{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JPUNM2SNQNHSJAAGNEL7H63XVK","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3dfb33daeb016f4a6f7ee40033bbbd981e178fd04f76d6d62aa3da3be3689e48","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-04-24T14:48:52Z","title_canon_sha256":"61ae1ca6c2ba1cfc1d06ddb99f89011d90b93250b10e0ba0a172097ce5f24cb5"},"schema_version":"1.0","source":{"id":"1204.5393","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.5393","created_at":"2026-05-18T03:46:45Z"},{"alias_kind":"arxiv_version","alias_value":"1204.5393v2","created_at":"2026-05-18T03:46:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5393","created_at":"2026-05-18T03:46:45Z"},{"alias_kind":"pith_short_12","alias_value":"JPUNM2SNQNHS","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JPUNM2SNQNHSJAAG","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JPUNM2SN","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:c81f44066d3fedf60c593acee0b2c0e65a61af25f829cc230f0e253d3725a0ea","target":"graph","created_at":"2026-05-18T03:46:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We prove that the uniform recurrence of morphic sequences is decidable. For this we show that the number of derived sequences of uniformly recurrent morphic sequences is bounded. As a corollary we obtain that uniformly recurrent morphic sequences are primitive substitutive sequences.","authors_text":"Fabien Durand (LAMFA)","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-04-24T14:48:52Z","title":"Decidability of uniform recurrence of morphic sequences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5393","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:74be6c6cd3dafe5f7c01992966ef8d4d98d07d1c06dfb3ad5dde6f20a692cda6","target":"record","created_at":"2026-05-18T03:46:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3dfb33daeb016f4a6f7ee40033bbbd981e178fd04f76d6d62aa3da3be3689e48","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-04-24T14:48:52Z","title_canon_sha256":"61ae1ca6c2ba1cfc1d06ddb99f89011d90b93250b10e0ba0a172097ce5f24cb5"},"schema_version":"1.0","source":{"id":"1204.5393","kind":"arxiv","version":2}},"canonical_sha256":"4be8d66a4d834f2480066917f3fb77aa82b71e13b28b2bc20055485aaabdf538","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4be8d66a4d834f2480066917f3fb77aa82b71e13b28b2bc20055485aaabdf538","first_computed_at":"2026-05-18T03:46:45.126340Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:45.126340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sdUvZN+PbfaqilarctBSAoKYVayCLq9F2jDYx/QlmzizPJ8rdE0bicAiS84MgALhDvoGVOCxAREmo/KTxL5FAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:45.127159Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.5393","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74be6c6cd3dafe5f7c01992966ef8d4d98d07d1c06dfb3ad5dde6f20a692cda6","sha256:c81f44066d3fedf60c593acee0b2c0e65a61af25f829cc230f0e253d3725a0ea"],"state_sha256":"88296545faf2d2d1a260839fdf3118c0684e3665944b2d01194195dbcf35483e"}