{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:ZTBPQEKQGRVIEREGFOHNROQ3BY","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":"ab6da004cbc7d7c4748f6fb064f9689278961fa1496ba3c124b4c58ba21e17f4","cross_cats_sorted":["cond-mat.soft"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-11-29T19:11:43Z","title_canon_sha256":"47d3b68f819ce9f5a33d89620e857abda54920c47b84cb7c7316db0e486c2ecd"},"schema_version":"1.0","source":{"id":"cond-mat/0611757","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0611757","created_at":"2026-05-18T01:39:39Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0611757v1","created_at":"2026-05-18T01:39:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0611757","created_at":"2026-05-18T01:39:39Z"},{"alias_kind":"pith_short_12","alias_value":"ZTBPQEKQGRVI","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"ZTBPQEKQGRVIEREG","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"ZTBPQEKQ","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:8723f108bf5089e820be70010e3ef8ee443c5005649a5f3bf7b01c669b770072","target":"graph","created_at":"2026-05-18T01:39:39Z","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 study synchronization in populations of phase-coupled stochastic three-state oscillators characterized by a distribution of transition rates. We present results on an exactly solvable dimer as well as a systematic characterization of globally connected arrays of N types of oscillators (N=2, 3, 4) by exploring the linear stability of the nonsynchronous fixed point. We also provide results for globally coupled arrays where the transition rate of each unit is drawn from a uniform distribution of finite width. Even in the presence of transition rate disorder, numerical and analytical results po","authors_text":"C. Van Den Broeck, Katja Lindenberg, Kevin Wood, R. Kawai","cross_cats":["cond-mat.soft"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-11-29T19:11:43Z","title":"Effects of Disorder on Synchronization of Discrete Phase-Coupled Oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0611757","kind":"arxiv","version":1},"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":"sha256:9d56b1fd2ed9c8fdbd940a19a564840462a0a9b10671772192a539ae357a540c","target":"record","created_at":"2026-05-18T01:39:39Z","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":"ab6da004cbc7d7c4748f6fb064f9689278961fa1496ba3c124b4c58ba21e17f4","cross_cats_sorted":["cond-mat.soft"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-11-29T19:11:43Z","title_canon_sha256":"47d3b68f819ce9f5a33d89620e857abda54920c47b84cb7c7316db0e486c2ecd"},"schema_version":"1.0","source":{"id":"cond-mat/0611757","kind":"arxiv","version":1}},"canonical_sha256":"ccc2f81150346a8244862b8ed8ba1b0e2ba8f93ef28383477c0f275214765df4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ccc2f81150346a8244862b8ed8ba1b0e2ba8f93ef28383477c0f275214765df4","first_computed_at":"2026-05-18T01:39:39.287249Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:39.287249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HsQgJqCt0QiXLavUy7jvwirjn/jNHiFpM7uB9Oh2fzs1xd54ampy2q8eFwW7uuu62PB3uzz9Whk7+Vbd17CVDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:39.287869Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0611757","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d56b1fd2ed9c8fdbd940a19a564840462a0a9b10671772192a539ae357a540c","sha256:8723f108bf5089e820be70010e3ef8ee443c5005649a5f3bf7b01c669b770072"],"state_sha256":"fa348297ab79c139693a67ea96a03381b67ed3ab73ddb4c84ebf5227cee8ecab"}