{
  "step": "C468",
  "status": "completed",
  "title": "Alternate-Method Verification of the Finite 529 Findings",
  "previous_certificate_sha256": "4bda7d49ca904151c9a7ea478a5673918d41454917c7f58a7c2b211f28f92a73",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C468_Alternate_Method_Source_Arithmetic_and_Closure_Verification_20260925.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C468_20260925.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": "523148cea55418da507fb6f515bc4b5fa057c49c8565c27366a01268cf31b5fc",
  "source_manifest_sha256": "22e07856b9c9f28764d0302fdc7982e170584886d2c1809d0ef1f525d7909947",
  "report_sha256": "56304c7686b3ece15219b32a62805318fa01d7f6f73c27f14d400a97f4ef3f56",
  "checkpoint_sha256": "5fb983a2f8f38c8456bbd70eb16d3db7957cdf834bc3c9717f3d6016e4d227dd",
  "data_sha256": "06255714e847bfd28b0c90935aa14accc09b1acb8fe18fff835e965f30546562",
  "results_sha256": "d57a13812d474ae2e150f74338ee343036b010e3683bd207ef39d840fcc58d97",
  "calculation_sha256": "db3d0efbe0fee58d083a482069f466189159139851e77380478ace68235f81f3",
  "verifier_sha256": "46964ade0128d97b589fb678853daf7b81ffff1d90eb1a99221031ba734b093f",
  "next_step_decision_sha256": "9869894fb9d92e5e5a35c4216b621393a029161b3eb42d21248f2abffeff9547",
  "replay_sha256": "d064fe15126f9e42d3ade951c261dfec77cb55a346c7f037d8b89ad1f3838ae6",
  "control_integrity_sha256": "24e687bf3e03c7f16c3ca2aafe4c72e9aab25f03d55fa644c44a178e698ff3df",
  "readme_sha256": "7f77f14a2371f1da6ebeb9633c8f34a4f0274a82792741dbb6375a587184af4e",
  "assertions_passed": 51,
  "source_checks_passed": 54,
  "main_result": "A second implementation passes51 checks and reproduces528 source labels,373 coordinates,330 complete reflection compositions,15 complete two-E paths,60 direct529 pairs,522 mixed reachable pairs with no529 gap, the63-pair shared-word closure with three edges, and all fixed-Mirror image counts. The23 predecessor packets and69 publications pass the sealed integrity audit.",
  "limits": "The alternate method tests the declared register and operator menu. Agreement validates the calculations and source handling, not historical intent or a broader chronology claim.",
  "canonical_or_graph_edits": false,
  "new_independent_agent_review": false,
  "next_step_executed": false,
  "next_proposed_step": "Synthesize C445–C469, state the positive interval ladder and finite exclusions with source limits, resolve any label-count ambiguities, and publish the complete checkpoint, reading index and recovery archives. LeaveC470 unexecuted."
}