{
  "step": "C373",
  "status": "completed",
  "date": "2026-09-24",
  "title": "Noah lifespan, paired P/J and529 source synthesis",
  "previous_certificate_sha256": "1f563c122026cef6f54177dd15b508a7c1c310d130a28f7ab468e85bb1e5e570",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C373_Noah_Lifespan_Paired_P_J_and_529_Synthesis_20260924.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C373_20260924.md",
    "data": "evidence/DATA.json",
    "results": "evidence/RESULTS.json",
    "calculation": "evidence/CALCULATION.py",
    "verifier": "evidence/check.py",
    "next_step_decision": "NEXT_STEP_DECISION.json",
    "replay": "REPLAY.json",
    "control_integrity": "CONTROL_INTEGRITY.json",
    "readme": "README.md",
    "review_0": "evidence/ROOT_SECOND_METHOD.py",
    "review_1": "evidence/ROOT_SECOND_METHOD_RESULTS.json"
  },
  "step_sha256": "ee91835014bf0822d54bafe12b5976acc5f679c5c5c226ff54a80da1e14742e1",
  "source_manifest_sha256": "56bc00e881309eb7ea6264c2f12a8c1f8a16abf70b73adfe8c58d923774b3c25",
  "report_sha256": "fc008062257ef4a1b21a49bd2a0ef9f99870af2ee49ff4ede98199981efa0ab8",
  "checkpoint_sha256": "6d2e4687b7f7821f50af16ba33eb691d4022654da1e9e0930d088142001ce615",
  "data_sha256": "149e9a2d9c0145e15c19a7117e4ebc8b7f1760a65e76a14956450ea417d95fb3",
  "results_sha256": "e11b070688ededa3d3333084fed515ef4ad7b67dd2100d730a97428249feaad1",
  "calculation_sha256": "98c904baed631b2f9937e5a83dbc2436f49317341d8191efc6fd775ddf0b95f8",
  "verifier_sha256": "9f175670abb70f7819dd7f6d997ff0bef2e58df8dffd763b433f6c6cd62e332d",
  "next_step_decision_sha256": "f594d2edfae37d2eb588ff5f2a597515aca629a283afef6a858ffabc963e4fe2",
  "replay_sha256": "cd3b5e38798be21ca76aea5fdf2aeb85bb5dabcfae040b769158f7aa9de81d12",
  "control_integrity_sha256": "9810807cb07b02f43f568f68bb82cb41a6eeff6799902254b4932e5c350ac838",
  "readme_sha256": "6e84319dda3cfe185e1889972f889c2bfa4e8f1465282df75017fe29a0270503",
  "review_0_sha256": "2ffff1279fb4d9484a635b31831d9e5e33be9bca6d5b5f589f329951a52aa07e",
  "review_1_sha256": "90fe2e0d5c4737e45cc18dde2aacbed8965df38b7dbb3d76a0fad9346f21dea2",
  "assertions_passed": 77,
  "source_checks_passed": 63,
  "main_result": "C364–C373 complete. The cumulative joined460/598→500/600 proposal has no source internal or terminal member in its frozen menu. Existing cumulative and regular Noah950 biographies instead share460/490/460 source shapes; companion shapes require the explicit annual-member shift j=k−1 and retain459/491/459. Fixed19K carries the native cumulative Noah lifespan to the reflected SP lifespan with birth/death roles exchanged and same-offset components preserved, but does not carry the OFF interior. The full bridge matrix has primary remainders69/138 and companion70/140 after division by529. At actual Flood pivots460 apart, P70/69 on138→140 and J300/299 on598→600 reach the same existing two-year repair: all four complete cumulative rows and the two regular primary rows pass; companion regular rows fail. The full C319 comparison again leaves22:i3/i5. Equal integer gains have primitive family69m→70m,299m→300m,separation230m. When the sourced first segment equals that separation, the side is529m; the actual460 fixesm2 and recovers1058=2K. This is a conditional source-supported arithmetic explanation, not a textual rule coupling the ratios or a global map. No canonical or graph edits.",
  "limits": "Finite source support and exact arithmetic do not establish a source-prescribed coupling, historical intention, independent witnesses or a global physical-time action. C374 is unexecuted.",
  "canonical_or_graph_edits": false,
  "new_independent_agent_review": false,
  "review_provenance": "Root-agent analysis and deterministic replay; no new independent-agent review",
  "next_proposed_step": "Audit the full primary source-labelled Mirror rectangle after both two-year P/J repairs: enumerate the internal and cross-field spans, determine which inherited relationships survive, and test whether a whole-rectangle comparison follows. Hold the original2K/17K outer endpoints and inherited phase ancestry fixed; adopt no fitted bridge, new endpoint or anchor.",
  "next_step_executed": false
}