{
  "status": "Source preparation only; no numbered research step executed; no canonical edits.",
  "source": {
    "path": "/workspace/scratch/1b40da62dcbd/project_sources/14-file_70-supplement-a-key-of-23-fine-resolution-720-30-rail-2-.md",
    "sha256": "7a3a2b42ad70a08f9b44b087106b4f6517924c13a00817ecfadf1326da11b968",
    "trust": "Inherited August28 Final; September6 Sothic amendment verification-complete and registered, not separately author-Finalized or full-file pressure tested."
  },
  "scope": {
    "admitted_here": "Extract and summarize existing source inputs and formulas. Root chooses any bounded read-only reconstruction later.",
    "not_opened": [
      "new SKL source variants",
      "remote Creation/Flood source-chain propagation",
      "new 360:1 scaling executions",
      "new Gear transports",
      "new macro rails",
      "extra phases or adjacent dates to repair failures",
      "primers",
      "second decimal inversion",
      "source promotion or canonical edits"
    ]
  },
  "operators": {
    "E": "25/23 =75/69",
    "P": "70/69",
    "J": "300/299",
    "BC_anchored_dilation": "D(k,a,x)=a+k*(x-a)",
    "civil_crossing": "B+A-1",
    "ordinary_affine_translation": "source-positive-BC label minus d means forward d in civil time",
    "Sothic_phase_model": "Separate January-centered quarter-year chart in section13; not Rounded chart."
  },
  "section8": {
    "locator": {
      "section": "8.1–8.10",
      "start_line": 1251
    },
    "transmitted_rows": [
      {
        "state": "Short",
        "whole_year_total": 17980,
        "physical_anchor_BC": 2906,
        "plus30_anchor_BC": 2936,
        "physical_Flood_BC": 20886,
        "plus30_Flood_BC": 20916,
        "720_coefficient": 25,
        "source_total_residual": -20
      },
      {
        "state": "Long",
        "whole_year_total": 24510,
        "physical_anchor_BC": 2856,
        "plus30_anchor_BC": 2886,
        "physical_Flood_BC": 27366,
        "plus30_Flood_BC": 27396,
        "720_coefficient": 34,
        "source_total_residual": 30
      }
    ],
    "compensation": {
      "source_total_difference": 6530,
      "anchor_difference": 50,
      "Flood_difference": 6480,
      "crossed_Flood_differences": [
        6450,
        6510
      ],
      "formula": "(24510-17980)+(2856-2906)=6480",
      "source_locator": "8.2, line1271"
    },
    "pure720_source_constructions": [
      {
        "Flood_BC": 20916,
        "count": 25,
        "unit": 720,
        "landing_BC": 2916
      },
      {
        "Flood_BC": 27396,
        "count": 34,
        "unit": 720,
        "landing_BC": 2916
      },
      {
        "Flood_BC": 20886,
        "count": 25,
        "unit": 720,
        "landing_BC": 2886
      },
      {
        "Flood_BC": 27366,
        "count": 34,
        "unit": 720,
        "landing_BC": 2886
      }
    ],
    "paired_key_matrix": {
      "source_locator": "8.5.1–8.5.3, lines1369–1442",
      "common_input_span": 690,
      "completed_spans": {
        "E": 750,
        "P": 700
      },
      "rows": [
        {
          "variant": "Short",
          "direction": "forward",
          "held_BC": 3626,
          "moving_BC": 2936,
          "ratio": "25/23",
          "result_BC": 2876
        },
        {
          "variant": "Long",
          "direction": "forward",
          "held_BC": 3576,
          "moving_BC": 2886,
          "ratio": "70/69",
          "result_BC": 2876
        },
        {
          "variant": "Short",
          "direction": "reverse",
          "held_BC": 2216,
          "moving_BC": 2906,
          "ratio": "70/69",
          "result_BC": 2916
        },
        {
          "variant": "Long",
          "direction": "reverse",
          "held_BC": 2166,
          "moving_BC": 2856,
          "ratio": "25/23",
          "result_BC": 2916
        }
      ],
      "gain_sum": 70,
      "gain_difference": 50,
