": "2026-09-28T01:08:54.665397+00:00",
    "predecessor_sha256": "13f081be334a5e06920e021097c80171ecc6103e09c820fb6f6241482071ebd6",
    "results": {
      "rows": [
        {
          "retained": 760,
          "whole": "17500/23",
          "excess": "20/23",
          "flank_gain": "20/23"
        },
        {
          "retained": 810,
          "whole": "18750/23",
          "excess": "120/23",
          "flank_gain": "120/23"
        }
      ],
      "general_difference": "2(k−1)f"
    },
    "finding": "Whole conversion adds exactly2(k−1)f more than core conversion with retained flanks. This is the same retained-subdivision distinction that explains the earlier partial-E and whole-J routes: matching totals never establish identical internal paths.",
    "reassessment": "Reconstruct the native alternating ladder from its two rail parameters.",
    "checks": {
      "P_excess": true,
      "E_excess": true,
      "identity": true
    },
    "closed_utc": "2026-09-28T01:08:54.665748+00:00",
    "sha256": "65ceaa2a2d6692224d37483637d748381cb2e0a3bee2146ee8594dc7d403a603"
  },
  {
    "step": 668,
    "title": "Generate the whole alternating720/30 ladder",
    "question": "Can the source’s ten coordinates be recovered without separate date fitting?",
    "inputs": {
      "head": 4326,
      "core": 690,
      "flank": 30,
      "source": [
        4326,
        4296,
        3606,
        3576,
        2886,
        2856,
        2166,
        2136,
        1446,
        1416
      ]
    },
    "sources": [
      "Supplement A §1.3; admitted source ladder only"
    ],
    "opened_utc": "2026-09-28T01:09:07.681958+00:00",
    "predecessor_sha256": "65ceaa2a2d6692224d37483637d748381cb2e0a3bee2146ee8594dc7d403a603",
    "results": {
      "generated_nodes": [
        4326,
        4296,
        3606,
        3576,
        2886,
        2856,
        2166,
        2136,
        1446,
        1416
      ],
      "gaps": [
        30,
        690,
        30,
        690,
        30,
        690,
        30,
        690,
        30
      ],
      "same_rail_steps": [
        [
          720,
          720,
          720,
          720
        ],
        [
          720,
          720,
          720,
          720
        ]
      ],
      "width": 2910
    },
    "finding": "The ten supplied positions are two720-step rails separated by30. Their interleaving generates the alternating30|690 path and2910 outer width. Source, dependency and generated-companion roles remain attached to the original positions; no new SKL transport is inferred.",
    "reassessment": "Extract the six-node1470 cell and explain its alternative partitions.",
    "checks": {
      "whole_ladder": true,
      "gaps": true,
      "width": true
    },
    "closed_utc": "2026-09-28T01:09:07.682365+00:00",
    "sha256": "ebb63304f38feeb2026c85d30e53b38622a7cd2260ae47abc076d873610e9378"
  },
  {
    "step": 669,
    "title": "Explain every native1470 partition",
    "question": "Why do the source’s690+780 and720+750 measures agree?",
    "inputs": {
      "cell": [
        3606,
        3576,
        2886,
        2856,
        2166,
        2136
      ],
      "core": 690,
      "flank": 30
    },
    "sources": [
      "Supplement A §§1.4–1.5,2.3"
    ],
    "opened_utc": "2026-09-28T01:09:20.114961+00:00",
    "predecessor_sha256": "ebb63304f38feeb2026c85d30e53b38622a7cd2260ae47abc076d873610e9378",
    "results": {
      "total": 1470,
      "partitions": [
        [
          690,
          780
        ],
        [
          720,
          750
        ]
      ],
      "flank_units": 49,
      "center": 2871,
      "central_rail_center": 2871
    },
    "finding": "All three1470 expressions reduce to2c+3f=49f. The six-node cell and its central30 rail share midpoint2871. These are decompositions of one supplied object, not independent appearances of1470.",
    "reassessment": "Compare the cell’s48+1 month anatomy with the supplied intercalation ledger.",
    "checks": {
      "total": true,
      "partitions": true,
      "center": true
    },
    "closed_utc": "2026-09-28T01:09:20.115201+00:00",
    "sha256": "20f6d5b48f396e9af79d36e701509405ceaf30acfd6869ce31f401e8d8756404"
  },
  {
    "step": 670,
    "title": "Connect the1470 cell with calendrical intercalation",
    "question": "Which part of the shared1470 is the same anatomy, and which part retains distinct units?",
    "inputs": {
      "cell_units": [
        48,
        1
      ],
      "month_days": 30,
      "ledger": [
        6,
        2190,
        1470
      ],
      "civil_year_days": "1461/4"
    },
    "sources": [
      "Supplement A §2.2; File12 calendrical physics"
    ],
    "opened_utc": "2026-09-28T01:09:30.920569+00:00",
    "predecessor_sha256": "20f6d5b48f396e9af79d36e701509405ceaf30acfd6869ce31f401e8d8756404",
    "results": {
      "final_block": 1470,
      "ledger_days": 14610,
      "year_equivalent": "1461/4",
      "cell_30_units": 49
    },
    "finding": "The supplied intercalation final block has the same48+1 anatomy:4×360+30=1470 days. Its full ledger6×2190+1470=40×365.25 is a distinct calendrical realization; it does not turn the chronological1470-year cell into days.",
    "reassessment": "Consolidate File70’s indexed paths and Supplement A’s retained-flank family before phase analysis.",
    "checks": {
      "final": true,
      "ledger": true,
      "year_equivalent": true
    },
    "closed_utc": "2026-09-28T01:09:30.921473+00:00",
    "sha256": "77c4d361acbd2c726dbc617df8e8fe7c8aa3cc812c751cb2342a1855981e4bfa"
  },
  {
    "step": 671,
    "title": "Consolidate the retained-path explanation",
    "question": "What new mechanism connects biography, cumulative paths and calendar flanks?",
    "inputs": {
      "completed_range": [
        652,
        671
      ],
      "precision": [
        "phase test holds outer nodes fixed",
        "2083/1936/1446 path uses whole-year displays"
      ]
    },
    "sources": [
      "C652–C670",
      "Reviewer C652–C664"
    ],
    "opened_utc": "2026-09-28T01:09:53.093395+00:00",
    "predecessor_sha256": "77c4d361acbd2c726dbc617df8e8fe7c8aa3cc812c751cb2342a1855981e4bfa",
    "results": {
      "artifact": {
        "path": "deliverables/C671_Interim_Synthesis.md",
        "sha256": "2a41c2f375f92b22f0b043d23cd38cd2a3e48eaaa15807d6e901f8eda3ebf527",
        "bytes": 988
      },
      "mechanisms": [
        "reflection",
        "indexed path",
        "retained core and flanks"
      ]
    },
    "finding": "Forty steps now provide a connected explanatory grammar. The next productive question is how phase and center coordinates account for the source’s40/70/120 fields and Actual/Rounded closure.",
    "reassessment": "Derive the complete micro phase table from center, width and phase offsets.",
    "checks": {
      "range": true,
      "core_flank": true,
      "spine": true
    },
    "closed_utc": "2026-09-28T01:09:53.093672+00:00",
    "sha256": "c0fea8a69bfff9cd2fbde9e529de06cd0c6154e22d7db324869023ecc68124f0"
  },
  {
    "step": 672,
    "title": "Generate the complete phase bracket",
    "question": "Can center, width and suffix offset recover all eight supplied endpoints?",
    "inputs": {
      "base_center": 2871,
      "widths": [
        34,
        40
      ],
      "phase_offsets": {
        "n": 0,
        "t": "1/2"
      },
      "BC_label_rule": "coord(tY)=Y−1/2"
    },
    "sources": [
      "Supplement A §§4.1,4.3"
    ],
    "opened_utc": "2026-09-28T01:10:25.916112+00:00",
    "predecessor_sha256": "c0fea8a69bfff9cd2fbde9e529de06cd0c6154e22d7db324869023ecc68124f0",
    "results": {
      "phase_rows": [
        {
          "width": 34,
          "phase": "n",
          "coordinates": [
            2888,
            2854
          ],
          "labels": [
            2888,
            2854
          ]
        },
        {
          "width": 34,
          "phase": "t",
          "coordinates": [
            "5777/2",
            "5709/2"
          ],
          "labels": [
            2889,
            2855
          ]
        },
        {
          "width": 40,
          "phase": "n",
          "coordinates": [
            2891,
            2851
          ],
          "labels": [
            2891,
            2851
          ]
        },
