[
  {
    "step": 482,
    "title": "Cross-tradition transfer: freeze the evidence",
    "question": "Can the complete C481 rounded two-path construction be instantiated from already supplied LXX and SP rows?",
    "inputs": {
      "MT": {
        "rounded_R": 4106,
        "rounded_C": 14006,
        "rounded_F_R": 2456,
        "rounded_F_C": 4836
      },
      "LXX": {
        "rounded_R": 5486,
        "actual_R": 5494,
        "actual_C_completion": 14894
      },
      "SP_equalized": {
        "rounded_R_block": [
          4416,
          4411
        ],
        "actual_R": 4414,
        "actual_C_completion": 13396
      }
    },
    "sources": [
      "File51a §§16.2,17.3–17.4",
      "File18 §§6C–6D",
      "C481 checkpoint"
    ],
    "opened_utc": "2026-09-27T22:37:27.114819+00:00",
    "predecessor_sha256": "C481:4d7a97cf35348c8ea23a23079b0682f739bb5b4b0cc734e24e7b9bc6e0b19455",
    "results": {
      "MT": "complete supplied rounded path pair",
      "LXX": "rounded regular head supplied; cumulative rounded path not tabulated",
      "SP": "rounded regular block supplied; cumulative rounded path not tabulated"
    },
    "finding": "A direct two-path transfer is not established by source lookup. Actual completion pairs can still test the frozen weighted constraint without constructing missing rounded rows.",
    "reassessment": "Test the same weighted 12026 anchor on the supplied actual LXX and SP completion pairs.",
    "checks": {
      "primary_52c_preserved": true,
      "no_missing_rows_imputed": true
    },
    "closed_utc": "2026-09-27T22:37:27.114992+00:00",
    "sha256": "1895d9835b6b584fec00642b47f194b86f46c2081240f97586f415f571f4857b"
  },
  {
    "step": 483,
    "title": "Weighted-anchor transfer",
    "question": "Do the supplied actual completion pairs preserve the C481 weighted anchor?",
    "inputs": {
      "MT": [
        14004,
        4114
      ],
      "LXX_native_ON": [
        14894,
        5494
      ],
      "SP_equalized_OFF": [
        13396,
        4414
      ]
    },
    "sources": [
      "File18 §§6B–6D",
      "File22 §5.1",
      "File52c §3.14"
    ],
    "opened_utc": "2026-09-27T22:37:52.573459+00:00",
    "predecessor_sha256": "1895d9835b6b584fec00642b47f194b86f46c2081240f97586f415f571f4857b",
    "results": {
      "MT": {
        "weighted_point": 12026,
        "difference_from_12026": 0,
        "residual_4C_plus_R_minus_5A": 0
      },
      "LXX_native_ON": {
        "weighted_point": 13014,
        "difference_from_12026": 988,
        "residual_4C_plus_R_minus_5A": 4940
      },
      "SP_equalized_OFF": {
        "weighted_point": "57998/5",
        "difference_from_12026": "-2132/5",
        "residual_4C_plus_R_minus_5A": -2132
      }
    },
    "finding": "The 1:4 weighted operation transfers, but its value does not: LXX gives 13014 and SP gives 11599.6. The MT anchor is a particular input-dependent placement, not a universal cross-tradition constant.",
    "reassessment": "Explain the failures through the actual regular/cumulative source differences rather than fit new anchors.",
    "checks": {
      "MT": true,
      "LXX": true,
      "SP": true
    },
    "closed_utc": "2026-09-27T22:37:52.573685+00:00",
    "sha256": "2d8648e433b1c5b5e236b77fae7662d91e5431ed83423f0be5710a5700868c5d"
  },
  {
    "step": 484,
    "title": "Why the anchor shifts",
    "question": "Can source differences explain the weighted-anchor failures without adjustable parameters?",
    "inputs": {
      "LXX": {
        "dC": 890,
        "dR": 1380,
        "regular_parts": [
          600,
          780
        ],
        "cumulative_parts": [
          430,
          460
        ]
      },
      "SP": {
        "dC": -608,
        "dR": 300,
        "regular_parts": [
          -350,
          650
        ],
        "cumulative_parts": [
          -115,
          -249,
          -124,
          -60,
          -60
        ]
      }
    },
    "sources": [
      "File18 §§2.1.3,3.1,4.1,6B–6D",
      "Strategy §§3.1–3.2"
    ],
    "opened_utc": "2026-09-27T22:38:12.777807+00:00",
    "predecessor_sha256": "2d8648e433b1c5b5e236b77fae7662d91e5431ed83423f0be5710a5700868c5d",
    "results": {
      "LXX": {
        "regular_total": 1380,
        "cumulative_total": 890,
        "anchor_shift": 988
      },
      "SP": {
        "regular_total": 300,
        "cumulative_total": -608,
        "anchor_shift": "-2132/5"
      }
    },