      "convergence_condition": "offset=(E-P)*690=50; ratio assignment is directional and variant-specific"
    },
    "ordered_anchor_lattice_BC": [
      2946,
      2936,
      2916,
      2906,
      2886,
      2876,
      2856
    ],
    "ordered_gaps": [
      10,
      20,
      10,
      20,
      10,
      20
    ],
    "four_node_family_BC": [
      2946,
      2916,
      2906,
      2876
    ],
    "four_node_gaps": [
      30,
      10,
      30
    ],
    "three_centered_pairs_BC": [
      [
        2946,
        2876
      ],
      [
        2936,
        2886
      ],
      [
        2916,
        2906
      ]
    ],
    "Enoch_center_whole_year_BC": 2911,
    "uniform_biblical_translation": {
      "source_locator": "8.6, line1443",
      "subtract_from_BC_labels": 1470,
      "output_BC": [
        1476,
        1446,
        1436,
        1406
      ],
      "output_roles": [
        "Joshua birth",
        "Exodus",
        "generated comparison rail",
        "Conquest"
      ]
    },
    "pillar_comparison_summary_only": {
      "source_locator": "8.7, line1489",
      "BC_starts": [
        2936,
        2886,
        2911
      ],
      "AD_ends": [
        29465,
        29515,
        29490
      ],
      "civil_span": 32400,
      "distinct_scales": [
        "90*72=6480",
        "90*360=32400"
      ],
      "role": "Projective Boundaries; secondary/appendix scope retained"
    },
    "calendar_body_summary_only": {
      "source_locator": "8.8, line1526",
      "ordinary_partitions": [
        [
          3606,
          2936,
          2886
        ],
        [
          3576,
          2906,
          2856
        ],
        [
          3608,
          2936,
          2886
        ]
      ],
      "component_lengths": [
        [
          670,
          50
        ],
        [
          670,
          50
        ],
        [
          672,
          50
        ]
      ],
      "totals": [
        720,
        720,
        722
      ],
      "macro_examples_source_only": [
        [
          262116,
          20916,
          2916
        ],
        [
          262086,
          20166,
          2166
        ]
      ],
      "warning": "Existing360:1 comparisons quoted only; no new source-chain or scale propagation."
    },
    "source_vs_Jubilee_companion": {
      "source_locator": "8.9, line1577",
      "source_duration": 24510,
      "generated_duration": 24500,
      "declared_companion_pairs_BC": [
        [
          27366,
          2866
        ],
        [
          27356,
          2856
        ]
      ],
      "source_pair_BC": [
        27366,
        2856
      ],
      "role": "Generated adjacent duration, not correction of transmitted total"
    }
  },
  "section9": {
    "locator": {
      "section": "9.1–9.9",
      "start_line": 1631
    },
    "common_parent_rows": [
      {
        "moving_BC": 4114,
        "moving_role": "standard regular-MT Creation endpoint",
        "held_BC": 1446,
        "held_role": "Exodus",
        "ratio": "25/23",
        "input_span": 2668,
        "output_span": 2900,
        "gain": 232,
        "output_BC": 4346,
        "return_ratio": "23/25"
      },
      {
        "moving_BC": 4304,
        "moving_role": "regular-MT +60 Terah +130 Cainan Creation endpoint",
        "held_BC": 1406,
        "held_role": "Conquest",
        "ratio": "70/69",
        "input_span": 2898,
        "output_span": 2940,
        "gain": 42,
        "output_BC": 4346,
        "return_ratio": "69/70"
      }
    ],
    "compensation": {
      "source_variant_gap": 190,
      "source_variant_parts": [
        60,
        130
      ],
      "gain_gap": 190,
      "anchor_gap": 40,
      "completed_span_gap": 40
    },
    "carrier_ladder": {
      "BC": [
        4346,
        2876,
        1406
      ],
      "AD_terminal": 65,
      "arms": [
        1470,
        1470,
        1470
