{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VCEXOTLJPXSKAKEOMSGC7G6BKB","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":"82ac9960cc03d232267defa2a6b6a7926199d0fb82f94681148707a7a1257ee7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-02-10T13:16:09Z","title_canon_sha256":"2d122c018fad37a4674b299b7641095c4af307dab4c5ae4001dcebe8677b1ed7"},"schema_version":"1.0","source":{"id":"1102.2105","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.2105","created_at":"2026-05-18T04:29:34Z"},{"alias_kind":"arxiv_version","alias_value":"1102.2105v1","created_at":"2026-05-18T04:29:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.2105","created_at":"2026-05-18T04:29:34Z"},{"alias_kind":"pith_short_12","alias_value":"VCEXOTLJPXSK","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"VCEXOTLJPXSKAKEO","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"VCEXOTLJ","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:99ca192ebc6beb8dcd670da8603d603b41d13fbbe2c767440546336f8f24f21f","target":"graph","created_at":"2026-05-18T04:29:34Z","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":"Lagrangian coherent structures are effective barriers, sticky regions, that separate phase space regions of different dynamical behavior. The usual way to detect such structures is via finite-time Lyapunov exponents. We show that similar results can be obtained for single-frequency systems from finite-time rotation numbers, which are much faster to compute. We illustrate our claim by considering examples of continuous and discrete-time dynamical systems of physical interest.","authors_text":"A. B. Schelin, I. L. Caldas, J. D. Szezech Jr., P. J. Morrison, R. L. Viana, S. R. Lopes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-02-10T13:16:09Z","title":"Finite-time rotation number: a fast indicator for chaotic dynamical structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.2105","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":"sha256:35ca3b9a7d947b0149ea93791482041742d4642295b59294f41bbc7e845474c3","target":"record","created_at":"2026-05-18T04:29:34Z","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":"82ac9960cc03d232267defa2a6b6a7926199d0fb82f94681148707a7a1257ee7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-02-10T13:16:09Z","title_canon_sha256":"2d122c018fad37a4674b299b7641095c4af307dab4c5ae4001dcebe8677b1ed7"},"schema_version":"1.0","source":{"id":"1102.2105","kind":"arxiv","version":1}},"canonical_sha256":"a889774d697de4a0288e648c2f9bc150447fbc85404fa388fbff8df6e25b543c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a889774d697de4a0288e648c2f9bc150447fbc85404fa388fbff8df6e25b543c","first_computed_at":"2026-05-18T04:29:34.238260Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:29:34.238260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mTrg14BghllKBQ9pDiZzhmXaTA45G6PNK/wk24I3WUAiODcgsWofY2gnqRgR1TLbehvA3h5k7hfkAOsn0EJlAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:29:34.238911Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.2105","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35ca3b9a7d947b0149ea93791482041742d4642295b59294f41bbc7e845474c3","sha256:99ca192ebc6beb8dcd670da8603d603b41d13fbbe2c767440546336f8f24f21f"],"state_sha256":"b5bf9dedbe5f4a1de38932abb360f9432c8ec9f8ff9eea81d79fcfbefdab6bd9"}