{
  "step": "C395",
  "status": "completed",
  "date": "2026-09-24",
  "title": "E/J endpoint loops, affine fixed points and biography limits",
  "previous_certificate_sha256": "cf0f83eaa44a3d1955ba9848d22e3863cb52deb1009bbc283b98dda24e4b0f37",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C395_E_J_Endpoint_Loops_Affine_Fixed_Points_and_Biography_Limits_20260924.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C395_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"
  },
  "step_sha256": "3438222110536f4d02ad475d8f3ac2f521de99292cec468dedd3939ece5d807e",
  "source_manifest_sha256": "c240ac88597fa8432c5e6ab7c03de7d0252c47d4b78abf389603d93b4f5e202e",
  "report_sha256": "86ca644f61ec99ff21c013984fbedcf27f0466abc883dd6e760e748e65858f6e",
  "checkpoint_sha256": "9b9f60040641a7aa700c5bb102a1f0587908f7a61453d8254f9d7ca99084681f",
  "data_sha256": "d0d162278a03bb00402237951672635e9f50b7aa6552658726967949e2a672e2",
  "results_sha256": "5fde803b7c89a0ac4b3d34ad947bb04f8d383c2fdc5bd9921bd2ed0657e2b9f3",
  "calculation_sha256": "6443b2afddc3e956a33df932c0e7436e89157eaf951ef55047ffe7518e7aaf62",
  "verifier_sha256": "9f175670abb70f7819dd7f6d997ff0bef2e58df8dffd763b433f6c6cd62e332d",
  "next_step_decision_sha256": "424ce304be89974c7ef6bea18aae4117b4c3bf4eee0b6ca6db3082f74e43e123",
  "replay_sha256": "5db0aed13d3d473e24455b6d4c03b77cbf6bdd71709a64bdb64420092da3b97e",
  "control_integrity_sha256": "9810807cb07b02f43f568f68bb82cb41a6eeff6799902254b4932e5c350ac838",
  "readme_sha256": "1da43376a3e75c932a284c1dd499c82148dc148b4809031cc95c72e4f6d7e8c7",
  "assertions_passed": 20,
  "source_checks_passed": 14,
  "main_result": "Two E/J endpoint loops have exact compositions centered at the two source Noah points with multiplier7500/6877. They do not commute or act as global inverses; order defect−1246/6877. Four matched-component loops pass, while whole950 biographies and one physical seasonal action fail.",
  "limits": "The loops concern selected source endpoints and exact affine comparisons. No independent-witness claim, inverse chronology protocol, preserved biography or new phase is inferred.",
  "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": "Enumerate the same adjacent-Gear E/J return-loop motif across all coherent regular Noah families and both existing Flood boundaries. Then classify whether each surviving loop also has an existing P return pivot, without prefiltering by tradition or529.",
  "next_step_executed": false
}