C450 CERTIFICATE.json

{
  "step": "C450",
  "status": "completed",
  "title": "Primitive E Arrows at the Eight Existing Pivots",
  "previous_certificate_sha256": "bf2fbc7b32ed60ec92a4eed4792fc9d806d1ce7f55f1846cdac2619411e97c83",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C450_Eight_Pivot_E_Arrow_Census_20260925.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C450_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": "521f818979dc7f84f396a9396a063baa54fa48b14bce176fe710e5b7dfbfe5cd",
  "source_manifest_sha256": "d1d66a019bcdc363095f3da93c2bbcce8005ff3fbff5441c407b10331d5b499f",
  "report_sha256": "b227f3d6f0f0dd00766b9f23102fe40b17cd75b890c57517b03897040de674cb",
  "checkpoint_sha256": "8f4b5134ef9a236d90a55ad7e779e362d771814b6af9da7bdfec90f95fb9a562",
  "data_sha256": "2a9ddb9fff8cfd605963a4832d78463740595f11534c2d87801c428a106f3a7c",
  "results_sha256": "c99ae0d442bbb442e03a1f7700f96e0c6b79cfd2cab7d04ba8c299b582e3c74e",
  "calculation_sha256": "a73e2bc7b2e1e5e2b25c8fbf0e4443fb1468e2368a44c5cc2f7c32b4fee91c23",
  "verifier_sha256": "46964ade0128d97b589fb678853daf7b81ffff1d90eb1a99221031ba734b093f",
  "next_step_decision_sha256": "d8b8e0730bb820788efddd5e7ebf0dc3e5fe88a19eb725e2632e53741036bbab",
  "replay_sha256": "46c820273c6300ada3c6f95c4d32ecf9702bbabd3f25e928cc3d0cbf517042b7",
  "control_integrity_sha256": "24e687bf3e03c7f16c3ca2aafe4c72e9aab25f03d55fa644c44a178e698ff3df",
  "readme_sha256": "218f65e08660a209dd9a596c13d6338f3729e6b42248b19cfc2c739f1ceb96da",
  "assertions_passed": 45,
  "source_checks_passed": 19,
  "main_result": "The eight existing pivots yield37 sourced E arrows in2,984 trials: eight pivot self-arrows and29 distinct nonzero arrows. Another2,854 outputs are fractional and93 are integer coordinates absent from the frozen register.",
  "limits": "An integer/sourced arrow is an arithmetic comparison. This menu does not authorize applying E to every calendar date or identifying different source contexts.",
  "canonical_or_graph_edits": false,
  "new_independent_agent_review": false,
  "next_step_executed": false,
  "next_proposed_step": "Compute directed reachability for the combined fixed-reflection and eight-pivot E menu, retaining exact shortest operator witnesses and testing every reachable distinct pair for nonzero529 multiples."
}