        {
          "width": 40,
          "phase": "t",
          "coordinates": [
            "5783/2",
            "5703/2"
          ],
          "labels": [
            2892,
            2852
          ]
        }
      ],
      "formula": "x=C+epsilon±w/2"
    },
    "finding": "One center/width/phase formula generates all eight before/after positions. Corresponding suffix widths are34 and40; Tishri and Nisan centers remain separated by half a year in exact coordinates.",
    "reassessment": "Test whether one global affine date map can perform this entire phase change.",
    "checks": {
      "source_labels": true,
      "fixed_phase": true
    },
    "closed_utc": "2026-09-28T01:10:25.916432+00:00",
    "sha256": "7678cbcaa6477f93b68fab8add528ac5f16f45cd92d2602992138e0fc1a48d50"
  },
  {
    "step": 673,
    "title": "Test one-map compression of the phase family",
    "question": "Can one affine function change34 to40 while preserving every half-year phase separation?",
    "inputs": {
      "width_change": [
        34,
        40
      ],
      "phase_change": [
        "1/2",
        "1/2"
      ]
    },
    "sources": [
      "C672",
      "Supplement A §4.3"
    ],
    "opened_utc": "2026-09-28T01:10:37.837145+00:00",
    "predecessor_sha256": "7678cbcaa6477f93b68fab8add528ac5f16f45cd92d2602992138e0fc1a48d50",
    "results": {
      "required_width_slope": "20/17",
      "required_phase_slope": 1,
      "false_global_phase_gap": "10/17",
      "role_specific_rule": "C+epsilon+(20/17)(x−C−epsilon)"
    },
    "finding": "A single affine date map is impossible: width demands slope20/17, while the preserved phase separation demands slope1. The valid expression dilates around each phase’s own center. This explains why the full object needs a phase coordinate.",
    "reassessment": "Compare the scalar34.5 Key input with the coordinate34-to40 construction.",
    "checks": {
      "incompatible": true,
      "phase_miss": true,
      "phase_specific": true
    },
    "closed_utc": "2026-09-28T01:10:37.837450+00:00",
    "sha256": "acb88dbed3d675e012284caf3a98ebde7ef4e3ebf8c24677937e2a5ce1694f19"
  },
  {
    "step": 674,
    "title": "Unify the micro Key outputs",
    "question": "How do35,37.5 and40 relate to the source’s34.5 input?",
    "inputs": {
      "source_scalar": "69/2",
      "normalization_residual": "5/2"
    },
    "sources": [
      "Supplement A §§4.1,4.3"
    ],
    "opened_utc": "2026-09-28T01:10:47.985243+00:00",
    "predecessor_sha256": "acb88dbed3d675e012284caf3a98ebde7ef4e3ebf8c24677937e2a5ce1694f19",
    "results": {
      "P_output": 35,
      "E_output": "75/2",
      "output_gap": "5/2",
      "normalized": 40,
      "affine_continuation": 40
    },
    "finding": "The normalization residual2.5 equals the gap between E and P outputs. The source-defined40 therefore equals2E(34.5)−P(34.5). This compresses the two-stage calculation without promoting it to a new universal Key.",
    "reassessment": "Relate the scalar completion to the whole before/after phase envelopes.",
    "checks": {
      "keys": true,
      "residual": true,
      "completion": true
    },
    "closed_utc": "2026-09-28T01:10:47.985485+00:00",
    "sha256": "2441183bdc17f95c6de29513d0ee9f899375f5fc6731f27a16d936adc0c4e126"
  },
  {
    "step": 675,
    "title": "Recover all phase-envelope measurements",
    "question": "Which widths belong to each suffix or cross-phase measurement?",
    "inputs": {
      "corresponding_widths": [
        34,
        40
      ],
      "phase_offset": "1/2"
    },
    "sources": [
      "Supplement A §4.3; C672–C674"
    ],
    "opened_utc": "2026-09-28T01:10:59.990616+00:00",
    "predecessor_sha256": "2441183bdc17f95c6de29513d0ee9f899375f5fc6731f27a16d936adc0c4e126",
    "results": {
      "columns": [
        "inner_cross",
        "same_suffix",
        "outer_cross"
      ],
      "rows": [
        [
          "67/2",
          34,
          "69/2"
        ],
        [
          "79/2",
          40,
          "81/2"
        ]
      ],
      "coordinate_width_gain": 6,
      "scalar_normalization_gain": "11/2"
    },
    "finding": "The full phase table is33.5/34/34.5 before and39.5/40/40.5 after. Outward endpoint motion adds6 to every matched measurement, whereas34.5→40 adds5.5 because it changes measurement class. Those two statements are compatible once the measured objects are named.",
    "reassessment": "Resolve the source’s recovered35 row using exact phase coordinates.",
    "checks": {
      "rows": true,
      "uniform_gain": true,
      "different_class": true
    },
    "closed_utc": "2026-09-28T01:10:59.990859+00:00",
    "sha256": "80b6104a4a9454c430bb592a91bf17c53d61c2ec2c1a6df99ecafc6badf7b7ae"
  },
  {
    "step": 676,
    "title": "Reconstruct the recovered35 phase pair",
    "question": "What exact coordinates result from withdrawing2.5 at both normalized endpoints?",
    "inputs": {
      "T_coordinates": [
        "5783/2",
        "5703/2"
      ],
      "N_coordinates": [
        2891,
        2851
      ],
      "withdrawal": "5/2"
    },
    "sources": [
      "Supplement A §4.3; derived phase-resolution test"
    ],
    "opened_utc": "2026-09-28T01:11:12.299801+00:00",
    "predecessor_sha256": "80b6104a4a9454c430bb592a91bf17c53d61c2ec2c1a6df99ecafc6badf7b7ae",
    "results": {
      "from_T_coordinates": [
        2889,
        2854
      ],
      "from_T_labels": [
        "2889n",
        "2854n"
      ],
      "from_N_coordinates": [
        "5777/2",
        "5707/2"
      ],
      "from_N_labels": [
        "2889t",
        "2854t"
      ]
    },
    "finding": "Withdrawing2.5 from both normalized endpoints recovers width35 and changes the displayed suffix: the Tishri coordinates land on Nisan labels, and vice versa. The apparent integer-label ambiguity is resolved by the exact half-year convention.",
    "reassessment": "Generate the two40 brackets and their common120 field.",
    "checks": {
      "T_to_N": true,
      "N_to_T": true,
      "widths": true
    },
    "closed_utc": "2026-09-28T01:11:12.300041+00:00",
    "sha256": "e4e7f7c186a8300250e317a5d0021a4a8dfc136572995d93966ea4ae6ac8d330"
  },
  {
    "step": 677,
    "title": "Generate the120 field from two40 brackets",
    "question": "Does the supplied80 translation determine the entire enclosing field?",
    "inputs": {
      "lower_bracket": [
        2891,
        2851
      ],
      "translation": 80
    },
    "sources": [
      "Supplement A §4.4"
    ],
    "opened_utc": "2026-09-28T01:11:27.519699+00:00",
    "predecessor_sha256": "e4e7f7c186a8300250e317a5d0021a4a8dfc136572995d93966ea4ae6ac8d330",
    "results": {
      "upper": [
        2971,
        2931
      ],
      "ordered_field": [
        2971,
        2931,
        2891,
        2851
      ],
      "gaps": [
        40,
        40,
        40
      ],
      "center": 2911,
      "center_shift": 40
    },
    "finding": "Translating the40 bracket by80 generates three consecutive40 intervals across a120 envelope. Its center2911 is40 above the lower bracket’s center2871. The repeated40s are consequences of the supplied width and translation.",
    "reassessment": "Insert the separately supplied70-wide Enoch body at this common center.",
    "checks": {
      "upper": true,
      "field_gaps": true,
      "center": true
    },
    "closed_utc": "2026-09-28T01:11:27.520076+00:00",
    "sha256": "ef0b559f087799e8c71d4e2f7907fc4954945b043c34aa5aa477203bbbf23941"
  },
  {
    "step": 678,
    "title": "Derive the nested25|35|35|25 field",
    "question": "What follows once the source70 and120 bodies share center2911?",
    "inputs": {
      "center": 2911,
      "outer_width": 120,
      "Enoch_width": 70,
      "source_Enoch": [
        2946,
        2876
      ]
    },
    "sources": [
      "Supplement A §4.5"
    ],
    "opened_utc": "2026-09-28T01:11:43.642567+00:00",
    "predecessor_sha256": "ef0b559f087799e8c71d4e2f7907fc4954945b043c34aa5aa477203bbbf23941",
    "results": {
      "nodes": [
        2971,
        2946,
        2911,
        2876,
        2851
      ],
      "gaps": [
        25,
        35,
        35,
        25
      ],
      "margin": 25,
      "Key_decomposition": [
        25,
        35,
        35,
        25
      ]
    },
