{
  "step": "C434",
  "status": "completed",
  "title": "Source Derivation and the Six-Case Gear/Terah Boundary of the 128 Plus 64 Factorization",
  "date": "2026-09-25",
  "previous_certificate_sha256": "d2500636f8dba9ed46455fa6c43b20cb22beabe6e1aaa88e567f4f4f440c12da",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C434_Source_Derivation_and_Six_Case_Boundary_20260925.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C434_20260925.md",
    "data": "evidence/DATA.json",
    "results": "evidence/RESULTS.json",
    "calculation": "evidence/CALCULATION.py",
    "verifier": "evidence/check.py",
    "secondary_calculation": "evidence/SECOND_METHOD.py",
    "secondary_results": "evidence/SECOND_METHOD_RESULTS.json",
    "next_step_decision": "NEXT_STEP_DECISION.json",
    "replay": "REPLAY.json",
    "control_integrity": "CONTROL_INTEGRITY.json",
    "access_and_authorization": "ACCESS_AND_AUTHORIZATION.json",
    "readme": "README.md"
  },
  "step_sha256": "40625e62506e72017c27c1eb8c9d556026c650d49ec43015b888b742adef5d91",
  "source_manifest_sha256": "6a6617582edaa3d15eb4afd700efe0d8ca629e3d692b04ab35021721977ebb91",
  "report_sha256": "0d0160a0b29069dca5191fad27d61bc55c6645d51b3e1487857e63c887073839",
  "checkpoint_sha256": "db4ebbe8a9546619054faf89230362eb6935cb76acdde9e1e0be7d8c84dd2cde",
  "data_sha256": "2f994646ff7149d889ed3a76327b3ff6bd4bf8a4d62314b534986f2d3d93196c",
  "results_sha256": "98a0a2cc135d97ef734ebc3ba54e9e5faa1d7dc02fce1dabbcaf42e2dcf48a2e",
  "calculation_sha256": "4cb897e0dcb7b612c60828b4dc0143bdb938bbaaee8b58bd760b960b9367a80b",
  "verifier_sha256": "ebee324635859d283f3955f2cbbb73509dc5ced886de05c5f8b24871000f7f53",
  "secondary_calculation_sha256": "9749dd6e1afd857d932a512c6270909ea55228426c74849366f7f14625ec02a0",
  "secondary_results_sha256": "5ed33597c029e1455abd741fbe40704ae8fd5eb9419f18d7c66b8cf4777f5e35",
  "next_step_decision_sha256": "929b8e8d648fb160cd8b22f016d3684e8f5cae80fb6d2a088574ecae85b73d35",
  "replay_sha256": "a4699e32287fdfb520ff19ae42ea7da82b9592a5d32082cf084f3f7ba40f289c",
  "control_integrity_sha256": "6f33d96bc195accd324ef608c41b37ca9e3a10b62617c5078ad2a253391a66b9",
  "access_and_authorization_sha256": "42f79c5a35e8b02bf5eadc83314d6ad5bc35b9301d57decf002aa9caa168e957",
  "readme_sha256": "06238d8f08bb4e7b6d42fb1d67cbb453f5beb2fd7fe9b7e5b655e9d37b7e1a87",
  "assertions_passed": 97,
  "source_checks_passed": 38,
  "secondary_checks_passed": 24,
  "main_result": "Source identity25(215-130+1)+23*950=48*500 derives p=N-86,q=N-950,H=N-500 and E_q composed with E_p=(E_H)^2. All six G1-3/T0-1 comparisons retain sourced pivots and whole-map equality; onlyG1/T0 has the complete2K path2148->2020->1956, with two actual-pivot label versions. The MT station shifts explain128=130-2,64=60+4,192=130+60+2. Formal source bounds forceG1/T0; no other admitted role rescues missing coordinates. C432 E excerpt locator corrected; numerical results unchanged.",
  "limits": [
    "Source-qualified affine comparison, not a combined chronology prescription.",
    "SP primary Noah-death retains the inclusive/harmonic qualification.",
    "P and Q cross contexts; their864 gap is not one Noah lifespan.",
    "Regular Gears remain Noah/Shem/Flood only; formal G4/G5 and T2 are rejected.",
    "LXX OFF aliases are theoretical, not native-Cainan dates or independent witnesses.",
    "Existing phase/component limits are inherited; no new seasonal claim.",
    "SKL supplement retained for awareness only.",
    "No wider-input census is performed: C435 remains unexecuted."
  ],
  "canonical_or_graph_edits": false,
  "new_independent_agent_review": false,
  "next_step_executed": false,
  "next_proposed_step": "Keep the six sourced C434 pivot pairs fixed and test all 373 existing regular coordinates as inputs, requiring sourced intermediates and outputs and retaining their role/context labels: 2238 input/map comparisons. No new pivots, coordinates or domain expansion."
}