{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:G3FFEEF4CEYMDOOBDIE5FE7UMN","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":"d8e1adfcd61fff13264b5c8121393abd38bae6742144ee27769b61b5f12ff463","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2026-06-24T14:40:26Z","title_canon_sha256":"859abe07401c9f025eda7efea9ada8e04947e58dba870269603dbf6b587b4cd9"},"schema_version":"1.0","source":{"id":"2606.25892","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.25892","created_at":"2026-06-25T01:18:42Z"},{"alias_kind":"arxiv_version","alias_value":"2606.25892v1","created_at":"2026-06-25T01:18:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.25892","created_at":"2026-06-25T01:18:42Z"},{"alias_kind":"pith_short_12","alias_value":"G3FFEEF4CEYM","created_at":"2026-06-25T01:18:42Z"},{"alias_kind":"pith_short_16","alias_value":"G3FFEEF4CEYMDOOB","created_at":"2026-06-25T01:18:42Z"},{"alias_kind":"pith_short_8","alias_value":"G3FFEEF4","created_at":"2026-06-25T01:18:42Z"}],"graph_snapshots":[{"event_id":"sha256:f505fad0801941d9bc909584ad4dd622c216f143bd505c55f6de9bf7f864055a","target":"graph","created_at":"2026-06-25T01:18:42Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.25892/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Phase modeling provides a compact and powerful description of synchronization dynamics in weakly coupled limit-cycle oscillators, and is traditionally built on the asymptotic phase defined by isochrons. However, constructing isochrons is often impractical for data analysis and complex models. Here we develop an isochron-free framework based on a readily constructible generalized phase, such as the polar angle computed from observed trajectories. Although generalized-phase dynamics is not closed in continuous time because of amplitude-dependent effects, we show that under strong amplitude stabi","authors_text":"Akari Matsuki, Hiroshi Kori, Ryota Kobayashi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2026-06-24T14:40:26Z","title":"An Isochron-Free Framework for Phase Reduction and Coupling Inference"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.25892","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":"sha256:1ab91dffc2d7b6aaafeefceb2705de58b5e7fb21cdf2e6e21ee614e8cb9a9c36","target":"record","created_at":"2026-06-25T01:18:42Z","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":"d8e1adfcd61fff13264b5c8121393abd38bae6742144ee27769b61b5f12ff463","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2026-06-24T14:40:26Z","title_canon_sha256":"859abe07401c9f025eda7efea9ada8e04947e58dba870269603dbf6b587b4cd9"},"schema_version":"1.0","source":{"id":"2606.25892","kind":"arxiv","version":1}},"canonical_sha256":"36ca5210bc1130c1b9c11a09d293f46360ff786a9d8ed210454d42d7c03fa9b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36ca5210bc1130c1b9c11a09d293f46360ff786a9d8ed210454d42d7c03fa9b2","first_computed_at":"2026-06-25T01:18:42.484468Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-25T01:18:42.484468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4mESjNnmIWomhA2Wmi3ZnD7H3pPh2CrBmNu/bM2phl1t1m0NGoM4XFA4sVM60oVprlpRGU1Ry5lOA1Nq4J43BQ==","signature_status":"signed_v1","signed_at":"2026-06-25T01:18:42.484813Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.25892","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ab91dffc2d7b6aaafeefceb2705de58b5e7fb21cdf2e6e21ee614e8cb9a9c36","sha256:f505fad0801941d9bc909584ad4dd622c216f143bd505c55f6de9bf7f864055a"],"state_sha256":"1fb664ed15d6cc3a6e30f8095b91af0e3ce6f87c0659f56fc664b44f5fca3475"}