    "finding": "The two source widths and their common center force25|35|35|25. Each35 is P(34.5), each25 is E(23), but their sum is a retained-component construction rather than a newly defined whole120 Key image.",
    "reassessment": "Distinguish the source’s scalar1470 closure from its coordinate1475 envelope.",
    "checks": {
      "source_Enoch": true,
      "gaps": true,
      "keys": true
    },
    "closed_utc": "2026-09-28T01:11:43.642795+00:00",
    "sha256": "6a61820ebb7e0772f460ab3438ba227612a57983e352c71197f9ccf96669d696"
  },
  {
    "step": 679,
    "title": "Resolve the1470 versus1475 closure",
    "question": "Why do the source’s scalar and coordinate closures differ by five?",
    "inputs": {
      "center": 2871,
      "start_offsets": [
        -13,
        13
      ],
      "outward_arm": "1449/2",
      "scalar_arm": "1449/2"
    },
    "sources": [
      "Supplement A §4.2"
    ],
    "opened_utc": "2026-09-28T01:11:57.905972+00:00",
    "predecessor_sha256": "6a61820ebb7e0772f460ab3438ba227612a57983e352c71197f9ccf96669d696",
    "results": {
      "scalar_total": 1470,
      "coordinate_half_width": "1475/2",
      "coordinate_endpoints": [
        "7217/2",
        "4267/2"
      ],
      "coordinate_total": 1475,
      "Tishri_labels": [
        3609,
        2134
      ]
    },
    "finding": "P converts the scalar724.5 arm to735, giving1470. The coordinate construction instead starts13 away from center before adding724.5, giving737.5 per side and1475 overall. The five-year difference is fully accounted for by different constructions.",
    "reassessment": "Reconstruct the exterior-core opening of the ten-node ladder.",
    "checks": {
      "scalar": true,
      "coordinate": true,
      "labels": true
    },
    "closed_utc": "2026-09-28T01:11:57.906263+00:00",
    "sha256": "2568b44913d699faf86fa9b7c21f4d19e1e9139c2ff93f4aeb2f84ebd44cc2f9"
  },
  {
    "step": 680,
    "title": "Generate the exterior Prophetic opening",
    "question": "Does converting only the two outer cores recover the supplied2930 ladder?",
    "inputs": {
      "native": [
        4326,
        4296,
        3606,
        3576,
        2886,
        2856,
        2166,
        2136,
        1446,
        1416
      ],
      "outer_core_gain": 10
    },
    "sources": [
      "Supplement A §3.2"
    ],
    "opened_utc": "2026-09-28T01:12:11.959476+00:00",
    "predecessor_sha256": "2568b44913d699faf86fa9b7c21f4d19e1e9139c2ff93f4aeb2f84ebd44cc2f9",
    "results": {
      "opened_ladder": [
        4336,
        4306,
        3606,
        3576,
        2886,
        2856,
        2166,
        2136,
        1436,
        1406
      ],
      "gaps": [
        30,
        700,
        30,
        690,
        30,
        690,
        30,
        700,
        30
      ],
      "widths": [
        2910,
        2930
      ],
      "centers": [
        2871,
        2871
      ]
    },
    "finding": "Two ten-year core gains produce the complete source2930 ladder while preserving the six inner nodes, every30 flank and midpoint2871. This is selective opening, not P applied to the whole2910 span.",
    "reassessment": "Add the source’s final five-year boundary displacements and identify the conserved quantity.",
    "checks": {
      "source": true,
      "gaps": true,
      "selective": true
    },
    "closed_utc": "2026-09-28T01:12:11.959697+00:00",
    "sha256": "7258bcf80daec442b6b73da230c778d113d247ac031687675dcc1cbde8a0b143"
  },
  {
    "step": 681,
    "title": "Complete the conserved-center2940 corridor",
    "question": "What invariant joins all three source-selected outer endpoint pairs?",
    "inputs": {
      "pairs": [
        [
          4326,
          1416
        ],
        [
          4336,
          1406
        ],
        [
          4341,
          1401
        ]
      ],
      "final_outward_displacement": 5,
      "source_local_components": [
        2,
        3
      ]
    },
    "sources": [
      "Supplement A §5.1"
    ],
    "opened_utc": "2026-09-28T01:12:24.068500+00:00",
    "predecessor_sha256": "7258bcf80daec442b6b73da230c778d113d247ac031687675dcc1cbde8a0b143",
    "results": {
      "endpoint_sums": [
        5742,
        5742,
        5742
      ],
      "centers": [
        2871,
        2871,
        2871
      ],
      "widths": [
        2910,
        2930,
        2940
      ],
      "width_increments": [
        20,
        10
      ]
    },
    "finding": "Opposed endpoint changes preserve U+L=5742 while widening2910→2930→2940. The final five-year displacement is the source’s local2+3 construction; it supplies generated extremities4341/1401, not new canonical Creation/Conquest anchors or upstream Gear permission.",
    "reassessment": "Express translation and symmetric opening in center/width coordinates.",
    "checks": {
      "conservation": true,
      "widths": true,
      "increments": true
    },
    "closed_utc": "2026-09-28T01:12:24.068917+00:00",
    "sha256": "d32d88df01582cdc941379c82608f496ef61a931430306f6dc332bed2584b4d9"
  },
  {
    "step": 682,
    "title": "Separate translation from opening",
    "question": "Can one coordinate rule explain both the120 construction and the2940 closure?",
    "inputs": {
      "changes": {
        "translate80": [
          80,
          80
        ],
        "open10": [
          10,
          -10
        ],
        "open5": [
          5,
          -5
        ]
      }
    },
    "sources": [
      "C677,C680,C681"
    ],
    "opened_utc": "2026-09-28T01:12:36.616587+00:00",
    "predecessor_sha256": "d32d88df01582cdc941379c82608f496ef61a931430306f6dc332bed2584b4d9",
    "results": {
      "effects": {
        "translate80": {
          "center_change": 80,
          "width_change": 0
        },
        "open10": {
          "center_change": 0,
          "width_change": 20
        },
        "open5": {
          "center_change": 0,
          "width_change": 10
        }
      },
      "general_rule": "delta_c=(delta_U+delta_L)/2; delta_w=delta_U−delta_L"
    },
    "finding": "Center and width provide a common language for two different mechanisms: translation moves the center while retaining width; symmetric opening widens the body while retaining center. The new sources instantiate both, so no single undifferentiated date shift explains the family.",
    "reassessment": "Continue the admitted alternating ladder across the BC/AD boundary using civil elapsed time.",
    "checks": {
      "translation": true,
      "opening": true,
      "final": true
    },
    "closed_utc": "2026-09-28T01:12:36.616956+00:00",
    "sha256": "a351a7a5c3fee6a9423402b95d80d68802fbbf922aa1712a0a73b450b4762a68"
  },
  {
    "step": 683,
    "title": "Reconstruct the civil alternating continuation",
    "question": "Does the native30|690 cell close consistently across the missing year zero?",
    "inputs": {
      "civil_nodes": [
        "1446BC",
        "1416BC",
        "726BC",
        "696BC",
        "6BC",
        "AD25"
      ],
      "elapsed_coordinate": "BC B -> 1−B; AD A -> A"
    },
    "sources": [
      "Supplement A §5.2"
    ],
    "opened_utc": "2026-09-28T01:12:48.529185+00:00",
    "predecessor_sha256": "a351a7a5c3fee6a9423402b95d80d68802fbbf922aa1712a0a73b450b4762a68",
    "results": {
      "elapsed_coordinates": [
        -1445,
        -1415,
        -725,
        -695,
        -5,
        25
      ],
      "gaps": [
        30,
        690,
        30,
        690,
        30
      ],
      "total": 1470,
      "direct_civil": 1470
    },
    "finding": "The admitted continuation preserves30|690|30|690|30 and totals1470 under civil BC+AD−1. Its comparison terminals retain their source roles. The rounded mirror convention is a separate coordinate rule and is not substituted here.",
    "reassessment": "Relate the source’s750 civil brackets and final three-year completion.",
    "checks": {
      "gaps": true,
      "closure": true
    },
    "closed_utc": "2026-09-28T01:12:48.529476+00:00",
    "sha256": "b6d0d5c514db2773c492b86870cea98b88ed11072baf93ebf603ba450c8fb770"
  },
  {
    "step": 684,
    "title": "Connect civil brackets with the micro gain",
    "question": "How do the supplied750 brackets and AD27→30 completion arise?",
    "inputs": {
      "civil_pairs": [
        [
