{ "status": "passed", "scope": "Small exact diagnostics for finite digit updates and rounded anchors.\n\nThese check finite examples and algebraic identities, not the general locality\nproof or every adversary trajectory. No nonstandard dependencies are used.", "continuous_invariance_moment_checks": 72, "full_local_endpoint_cases": 1152, "rounding_checks": 1953, "fallback_anchor_checks": 2206, "nonminimal_anchor_example_checked": true, "finite_chain_update_checks": 43706, "finite_chain": [ { "sweeps": 1, "computations": 4, "distinct_final_states": 2 }, { "sweeps": 2, "computations": 16, "distinct_final_states": 6 }, { "sweeps": 3, "computations": 64, "distinct_final_states": 22 }, { "sweeps": 4, "computations": 256, "distinct_final_states": 86 }, { "sweeps": 5, "computations": 1024, "distinct_final_states": 342 }, { "sweeps": 6, "computations": 4096, "distinct_final_states": 1366 }, { "sweeps": 7, "computations": 16384, "distinct_final_states": 5462 }, { "sweeps": 8, "computations": 65536, "distinct_final_states": 21846 } ], "note": "Small chain parameters are diagnostic examples, not the much larger certified locality parameters." }