{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:PDHMMR2GBFHBIPZ7QIXF7M666R","short_pith_number":"pith:PDHMMR2G","schema_version":"1.0","canonical_sha256":"78cec64746094e143f3f822e5fb3def4758f92961faf2665146235695d4f9458","source":{"kind":"arxiv","id":"1008.4182","version":3},"attestation_state":"computed","paper":{"title":"Exact Synchronization for Finite-State Sources","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.DS","math.IT","stat.ML"],"primary_cat":"nlin.CD","authors_text":"James P. Crutchfield, Nicholas F. Travers","submitted_at":"2010-08-25T00:59:08Z","abstract_excerpt":"We analyze how an observer synchronizes to the internal state of a finite-state information source, using the epsilon-machine causal representation. Here, we treat the case of exact synchronization, when it is possible for the observer to synchronize completely after a finite number of observations. The more difficult case of strictly asymptotic synchronization is treated in a sequel. In both cases, we find that an observer, on average, will synchronize to the source state exponentially fast and that, as a result, the average accuracy in an observer's predictions of the source output approache"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1008.4182","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-08-25T00:59:08Z","cross_cats_sorted":["cs.IT","math.DS","math.IT","stat.ML"],"title_canon_sha256":"5f41855b2e5813353af1d93239e2fd235e68a156a131c5be39fa2cfc391e4c1c","abstract_canon_sha256":"ce1c03a5125d908fa1019cc485851a732615d0b01d203fb808cf1e89eb4498e8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:43.043178Z","signature_b64":"SR7C8o62P/MXY8z+uVWCSwdgT6OxnxOhi6p9rHAn+ICipOREt023D5J/euH7x6NIzCacpW90+JJdElrbROK3Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"78cec64746094e143f3f822e5fb3def4758f92961faf2665146235695d4f9458","last_reissued_at":"2026-05-18T02:05:43.042424Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:43.042424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact Synchronization for Finite-State Sources","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.DS","math.IT","stat.ML"],"primary_cat":"nlin.CD","authors_text":"James P. Crutchfield, Nicholas F. Travers","submitted_at":"2010-08-25T00:59:08Z","abstract_excerpt":"We analyze how an observer synchronizes to the internal state of a finite-state information source, using the epsilon-machine causal representation. Here, we treat the case of exact synchronization, when it is possible for the observer to synchronize completely after a finite number of observations. The more difficult case of strictly asymptotic synchronization is treated in a sequel. In both cases, we find that an observer, on average, will synchronize to the source state exponentially fast and that, as a result, the average accuracy in an observer's predictions of the source output approache"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4182","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1008.4182","created_at":"2026-05-18T02:05:43.042615+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.4182v3","created_at":"2026-05-18T02:05:43.042615+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4182","created_at":"2026-05-18T02:05:43.042615+00:00"},{"alias_kind":"pith_short_12","alias_value":"PDHMMR2GBFHB","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_16","alias_value":"PDHMMR2GBFHBIPZ7","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_8","alias_value":"PDHMMR2G","created_at":"2026-05-18T12:26:12.377268+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PDHMMR2GBFHBIPZ7QIXF7M666R","json":"https://pith.science/pith/PDHMMR2GBFHBIPZ7QIXF7M666R.json","graph_json":"https://pith.science/api/pith-number/PDHMMR2GBFHBIPZ7QIXF7M666R/graph.json","events_json":"https://pith.science/api/pith-number/PDHMMR2GBFHBIPZ7QIXF7M666R/events.json","paper":"https://pith.science/paper/PDHMMR2G"},"agent_actions":{"view_html":"https://pith.science/pith/PDHMMR2GBFHBIPZ7QIXF7M666R","download_json":"https://pith.science/pith/PDHMMR2GBFHBIPZ7QIXF7M666R.json","view_paper":"https://pith.science/paper/PDHMMR2G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.4182&json=true","fetch_graph":"https://pith.science/api/pith-number/PDHMMR2GBFHBIPZ7QIXF7M666R/graph.json","fetch_events":"https://pith.science/api/pith-number/PDHMMR2GBFHBIPZ7QIXF7M666R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PDHMMR2GBFHBIPZ7QIXF7M666R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PDHMMR2GBFHBIPZ7QIXF7M666R/action/storage_attestation","attest_author":"https://pith.science/pith/PDHMMR2GBFHBIPZ7QIXF7M666R/action/author_attestation","sign_citation":"https://pith.science/pith/PDHMMR2GBFHBIPZ7QIXF7M666R/action/citation_signature","submit_replication":"https://pith.science/pith/PDHMMR2GBFHBIPZ7QIXF7M666R/action/replication_record"}},"created_at":"2026-05-18T02:05:43.042615+00:00","updated_at":"2026-05-18T02:05:43.042615+00:00"}