{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SGY5GC6HOGTFBM62SUZDMNHEDY","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":"448921a8c18d8a92a8ddce969cf2fd25e466c0d9247e320cd818699dc43e6a03","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2016-09-06T11:15:56Z","title_canon_sha256":"8c3660051c798721bfba3441e32e85ff7f03333274bc6abefe1960723b4359d5"},"schema_version":"1.0","source":{"id":"1609.01489","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.01489","created_at":"2026-05-18T00:51:46Z"},{"alias_kind":"arxiv_version","alias_value":"1609.01489v2","created_at":"2026-05-18T00:51:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01489","created_at":"2026-05-18T00:51:46Z"},{"alias_kind":"pith_short_12","alias_value":"SGY5GC6HOGTF","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SGY5GC6HOGTFBM62","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SGY5GC6H","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:33c94dbada7779f63bb8f4117ef4d6f85a9bea4b9be5e2cfaea49767b4e9ebef","target":"graph","created_at":"2026-05-18T00:51:46Z","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 transitions in the Kuramoto model by shedding light on asymmetry in the natural frequency distribution, which has been assumed to be symmetric in many previous studies. The asymmetry brings two nonstandard bifurcation diagrams, with the aid of bimodality. The first diagram consists of stationary states, and has the standard continuous synchronization transition and a subsequent discontinuous transition as the coupling strength increases. Such a bifurcation diagram has been also reported in a variant model, which breaks the odd symmetry of the coupling function by introducing the phase","authors_text":"Keigo Ito, Toshio Aoyagi, Yoshiyuki Y. Yamaguchi, Yu Terada","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2016-09-06T11:15:56Z","title":"Nonstandard transitions in the Kuramoto model: A role of asymmetry in natural frequency distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01489","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":"sha256:1051c835e0d98ea6424286fe0e9cc622561652447cf32f5bd286c41393d564c3","target":"record","created_at":"2026-05-18T00:51:46Z","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":"448921a8c18d8a92a8ddce969cf2fd25e466c0d9247e320cd818699dc43e6a03","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2016-09-06T11:15:56Z","title_canon_sha256":"8c3660051c798721bfba3441e32e85ff7f03333274bc6abefe1960723b4359d5"},"schema_version":"1.0","source":{"id":"1609.01489","kind":"arxiv","version":2}},"canonical_sha256":"91b1d30bc771a650b3da95323634e41e160bcb8d30171f9d69d5714bd56efff6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91b1d30bc771a650b3da95323634e41e160bcb8d30171f9d69d5714bd56efff6","first_computed_at":"2026-05-18T00:51:46.660334Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:46.660334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7FKxqI8h3VzlFAN3prYkFB9y0ND93fOnQwHEhUfv1KrVMrHJfT+j68D05/HXopH3iQI7WMxNzlbG1W4zw6Q0CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:46.660918Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.01489","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1051c835e0d98ea6424286fe0e9cc622561652447cf32f5bd286c41393d564c3","sha256:33c94dbada7779f63bb8f4117ef4d6f85a9bea4b9be5e2cfaea49767b4e9ebef"],"state_sha256":"fb8a9629ed52b305a6849efcabdb955bfd8362dcdf084794235ab8f668aa337c"}