{
  "step": "C333",
  "status": "synthesis_complete",
  "completed_predecessor_steps": [
    {
      "step": "C324",
      "title": "Source audit of the460 context and500 completion",
      "main_result": "Explicitlocal460→500rules exist, but the specificregularSP→MT/E/Noah500dependency is notestablished in the boundedfour-source audit. A commonE dilation cannot equal the source-preserving wholebiographytranslation.",
      "checks": 22,
      "auth_checks": 17,
      "certificate_sha256": "ea4ff1d0c5bc0f7582ca8430eef0eadbf6f03bcd56cc6f331742fe2916c0ced3"
    },
    {
      "step": "C325",
      "title": "Existing source endpoints for460+40=500",
      "main_result": "Sixsource-admitted460+40=500triples andtwelveexactcomponents occur inNoahbirth→Shembirth andFloodstart→Shemdeath families. All75annual/600phasecombinations were tested. Equalphysicalphases retain distinct inheritedcumulativeancestries.",
      "checks": 70,
      "auth_checks": 16,
      "certificate_sha256": "c5d7e66e2782dd82b092af1e761bf4e74d940fac5521fa4fde882b859605b79e"
    },
    {
      "step": "C326",
      "title": "Four-endpoint overlap versus bilateralcompletion",
      "main_result": "Sixregularquadrupleshave460|40|460, overlap40, outer960. File09has40|460|40, overlap460, outer540. Twelveof96phasequadruplespreserveallrelations. Thethreepointsubpattern doesnotidentifythewholeconfigurations.",
      "checks": 40,
      "auth_checks": 15,
      "certificate_sha256": "4388e7226a60d28955d54b3a8ce0b80eb0d8ef6e928c5ba0a0615445e7423a7b"
    },
    {
      "step": "C327",
      "title": "Complete source-biography residual census",
      "main_result": "All 75 source-role pairs yield18 positive residuals:40,140,490,640 from full spans500,600,950,1100. The source-qualified Noah950=460+490 is a consequence of the admitted context translation; no new E path is established.",
      "checks": 678,
      "auth_checks": 16,
      "certificate_sha256": "2e91d0d5ce9e1a459854e128f06e9c7c0ed360ba8a222dbaf0e74a1cd9c76534"
    },
    {
      "step": "C328",
      "title": "Existing MT context sensitivity of residual partitions",
      "main_result": "Four existing MT contexts give same-role shifts650,590,520,460 and Noah950 residuals300,360,430,490. The selected490 is exact but context-dependent. C327 is recovered as theON/60slice.",
      "checks": 209,
      "auth_checks": 15,
      "certificate_sha256": "7c8eddced3cd3f5ca29aaa79e78de493b1b719c144b53cdd371583fbc573bfc6"
    },
    {
      "step": "C329",
      "title": "Named 500 and502 binding control",
      "main_result": "The explicit502/98 binding changes residual40→42 and640→642, while Noah950/490 and both600/140 relations survive. The two equal fields become502, overlap42, outer962. Uniform460 remains source-qualified.",
      "checks": 30,
      "auth_checks": 16,
      "certificate_sha256": "5a767506b2b144e82e38a7575d8e1fb2c37e0935f0197cfba1b0547b69c131f4"
    },
    {
      "step": "C330",
      "title": "Constraint rank and600 transport",
      "main_result": "Thirteen biography/context equations on ten vertices have rank9 and four cycle dependencies. All25 residual edges add rank0. The birth andFlood/death fields are componentwise600 apart in both modes through distinct Noah-age andShem-life source relations.",
      "checks": 19,
      "auth_checks": 14,
      "certificate_sha256": "459f83e38c20ad06517944f7b6bac336d0e192cb66080460d34698a8d48fc323"
    },
    {
      "step": "C331",
      "title": "Noah death within the four admitted2K paths",
      "main_result": "AllfourcompleteC287SPpaths support1058=950+108. Primary paths are460+490+108; companion paths withactualMTNoah are459+491+108. AbsentMTcompanion3245/3247 isnotcreated.",
      "checks": 34,
      "auth_checks": 16,
      "certificate_sha256": "f4fa79247c9cbf3017c5e7fd5f4e9bfaf53b6ec046e4b7a12666f1d537acf206"
    },
    {
      "step": "C332",
      "title": "Death-partition test of the coupled two-year selector",
      "main_result": "950+108 is equivalent to the right2K edge and selects b2;490 selects primaryrail. Together they retain02and22 at i3/5. Adding two17K selects22conditionally. No independent source prescription is established.",
      "checks": 163,
      "auth_checks": 17,
      "certificate_sha256": "ccca6ccf683f753da697497030d767da00a4ee9641f1591bbe246f5f9c8a979b"
    }
  ],
  "inherited_main_checks": 1265,
  "inherited_auth_checks": 142,
  "source_operation_verdict": "No explicit three-way endpoint/dependency rule linking the particular regular SP→MTcontext map,25/23,andNoah-bound500was located in the reviewed passages. This is a qualitative bounded audit, not repository-wide absence.",
  "residual_families": {
    "40": {
      "source_duration": 500,
      "annual_instances": 6,
      "role_pairs": [
        [
          "Noah birth",
          "Shem birth"
        ],
        [
          "Flood start",
          "Shem death"
        ]
      ]
    },
    "140": {
      "source_duration": 600,
      "annual_instances": 6,
      "role_pairs": [
        [
          "Noah birth",
          "Flood start"
        ],
        [
          "Shem birth",