    "finding": "Regular and cumulative differences have different causes. LXX centenary repartitions move regular dates while preserving lifespans; SP shortens selected lives. The weighted failures are generated by these source changes.",
    "reassessment": "Reconstruct the ordered local begetting and lifespan differences to see the shared mechanism directly.",
    "checks": {
      "LXX": true,
      "SP": true
    },
    "closed_utc": "2026-09-27T22:38:12.778112+00:00",
    "sha256": "eec39f6501d594bed3b861d4106437d5e83aa91adeb73e53b653e045999d7f75"
  },
  {
    "step": 485,
    "title": "Local repartitions explain LXX mode divergence",
    "question": "Which Adam–Noah row operations generate regular and cumulative differences?",
    "inputs": {
      "names": [
        "Adam",
        "Seth",
        "Enosh",
        "Kenan",
        "Mahalalel",
        "Jared",
        "Enoch",
        "Methuselah",
        "Lamech"
      ],
      "MT_b": [
        130,
        105,
        90,
        70,
        65,
        162,
        65,
        187,
        182
      ],
      "LXX_b": [
        230,
        205,
        190,
        170,
        165,
        162,
        165,
        187,
        182
      ],
      "MT_L": [
        930,
        912,
        905,
        910,
        895,
        962,
        365,
        969,
        777
      ],
      "LXX_L": [
        930,
        912,
        905,
        910,
        895,
        962,
        365,
        969,
        753
      ]
    },
    "sources": [
      "File18 §2.1.3 rows1228–1237, §4.1 rows1697–1706"
    ],
    "opened_utc": "2026-09-27T22:38:31.325826+00:00",
    "predecessor_sha256": "eec39f6501d594bed3b861d4106437d5e83aa91adeb73e53b653e045999d7f75",
    "results": {
      "rows": [
        {
          "row": "Adam",
          "delta_b": 100,
          "delta_remainder": -100,
          "delta_L": 0,
          "running_regular_delta": 100
        },
        {
          "row": "Seth",
          "delta_b": 100,
          "delta_remainder": -100,
          "delta_L": 0,
          "running_regular_delta": 200
        },
        {
          "row": "Enosh",
          "delta_b": 100,
          "delta_remainder": -100,
          "delta_L": 0,
          "running_regular_delta": 300
        },
        {
          "row": "Kenan",
          "delta_b": 100,
          "delta_remainder": -100,
          "delta_L": 0,
          "running_regular_delta": 400
        },
        {
          "row": "Mahalalel",
          "delta_b": 100,
          "delta_remainder": -100,
          "delta_L": 0,
          "running_regular_delta": 500
        },
        {
          "row": "Jared",
          "delta_b": 0,
          "delta_remainder": 0,
          "delta_L": 0,
          "running_regular_delta": 500
        },
        {
          "row": "Enoch",
          "delta_b": 100,
          "delta_remainder": -100,
          "delta_L": 0,
          "running_regular_delta": 600
        },
        {
          "row": "Methuselah",
          "delta_b": 0,
          "delta_remainder": 0,
          "delta_L": 0,
          "running_regular_delta": 600
        },
        {
          "row": "Lamech",
          "delta_b": 0,
          "delta_remainder": -24,
          "delta_L": -24,
          "running_regular_delta": 600
        }
      ],
      "Creation_to_Noah_MT": 1056,
      "Creation_to_Noah_LXX": 1656,
      "lifespan_delta": -24
    },
    "finding": "Six +100 begetting moves each trade 100 from the remainder and conserve lifespan. Lamech is a separate −24 lifespan change with begetting182 fixed. One source row structure therefore produces two different chronological projections.",
    "reassessment": "Apply the same row accounting to SP, including its completed-year boundary.",
    "checks": {
      "six_repartitions": true,
      "regular600": true,
      "cumulative_minus24": true
    },
    "closed_utc": "2026-09-27T22:38:31.326136+00:00",
    "sha256": "934f0c51380606bedec92a8a87e13b5ef21fa6a726ba4fde385bb0948e79a0ae"
  },
  {
    "step": 486,
    "title": "SP local reconstruction",
    "question": "Does the same source-row accounting explain SP endpoint movement and its boundary exception?",
    "inputs": {
      "begetting_deltas": [
        -100,
        -120,
        -129
      ],
      "primary_completed_year": -1,
      "lifespan_deltas": [
        -115,
        -249,
        -124,
        -60,
        -60
      ],
      "downstream_regular_shift": 650
    },
    "sources": [
      "File18 §§2.1.3,3.1,3.2; lines1474–1488,1532–1534"
