{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XFZFD4I6UFC6J7TFMQOZZDS5HJ","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":"9ad5e21892c8df235b004336c6ab2740cc68df757a8bb433c429990d86cc1825","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2014-03-22T21:38:58Z","title_canon_sha256":"afba13d5832b0062ccf96b16ed50138cd2d29f75c467b2b67206e84b962bd24c"},"schema_version":"1.0","source":{"id":"1403.5705","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.5705","created_at":"2026-05-18T02:46:39Z"},{"alias_kind":"arxiv_version","alias_value":"1403.5705v1","created_at":"2026-05-18T02:46:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.5705","created_at":"2026-05-18T02:46:39Z"},{"alias_kind":"pith_short_12","alias_value":"XFZFD4I6UFC6","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XFZFD4I6UFC6J7TF","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XFZFD4I6","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:8eb3a70e2434d5313ef6adee547f456aae6ababf98c570ee2fb255782587d259","target":"graph","created_at":"2026-05-18T02:46:39Z","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":"Low-dimensional behavior of large systems of globally coupled oscillators has been intensively investigated since the introduction of the Ott-Antonsen ansatz. In this report, we generalize the Ott-Antonsen ansatz to second-order Kuramoto models in complex networks. With an additional inertia term, we find a low-dimensional behavior similar to the first-order Kuramoto model, derive a self-consistent equation and seek the time-dependent derivation of the order parameter. Numerical simulations are also conducted to verify our analytical results.","authors_text":"Francisco A. Rodrigues, J\\\"urgen Kurths, Peng Ji, Thomas K.DM. Peron","cross_cats":["physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2014-03-22T21:38:58Z","title":"Low-dimensional behavior of Kuramoto model with inertia in complex networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5705","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:c473bbe0723ed0f0def8a7dc1755fd7d73f1f863407301357c44205414c19ee7","target":"record","created_at":"2026-05-18T02:46:39Z","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":"9ad5e21892c8df235b004336c6ab2740cc68df757a8bb433c429990d86cc1825","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2014-03-22T21:38:58Z","title_canon_sha256":"afba13d5832b0062ccf96b16ed50138cd2d29f75c467b2b67206e84b962bd24c"},"schema_version":"1.0","source":{"id":"1403.5705","kind":"arxiv","version":1}},"canonical_sha256":"b97251f11ea145e4fe65641d9c8e5d3a7071d27ecf334655c278b564a6794fd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b97251f11ea145e4fe65641d9c8e5d3a7071d27ecf334655c278b564a6794fd8","first_computed_at":"2026-05-18T02:46:39.108886Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:39.108886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kVvlJvXuk/9IcyKNVMvlluaRC6jcaK9SAKbKERbyXsZ0yzxl630UAIKByKmjtCmMOcwTRB42NaQ+L8UxDlKBAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:39.109308Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.5705","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c473bbe0723ed0f0def8a7dc1755fd7d73f1f863407301357c44205414c19ee7","sha256:8eb3a70e2434d5313ef6adee547f456aae6ababf98c570ee2fb255782587d259"],"state_sha256":"94aa50fa1b822d2349d1118cb1c96ea4da88977e92bdda98abe763612dfae8c6"}