{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OWV3LOEDLBUQ3JOJNVYJWZYXBD","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":"aa366be8e33b71283b5ee2936f880ef7d5ea69c5bd74a19dcdcf9000495cd630","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2018-10-02T14:21:07Z","title_canon_sha256":"b78a5134b89ba308659550db2f0818c0c96b7660d927bdd63a5b01f56ba5ae79"},"schema_version":"1.0","source":{"id":"1810.01281","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.01281","created_at":"2026-05-17T23:43:37Z"},{"alias_kind":"arxiv_version","alias_value":"1810.01281v1","created_at":"2026-05-17T23:43:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.01281","created_at":"2026-05-17T23:43:37Z"},{"alias_kind":"pith_short_12","alias_value":"OWV3LOEDLBUQ","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OWV3LOEDLBUQ3JOJ","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OWV3LOED","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:64e983b176e2d51fa466a4c909f9942ae038b85afcc7c06c2b15b09fe17576d2","target":"graph","created_at":"2026-05-17T23:43:37Z","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 analyze an intermediate collective regime where amplitude oscillators distribute themselves along a closed, smooth, time-dependent curve $\\mathcal{C}$, thereby maintaining the typical ordering of (identical) phase oscillators. This is achieved by developing a general formalism based on two partial differential equations, which describe the evolution of the probability density along $\\mathcal{C}$ and of the shape of $\\mathcal{C}$ itself. The formalism is specifically developed for Stuart-Landau oscillators, but it is general enough to be applied to other classes of amplitude oscillators. The","authors_text":"Antonio Politi, Pau Clusella","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2018-10-02T14:21:07Z","title":"From phase to amplitude oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.01281","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:f803185cd32c83556ac6dbe74cab5dcee4778ba400668dcef0ad9e3d60497114","target":"record","created_at":"2026-05-17T23:43:37Z","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":"aa366be8e33b71283b5ee2936f880ef7d5ea69c5bd74a19dcdcf9000495cd630","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2018-10-02T14:21:07Z","title_canon_sha256":"b78a5134b89ba308659550db2f0818c0c96b7660d927bdd63a5b01f56ba5ae79"},"schema_version":"1.0","source":{"id":"1810.01281","kind":"arxiv","version":1}},"canonical_sha256":"75abb5b88358690da5c96d709b671708e04f92e5d9238381562a95f8cdc65673","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75abb5b88358690da5c96d709b671708e04f92e5d9238381562a95f8cdc65673","first_computed_at":"2026-05-17T23:43:37.976698Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:37.976698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"omunmhucnDX90wImzPzgFdwnok6SdPXFq7V9rZsjOMhuEqe0R3begIe0rVvDz9QZoM6UySKEUWLHcwmaK9JgBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:37.977267Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.01281","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f803185cd32c83556ac6dbe74cab5dcee4778ba400668dcef0ad9e3d60497114","sha256:64e983b176e2d51fa466a4c909f9942ae038b85afcc7c06c2b15b09fe17576d2"],"state_sha256":"8d1ab8950f1418effb92d7be95eb516ae7e535245697b3f7bd59a7a01f47e2a4"}