    ],
    "opened_utc": "2026-09-27T22:38:56.215706+00:00",
    "predecessor_sha256": "934f0c51380606bedec92a8a87e13b5ef21fa6a726ba4fde385bb0948e79a0ae",
    "results": {
      "Adam_Noah_MT": 1056,
      "Adam_Noah_SP_primary": 706,
      "delta_regular_internal": -350,
      "delta_regular_Creation": 300,
      "delta_cumulative": -608,
      "SP_Lamech": "53rd year ->52 completed units;653 lifespan is inclusive"
    },
    "finding": "SP uses the same two projections with different local data. Its −350 pre-Noah change plus +650 downstream placement gives +300 regular Creation, while five lifespan changes total−608 cumulatively. The inclusive Lamech convention must remain explicit.",
    "reassessment": "Express this mechanism as a small linear source-row rule, with boundary terms kept separate.",
    "checks": {
      "regular": true,
      "cumulative": true
    },
    "closed_utc": "2026-09-27T22:38:56.215891+00:00",
    "sha256": "96196b18b7ce0e7439090355632d626dfe6d82abae5ef9f28f24ecb2eb925993"
  },
  {
    "step": 487,
    "title": "A shared row grammar",
    "question": "What common rule generates divergent regular and cumulative changes?",
    "inputs": {
      "compatible_row": [
        "b",
        "r"
      ],
      "lifespan": "b+r",
      "regular_selector": [
        1,
        0
      ],
      "cumulative_selector": [
        1,
        1
      ]
    },
    "sources": [
      "Strategy §§3.2,5B",
      "C485–C486"
    ],
    "opened_utc": "2026-09-27T22:39:11.631579+00:00",
    "predecessor_sha256": "96196b18b7ce0e7439090355632d626dfe6d82abae5ef9f28f24ecb2eb925993",
    "results": {
      "row_moves": {
        "repartition_100": {
          "regular_effect": 100,
          "cumulative_effect": 0,
          "remainder_effect": -100
        },
        "LXX_Lamech": {
          "regular_effect": 0,
          "cumulative_effect": -24,
          "remainder_effect": -24
        },
        "insert_Cainan": {
          "regular_effect": 130,
          "cumulative_effect": 460,
          "remainder_effect": 330
        }
      },
      "regular_formula": "anchor_R + sum(selected begetting intervals) + declared boundary terms",
      "cumulative_formula": "anchor_C + sum(selected lifespans) + declared phase terms",
      "projection_matrix": [
        [
          1,
          0
        ],
        [
          1,
          1
        ]
      ],
      "determinant": 1
    },
    "finding": "A richer source row supports two distinct measurements. Repartition lies in the cumulative kernel; a lifespan-only change can leave the regular projection fixed. This explains family divergence without a universal map between their endpoints.",
    "reassessment": "Test the admitted Cainan insertion as a concrete cross-mode vector.",
    "checks": {
      "repartition_kernel": true,
      "insertion": true
    },
    "closed_utc": "2026-09-27T22:39:11.631755+00:00",
    "sha256": "cf03e97da2b1013fa5cbae893db9813e84e6a7d80e85f5acb0531ac9f1c5b81f"
  },
  {
    "step": 488,
    "title": "Cainan as a cross-mode vector",
    "question": "Which shared structures survive the admitted 130/460 insertion?",
    "inputs": {
      "delta_R": 130,
      "delta_C": 460,
      "MT_bridge": 9890
    },
    "sources": [
      "Strategy §§3.2,4.4",
      "File18 Cainan controls"
    ],
    "opened_utc": "2026-09-27T22:39:26.289098+00:00",
    "predecessor_sha256": "cf03e97da2b1013fa5cbae893db9813e84e6a7d80e85f5acb0531ac9f1c5b81f",
    "results": {
      "bridge_change": 330,
      "weighted_point_change": 394,
      "restored_bridge": 10220,
      "Sothic_factor": 7,
      "finite_state_rule": "OFF -> ON once where admitted; native LXX starts ON"
    },
    "finding": "One inserted row accounts for both130 and460, increases the cumulative–regular bridge by330, and sends9890 to10220=7×1460. It shifts the weighted point by394, so it is not a12026-preserving operation.",
    "reassessment": "Check whether the rounded regular reversal construction survives native LXX inputs.",
    "checks": {
      "bridge": true,
      "weighted_shift": true
    },
    "closed_utc": "2026-09-27T22:39:26.289320+00:00",
    "sha256": "81ce12908cdbb31a2fea6cbebbe635805da6fc1db08b73041dcb9737a0999cf3"
  },
  {
    "step": 489,
    "title": "LXX rounded path transfer",
    "question": "Does the admitted Noah refinement preserve the rounded reversal endpoint in native LXX?",
    "inputs": {
      "rounded_creation": 5486,
      "rounded_Adam_Noah": 1650,