          "Shem death"
        ]
      ]
    },
    "490": {
      "source_duration": 950,
      "annual_instances": 3,
      "role_pairs": [
        [
          "Noah birth",
          "Noah death"
        ]
      ]
    },
    "640": {
      "source_duration": 1100,
      "annual_instances": 3,
      "role_pairs": [
        [
          "Noah birth",
          "Shem death"
        ]
      ]
    }
  },
  "context_sensitivity": [
    {
      "context": "00",
      "Cainan": 0,
      "Terah60": 0,
      "delta": 650,
      "annual_positive": 6,
      "annual_zero": 0,
      "annual_negative": 69,
      "positive_residual_values": [
        300,
        450
      ],
      "Noah_lifespan_residual": 300
    },
    {
      "context": "01",
      "Cainan": 0,
      "Terah60": 1,
      "delta": 590,
      "annual_positive": 12,
      "annual_zero": 0,
      "annual_negative": 63,
      "positive_residual_values": [
        10,
        360,
        510
      ],
      "Noah_lifespan_residual": 360
    },
    {
      "context": "10",
      "Cainan": 1,
      "Terah60": 0,
      "delta": 520,
      "annual_positive": 12,
      "annual_zero": 0,
      "annual_negative": 63,
      "positive_residual_values": [
        80,
        430,
        580
      ],
      "Noah_lifespan_residual": 430
    },
    {
      "context": "11",
      "Cainan": 1,
      "Terah60": 1,
      "delta": 460,
      "annual_positive": 18,
      "annual_zero": 0,
      "annual_negative": 57,
      "positive_residual_values": [
        40,
        140,
        490,
        640
      ],
      "Noah_lifespan_residual": 490
    }
  ],
  "Noah_2K_paths": [
    {
      "i": 2,
      "SP_gear": 1,
      "rail": "companion",
      "records": {
        "N": {
          "tradition": "SP",
          "gear": 1,
          "role": "Noah birth",
          "rail": "companion",
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 3705
        },
        "M": {
          "tradition": "MT",
          "gear": 1,
          "role": "Noah birth",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 1,
          "center": 3246
        },
        "D": {
          "tradition": "SP",
          "gear": 1,
          "role": "Noah death",
          "rail": "companion",
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 2755
        },
        "R": {
          "tradition": "MT",
          "gear": 2,
          "role": "Flood close",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 1,
          "center": 2647,
          "base_native_Cainan": 0,
          "base_center": 2457
        }
      },
      "coordinates": [
        3705,
        3246,
        2755,
        2647
      ],
      "adjacent_legs": [
        459,
        491,
        108
      ],
      "Noah_life": 950,
      "death_to_MT_Flood": 108,
      "MT_Noah_to_MT_Flood": 599,
      "total_2K": 1058,
      "N_minus460_required": 3245,
      "N_minus460_MT_Noah_matches": [],
      "C287_S": -6346,
      "C287_F": -5288,
      "coincident_LXX_Noah_labels": []
    },
    {
      "i": 3,
      "SP_gear": 1,
      "rail": "primary",
      "records": {
        "N": {
          "tradition": "SP",
          "gear": 1,
          "role": "Noah birth",
          "rail": "primary",
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 3706
        },
        "M": {
          "tradition": "MT",
          "gear": 1,
          "role": "Noah birth",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 1,
          "center": 3246
        },
        "D": {
          "tradition": "SP",
          "gear": 1,
          "role": "Noah death",
          "rail": "primary",
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 2756
        },
        "R": {
          "tradition": "MT",
          "gear": 2,
          "role": "Flood start",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 1,
          "center": 2648,
          "base_native_Cainan": 0,
          "base_center": 2458
        }
      },
      "coordinates": [
        3706,
        3246,
        2756,
        2648
      ],
      "adjacent_legs": [
        460,
        490,
        108
      ],
      "Noah_life": 950,
      "death_to_MT_Flood": 108,
      "MT_Noah_to_MT_Flood": 598,
      "total_2K": 1058,
      "N_minus460_required": 3246,
      "N_minus460_MT_Noah_matches": [
        {
          "tradition": "MT",
          "gear": 1,
          "role": "Noah birth",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 1,
          "center": 3246
        }
      ],
      "C287_S": -6345,
      "C287_F": -5287,
      "coincident_LXX_Noah_labels": [
        {
          "tradition": "LXX",
          "gear": 1,
          "role": "Noah birth",
          "rail": null,
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 3706
        }
      ]
    },
    {
      "i": 4,
      "SP_gear": 2,
      "rail": "companion",
      "records": {
        "N": {
          "tradition": "SP",
          "gear": 2,
          "role": "Noah birth",
          "rail": "companion",
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 3707
        },
        "M": {
          "tradition": "MT",
          "gear": 2,