          726,
          25
        ],
        [
          724,
          27
        ]
      ],
      "micro_input": "69/2",
      "AD_start": 27
    },
    "sources": [
      "Supplement A §§5.3–5.4"
    ],
    "opened_utc": "2026-09-28T01:13:00.121864+00:00",
    "predecessor_sha256": "b6d0d5c514db2773c492b86870cea98b88ed11072baf93ebf603ba450c8fb770",
    "results": {
      "civil_widths": [
        750,
        750
      ],
      "coordinate_translation": 2,
      "E_micro_gain": 3,
      "completed_AD_label": 30
    },
    "finding": "Both supplied civil pairs have width750 and differ by a uniform two-year forward translation. The separate AD27→30 completion uses the micro E-gain3. Equal durations and later completion are connected operations with separately supplied anchors.",
    "reassessment": "Close the three-calendar calibration triangle at the micro input34.5.",
    "checks": {
      "widths": true,
      "gain": true,
      "completion": true
    },
    "closed_utc": "2026-09-28T01:13:00.122209+00:00",
    "sha256": "16f3165d0ad36e19154aa17131c11fbedf5e7f7ece0ca2f8ed67e20274403d66"
  },
  {
    "step": 685,
    "title": "Close the three-calendar micro triangle",
    "question": "Do all three existing Keys yield one calibrated volume at34.5?",
    "inputs": {
      "seed": "69/2",
      "calendar_lengths": [
        336,
        360,
        364
      ],
      "operators": [
        "E",
        "P",
        "J"
      ]
    },
    "sources": [
      "Supplement A §6; C631 common calibration"
    ],
    "opened_utc": "2026-09-28T01:13:12.649245+00:00",
    "predecessor_sha256": "16f3165d0ad36e19154aa17131c11fbedf5e7f7ece0ca2f8ed67e20274403d66",
    "results": {
      "converted_counts": [
        "75/2",
        35,
        "450/13"
      ],
      "calendar_volumes": [
        12600,
        12600,
        12600
      ],
      "common_volume": 12600
    },
    "finding": "At the micro seed34.5, all three calibrated routes meet at12600:336×E(s)=360×P(s)=364×J(s). The Priestly route completes the source’s P/J comparison using the already established common-calibration identity.",
    "reassessment": "Explain the exact twentyfold relation between the micro seed and the native690 core.",
    "checks": {
      "three_routes": true,
      "P_count": true,
      "E_count": true
    },
    "closed_utc": "2026-09-28T01:13:12.649489+00:00",
    "sha256": "2c656f9311602fd91e4ee680c5b909212683e2edf9709eb4e20b875e5be41f55"
  },
  {
    "step": 686,
    "title": "Unify the690 core and34.5 micro seed",
    "question": "Which parts of the two source constructions are exact scalar copies?",
    "inputs": {
      "micro_seed": "69/2",
      "scale": 20,
      "native_core": 690
    },
    "sources": [
      "Supplement A §§1,4,6"
    ],
    "opened_utc": "2026-09-28T01:13:24.014732+00:00",
    "predecessor_sha256": "2c656f9311602fd91e4ee680c5b909212683e2edf9709eb4e20b875e5be41f55",
    "results": {
      "micro_native_P_E": [
        "69/2",
        35,
        "75/2"
      ],
      "twentyfold": [
        690,
        700,
        750
      ],
      "twentyfold_normalized40": 800,
      "retained_bracket810_over20": "81/2"
    },
    "finding": "The native/P/E core sequence690→700/750 is exactly twenty times34.5→35/37.5. The normalized40 would scale to800, so it remains a separate completion. The810/20=40.5 comparison is numerical and does not establish an endpoint map.",
    "reassessment": "Trace the micro seed’s364-volume into the existing Actual/Rounded macro interface.",
    "checks": {
      "scaled": true,
      "normalization_distinct": true,
      "ratio": true
    },
    "closed_utc": "2026-09-28T01:13:24.015216+00:00",
    "sha256": "88a82a98769ff14a54acb300b8d0a816e66ef4160810b361291aead4fe825ba7"
  },
  {
    "step": 687,
    "title": "Connect micro volume to the Actual/Rounded span",
    "question": "Which equation explains the matching12558→12600 structure across scales?",
    "inputs": {
      "micro_count": "69/2",
      "calendar": 364,
      "Actual_pair": [
        14004,
        1446
      ],
      "Rounded_pair": [
        14006,
        1406
      ]
    },
    "sources": [
      "Supplement A §6; File52c latest; C631 Actual/Rounded interface"
    ],
    "opened_utc": "2026-09-28T01:13:40.622784+00:00",
    "predecessor_sha256": "88a82a98769ff14a54acb300b8d0a816e66ef4160810b361291aead4fe825ba7",
    "results": {
      "micro_volume_days": 12558,
      "Actual_elapsed_years": 12558,
      "J_completed_numeric": 12600,
      "Rounded_elapsed_years": 12600,
      "identity": "J(364s)=360P(s)"
    },
    "finding": "The micro volume34.5×364 and Actual cumulative interval share the numerical input12558. Their12600 completion follows from364J=360P. This is a common conversion structure across distinct units; the Rounded14006/1406 pair supplies its own endpoint realization.",
    "reassessment": "Determine why the alternative12740 register is a different calendar choice.",
    "checks": {
      "shared_input": true,
      "completion": true,
      "identity": true
    },
    "closed_utc": "2026-09-28T01:13:40.623049+00:00",
    "sha256": "332b3727acd8634833ea09bc05e689c5955eb17f94f698ba4696e00946bdaf58"
  },
  {
    "step": 688,
    "title": "Explain the two completed volume registers",
    "question": "What operation distinguishes12600 from12740 at the same35 count?",
    "inputs": {
      "count": 35,
      "calendar_lengths": [
        360,
        364
      ],
      "root_volume": 12558
    },
    "sources": [
      "Supplement A §6"
    ],
    "opened_utc": "2026-09-28T01:13:50.854956+00:00",
    "predecessor_sha256": "332b3727acd8634833ea09bc05e689c5955eb17f94f698ba4696e00946bdaf58",
    "results": {
      "volumes": [
        12600,
        12740
      ],
      "difference": 140,
      "calendar_ratio": "91/90",
      "cross_products": [
        4586400,
        4586400
      ],
      "root_outputs": [
        12600,
        12740
      ]
    },
    "finding": "The12600/12740 pair uses the same completed count35 with360/364 calendar lengths. Their ratio91/90 and shared cross-product follow from this construction; the product is a register equality, not an additional chronology or independent witness.",
    "reassessment": "Account for the PhaseNorm40 volume and its residual relative to12600.",
    "checks": {
      "outputs": true,
      "difference": true,
      "cross_products": true
    },
    "closed_utc": "2026-09-28T01:13:50.855260+00:00",
    "sha256": "6a57b724fbf99b68c4140eb5feef5e5089bec76a4cf0b92c0e3e3e75c48f3ba4"
  },
  {
    "step": 689,
    "title": "Explain the normalized13440 register",
    "question": "What added quantity separates PhaseNorm40 from the calibrated micro completion?",
    "inputs": {
      "E_count": "75/2",
      "normalized_count": 40,
      "Priestly_calendar": 336
    },
    "sources": [
      "Supplement A §§4.3,6"
    ],
    "opened_utc": "2026-09-28T01:14:01.247385+00:00",
    "predecessor_sha256": "6a57b724fbf99b68c4140eb5feef5e5089bec76a4cf0b92c0e3e3e75c48f3ba4",
    "results": {
      "calibrated_volume": 12600,
      "normalized_volume": 13440,
      "residual_volume": 840,
      "identity": "40×336 = E(34.5)×336 + 2.5×336"
    },
    "finding": "The normalized13440 body adds exactly840 to12600, because the source’s2.5 residual is measured in336-day units. This explains the extra completion without assigning it to a new event or applying another Key.",
    "reassessment": "Compare these scalar registers with the source’s retained2940 cumulative partition.",
    "checks": {
      "volumes": true,
      "additivity": true,
      "residual_count": true
    },
    "closed_utc": "2026-09-28T01:14:01.247647+00:00",
    "sha256": "445aa97ebd598e316fcc5451eea28d34d0ea5b4ef6486afe7a2b983ac1915aa2"
  },
  {
    "step": 690,
    "title": "Reconstruct the three cumulative completion paths",
    "question": "Can one retained2940 component generate the12600/12740/13440 family?",
    "inputs": {
      "source_head": 14006,
      "hinge": 4346,
      "tail": 1406,
      "upper": 9660,
      "retained_lower": 2940
    },
    "sources": [
      "Supplement A §10.2; inherited source family"
    ],
    "opened_utc": "2026-09-28T01:14:17.581267+00:00",
    "predecessor_sha256": "445aa97ebd598e316fcc5451eea28d34d0ea5b4ef6486afe7a2b983ac1915aa2",