      ],
      "full_span": 4410,
      "first_arm_BC": [
        4346,
        2946,
        2876
      ],
      "first_arm_spans": [
        1400,
        70
      ]
    },
    "five_year_companion": {
      "BC": [
        4341,
        2871,
        1401
      ],
      "AD_terminal": 70,
      "civil_translation": 5,
      "arms": [
        1470,
        1470,
        1470
      ]
    },
    "Enoch_to_Christ": {
      "source_BC": [
        2946,
        2911,
        2876,
        2871
      ],
      "target": [
        "6BC",
        "AD30",
        "AD65",
        "AD70"
      ],
      "civil_translation": 2940,
      "source_quartet_BC": [
        2946,
        2916,
        2906,
        2876
      ],
      "target_quartet": [
        "6BC",
        "AD25",
        "AD35",
        "AD65"
      ],
      "source_roles": "mixed Enoch schematic/generated/source",
      "target_roles": "Nativity/comparison/comparison/carrier close"
    },
    "centers_and_corridors": [
      {
        "center_BC": 2871,
        "role": "Long source-pair center",
        "corridor_BC": [
          4341,
          2871,
          1401
        ]
      },
      {
        "center_BC": 2921,
        "role": "Short source-pair center",
        "corridor_BC": [
          4391,
          2921,
          1451
        ]
      },
      {
        "center_BC": 2916,
        "role": "pure720 landing, not source-pair center",
        "corridor_BC": [
          4386,
          2916,
          1446
        ]
      }
    ],
    "upper_MT_secondary_partition": {
      "source_locator": "9.8, line1895",
      "raw_path_BC": [
        4304,
        2648,
        1406
      ],
      "raw_spans": [
        1656,
        1242
      ],
      "ratio": "70/69",
      "transformed_path_BC": [
        4346,
        2666,
        1406
      ],
      "transformed_spans": [
        1680,
        1260
      ],
      "collision_guard": "2648 and2666 here are generated seams, not BJ Ham or other genealogical nodes with those labels"
    },
    "LXX_corroboration_summary": {
      "source_locator": "9.9, line1937",
      "outer_endpoint_BC": [
        5584,
        5554,
        4144,
        4114
      ],
      "outer_Year6_BC": [
        5586,
        5556,
        4146,
        4116
      ],
      "outer_gaps": [
        30,
        1410,
        30
      ],
      "matched_pairs_BC": [
        [
          5554,
          4174
        ],
        [
          5494,
          4114
        ],
        [
          5556,
          4176
        ],
        [
          5496,
          4116
        ]
      ],
      "matched_gap": 1380,
      "Year6_midpoint_BC": [
        5556,
        4836,
        4116
      ],
      "midpoint_arms": [
        720,
        720
      ],
      "source_LXX_endpoint": 5494,
      "Exodus": 1446,
      "E_generated_head": 5846,
      "Short_physical_anchor": 2906,
      "generated_to_Short_span": 2940,
      "conjectural_leveling_only": {
        "generated": 5846,
        "proposed_minus30": 5816,
        "middle": 4346,
        "lower": 2876,
        "arms": [
          1470,
          1470
        ],
        "status": "Appendix-led positional hypothesis;5846 apparent rail assignment not established;5816 not transmitted LXX date"
      }
    }
  },
  "section10": {
    "locator": {
      "section": "10.1–10.5",
      "start_line": 2062
    },
    "fixed_hinge_BC": 4346,
    "cumulative_head_BC": 14006,
    "fixed_Pillar_AD": 29465,
    "arms": [
      {
        "side": "cumulative",
        "span": 9660,
        "coefficient69_unit": 140
      },
      {
        "side": "Pillar",
        "span": 33810,
        "coefficient69_unit": 490
      }
    ],
    "full_civil_span": 43470,
    "unit4830_partition": [
      2,
      7
    ],
    "fixed_Pillar_rows": [
      {
        "ratio": "70/69",
        "input_span": 33810,
        "output_span": 34300,
        "gain": 490,
