{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WM5AFGYUKG6D6QZJKHVZ5ML3UB","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":"66f4b104f2d740b4f54ad29c4aa1dd248a25aca416bc59014627301ac8e075ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-02-12T08:36:04Z","title_canon_sha256":"dbe406e2019ed5cf8b18d3054872bae97f0e03e425f7183ee6c20d8d6c340b6c"},"schema_version":"1.0","source":{"id":"1502.03564","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03564","created_at":"2026-05-18T02:25:18Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03564v2","created_at":"2026-05-18T02:25:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03564","created_at":"2026-05-18T02:25:18Z"},{"alias_kind":"pith_short_12","alias_value":"WM5AFGYUKG6D","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WM5AFGYUKG6D6QZJ","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WM5AFGYU","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:59f6efe711c6c7ef2ef4ea8bdd4339fa5e63f82e5cf28cab535c2d228b800be2","target":"graph","created_at":"2026-05-18T02:25:18Z","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":"Synchronization of forced reactively coupled van der Pol oscillators is investigated in the phase approximation. We discuss essential features of the reactive coupling. Bifurcation mechanisms for the destruction of complete synchronization and possible quasi-periodic regimes of different types are revealed. Regimes when autonomous oscillators demonstrate frequency locking and beating regimes with incommensurate frequencies are considered and compared.","authors_text":"A.P. Kuznetsov, L.V. Turukina, N.Yu. Chernyshov, Yu.V. Sedova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-02-12T08:36:04Z","title":"Synchronization of forced reactively coupled van der Pol oscilators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03564","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":"sha256:8a1d30f5461412a417370b485664209d5e90b1e7bcb4ee7b3029cafb6d17653d","target":"record","created_at":"2026-05-18T02:25:18Z","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":"66f4b104f2d740b4f54ad29c4aa1dd248a25aca416bc59014627301ac8e075ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-02-12T08:36:04Z","title_canon_sha256":"dbe406e2019ed5cf8b18d3054872bae97f0e03e425f7183ee6c20d8d6c340b6c"},"schema_version":"1.0","source":{"id":"1502.03564","kind":"arxiv","version":2}},"canonical_sha256":"b33a029b1451bc3f432951eb9eb17ba041534cb083159512609fdc4679bc8453","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b33a029b1451bc3f432951eb9eb17ba041534cb083159512609fdc4679bc8453","first_computed_at":"2026-05-18T02:25:18.123794Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:18.123794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b9xH5MpI92DWm5nIVkt23DufM+07Mlf4KjD438kXCvHGEsjzRKQ/sWbWPfkRBwDeO/Xr54h/FSvfdet25w3aBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:18.124168Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.03564","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a1d30f5461412a417370b485664209d5e90b1e7bcb4ee7b3029cafb6d17653d","sha256:59f6efe711c6c7ef2ef4ea8bdd4339fa5e63f82e5cf28cab535c2d228b800be2"],"state_sha256":"d855061ef2581483ad93510d07166d231bfdc1b1e05022307a87813ef3d8b448"}