    "results": {
      "paths": [
        {
          "upper": 9660,
          "lower": 2940,
          "total": 12600,
          "head": 14006
        },
        {
          "upper": 9800,
          "lower": 2940,
          "total": 12740,
          "head": 14146
        },
        {
          "upper": 10500,
          "lower": 2940,
          "total": 13440,
          "head": 14846
        }
      ],
      "calendar_bodies": [
        12600,
        12740,
        13440
      ],
      "upper_gain": [
        0,
        140,
        840
      ]
    },
    "finding": "Holding4346→1406 fixed while converting only the9660 upper arm generates all three source totals12600/12740/13440. The generated heads14006/14146/14846 retain their existing status. This realizes the micro register family through retained macro components, not one whole-span conversion.",
    "reassessment": "Consolidate the micro-to-Rounded bridge and decide which anchored routes best explain its placement.",
    "checks": {
      "source_paths": true,
      "heads": true,
      "gains": true
    },
    "closed_utc": "2026-09-28T01:14:17.581549+00:00",
    "sha256": "095d04922354663bba3291939fc2ccf9d76a4e0bc263e88c8a8d95761eacc34c"
  },
  {
    "step": 691,
    "title": "Consolidate phase and calendar completion",
    "question": "What causal chain now connects fine phase structure to the Round chronology?",
    "inputs": {
      "completed_range": [
        672,
        691
      ],
      "chain": [
        "phase scalar",
        "common calibration",
        "unit-qualified12558",
        "retained macro realization"
      ]
    },
    "sources": [
      "C672–C690",
      "Supplement A §§4–6,10"
    ],
    "opened_utc": "2026-09-28T01:14:40.195450+00:00",
    "predecessor_sha256": "095d04922354663bba3291939fc2ccf9d76a4e0bc263e88c8a8d95761eacc34c",
    "results": {
      "artifact": {
        "path": "deliverables/C691_Interim_Synthesis.md",
        "sha256": "87a846f67f4e545ba4a1bbaf0dbddfe3ad0804a57346e5ee646055e5a63e463a",
        "bytes": 1253
      },
      "completed_steps": 60
    },
    "finding": "Sixty steps now connect the local calendar geometry to the Rounded cumulative family through a common calibrated structure and a retained-component realization. The next explanatory need is the source-conditioned placement of the4346 hinge.",
    "reassessment": "Reconstruct both supplied regular-MT routes to4346 as anchored maps.",
    "checks": {
      "count": true,
      "calibration": true,
      "retained_completion": true
    },
    "closed_utc": "2026-09-28T01:14:40.195907+00:00",
    "sha256": "b780bd8176a9db84bb8d43f7ea3ef05e9d38fd8bbb69eb48d7de922745e35ac3"
  },
  {
    "step": 692,
    "title": "Recover the dual anchored4346 convergence",
    "question": "Do the two supplied MT states converge under their declared anchors and Keys?",
    "inputs": {
      "routes": [
        {
          "source": 4114,
          "anchor": 1446,
          "key": "E"
        },
        {
          "source": 4304,
          "anchor": 1406,
          "key": "P"
        }
      ]
    },
    "sources": [
      "Supplement A §§9.1–9.7; File22 dual-route ownership"
    ],
    "opened_utc": "2026-09-28T01:15:16.843677+00:00",
    "predecessor_sha256": "b780bd8176a9db84bb8d43f7ea3ef05e9d38fd8bbb69eb48d7de922745e35ac3",
    "results": {
      "routes": [
        {
          "input_radius": 2668,
          "output_radius": 2900,
          "gain": 232,
          "head": 4346
        },
        {
          "input_radius": 2898,
          "output_radius": 2940,
          "gain": 42,
          "head": 4346
        }
      ]
    },
    "finding": "Standard regular MT about Exodus under E and the+60/+130 source state about Conquest under P both generate4346. The agreement is between two explicitly anchored constructions;4346 remains their common generated parent label.",
    "reassessment": "Identify the exact balance of source, anchor and Key-gain differences that forces convergence.",
    "checks": {
      "input_radii": true,
      "output_radii": true,
      "common_head": true
    },
    "closed_utc": "2026-09-28T01:15:16.843944+00:00",
    "sha256": "927b83d21887697251308c280a103e9fdd64da41f0f1988a31cdb74639b8c6ed"
  },
  {
    "step": 693,
    "title": "Explain the dual-route convergence balance",
    "question": "Which differences are premises and which are consequences of the common head?",
    "inputs": {
      "source_states": [
        4114,
        4304
      ],
      "anchors": [
        1446,
        1406
      ],
      "gains": [
        232,
        42
      ],
      "completed_radii": [
        2900,
        2940
      ]
    },
    "sources": [
      "C692; Supplement A §9"
    ],
    "opened_utc": "2026-09-28T01:15:37.510819+00:00",
    "predecessor_sha256": "927b83d21887697251308c280a103e9fdd64da41f0f1988a31cdb74639b8c6ed",
    "results": {
      "source_gap": 190,
      "gain_gap": 190,
      "anchor_gap": 40,
      "completed_radius_gap": 40,
      "source_components": [
        60,
        130
      ]
    },
    "finding": "The two source states differ190=60+130, exactly balanced by their Key-gain difference232−42. Their completed radii differ40, matching the anchor separation. These equations explain convergence without turning the generated head into a transmitted Creation date.",
    "reassessment": "Recover the internal source partition under its declared anchoredP route.",
    "checks": {
      "gain_balance": true,
      "anchor_balance": true,
      "source_components": true
    },
    "closed_utc": "2026-09-28T01:15:37.511054+00:00",
    "sha256": "1d72aee4ddb7fbe300f83ad589ab3235dbf19a933e28e4d85aab9303dd420859"
  },
  {
    "step": 694,
    "title": "Map the full4304 source path throughP",
    "question": "Does the declared common-parent route preserve the source’s internal ratio?",
    "inputs": {
      "source_path": [
        4304,
        2648,
        1406
      ],
      "held_anchor": 1406
    },
    "sources": [
      "Supplement A §9.8"
    ],
    "opened_utc": "2026-09-28T01:15:49.571142+00:00",
    "predecessor_sha256": "1d72aee4ddb7fbe300f83ad589ab3235dbf19a933e28e4d85aab9303dd420859",
    "results": {
      "source_parts": [
        1656,
        1242
      ],
      "generated_path": [
        4346,
        2666,
        1406
      ],
      "generated_parts": [
        1680,
        1260
      ],
      "ratio": "4/3"
    },
    "finding": "The full anchoredP map takes1656|1242 to1680|1260 and2648 to2666 while retaining the4:3 partition ratio. Both internal labels are generated seams in this comparison, so shared numbers elsewhere do not transfer event identity.",
    "reassessment": "Reconstruct the4346 carrier ladder across the civil seam.",
    "checks": {
      "path": true,
      "parts": true,
      "ratio": true
    },
    "closed_utc": "2026-09-28T01:15:49.571458+00:00",
    "sha256": "09f00f86c0888e2e24d6346541fdc30c1bca672d297c9f14e47870bd8daf50f5"
  },
  {
    "step": 695,
    "title": "Generate the anchored1470 carrier ladder",
    "question": "Does one civil1470 step recover every supplied node and its five-year companion?",
    "inputs": {
      "source": [
        "4346BC",
        "2876BC",
        "1406BC",
        "AD65"
      ],
      "translation_forward": 5
    },
    "sources": [
      "Supplement A §§9.1–9.7"
    ],
    "opened_utc": "2026-09-28T01:16:02.244791+00:00",
    "predecessor_sha256": "09f00f86c0888e2e24d6346541fdc30c1bca672d297c9f14e47870bd8daf50f5",
    "results": {
      "native_civil_coordinates": [
        -4345,
        -2875,
        -1405,
        65
      ],
      "translated_civil_coordinates": [
        -4340,
        -2870,
        -1400,
        70
      ],
      "translated_labels": [
        "4341BC",
        "2871BC",
        "1401BC",
        "AD70"
      ],
      "gaps": [
        1470,
        1470,
        1470
      ]
    },
    "finding": "One1470-step civil ladder yields4346→2876→1406→AD65. Uniform translation by five years yields the companion4341→2871→1401→AD70. The Enoch close2876 and Long center2871 occupy different roles despite the whole-path relation.",
    "reassessment": "Test the source’s directional paired-Key convergence as a complete four-row family.",
    "checks": {
      "gaps": true,
