{
  "step": "C313",
  "date": "2026-09-24",
  "status": "completed",
  "title": "SP500-year source binding to17K Noah endpoints",
  "previous_certificate_sha256": "98045c9d07ebff378a9a13511719f191e7996b69d016af694fa9f26661a8e542",
  "bindings": {
    "source_manifest": "SOURCE_MANIFEST.json",
    "step": "STEP.json",
    "test_plan": "TEST_PLAN.json",
    "report": "490d_C313_SP_500_Binding_to_17K_Noah_20260924.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C313_20260924.md",
    "results": "evidence/RESULTS.json",
    "data": "evidence/DATA.json",
    "calculation": "evidence/CALCULATION.py",
    "verifier": "evidence/check_c313.py",
    "review": "REVIEW.json",
    "replay": "REPLAY.json",
    "control_integrity": "CONTROL_INTEGRITY.json",
    "next_step_decision": "NEXT_STEP_DECISION.json",
    "readme": "README.md",
    "source_review": "evidence/C313_Source_Review.md",
    "independent_review": "evidence/C313_Independent_Math_Review.md",
    "independent_script": "evidence/C313_Independent_Math.py",
    "independent_results": "evidence/C313_Independent_Math_Results.json"
  },
  "source_manifest_sha256": "de4edf150dbc8a04452d35aa00cfe429f5db114bfd7d69b2be401e15837b181d",
  "step_sha256": "53377371c1fe1131b702db1596d9fb9555192cdb7939dfb1902568c9e0e6709e",
  "test_plan_sha256": "4bbe41625aa745b74b433d63b3559fd5d5012126dc8dc2ecf3ddd1c5e9075abe",
  "report_sha256": "8ab13c9b693929765a190829de5c311a1573fdf45b268eea97754d386db7ef97",
  "checkpoint_sha256": "7b668cf9fe766d4c2955f3cc1eb6f5b67d3aca1b26be59d69a6f40b776683925",
  "results_sha256": "ce0eaaebba5894d711aa3e1637b6a723f081f6279f5f468e6d27a5f87071a7d3",
  "data_sha256": "4b3186077604518aaf979b7237b358eee7f9453c79bf41ed74f64dea39059635",
  "calculation_sha256": "68f090bf54d67763bd896e833b6bd22517f602f1392d89da9c706fc3890336d5",
  "verifier_sha256": "218e49ec2669fd80cb902bba5c10298a94b01364bf15339f62fcb947e0a4d1bc",
  "review_sha256": "65fdb2552747254f535ff13d271c1d8b5407acb4676cfd9bcce1c1ea05395024",
  "replay_sha256": "479c6f8469cfae398a33f907c4bbec0c6c0192ea74d0251ba637d78062b9fd25",
  "control_integrity_sha256": "bf810327332e879baa4d5792ee448586ea77ecd8025b3bc5212df46796251800",
  "next_step_decision_sha256": "f20cb161943c0601f68cada2c2458eb6b0971f926d3be28772bca8cfca224d24",
  "readme_sha256": "293972fc225f34afa8eea227a9bce315dd3acb7c4b85957556783ba08bc9e5bd",
  "source_review_sha256": "a365e6938e3eb62f3d80784dc30c875c3e213ac8ebf21fd3331da0b4790e2432",
  "independent_review_sha256": "2beacea8c3df343c0c089a18a5f3de22ad91425d054dddade6efa89d391fc82f",
  "independent_script_sha256": "834a4f175515b0e97675ab2f715114dfc952134b9d03184d323260b7930fbda0",
  "independent_results_sha256": "14e23c55f8694601bdec3a0d966c721a55f3fced507ccdc7245c230a6da5b2e5",
  "assertions_passed": 44,
  "source_checks_passed": 16,
  "frozen_inputs": 12,
  "main_result": "One same-index typed center500 match atj5G2primary: Noah3708, Shem3208→2608. All five source lives and direct17K Noah endpoints are admitted. The successful unordered phase-pair match does not preserve common cumulative ancestry: correlated gaps499.5/500.5.",
  "counts": {
    "cases": 5,
    "valid_normalized_Shem_pairs": 5,
    "valid_direct17K_Noah_endpoints": 5,
    "typed_center500_successes": 1,
    "unordered_phase_pair500_successes": 1,
    "same_ancestry500_successes": 0,
    "retained_C287_complete_rows": 3
  },
  "limits": [
    "Exact source biography and unordered phase-pair equality remain valid",
    "No same-cumulative-component500 correspondence holds",
    "Direct17K endpoint support differs from full C287 configuration membership",
    "No source-prescribed C310 selector is established",
    "The reversed-index/phase candidate is unexecuted",
    "No new endpoint, historical intention, statistical independence or global axis law is claimed"
  ],
  "canonical_or_graph_edits": false,
  "new_independent_agent_review": true,
  "next_proposed_step": "Does the forced reversed annual-index pairing i+j=10, with explicit opposite cumulative phase ancestry, give a source-labelled500-year Noah/Shem correspondence across the same five cases?",
  "next_step_executed": false
}