{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:I3ZVGJOOAYAE24CGLLJIOHCVMA","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":"021531c322f1c3a8e5f3655a099242bf93699c71251906926c4ba9b5e6bbaf10","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-03-06T16:13:09Z","title_canon_sha256":"cd37341ff817d9515d75d0a1ddddc6d3c7fc67f5f3fdd2f2b2cf513ce2d059fa"},"schema_version":"1.0","source":{"id":"1503.02000","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.02000","created_at":"2026-05-18T01:34:41Z"},{"alias_kind":"arxiv_version","alias_value":"1503.02000v2","created_at":"2026-05-18T01:34:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02000","created_at":"2026-05-18T01:34:41Z"},{"alias_kind":"pith_short_12","alias_value":"I3ZVGJOOAYAE","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"I3ZVGJOOAYAE24CG","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"I3ZVGJOO","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:bd948a5c26e3ee97799d9fad8a839a00db918c112bfa6d462556a9fa62c68b90","target":"graph","created_at":"2026-05-18T01:34:41Z","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 study a dynamical counterpart of bifurcation to invariant torus for a system of interconnected fast phase variables and slowly varying parameters. We show that in such a system, due to the slow evolution of parameters, there arise transient processes from damping oscillations to multi-frequency ones, asymptotically close to motions on the invariant torus.","authors_text":"A. M. Samoilenko, B. V. Repeta, I. O. Parasyuk","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-03-06T16:13:09Z","title":"Dynamical bifurcation of multi-frequency oscillations in a fast-slow system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02000","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":"sha256:281112e369bd424217ae20f418956993d9092a2c0ef8da18992865b71a296d64","target":"record","created_at":"2026-05-18T01:34:41Z","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":"021531c322f1c3a8e5f3655a099242bf93699c71251906926c4ba9b5e6bbaf10","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-03-06T16:13:09Z","title_canon_sha256":"cd37341ff817d9515d75d0a1ddddc6d3c7fc67f5f3fdd2f2b2cf513ce2d059fa"},"schema_version":"1.0","source":{"id":"1503.02000","kind":"arxiv","version":2}},"canonical_sha256":"46f35325ce06004d70465ad2871c55602f4089813d556c0bf98cb012ed3c0894","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46f35325ce06004d70465ad2871c55602f4089813d556c0bf98cb012ed3c0894","first_computed_at":"2026-05-18T01:34:41.996542Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:41.996542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TtEJDEdHkcaeeLcldKKBYIoASO5vyX2zJHZ5IB5CUnvroDL0uGIk4Upnm0LJdWOOPQRes+0Q8ByKvTHF6lKbBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:41.997105Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.02000","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:281112e369bd424217ae20f418956993d9092a2c0ef8da18992865b71a296d64","sha256:bd948a5c26e3ee97799d9fad8a839a00db918c112bfa6d462556a9fa62c68b90"],"state_sha256":"f9b63aedfb97c18bba3f5f3f0a1f06b2beed8030bc5e471f893c087aa64ca3ae"}