{
  "step": "C409",
  "status": "completed",
  "date": "2026-09-24",
  "title": "Fixed Mirror-corner test of the Shem loop translation",
  "previous_certificate_sha256": "5bf6569d9729ab2e26685cdeade5d76dcbf44af2e95c49021de590cf85f88631",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C409_Fixed_Mirror_Corner_Test_of_Shem_Loop_Translation_20260924.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C409_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": "e9e0472a941c7ef8533147fc903589cf542037dee9068a689648abd2777302c7",
  "source_manifest_sha256": "6a54b4610a350355a2d7c46c69dc97d899b889b46eabe48c1d427463bb3e4062",
  "report_sha256": "1b85fb944280dd2665518e4bd0b51302fd63e81cf2e457c7237d299d04f0ce0a",
  "checkpoint_sha256": "686552a8cf9ab6980a2db28b2f1519ec6faf209c3e4ace314d4547883b09c344",
  "data_sha256": "0b2ce63cf738e65c72a2f09c20ae5f8d8ff5d8f4d698d997b713795e70c5b007",
  "results_sha256": "e2967db77bebce5b3d71a845b268ea92a493c9f59846c4eaab947032fbd023f8",
  "calculation_sha256": "a2c43ad1743b5990b6e34fd8e257c314ed35ba1b2a4a58470951caa07d1900ce",
  "verifier_sha256": "9f175670abb70f7819dd7f6d997ff0bef2e58df8dffd763b433f6c6cd62e332d",
  "next_step_decision_sha256": "c084d28bb244d3e8af6bfe1f23034ddc773b27f33cbb9d90338c639acc668299",
  "replay_sha256": "e6b448f10fae0a93ae70c94b0a102a19a531577d873992f209d41fb386e9deb9",
  "control_integrity_sha256": "9810807cb07b02f43f568f68bb82cb41a6eeff6799902254b4932e5c350ac838",
  "readme_sha256": "5244b1979c03ccfad33f34709226d408b862cad9ba48bb86e6da2ba9ce56beb7",
  "assertions_passed": 112,
  "source_checks_passed": 20,
  "main_result": "Both original2K short sides remain1058 after translating the regular endpoints−500, but both17K cross-spans become8493. Under the unchanged corner exchanges−2639/−2635, all104 labelled reflected Shem-loop slots and208 reversed-phase components are absent from the frozen cumulative menu.",
  "limits": "The absence claim is limited to the frozen cumulative menu and existing two corner exchanges. Source roles, labels and phases remain distinct; no new global axis is fitted.",
  "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 fixed−500 comparison on all373 existing regular coordinates, preserving every endpoint label. Classify the source-supported arrows, determine maximal finite chains, and distinguish the proven Noah/Flood-to-Shem role correspondence from additional coordinate coincidences. Do not search other shifts or introduce new endpoints.",
  "next_step_executed": false
}