{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WYCV6OHL3VIPZCQIN6KXXYITTA","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":"8d770d61ddefebe989674dc483bce94f778b9155db7dfacdcfe733c00ff35e48","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-01-26T16:14:57Z","title_canon_sha256":"e0e94110e704ec115fb9132114cf366012282ec533887cbe79c1e422cdca62c5"},"schema_version":"1.0","source":{"id":"1401.6664","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.6664","created_at":"2026-05-18T02:49:01Z"},{"alias_kind":"arxiv_version","alias_value":"1401.6664v3","created_at":"2026-05-18T02:49:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6664","created_at":"2026-05-18T02:49:01Z"},{"alias_kind":"pith_short_12","alias_value":"WYCV6OHL3VIP","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WYCV6OHL3VIPZCQI","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WYCV6OHL","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:efbd6848e79bc76d3b5dc84a2d7285b3b5e43343dce35cb40e581247684f867e","target":"graph","created_at":"2026-05-18T02:49:01Z","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 introduce a new concept of finite-time entropy which is a local version of the classical concept of metric entropy. Based on that, a finite-time version of Pesin's entropy formula and also an explicit formula of finite-time entropy for $2$-D systems are derived. We also discuss about how to apply the finite-time entropy field to detect special dynamical structures such as Lagrangian coherent structures.","authors_text":"Luu Hoang Duc, Stefan Siegmund","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-01-26T16:14:57Z","title":"A new concept of local metric entropy for finite-time nonautonomous dynamical systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6664","kind":"arxiv","version":3},"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":"sha256:34aeeaa5f2b9b5ff4c8c1abbafd52c3e397aef4c9b8c5cc3864421b78ec6f259","target":"record","created_at":"2026-05-18T02:49:01Z","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":"8d770d61ddefebe989674dc483bce94f778b9155db7dfacdcfe733c00ff35e48","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-01-26T16:14:57Z","title_canon_sha256":"e0e94110e704ec115fb9132114cf366012282ec533887cbe79c1e422cdca62c5"},"schema_version":"1.0","source":{"id":"1401.6664","kind":"arxiv","version":3}},"canonical_sha256":"b6055f38ebdd50fc8a086f957be113982de93178e5fd5081ce681620d5275297","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6055f38ebdd50fc8a086f957be113982de93178e5fd5081ce681620d5275297","first_computed_at":"2026-05-18T02:49:01.801415Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:01.801415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rNaXp84006LavsV2i1Cj4wmLHWYcrljTtDiE4UH/54+E8rGtLuAbZAIStWGc/nYsM2D2oEx7IGqW0CIZgL2XAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:01.802165Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.6664","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34aeeaa5f2b9b5ff4c8c1abbafd52c3e397aef4c9b8c5cc3864421b78ec6f259","sha256:efbd6848e79bc76d3b5dc84a2d7285b3b5e43343dce35cb40e581247684f867e"],"state_sha256":"2b9c4d4a9259d56277cb98f5753579e562f1124aa571b7b82fb72aac0341fc12"}