{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KVLT6E3XTC4BX5UIBDDM6HCPRI","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":"fea03bcef8e2698f11167cf68e6a62b33afb4c8a2d09031e104fb594e3d94ae1","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-10-02T07:04:49Z","title_canon_sha256":"59015c5e97e6f25fc854220a34461c6ebb96235a9f4e6fed6a59dc34406a8908"},"schema_version":"1.0","source":{"id":"1310.0598","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.0598","created_at":"2026-05-18T02:52:12Z"},{"alias_kind":"arxiv_version","alias_value":"1310.0598v2","created_at":"2026-05-18T02:52:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.0598","created_at":"2026-05-18T02:52:12Z"},{"alias_kind":"pith_short_12","alias_value":"KVLT6E3XTC4B","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KVLT6E3XTC4BX5UI","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KVLT6E3X","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:d2ea7d72997184edf5b5f2e55e73613b5107c023e247abdf56b8a23828049694","target":"graph","created_at":"2026-05-18T02:52:12Z","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":"An interesting problem in synchronization is the study of coupled oscillators, wherein oscillators with different natural frequencies synchronize to a common frequency and equilibrium phase difference. In this paper, we investigate the stability and convergence in a network of coupled oscillators described by the Kuramoto model. We consider networks with finite number of oscillators, arbitrary interconnection topology, non-uniform coupling gains and non-identical natural frequencies. We show that such a network synchronizes provided the underlying graph is connected and certain conditions on t","authors_text":"Arun D. Mahindrakar, Somashekhar S. Hiremath, Vishaal Krishnan","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-10-02T07:04:49Z","title":"Synchronization and semistability analysis of the Kuramoto model of coupled nonlinear oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.0598","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":"sha256:26fe4ce0aed762c3b4434cb533c2409482b021cd182be3c5b31def7d7443ff80","target":"record","created_at":"2026-05-18T02:52:12Z","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":"fea03bcef8e2698f11167cf68e6a62b33afb4c8a2d09031e104fb594e3d94ae1","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-10-02T07:04:49Z","title_canon_sha256":"59015c5e97e6f25fc854220a34461c6ebb96235a9f4e6fed6a59dc34406a8908"},"schema_version":"1.0","source":{"id":"1310.0598","kind":"arxiv","version":2}},"canonical_sha256":"55573f137798b81bf68808c6cf1c4f8a20c8b70adc6975d5e0a03d5625e323d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55573f137798b81bf68808c6cf1c4f8a20c8b70adc6975d5e0a03d5625e323d3","first_computed_at":"2026-05-18T02:52:12.393989Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:12.393989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qhjvr7dFuE2WDR41/xX0aSeAoPWkFL3fiLWOAUZqlYfkey/c0vlIsNJxCCF9j4W3YQ09Swc+zzCr3bafJmn2DA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:12.394611Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.0598","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26fe4ce0aed762c3b4434cb533c2409482b021cd182be3c5b31def7d7443ff80","sha256:d2ea7d72997184edf5b5f2e55e73613b5107c023e247abdf56b8a23828049694"],"state_sha256":"2a3dd4129da9129f2d28525f6359c59d7b93016ce180846caffaf589b175e640"}