        "generated_BC": 4836,
        "co_registration": "cumulative Flood/Enoch pivot"
      },
      {
        "ratio": "25/23",
        "input_span": 33810,
        "output_span": 36750,
        "gain": 2940,
        "generated_BC": 7286,
        "status": "generated provisional/appendix-led head"
      }
    ],
    "cumulative_matrix": [
      {
        "state": "native",
        "ratio": "1",
        "upper_span": 9660,
        "fixed_lower_span": 2940,
        "total_to1406": 12600,
        "BC_head": 14006,
        "calendar_body": "35*360"
      },
      {
        "state": "Prophetic",
        "ratio": "70/69",
        "upper_span": 9800,
        "fixed_lower_span": 2940,
        "total_to1406": 12740,
        "BC_head": 14146,
        "calendar_body": "35*364"
      },
      {
        "state": "Priestly",
        "ratio": "25/23",
        "upper_span": 10500,
        "fixed_lower_span": 2940,
        "total_to1406": 13440,
        "BC_head": 14846,
        "calendar_body": "40*336"
      }
    ],
    "cumulative_Cainan": {
      "base_head_BC": 14006,
      "restored_head_BC": 14466,
      "hinge_BC": 4346,
      "base_radius": 9660,
      "restored_radius": 10120,
      "ratio": "25/23",
      "expanded_radii": [
        10500,
        11000
      ],
      "generated_heads_BC": [
        14846,
        15346
      ],
      "insertion_before_after": [
        460,
        500
      ]
    },
    "noncollapse": "14146→1406 and inherited14036→1296 have the same12740 scalar but different endpoint executions; generated outer heads do not become Primary anchors."
  },
  "section11": {
    "locator": {
      "section": "11.1–11.6",
      "start_line": 2235
    },
    "coarse_path": [
      "4836BC",
      "4346BC",
      "6BC",
      "AD30",
      "AD65"
    ],
    "coarse_spans": [
      490,
      4340,
      35,
      35
    ],
    "refined_path": [
      "4836BC",
      "4346BC",
      "2946BC",
      "2876BC",
      "1406BC",
      "6BC",
      "AD30",
      "AD65"
    ],
    "refined_spans": [
      490,
      1400,
      70,
      1470,
      1400,
      35,
      35
    ],
    "generation_unit": 70,
    "coarse_generation_counts": [
      7,
      62,
      "1/2",
      "1/2"
    ],
    "refined_generation_counts": [
      7,
      20,
      1,
      21,
      20,
      "1/2",
      "1/2"
    ],
    "total": 4900,
    "Danielic_tenth_scale": [
      49,
      140,
      7,
      147,
      140,
      "7/2",
      "7/2"
    ],
    "role": "Source pattern-template segmentation, not literal434-year lock or claim Daniel explicitly supplies these coordinates",
    "Christ_role_hierarchy": {
      "6BC": "birth hinge",
      "AD25/AD35": "comparison nodes",
      "AD30": "exact schematic midpoint / possible Passion state",
      "AD33n": "preferred Passion state by parentFile13",
      "AD65": "70-year carrier terminal",
      "AD70": "five-year Temple companion"
    }
  },
  "section13": {
    "locator": {
      "section": "13.1–13.10",
      "start_line": 2420
    },
    "scope_recommendation": "Potential fixed-input finite-family read-only reconstruction. Preserve twelve listed nodes exactly.36-node macro extension and remote chain work are summary-only and not activated.",
    "phase_chart": {
      "epoch": "January1 AD1, x=0",
      "BC_n": "-B+1/4",
      "BC_t": "-B+3/4",
      "AD_n": "A-1+1/4",
      "AD_t": "A-1+3/4",
      "paired_Mirror": "M(x)=-x; Yt/(Y-1)n BC -> AD(Y-1)t/Yn",
      "meaning": "schematic phase model, not reconstructed ancient lunar-month dates"
    },
    "source_pairs_BC": [
      [
        {
          "year": 2939,
          "phase": "t"
        },
        {
          "year": 2938,
          "phase": "n"
        }
      ],
      [
        {
          "year": 2937,
          "phase": "t"
        },
        {
          "year": 2936,
          "phase": "n"
        }
      ],
      [
        {
          "year": 2935,
