{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EFCNMCY3S3WTUTTOQMCSYT6UXO","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":"f0c8d5cdd1dce883e64a0758592f07728be9a83018952125a793b88514d60bcf","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-06-06T21:31:12Z","title_canon_sha256":"6f460c96d12bfaddc9a2ea13afc85c5c165ebbce2b548de3b84dffa85c78821b"},"schema_version":"1.0","source":{"id":"1406.1820","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.1820","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"arxiv_version","alias_value":"1406.1820v2","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1820","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"pith_short_12","alias_value":"EFCNMCY3S3WT","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"EFCNMCY3S3WTUTTO","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"EFCNMCY3","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:153f95cf4bb1084acae7a70562dab0e0f25abf72c90d8bc20374fa1aae645e56","target":"graph","created_at":"2026-05-18T01:43:01Z","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":"Motivated by recent success in the dynamical systems approach to transitional flow, we study the efficiency and effectiveness of extracting simple invariant sets (recurrent flows) directly from chaotic/turbulent flows and the potential of these sets for providing predictions of certain statistics of the flow. Two-dimensional Kolmogorov flow (the 2D Navier-Stokes equations with a sinusoidal body force) is studied both over a square [0, 2{\\pi}]2 torus and a rectangular torus extended in the forcing direction. In the former case, an order of magnitude more recurrent flows are found than previousl","authors_text":"Dan Lucas, Rich Kerswell","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-06-06T21:31:12Z","title":"Recurrent flow analysis in spatiotemporally chaotic 2-dimensional Kolmogorov flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1820","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:a677a4a6900243f8ff36122e4ce29946a1ab67494cf564b6413707fc78605c0f","target":"record","created_at":"2026-05-18T01:43:01Z","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":"f0c8d5cdd1dce883e64a0758592f07728be9a83018952125a793b88514d60bcf","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-06-06T21:31:12Z","title_canon_sha256":"6f460c96d12bfaddc9a2ea13afc85c5c165ebbce2b548de3b84dffa85c78821b"},"schema_version":"1.0","source":{"id":"1406.1820","kind":"arxiv","version":2}},"canonical_sha256":"2144d60b1b96ed3a4e6e83052c4fd4bb8622ae59f95ad91fedc8377dca766f35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2144d60b1b96ed3a4e6e83052c4fd4bb8622ae59f95ad91fedc8377dca766f35","first_computed_at":"2026-05-18T01:43:01.446948Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:01.446948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SVBKlhodRoxkPcqNlIZDiYn7m/RSUZTt+1z2lipYz3xo33LeUpfxfYD/CuqiWXKEriBptfkedj99x3tAFwmMAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:01.447380Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.1820","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a677a4a6900243f8ff36122e4ce29946a1ab67494cf564b6413707fc78605c0f","sha256:153f95cf4bb1084acae7a70562dab0e0f25abf72c90d8bc20374fa1aae645e56"],"state_sha256":"a1226348c751c9534ac5ba338d1a158522c73b450626579e6c18d1110f534ef1"}