{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:5W63CCSWMSN44ZET7QD3M45QT6","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":"c03779f81276d6b0d16889d1c013bf639b5d2973eb9a72739bf5c2ba9bcaad71","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-08-10T01:23:03Z","title_canon_sha256":"28a8a5faa4510b8e3f72dede1d2a4c96f7c058c118c96ee57d44c38625aa4338"},"schema_version":"1.0","source":{"id":"1008.1613","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.1613","created_at":"2026-05-18T02:05:50Z"},{"alias_kind":"arxiv_version","alias_value":"1008.1613v1","created_at":"2026-05-18T02:05:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.1613","created_at":"2026-05-18T02:05:50Z"},{"alias_kind":"pith_short_12","alias_value":"5W63CCSWMSN4","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5W63CCSWMSN44ZET","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5W63CCSW","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:b6f7b523e3e023f79152b7ac5032c9e6322a781e1594a70d73051d188d10ac3f","target":"graph","created_at":"2026-05-18T02:05:50Z","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 the transport properties of nonautonomous chaotic dynamical systems over a finite time duration. We are particularly interested in those regions that remain coherent and relatively non-dispersive over finite periods of time, despite the chaotic nature of the system. We develop a novel probabilistic methodology based upon transfer operators that automatically detects maximally coherent sets. The approach is very simple to implement, requiring only singular vector computations of a matrix of transitions induced by the dynamics. We illustrate our new methodology on an idealized stratosph","authors_text":"Adam Monahan, Gary Froyland, Naratip Santitissadeekorn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-08-10T01:23:03Z","title":"Transport in time-dependent dynamical systems: Finite-time coherent sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.1613","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":"sha256:333a43585329fa1527a1538084ae76d9a96fc411114a4cccc426afa05e2efd54","target":"record","created_at":"2026-05-18T02:05:50Z","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":"c03779f81276d6b0d16889d1c013bf639b5d2973eb9a72739bf5c2ba9bcaad71","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-08-10T01:23:03Z","title_canon_sha256":"28a8a5faa4510b8e3f72dede1d2a4c96f7c058c118c96ee57d44c38625aa4338"},"schema_version":"1.0","source":{"id":"1008.1613","kind":"arxiv","version":1}},"canonical_sha256":"edbdb10a56649bce6493fc07b673b09faf508e554b7e9097d724c4f3761949dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"edbdb10a56649bce6493fc07b673b09faf508e554b7e9097d724c4f3761949dd","first_computed_at":"2026-05-18T02:05:50.007870Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:50.007870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VAXNrxu3RqoaJLtGwgWgsxbGLNEVY7um4q4spH8V2V+ngHf75p6TnrbLqRG6RA7LxchF+c8rVS7eAdQz2ciVBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:50.008537Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.1613","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:333a43585329fa1527a1538084ae76d9a96fc411114a4cccc426afa05e2efd54","sha256:b6f7b523e3e023f79152b7ac5032c9e6322a781e1594a70d73051d188d10ac3f"],"state_sha256":"665639ec131873fbfae8c8080c2e1e23b93784f2b2599823c6931ba46983e308"}