      "translated": true,
      "preserved": true
    },
    "closed_utc": "2026-09-28T01:16:02.245093+00:00",
    "sha256": "cb4599c4c63f180b438d2d7e29944f04e746945115711b076eeef6e3d070ed92"
  },
  {
    "step": 696,
    "title": "Reconstruct the fixed directional Key matrix",
    "question": "Do all four source-declared anchored rows converge as stated?",
    "inputs": {
      "rows": [
        [
          3626,
          2936,
          "E"
        ],
        [
          3576,
          2886,
          "P"
        ],
        [
          2216,
          2906,
          "P"
        ],
        [
          2166,
          2856,
          "E"
        ]
      ],
      "scope": "fixed admitted comparison; no new SKL state"
    },
    "sources": [
      "Supplement A §§8.1–8.6"
    ],
    "opened_utc": "2026-09-28T01:16:16.360246+00:00",
    "predecessor_sha256": "cb4599c4c63f180b438d2d7e29944f04e746945115711b076eeef6e3d070ed92",
    "results": {
      "declared_outputs": [
        2876,
        2876,
        2916,
        2916
      ],
      "swapped_key_diagnostic": [
        2926,
        2826,
        2966,
        2866
      ],
      "input_magnitudes": [
        690,
        690,
        690,
        690
      ]
    },
    "finding": "All four admitted rows use magnitude690. The declared forward assignments meet at2876 and reverse assignments at2916; swapping Keys breaks each pairing. Direction and held anchor are essential parts of this bounded family, whose existing SKL comparison status is retained.",
    "reassessment": "Explain the50 offset algebraically instead of treating the convergences as separate matches.",
    "checks": {
      "magnitudes": true,
      "outputs": true,
      "swaps_fail": true
    },
    "closed_utc": "2026-09-28T01:16:16.360628+00:00",
    "sha256": "bd5e02dac1b62d11898bfb606e06ad49466aaee3a48f6ce6673865badf15b1e7"
  },
  {
    "step": 697,
    "title": "Derive directional convergence from the Key gap",
    "question": "What source offset makes the paired anchored outputs equal?",
    "inputs": {
      "span": 690,
      "held_forward": [
        3626,
        3576
      ],
      "held_reverse": [
        2216,
        2166
      ]
    },
    "sources": [
      "C696; Supplement A §8"
    ],
    "opened_utc": "2026-09-28T01:16:27.059306+00:00",
    "predecessor_sha256": "bd5e02dac1b62d11898bfb606e06ad49466aaee3a48f6ce6673865badf15b1e7",
    "results": {
      "Key_output_gap": 50,
      "forward_residual": 0,
      "reverse_residual": 0,
      "individual_gains": [
        10,
        60
      ]
    },
    "finding": "The50 source offset equals(E−P)×690. With the declared direction and assignment, that one equality forces both convergences. The four outputs are structured consequences of the offset and operators, not four independent confirmations.",
    "reassessment": "Recover the complete70-wide quartet and its supplied1470 translation.",
    "checks": {
      "gap": true,
      "residuals": true,
      "gains": true
    },
    "closed_utc": "2026-09-28T01:16:27.059594+00:00",
    "sha256": "7d177b1e037e0e89f11da8a55776b08a414cbe3f4868ce0427c15c6c02d11037"
  },
  {
    "step": 698,
    "title": "Reconstruct the quartet and its translated comparison",
    "question": "Which structural information survives the supplied1470 shift?",
    "inputs": {
      "quartet": [
        2946,
        2916,
        2906,
        2876
      ],
      "translated": [
        1476,
        1446,
        1436,
        1406
      ],
      "role_classes": [
        "generated companion",
        "direct Key output",
        "Short physical source anchor",
        "Key output and schematic Enoch close"
      ]
    },
    "sources": [
      "Supplement A §§8.5–8.6"
    ],
    "opened_utc": "2026-09-28T01:16:40.589401+00:00",
    "predecessor_sha256": "7d177b1e037e0e89f11da8a55776b08a414cbe3f4868ce0427c15c6c02d11037",
    "results": {
      "translated": [
        1476,
        1446,
        1436,
        1406
      ],
      "gaps": [
        30,
        10,
        30
      ],
      "center": 2911,
      "translated_center": 1441
    },
    "finding": "The complete quartet has30|10|30 topology and center2911. Its declared1470 translation preserves that shape across1476/1446/1436/1406, while Joshua, Exodus, generated comparison and Conquest roles remain separate. Only2916 and2876 are direct outputs of the paired-Key matrix.",
    "reassessment": "Refine the source’s full Danielic4900 path through the same4346 hinge.",
    "checks": {
      "translation": true,
      "gaps": true,
      "reflected": true
    },
    "closed_utc": "2026-09-28T01:16:40.589679+00:00",
    "sha256": "9c72002942445fc21ca3ca6527582dd2e6eb253671f7b633d84a34c74f99d6d5"
  },
  {
    "step": 699,
    "title": "Recover the complete refined4900 civil path",
    "question": "Does the source’s detailed Danielic path close with every retained junction?",
    "inputs": {
      "labels": [
        "4836BC",
        "4346BC",
        "2946BC",
        "2876BC",
        "1406BC",
        "6BC",
        "AD30",
        "AD65"
      ]
    },
    "sources": [
      "Supplement A §§11.1–11.6"
    ],
    "opened_utc": "2026-09-28T01:16:58.102573+00:00",
    "predecessor_sha256": "9c72002942445fc21ca3ca6527582dd2e6eb253671f7b633d84a34c74f99d6d5",
    "results": {
      "civil_coordinates": [
        -4835,
        -4345,
        -2945,
        -2875,
        -1405,
        -5,
        30,
        65
      ],
      "gaps": [
        490,
        1400,
        70,
        1470,
        1400,
        35,
        35
      ],
      "70_unit_counts": [
        7,
        20,
        1,
        21,
        20,
        "1/2",
        "1/2"
      ],
      "total": 4900
    },
    "finding": "The source’s entire refined path closes as490|1400|70|1470|1400|35|35=4900. It joins the4346 hinge, Enoch body, carrier ladder and civil terminal in one labeled path. The source’s schematic Christological roles retain their prior status.",
    "reassessment": "Contract only the admitted interior junctions to recover the coarse Danielic template.",
    "checks": {
      "gaps": true,
      "total": true,
      "counts": true
    },
    "closed_utc": "2026-09-28T01:16:58.102923+00:00",
    "sha256": "55aa3c06e5d63dbfa1379759c8af965a831e12cc17254b652a7e279122177226"
  },
  {
    "step": 700,
    "title": "Explain coarse and refined path agreement",
    "question": "What information is retained when the detailed4900 path becomes the Danielic template?",
    "inputs": {
      "refined": [
        490,
        1400,
        70,
        1470,
        1400,
        35,
        35
      ],
      "grouping": [
        [
          0
        ],
        [
          1,
          2,
          3,
          4
        ],
        [
          5
        ],
        [
          6
        ]
      ]
    },
    "sources": [
      "Supplement A §§11.1–11.6; C699"
    ],
    "opened_utc": "2026-09-28T01:17:13.098892+00:00",
    "predecessor_sha256": "55aa3c06e5d63dbfa1379759c8af965a831e12cc17254b652a7e279122177226",
    "results": {
      "coarse": [
        490,
        4340,
        35,
        35
      ],
      "tenth_scale_template": [
        49,
        434,
        "7/2",
        "7/2"
      ],
      "retained_total": 4900
    },
    "finding": "Grouping the four middle intervals yields490|4340|35|35, whose tenth-scale template is49|434|3.5|3.5. Coarse and fine rows are two resolutions of one source path; the template alone does not establish a separate literal434-year historical interval.",
    "reassessment": "Examine the two69-coefficient arms meeting at4346.",
    "checks": {
      "coarse": true,
      "tenth": true,
      "total": true
    },
    "closed_utc": "2026-09-28T01:17:13.099183+00:00",
    "sha256": "bdfd70d2d0675ea10d2f614255e01323039e6eae593c9c6fe2cf82223595659b"
  },
  {
    "step": 701,
    "title": "Recover the hinge’s two coefficient arms",
    "question": "How do the admitted cumulative and projective arms fit around4346?",
    "inputs": {
      "upper_BC": 14006,
      "hinge_BC": 4346,
      "projective_AD": 29465,
      "projective_status": "inherited comparison boundary"
    },
    "sources": [
      "Supplement A §§10.1–10.5"
    ],
    "opened_utc": "2026-09-28T01:17:25.679962+00:00",
