{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4NHZVSQO24FHOY5IBMOCYD3SGL","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":"57321f8ce15dd3eeaa623e4eb491e62518853d1ffc23b7126ff9f7ba02fa77df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-06-03T15:25:57Z","title_canon_sha256":"a8409603be2c76c926ec8cab6993a208d4d326835288ee58bf06a9f3da6d59f3"},"schema_version":"1.0","source":{"id":"1606.01137","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.01137","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"arxiv_version","alias_value":"1606.01137v2","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.01137","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"pith_short_12","alias_value":"4NHZVSQO24FH","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4NHZVSQO24FHOY5I","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4NHZVSQO","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:7f296de15729495035583c5563825054cd4504c1c168a8ee4f16af15ecc81d28","target":"graph","created_at":"2026-05-17T23:53:52Z","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 establish the existence of a bifurcation from an attractive random equilibrium to shear-induced chaos for a stochastically driven limit cycle, indicated by a change of sign of the first Lyapunov exponent. This addresses an open problem posed by Kevin Lin and Lai-Sang Young, extending results by Qiudong Wang and Lai-Sang Young on periodically kicked limit cycles to the stochastic context.","authors_text":"Jeroen S.W. Lamb, Martin Rasmussen, Maximilian Engel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-06-03T15:25:57Z","title":"Bifurcation Analysis of a Stochastically Driven Limit Cycle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.01137","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":"sha256:451c38d7ef5647d1d83444e2ba79e9c3e3b5dcac2615147a68966697bb45d46a","target":"record","created_at":"2026-05-17T23:53:52Z","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":"57321f8ce15dd3eeaa623e4eb491e62518853d1ffc23b7126ff9f7ba02fa77df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-06-03T15:25:57Z","title_canon_sha256":"a8409603be2c76c926ec8cab6993a208d4d326835288ee58bf06a9f3da6d59f3"},"schema_version":"1.0","source":{"id":"1606.01137","kind":"arxiv","version":2}},"canonical_sha256":"e34f9aca0ed70a7763a80b1c2c0f7232e7c61cdcf9fde5397d8bfac048df599e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e34f9aca0ed70a7763a80b1c2c0f7232e7c61cdcf9fde5397d8bfac048df599e","first_computed_at":"2026-05-17T23:53:52.555715Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:52.555715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m+5pRDZsuP+DrdrPLM/1NjHq2xWBhiFDZ4Oh8D7aGtah5A3hlGkjOMvI3xQeY0adO7j7hQ2jGKpICfjdLhyXCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:52.556437Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.01137","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:451c38d7ef5647d1d83444e2ba79e9c3e3b5dcac2615147a68966697bb45d46a","sha256:7f296de15729495035583c5563825054cd4504c1c168a8ee4f16af15ecc81d28"],"state_sha256":"0e6b9015a4b266417dd951e9f2b3b440884cc60e96656dd0b65d8b878fd620f8"}