          "phase": "t"
        },
        {
          "year": 2934,
          "phase": "n"
        }
      ],
      [
        {
          "year": 2909,
          "phase": "t"
        },
        {
          "year": 2908,
          "phase": "n"
        }
      ],
      [
        {
          "year": 2907,
          "phase": "t"
        },
        {
          "year": 2906,
          "phase": "n"
        }
      ],
      [
        {
          "year": 2905,
          "phase": "t"
        },
        {
          "year": 2904,
          "phase": "n"
        }
      ]
    ],
    "source_declared_generator": "X={-2921+15r+2g+p/4};r,p in{-1,1},g in{-1,0,1}; source enumeration only, not permission for new Gear transport",
    "node_count": 12,
    "center_x": -2921,
    "center_instant": "January1 2921BC",
    "bracketing_pair_BC": "2922t/2921n",
    "extrema_x": [
      "-11753/4",
      "-11615/4"
    ],
    "width": "69/2",
    "uniform_translation": 5842,
    "period": "2921/2",
    "mirror": "M(x)=-x",
    "affine_involution": "R(x)=-5842-x",
    "identities": [
      "T5842(X)=M(X)",
      "R(X)=X",
      "R(R(x))=x"
    ],
    "pair_permutation": [
      [
        0,
        5
      ],
      [
        1,
        4
      ],
      [
        2,
        3
      ]
    ],
    "translated_pairs_AD": [
      [
        2904,
        2905
      ],
      [
        2906,
        2907
      ],
      [
        2908,
        2909
      ],
      [
        2934,
        2935
      ],
      [
        2936,
        2937
      ],
      [
        2938,
        2939
      ]
    ],
    "translated_phase_order": [
      "t",
      "n"
    ],
    "four_totals_overlap_table": [
      {
        "period": "1460",
        "total": 5840,
        "inside": 8,
        "outside": 4,
        "inverse_mirror_displacement": 2
      },
      {
        "period": "1460.5",
        "total": 5842,
        "inside": 12,
        "outside": 0,
        "inverse_mirror_displacement": 0
      },
      {
        "period": "1461",
        "total": 5844,
        "inside": 8,
        "outside": 4,
        "inverse_mirror_displacement": -2
      },
      {
        "period": "1461.5",
        "total": 5846,
        "inside": 4,
        "outside": 8,
        "inverse_mirror_displacement": -4
      }
    ],
    "cross_Mirror_matrix": {
      "upper_Nisan_BC": [
        2934,
        2936,
        2938
      ],
      "lower_Nisan_BC": [
        2904,
        2906,
        2908
      ],
      "entries": [
        [
          5838,
          5840,
          5842
        ],
        [
          5840,
          5842,
          5844
        ],
        [
          5842,
          5844,
          5846
        ]
      ],
      "formula": "U+D for corresponding-phase paired Mirror spans"
    },
    "conditional_uniqueness": "For fixed symmetric finite template E and fixed5842 closure: center c=-2921. Period does not determine template shape.",
    "nested_macro_source_summary_only": {
      "generator": "-2921+720m+15r+2g+p/4",
      "source_node_count": 36,
      "m_values": [
        -1,
        0,
        1
      ],
      "identity": "T5842(X+k)=M(X-k)",
      "guard": "Opposed shifts only; same-direction shifts do not cancel; no remoteCreation/Flood or360:1 propagation authorized"
    },
    "anchored_selection": {
      "Exodus_BC": 1446,
      "Joshua_birth_BC": 1476,
      "ordinary_Sothic_cycle": 1460,
      "center_BC_formula": "1460+(1476+1446)/2=2921",
      "source_flanks": [
        2936,
        2906
      ]
    },
    "small_corridor_packet": {
      "e": 1446,
      "Q": "4*365=1460",
      "F": "4*360=1440",
      "rail": 30,
      "formula": "(e+Q+30,e+Q,e+F,e+F-30)",
      "output_BC": [
        2936,
        2906,
        2886,
        2856
      ],
      "gaps": [
        30,
        20,
        30
      ],
      "Moses_birth_BC": 1526,
      "Joshua_birth_BC": 1476,
      "two1380_routes": [
        [
