{
  "step": "C449",
  "status": "completed",
  "title": "Source Domain of the Four-Center Identity",
  "previous_certificate_sha256": "76526abb2043d21fe8496a19606d42652739e834517975132689d52a83e5a022",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C449_Four_Center_Identity_Source_Domain_20260925.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C449_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": "7cf48194ef1513606d34514ebd688e448423015e0a1a420329a056056edb6a65",
  "source_manifest_sha256": "cde0753d245c1e5f628f2c4695fc749e393045bcaa722681bfece79118348864",
  "report_sha256": "f42ae7160af5f6cb389bbdf2f501284797504d6fccaee3880bbe205b13796baf",
  "checkpoint_sha256": "e95d4a1ee70a9e9046ddaf1f48c95dff0cab4eeac430bc0001bee4ca8318b8af",
  "data_sha256": "23403ce3843d59b3e3a77e36d6bb66e5076b988dbe3a65b0232f7ca344865fea",
  "results_sha256": "d89794b24b9ef6ee63a88b3986585a6b2f01d0f4ac8af1fcb526025bd63701e9",
  "calculation_sha256": "6a99a554a2cfeaf561f5a2096eafc22f99e5165a7591996bcfd0652f32b646e3",
  "verifier_sha256": "46964ade0128d97b589fb678853daf7b81ffff1d90eb1a99221031ba734b093f",
  "next_step_decision_sha256": "168f9cb6debff8276a18e7cb44fc53d86013bd26161828fc09632e856e4ee563",
  "replay_sha256": "8fae2049f3b7bb8d1100e8d75af14eaae31101ff765a277dd050f3da87d9aece",
  "control_integrity_sha256": "24e687bf3e03c7f16c3ca2aafe4c72e9aab25f03d55fa644c44a178e698ff3df",
  "readme_sha256": "eeb384a3ee689006612eb757cf0b365b27fcf113135b1728bc65b55937ad7881",
  "assertions_passed": 8952,
  "source_checks_passed": 19,
  "main_result": "All 8,952 four-distinct-center trials produce exactly eight complete words, all returns: the two directions and four starts of one cycle. Each of the eight identity orders has only one sourced input. The cycle has eight source-label assignments and none keeps one unchanged source context.",
  "limits": "An affine identity remains admitted on a restricted source domain. Context changes are retained explicitly and do not invalidate the arithmetic; they limit historical interpretation.",
  "canonical_or_graph_edits": false,
  "new_independent_agent_review": false,
  "next_step_executed": false,
  "next_proposed_step": "Census E_h(x)=(25x−2h)/23 for the eight already sourced pivots h=c±432 at the four fixed centers, retaining every sourced arrow and exact failure category across all373 inputs."
}