    "predecessor_sha256": "bdfd70d2d0675ea10d2f614255e01323039e6eae593c9c6fe2cf82223595659b",
    "results": {
      "arms": [
        9660,
        33810
      ],
      "69_units": [
        140,
        490
      ],
      "partition_4830_units": [
        2,
        7
      ],
      "fixed_projective_generated_heads": [
        4836,
        7286
      ],
      "whole": 43470
    },
    "finding": "The admitted4346 hinge divides the whole43470 civil span as9660|33810=69×(140|490), or2|7 in4830 units. With the supplied projective endpoint held, P/E generate4836/7286; those retain co-registration/generated roles and are not new primary anchors.",
    "reassessment": "Test the supplied cumulative Cainan pair within the same anchoredE family.",
    "checks": {
      "arms": true,
      "partition": true,
      "heads": true,
      "whole": true
    },
    "closed_utc": "2026-09-28T01:17:25.680285+00:00",
    "sha256": "64287a67d336772e40a02a1425dde203b926b49ae1390590e6626781c6839120"
  },
  {
    "step": 702,
    "title": "Recover the cumulative insertion pair-difference law",
    "question": "What happens to the supplied460 cumulative Cainan increment under anchoredE?",
    "inputs": {
      "heads": [
        14006,
        14466
      ],
      "anchor": 4346,
      "source_increment": 460
    },
    "sources": [
      "Supplement A §10; regular/cumulative role distinction"
    ],
    "opened_utc": "2026-09-28T01:17:36.802589+00:00",
    "predecessor_sha256": "64287a67d336772e40a02a1425dde203b926b49ae1390590e6626781c6839120",
    "results": {
      "input_radii": [
        9660,
        10120
      ],
      "output_radii": [
        10500,
        11000
      ],
      "generated_heads": [
        14846,
        15346
      ],
      "output_difference": 500
    },
    "finding": "The source cumulative increment460 becomes500 under E, producing the declared14846/15346 pair. This is the same affine pair-difference law operating on cumulative lifespans; it does not replace the regular Cainan130 used in the earlier calendar placement.",
    "reassessment": "Summarize the operator types now required before testing the fixed phase-reflection set.",
    "checks": {
      "inputs": true,
      "outputs": true,
      "heads": true,
      "difference": true
    },
    "closed_utc": "2026-09-28T01:17:36.803204+00:00",
    "sha256": "51b9dad939031da9b84f553cca5d9a0d88c262810938a74e7c12e041a61dee6f"
  },
  {
    "step": 703,
    "title": "Apply source-role and unit review",
    "question": "Which wording distinctions are needed before integrating the micro/macro result?",
    "inputs": {
      "reviewed_steps": [
        689,
        690,
        691
      ],
      "source_locator": "Supplement A §10.3",
      "residual_count": "5/2",
      "calendar_length": 336
    },
    "sources": [
      "Reviewer C677–C690; Supplement A §10.3"
    ],
    "opened_utc": "2026-09-28T01:18:04.546019+00:00",
    "predecessor_sha256": "51b9dad939031da9b84f553cca5d9a0d88c262810938a74e7c12e041a61dee6f",
    "results": {
      "corrections": {
        "C689": "The840-day interpretation is derived by applying the336-day calendar to the source-defined2.5 phase residual.",
        "C690": "14006 is the native Rounded head;14146 and14846 are generated comparison heads. The matrix locator is§10.3.",
        "C691": "Read2.5 additional336-day calendar units, totaling840days; not840 such units. The macro analogue has its own declared year units.",
        "phase_centers": "Bare2871/2911 here are Nisan coordinates; corresponding Tishri coordinates are0.5 greater."
      },
      "residual_days": 840,
      "macro_year_gain": 840
    },
    "finding": "Independent review confirms the arithmetic and identifies three source-role/unit wording refinements. These corrections supersede the affected interim prose; all final explanations will distinguish native14006, generated companion heads, and the derived residual-volume interpretation.",
    "reassessment": "Test the literal twelve-node source phase field through its declared affine reflection.",
    "checks": {
      "residual": true,
      "macro": true,
      "native": true
    },
    "closed_utc": "2026-09-28T01:18:04.546366+00:00",
    "sha256": "268e41f4e6704830c7402278c598853c0df06de53065e163d18b9506b15287f1"
  },
  {
    "step": 704,
    "title": "Reconstruct the fixed twelve-node phase field",
    "question": "Can one declared template reproduce every literal source node?",
    "inputs": {
      "literal_BC_pairs": [
        [
          2939,
          2938
        ],
        [
          2937,
          2936
        ],
        [
          2935,
          2934
        ],
        [
          2909,
          2908
        ],
        [
          2907,
          2906
        ],
        [
          2905,
          2904
        ]
      ],
      "chart": "t(B)=−B+3/4; n(B)=−B+1/4",
      "scope": "literal existing set only"
    },
    "sources": [
      "Supplement A §13.1; amendment-local status"
    ],
    "opened_utc": "2026-09-28T01:18:24.581538+00:00",
    "predecessor_sha256": "268e41f4e6704830c7402278c598853c0df06de53065e163d18b9506b15287f1",
    "results": {
      "literal_coordinates": [
        "-11753/4",
        "-11751/4",
        "-11745/4",
        "-11743/4",
        "-11737/4",
        "-11735/4",
        "-11633/4",
        "-11631/4",
        "-11625/4",
        "-11623/4",
        "-11617/4",
        "-11615/4"
      ],
      "center": -2921,
      "width": "69/2",
      "template": "−2921+15r+2g+p/4"
    },
    "finding": "The declared six phase pairs form exactly the supplied twelve-node template centered at−2921 with width34.5. The template reconstructs a fixed admitted field; its local indices do not authorize new Gear or remote SKL states.",
    "reassessment": "Test the whole set under its declared affine reflection and translation.",
    "checks": {
      "literal_template": true,
      "distinct": true,
      "geometry": true
    },
    "closed_utc": "2026-09-28T01:18:24.581901+00:00",
    "sha256": "e5da07e2d7bf4e65cc13d71cbc5a327a5bb59a09044273f15c52c08b84c835ce"
  },
  {
    "step": 705,
    "title": "Verify the whole-set affine mirror",
    "question": "Does the declared5842 translation match the mirror for every fixed node?",
    "inputs": {
      "center": -2921,
      "template_coefficients": [
        15,
        2,
        "1/4"
      ],
      "translation": 5842
    },
    "sources": [
      "Supplement A §13.2; C704"
    ],
    "opened_utc": "2026-09-28T01:18:37.278527+00:00",
    "predecessor_sha256": "e5da07e2d7bf4e65cc13d71cbc5a327a5bb59a09044273f15c52c08b84c835ce",
    "results": {
      "transpositions": [
        [
          "-11753/4",
          "-11615/4"
        ],
        [
          "-11751/4",
          "-11617/4"
        ],
        [
          "-11745/4",
          "-11623/4"
        ],
        [
          "-11743/4",
          "-11625/4"
        ],
        [
          "-11737/4",
          "-11631/4"
        ],
        [
          "-11735/4",
          "-11633/4"
        ]
      ],
      "fixed_points": 0,
      "translated_equals_mirrored": true
    },
    "finding": "The5842 translation sends the entire fixed field onto its mirror; the associated reflection permutes it in six pairs with no fixed node. This is affine reflection of phase coordinates, distinct from decimal digit reversal and from File52c’s rounded mirror chart.",
    "reassessment": "Compare all four source-listed cycle totals against the same fixed set.",
    "checks": {
      "set_reflection": true,
      "double_reflection": true,
      "translation": true,
      "six_pairs": true
    },
    "closed_utc": "2026-09-28T01:18:37.278975+00:00",
    "sha256": "3ca6c07e4fdfc146cf513c30c5638764db6f6517c8e69613dc0b5d44257409bf"
  },
  {
    "step": 706,
    "title": "Recover the fixed-set overlap inventory",
    "question": "Which of the source-listed cycle totals closes the whole declared field?",
    "inputs": {
      "cycle_totals": [
        5840,
        5842,
        5844,
        5846
      ],
      "fixed_field_center": -2921
    },
    "sources": [
      "Supplement A §13.3; C704–C705"
    ],
    "opened_utc": "2026-09-28T01:18:51.229325+00:00",
    "predecessor_sha256": "3ca6c07e4fdfc146cf513c30c5638764db6f6517c8e69613dc0b5d44257409bf",
    "results": {