          2906,
          1526
        ],
        [
          2856,
          1476
        ]
      ],
      "dependent50": "80-30=30+(Q-F)=50"
    },
    "Joshua_to_Exodus_Mirror": {
      "source_pair_BC": [
        "1477t",
        "1476n"
      ],
      "fixed_target_AD": [
        "1446t",
        "1447n"
      ],
      "matrix": [
        [
          2922,
          "5845/2"
        ],
        [
          "5843/2",
          2922
        ]
      ],
      "outer_midpoint_x": -15,
      "guard": "No automatic epoch-straddle or internal-cycle landing"
    },
    "Long_source_summary": {
      "own_center_x": -2871,
      "own_self_Mirror_translation": 5742,
      "two_period_examples": [
        [
          "2888nBC",
          "AD33n",
          2920
        ],
        [
          "2886nBC",
          "AD35n",
          2920
        ],
        [
          "2856nBC",
          "AD65n",
          2920
        ]
      ],
      "source_six": [
        "2859tBC",
        "2858nBC",
        "2857tBC",
        "2856nBC",
        "2855tBC",
        "2854nBC"
      ],
      "fixed_target": [
        "AD1526t",
        "AD1527n"
      ],
      "matrix": [
        [
          4384,
          "8769/2"
        ],
        [
          "8767/2",
          4384
        ],
        [
          4382,
          "8765/2"
        ],
        [
          "8763/2",
          4382
        ],
        [
          4380,
          "8761/2"
        ],
        [
          "8759/2",
          4380
        ]
      ],
      "missing_three_cycle_total": 4383,
      "guard": "No added adjacent date, phase, or Mirror to repair missing3*1461; Long does not share Short5842 whole-field theorem"
    }
  },
  "guard_locators": [
    {
      "name": "RENEWED FROZEN-PARENT / NON-REPLACEMENT",
      "section": "0.8",
      "line": 339,
      "excerpt": "The Supplement may cite and recompute admitted data but may not alter a parent equation, source state, anchor, node class, operator, guard, claim ceiling, or dependency boundary."
    },
    {
      "name": "FILE_21 SHORT/LONG / ROUNDED-COMPARISON SCOPE",
      "section": "0.8",
      "line": 351,
      "excerpt": "The Supplement may coordinate these states but may not create a new SKL source variant, make Rounded chronology literal SKL, replace File_34 derivation, or promote generated `2946/2916` companions to transmitted anchors."
    },
    {
      "name": "90 / PILLAR / REMOTE-SKL SCOPE",
      "section": "0.8",
      "line": 411,
      "summary": "Different units; remoteSKL/Pillar/simpleMirror secondary or appendix-only; cannot carry principal proof."
    },
    {
      "name": "SOTHIC MACRO AND REMOTE SCOPE",
      "section": "13.10",
      "line": 2719,
      "summary": "Existing36-node finite field only; no full source-chain, scaling,phase propagation from it."
    },
    {
      "name": "SOTHIC LONG MOSES FIXED FIELD",
      "section": "13.10",
      "line": 2722,
      "summary": "Missing4383 stays missing; no hidden adjacent state or phase."
    }
  ],
  "node_classes": {
    "2936/2906": "Short source anchors",
    "2886/2856": "Long source anchors;2886 also generatedlanding",
    "3626/2216": "generatedShortladder endpoints;2216co-registersFile68schematic",
    "3576": "dependency-controlledcomparisonstate",
    "2946": "Enochschematicopening +generatedfieldcompletion",
    "2916": "generatedpure720/reverseKeyconvergence",
    "2876": "Enochclose +generatedforwardKeyconvergence;notcenter",
    "2911": "Enochgenerationcenter",
    "2871": "Longsourcepaircenter",
    "2921": "Shortsourcepaircenter;Januaryinstant insection13distinct frombracketingpair",
    "4346": "existingFile22generatedhead/File69head;commonoperator-parent,nottransmittedMTdate",
    "1436": "generatedcomparisonrail",
    "7286/14146/14846/15346": "generatedouterheads,notPrimaryanchors",
    "AD29465/29515": "ProjectivePillars,notordinaryhistoricaldates"
  }
}