{
  "step": "C448",
  "status": "completed",
  "title": "Cycle Words and Fixed-Point Returns",
  "previous_certificate_sha256": "2fb42114dfa2bd955b00754c2f62e2145f47a6344ef3116fac8773f1866a6594",
  "bindings": {
    "step": "STEP.json",
    "source_manifest": "SOURCE_MANIFEST.json",
    "report": "490d_C448_Reflection_Cycle_Identity_and_Fixed_Point_Returns_20260925.md",
    "checkpoint": "490d_Mirror_Checkpoint_After_C448_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": "f9746054142cfc735268d4416a3071b64e66e3dbe450a1879678093a7a1f918d",
  "source_manifest_sha256": "00d3c996aac7065551f2d5b289b8745b0111398bfa2542d14c287699692797cc",
  "report_sha256": "19a97b6670765e85131556367dccac3d3f0d196333ab526eb67ba6e627748d56",
  "checkpoint_sha256": "27dda88cf995744f78a4afd49ae68a6e137d70bac213e7f4cda05fee56f8088a",
  "data_sha256": "3ce97a16f07bb5080c8392a9f5782901a04e8008dfa4bc35931015dcc0b1bdf8",
  "results_sha256": "9bbe28571e3ec50cdd7f9e7c3003ddebb56a2acc6b704485f847b449895299ec",
  "calculation_sha256": "b20873489663c88cd032b8de5e08c6d755a7c56a70176685b0072ef5060c0028",
  "verifier_sha256": "46964ade0128d97b589fb678853daf7b81ffff1d90eb1a99221031ba734b093f",
  "next_step_decision_sha256": "849b3585595a57f53cc55de83cf5924356af5bc7f796b325e95f8a76d11170d9",
  "replay_sha256": "bf1aeddf5ad06d8b2a06f2bd8e2012c0445819455ce191f0eaf2e6d5030897a1",
  "control_integrity_sha256": "24e687bf3e03c7f16c3ca2aafe4c72e9aab25f03d55fa644c44a178e698ff3df",
  "readme_sha256": "9fd45c703bf7d304445c8fcf962f10691f37e607db3edf9389d61a86a8d45581",
  "assertions_passed": 2,
  "source_checks_passed": 20,
  "main_result": "The reflection graph has one ordinary simple cycle, 2610→3766→2730→3770→2610, through centers3188,3248,3250,3190. Its four-reflection affine word is the identity because3188+3250=3248+3190. The other four cycles are single-center fixed-point loops, not identity maps.",
  "limits": "No new reflection center was fitted. An identity word is a composition formula, not evidence of a chronological cycle or historical design intent.",
  "canonical_or_graph_edits": false,
  "new_independent_agent_review": false,
  "next_step_executed": false,
  "next_proposed_step": "Census all 24 orders using each fixed center once on all 373 inputs, and resolve the source labels and context changes of every complete four-letter return."
}