      "columns": [
        "total",
        "overlap",
        "outside"
      ],
      "rows": [
        [
          5840,
          8,
          4
        ],
        [
          5842,
          12,
          0
        ],
        [
          5844,
          8,
          4
        ],
        [
          5846,
          4,
          8
        ]
      ],
      "fixed_source_set": true
    },
    "finding": "The complete fixed-set inventory is8/12/8/4 overlaps for5840/5842/5844/5846. Only5842 covers every node. Selected-route matches at other totals remain valid local comparisons but do not establish whole-field closure.",
    "reassessment": "Derive the conditional placement theorem from centers rather than searching more candidate dates.",
    "checks": {
      "inventory": true,
      "unique_listed_full": true
    },
    "closed_utc": "2026-09-28T01:18:51.229744+00:00",
    "sha256": "4423f316801b318a441eea5684f08048dcfccbdb184c7dfb6cfd040f5d51fc00"
  },
  {
    "step": 707,
    "title": "Derive the fixed-template placement condition",
    "question": "What does whole-field mirror closure determine once the shape is fixed?",
    "inputs": {
      "translation": 5842,
      "symmetric_template_center": 0,
      "shape": "fixed literal twelve-node template"
    },
    "sources": [
      "Supplement A §13.4"
    ],
    "opened_utc": "2026-09-28T01:19:05.456745+00:00",
    "predecessor_sha256": "4423f316801b318a441eea5684f08048dcfccbdb184c7dfb6cfd040f5d51fc00",
    "results": {
      "required_center": -2921,
      "center_equation": "c+L=−c",
      "template_symmetric": true,
      "scope": "unique placement conditional on fixed shape, chart and L"
    },
    "finding": "Whole-field closure forces c=−L/2=−2921, and the fixed symmetric template makes that condition sufficient. The period determines placement only after shape, phase chart and closure requirement have been supplied; it does not independently determine them.",
    "reassessment": "Compare the source’s anchored calendar-body placement packet with this fixed-template result.",
    "checks": {
      "necessary": true,
      "sufficient_shape": true,
      "center": true
    },
    "closed_utc": "2026-09-28T01:19:05.457229+00:00",
    "sha256": "062f407ed4f4fa4183b5ad1794b7a89688d417b795fa4d964b1782571a665f12"
  },
  {
    "step": 708,
    "title": "Generate the anchored calendar-body quartet",
    "question": "Can the source’s ordinary and schematic four-year bodies explain all four anchors?",
    "inputs": {
      "Exodus_anchor": 1446,
      "ordinary_body": 1460,
      "schematic_body": 1440,
      "rail": 30
    },
    "sources": [
      "Supplement A §13.7; fixed placement packet"
    ],
    "opened_utc": "2026-09-28T01:19:25.736845+00:00",
    "predecessor_sha256": "062f407ed4f4fa4183b5ad1794b7a89688d417b795fa4d964b1782571a665f12",
    "results": {
      "quartet": [
        2936,
        2906,
        2886,
        2856
      ],
      "gaps": [
        30,
        20,
        30
      ],
      "Short_center_label": 2921,
      "two_anchor_offset": 50
    },
    "finding": "The anchored packet generates2936/2906/2886/2856 and30|20|30 directly from1446, two declared calendar bodies and the30 rail. Its Short center2921 agrees with the fixed phase placement, but both constructions retain their supplied premises and distinct charts.",
    "reassessment": "Check whether the supplied Long-centered field could share the same whole-set translation.",
    "checks": {
      "quartet": true,
      "gaps": true,
      "center": true,
      "offset": true
    },
    "closed_utc": "2026-09-28T01:19:25.737189+00:00",
    "sha256": "9fb611fc448e8a8ae1f57a1609c35de532b6a557b9937c22756ecb2352d5a25f"
  },
  {
    "step": 709,
    "title": "Separate Short and Long whole-field translations",
    "question": "Does a50-shifted center preserve the5842 whole-field closure requirement?",
    "inputs": {
      "Short_center": -2921,
      "Long_center": -2871,
      "shape": "same fixed phase template"
    },
    "sources": [
      "Supplement A §13.9; C707"
    ],
    "opened_utc": "2026-09-28T01:19:36.381089+00:00",
    "predecessor_sha256": "9fb611fc448e8a8ae1f57a1609c35de532b6a557b9937c22756ecb2352d5a25f",
    "results": {
      "self_mirror_lengths": [
        5842,
        5742
      ],
      "length_difference": 100,
      "Long_center_residual_under5842": 100
    },
    "finding": "The supplied Long center requires5742 for its own mirror closure,100 less than the Short field’s5842. A50 center displacement doubles in the required translation. No adjacent state or remote extension is introduced to erase this distinction.",
    "reassessment": "Compare the conserved quantities across the now-completed chronological mechanisms.",
    "checks": {
      "lengths": true,
      "double_shift": true,
      "fixed5842_fails": true
    },
    "closed_utc": "2026-09-28T01:19:36.381472+00:00",
    "sha256": "f699d548aa4d3dbd3fc8d791a624fc57e81fed7ac6e8617c0c6dbd76278467fc"
  },
  {
    "step": 710,
    "title": "Unify the conserved measurements",
    "question": "Which simple linear quantities explain the family-preserving changes?",
    "inputs": {
      "changes": {
        "biography": [
          100,
          -100
        ],
        "symmetric_opening": [
          10,
          -10
        ],
        "Actual_to_Rounded_C_R": [
          2,
          -8
        ]
      },
      "weights": {
        "biography": [
          1,
          1
        ],
        "symmetric_opening": [
          1,
          1
        ],
        "Actual_to_Rounded_C_R": [
          4,
          1
        ]
      }
    },
    "sources": [
      "C631 integrated synthesis; C681–C682; Research Strategy"
    ],
    "opened_utc": "2026-09-28T01:19:52.257351+00:00",
    "predecessor_sha256": "f699d548aa4d3dbd3fc8d791a624fc57e81fed7ac6e8617c0c6dbd76278467fc",
    "results": {
      "conservation_checks": {
        "biography": 0,
        "symmetric_opening": 0,
        "Actual_to_Rounded_C_R": 0
      },
      "functionals": [
        "b+r",
        "U+L",
        "4C+R"
      ],
      "Actual_Rounded_values": [
        12026.0,
        12026.0
      ]
    },
    "finding": "Three previously separate mechanisms share a precise explanation: their allowed change vectors preserve a specified measurement. Biography preserves total lifespan, opposed opening preserves center, and the Actual/Rounded displacement preserves4C+R. The weights differ because the measured objects differ.",
    "reassessment": "Consolidate the anchored and fixed-set results, then assemble the complete explanatory deliverables.",
    "checks": {
      "all_invariants": true,
      "weighted_anchor": true
    },
    "closed_utc": "2026-09-28T01:19:52.257669+00:00",
    "sha256": "462cc50e9847f409a42e3579f759a024298d72a3ab5a7bd773c94536f974b897"
  },
  {
    "step": 711,
    "title": "Consolidate the anchored and fixed-set families",
    "question": "How do the new placement results serve the Strategy’s whole-family goal?",
    "inputs": {
      "completed_steps": 80,
      "families": [
        "dual4346 routes",
        "directional690 matrix",
        "refined4900 path",
        "fixed12-phase field",
        "conserved measurements"
      ]
    },
    "sources": [
      "C692–C710; Research Strategy"
    ],
    "opened_utc": "2026-09-28T01:20:35.139004+00:00",
    "predecessor_sha256": "462cc50e9847f409a42e3579f759a024298d72a3ab5a7bd773c94536f974b897",
    "results": {
      "artifact": {
        "path": "deliverables/C711_Interim_Synthesis.md",
        "sha256": "c094ab8c8f22085d4a6965928f66a0ab04494b577d5c271a7a7bc40fdc4ccb4b",
        "bytes": 1473
      },
      "completed_steps": 80
    },
    "finding": "Eighty sequential steps now connect whole source families through a small set of operations and conservation laws. The remaining work will compress that explanation, test its cross-family statements and complete the reviewable deliverables.",
    "reassessment": "Build a compact mode-and-mechanism map that includes MT/LXX/SP and the Round chronology.",
    "checks": {
      "count": true,
      "balances": true,
      "phase_center": true
    },
    "closed_utc": "2026-09-28T01:20:35.139415+00:00",
    "sha256": "e211534d6cf56f98f1ed86544d27e9f0028c30b2c0e28aef6845a5053ba02953"
  }
]