{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AN2WBGZLEJ5BIPHBP7B5RPO2RK","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":"b14760e28ab1e0388de2c4612abb7f096ca67d4624fda274c45db66ccbf3f40a","cross_cats_sorted":["cond-mat.dis-nn","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-04T00:04:50Z","title_canon_sha256":"0c01f963fd9a04b2fe1e5111dae825884747e1875b7e6b38f9b480b7fa3808cd"},"schema_version":"1.0","source":{"id":"1505.00497","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00497","created_at":"2026-05-18T01:41:45Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00497v2","created_at":"2026-05-18T01:41:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00497","created_at":"2026-05-18T01:41:45Z"},{"alias_kind":"pith_short_12","alias_value":"AN2WBGZLEJ5B","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AN2WBGZLEJ5BIPHB","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AN2WBGZL","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:bef7c263187673a214eec51720c70baccbe18095c5615a20fc4ba4b79a31a103","target":"graph","created_at":"2026-05-18T01:41:45Z","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":"The aim of the paper is to address the long time behavior of the Kuramoto model of mean-field coupled phase rotators, subject to white noise and quenched frequencies. We analyse the influence of the fluctuations of both thermal noise and frequencies (seen as a disorder) on a large but finite population of $N$ rotators, in the case where the law of the disorder is symmetric. On a finite time scale $[0, T]$, the system is known to be self-averaging: the empirical measure of the system converges as $N\\to \\infty$ to the deterministic solution of a nonlinear Fokker-Planck equation which exhibits a ","authors_text":"Christophe Poquet, Eric Lu\\c{c}on","cross_cats":["cond-mat.dis-nn","nlin.AO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-04T00:04:50Z","title":"Long time dynamics and disorder-induced traveling waves in the stochastic Kuramoto model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00497","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:d0a8bb06f8cb040f6aa982f825a5c0a61963987c64af9961c75b346154628aad","target":"record","created_at":"2026-05-18T01:41:45Z","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":"b14760e28ab1e0388de2c4612abb7f096ca67d4624fda274c45db66ccbf3f40a","cross_cats_sorted":["cond-mat.dis-nn","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-04T00:04:50Z","title_canon_sha256":"0c01f963fd9a04b2fe1e5111dae825884747e1875b7e6b38f9b480b7fa3808cd"},"schema_version":"1.0","source":{"id":"1505.00497","kind":"arxiv","version":2}},"canonical_sha256":"0375609b2b227a143ce17fc3d8bdda8a85af494f9b44dd2d8762643e20eb4aa0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0375609b2b227a143ce17fc3d8bdda8a85af494f9b44dd2d8762643e20eb4aa0","first_computed_at":"2026-05-18T01:41:45.988326Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:45.988326Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f0Y33lsH6yrpRwceKU/khce0IveKifdpMdYQjHw3nWrq0WPmGbAJTLHh8NXwqO5HJ7mLk8KkCyoNhlxDwL9NAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:45.988718Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.00497","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0a8bb06f8cb040f6aa982f825a5c0a61963987c64af9961c75b346154628aad","sha256:bef7c263187673a214eec51720c70baccbe18095c5615a20fc4ba4b79a31a103"],"state_sha256":"e7a257a71ec747083c2f41f7af424374643616296414f09112934bc5fbb91134"}