          "role": "Noah birth",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 1,
          "center": 3248
        },
        "D": {
          "tradition": "SP",
          "gear": 2,
          "role": "Noah death",
          "rail": "companion",
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 2757
        },
        "R": {
          "tradition": "MT",
          "gear": 3,
          "role": "Flood close",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 1,
          "center": 2649,
          "base_native_Cainan": 0,
          "base_center": 2459
        }
      },
      "coordinates": [
        3707,
        3248,
        2757,
        2649
      ],
      "adjacent_legs": [
        459,
        491,
        108
      ],
      "Noah_life": 950,
      "death_to_MT_Flood": 108,
      "MT_Noah_to_MT_Flood": 599,
      "total_2K": 1058,
      "N_minus460_required": 3247,
      "N_minus460_MT_Noah_matches": [],
      "C287_S": -6344,
      "C287_F": -5286,
      "coincident_LXX_Noah_labels": []
    },
    {
      "i": 5,
      "SP_gear": 2,
      "rail": "primary",
      "records": {
        "N": {
          "tradition": "SP",
          "gear": 2,
          "role": "Noah birth",
          "rail": "primary",
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 3708
        },
        "M": {
          "tradition": "MT",
          "gear": 2,
          "role": "Noah birth",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 1,
          "center": 3248
        },
        "D": {
          "tradition": "SP",
          "gear": 2,
          "role": "Noah death",
          "rail": "primary",
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 2758
        },
        "R": {
          "tradition": "MT",
          "gear": 3,
          "role": "Flood start",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 1,
          "center": 2650,
          "base_native_Cainan": 0,
          "base_center": 2460
        }
      },
      "coordinates": [
        3708,
        3248,
        2758,
        2650
      ],
      "adjacent_legs": [
        460,
        490,
        108
      ],
      "Noah_life": 950,
      "death_to_MT_Flood": 108,
      "MT_Noah_to_MT_Flood": 598,
      "total_2K": 1058,
      "N_minus460_required": 3248,
      "N_minus460_MT_Noah_matches": [
        {
          "tradition": "MT",
          "gear": 2,
          "role": "Noah birth",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 1,
          "center": 3248
        }
      ],
      "C287_S": -6343,
      "C287_F": -5285,
      "coincident_LXX_Noah_labels": [
        {
          "tradition": "LXX",
          "gear": 2,
          "role": "Noah birth",
          "rail": null,
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 3708
        }
      ]
    }
  ],
  "conditional_survivors": [
    {
      "a": 2,
      "b": 2,
      "i": 5
    },
    {
      "a": 2,
      "b": 2,
      "i": 3
    }
  ],
  "new_criteria_survivors": [
    {
      "a": 0,
      "b": 2,
      "i": 5
    },
    {
      "a": 0,
      "b": 2,
      "i": 3
    },
    {
      "a": 2,
      "b": 2,
      "i": 5
    },
    {
      "a": 2,
      "b": 2,
      "i": 3
    }
  ],
  "archive_gate_totals": {
    "packets": 9,
    "manifest_payloads": 279,
    "certificate_bindings": 155,
    "predecessor_links": 9,
    "frozen_source_payloads": 106,
    "main_output_comparisons": 18,
    "independent_output_comparisons": 9,
    "successful_publications": 27
  },
  "reading_index_summary": "The batch adds a source-qualified Noah-lifespan dissection to the existing 529 structure: all four complete C287 SP paths have 2K = 1058 = 950 + 108. Primary paths use 460 + 490 + 108; companion paths with actual MT Noah use 459 + 491 + 108. Noah’s 490 remainder survives the explicit 500/502 binding change but depends on the restored MT context. The new death criteria leave 02 and 22; adding the two 17K condition selects 22 at primary i3/5 conditionally. No new source prescription or independent witness count is established.",
  "restart_checkpoint": "Latest completed: C333. C334 is unexecuted; authorization exhausted. Retain the C323 synthesis and C324–C332 source, geometry, context, modal and dependency controls. Full C287 domain remains i2…5; C332 tests only the inherited C319 i3…7 slice. Primary 950 = 460 + 490 and all-four 2K = 950 + 108 are source-qualified consequences; companion uses 459/491. Global paired Mirror: January AD1. Local junction: January AD2. No civil year zero. K = 529, E = 25/23, P = 70/69; AXIS source K = 25/23 translates to current E. Regular Gears: Noah/Shem/Flood only. SP person companion remains local; Flood close is separate. No new endpoint, phase, fitted anchor, global axis, primer, canonical or graph edit. Preserve source, modal and ancestry distinctions and the SP primary-death qualification. Corrected LXX8464 supplement remains awareness only: 1564→1700, 2484→2700, 920→1000; AD3746/2300 is superseded. Current decisions override stale next-step paragraphs. Do not rerun completed research.",
  "C334_executed": false,
  "canonical_or_graph_edits": false,
  "new_independent_witness_claim": false
}