      "Noah_Flood": 600,
      "Conquest": 1406
    },
    "sources": [
      "File51a §§2,17.3",
      "File18 §4.1"
    ],
    "opened_utc": "2026-09-27T22:39:48.590457+00:00",
    "predecessor_sha256": "81ce12908cdbb31a2fea6cbebbe635805da6fc1db08b73041dcb9737a0999cf3",
    "results": {
      "derived_rounded_Noah": 3836,
      "derived_rounded_Flood": 3236,
      "paths": {
        "primary": {
          "segments": [
            2250,
            1830
          ],
          "inverse_segments": [
            5220,
            3810
          ],
          "endpoint": 10436
        },
        "Noah_refinement": {
          "segments": [
            1650,
            600,
            1830
          ],
          "inverse_segments": [
            5610,
            600,
            3810
          ],
          "endpoint": 11426
        }
      }
    },
    "finding": "LXX endpoints10436 and11426 differ990. The same path evaluator transfers, but MT’s equality under Noah refinement does not. The cumulative LXX branch remains uninstantiated, not silently approximated.",
    "reassessment": "Test SP through its positively supplied block relations rather than an absent rounded path.",
    "checks": {
      "primary": true,
      "refinement": true,
      "difference": true
    },
    "closed_utc": "2026-09-27T22:39:48.590669+00:00",
    "sha256": "9fecbe41b9475fec06582eae9bd92e70ed09f6cd679dd7350c149cd24898f1b5"
  },
  {
    "step": 490,
    "title": "SP’s positive rounded contribution",
    "question": "What supplied SP relationship can enter the shared grammar unchanged?",
    "inputs": {
      "creation_block": [
        4416,
        4411
      ],
      "conquest_block": [
        1406,
        1401
      ],
      "nativity_block": [
        6,
        1
      ],
      "MT_creation_block": [
        4111,
        4106
      ]
    },
    "sources": [
      "File51a §17.4"
    ],
    "opened_utc": "2026-09-27T22:40:02.227524+00:00",
    "predecessor_sha256": "9fecbe41b9475fec06582eae9bd92e70ed09f6cd679dd7350c149cd24898f1b5",
    "results": {
      "conquest_widths": [
        3010,
        3010
      ],
      "nativity_widths": [
        4410,
        4410
      ],
      "SP_minus_MT": [
        305,
        305
      ],
      "Terah_plus60_comparison": [
        365,
        365
      ]
    },
    "finding": "SP supplies a block translation: both members preserve3010=7×430 to Conquest and4410=9×490 to Nativity. This is a different positive realization of the common span-and-state grammar, without replacing4416/4411 by4406.",
    "reassessment": "Complete the LXX lifespan reconstruction, then consolidate the cross-family result.",
    "checks": {
      "conquest": true,
      "nativity": true,
      "state_shift": true
    },
    "closed_utc": "2026-09-27T22:40:02.227840+00:00",
    "sha256": "27dc1bcb3a0ec7aedd0095603ad0b3c1ed826497488a575b040e8107c3e225ff"
  },
  {
    "step": 491,
    "title": "Close the cross-tradition source explanation",
    "question": "Can every unit of LXX’s cumulative890 difference be traced to supplied lifespan rows?",
    "inputs": {
      "Lamech": -24,
      "Arphaxad": 27,
      "Cainan": 460,
      "Shelah": 27,
      "Eber": 40,
      "Peleg": 100,
      "Reu": 100,
      "Serug": 100,
      "Nahor": 60
    },
    "sources": [
      "File18 §§2.2,4.1–4.2,6D; corrected339/339/330 triplet"
    ],
    "opened_utc": "2026-09-27T22:40:15.843136+00:00",
    "predecessor_sha256": "27dc1bcb3a0ec7aedd0095603ad0b3c1ed826497488a575b040e8107c3e225ff",
    "results": {
      "row_deltas": {
        "Lamech": -24,
        "Arphaxad": 27,
        "Cainan": 460,
        "Shelah": 27,
        "Eber": 40,
        "Peleg": 100,
        "Reu": 100,
        "Serug": 100,
        "Nahor": 60
      },
      "postFlood_without_Cainan": 454,
      "all_deltas": 890,
      "endpoint_check": 890
    },
    "finding": "The total is454+460−24=890. Alongside SP’s−608, this completes a source-row explanation of why the regular and cumulative families move differently. A common projection grammar is supported; a common12026 endpoint is not.",
    "reassessment": "Return to the MT rounded/actual interface and derive its residual conservation from rows and endpoint selections.",
    "checks": {
      "total": true,
      "postFlood": true,
      "regular_independent": true
    },
    "closed_utc": "2026-09-27T22:40:15.843363+00:00",
    "sha256": "09851060f453b478462087352850941d9c1e72097fcda695304666ec74bf6567"
  }
]