{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZJPHNZPDGI65TQZRQG5LXSZCX4","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":"f82ea8d873854f66ba0999be16d3b594287e2a32f18082789c1169cf9267cc85","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-05-08T08:24:04Z","title_canon_sha256":"541d3fc62e51b2817f93daa66297a7f10c02507fce7bdd9edef3b4e8031b6d38"},"schema_version":"1.0","source":{"id":"1305.1742","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.1742","created_at":"2026-05-18T01:50:04Z"},{"alias_kind":"arxiv_version","alias_value":"1305.1742v1","created_at":"2026-05-18T01:50:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.1742","created_at":"2026-05-18T01:50:04Z"},{"alias_kind":"pith_short_12","alias_value":"ZJPHNZPDGI65","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZJPHNZPDGI65TQZR","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZJPHNZPD","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:86fb0dc6e0339ebd4299c8bddc9ed2a70591ea22c3e4f3df1baef59cad74f9c9","target":"graph","created_at":"2026-05-18T01:50:04Z","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 Kuramoto model constitutes a paradigmatic model for the dissipative collective dynamics of coupled oscillators, characterizing in particular the emergence of synchrony. Here we present a classical Hamiltonian (and thus conservative) system with 2N state variables that in its action-angle representation exactly yields Kuramoto dynamics on N-dimensional invariant manifolds. We show that the synchronization transition on a Kuramoto manifold emerges where the transverse Hamiltonian action dynamics becomes unstable. The uncovered Kuramoto dynamics in Hamiltonian systems thus distinctly links di","authors_text":"Dirk Witthaut, Marc Timme","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-05-08T08:24:04Z","title":"Kuramoto dynamics in Hamiltonian systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1742","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":"sha256:4fbc43b54efc74843e2f9a55dbf7f1283f7198cc3368a58e88058eca6581f96e","target":"record","created_at":"2026-05-18T01:50:04Z","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":"f82ea8d873854f66ba0999be16d3b594287e2a32f18082789c1169cf9267cc85","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-05-08T08:24:04Z","title_canon_sha256":"541d3fc62e51b2817f93daa66297a7f10c02507fce7bdd9edef3b4e8031b6d38"},"schema_version":"1.0","source":{"id":"1305.1742","kind":"arxiv","version":1}},"canonical_sha256":"ca5e76e5e3323dd9c33181babbcb22bf0fea039ae3eb7422790251e38710bdac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca5e76e5e3323dd9c33181babbcb22bf0fea039ae3eb7422790251e38710bdac","first_computed_at":"2026-05-18T01:50:04.834433Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:50:04.834433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RGXOdwUHRI5C93PTgQQpWhn9XyXUKHed/sg4MvwRZxwEiHzEbXK/w9a4K5FSAwRME0QfBh1xpGqbzy53S7crDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:50:04.835105Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.1742","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fbc43b54efc74843e2f9a55dbf7f1283f7198cc3368a58e88058eca6581f96e","sha256:86fb0dc6e0339ebd4299c8bddc9ed2a70591ea22c3e4f3df1baef59cad74f9c9"],"state_sha256":"805623df46787c4184c7fe886ed68ff903fc66e8875c5b2b7faa9f3e3ea6bc7f"}