{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:F2ZBG73KU7JPCY7MBZ7CZ4SCT4","short_pith_number":"pith:F2ZBG73K","schema_version":"1.0","canonical_sha256":"2eb2137f6aa7d2f163ec0e7e2cf2429f173adeeacc7c0e697cbfbfb01776e8f5","source":{"kind":"arxiv","id":"1611.02226","version":1},"attestation_state":"computed","paper":{"title":"Forecasting Fluid Flows Using the Geometry of Turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS","physics.flu-dyn"],"primary_cat":"nlin.CD","authors_text":"Balachandra Suri, Jeffrey Tithof, Michael F. Schatz, Roman O. Grigoriev","submitted_at":"2016-11-07T19:41:40Z","abstract_excerpt":"The existence and dynamical role of particular unstable Navier-Stokes solutions (exact coherent structures) is revealed in laboratory studies of weak turbulence in a thin, electromagnetically-driven fluid layer. We find that the dynamics exhibit clear signatures of numerous unstable equilibrium solutions, which are computed using a combination of flow measurements from the experiment and fully-resolved numerical simulations. We demonstrate the dynamical importance of these solutions by showing that turbulent flows visit their state space neighborhoods repeatedly. Furthermore, we find that the "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1611.02226","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2016-11-07T19:41:40Z","cross_cats_sorted":["nlin.PS","physics.flu-dyn"],"title_canon_sha256":"5a4f52d56f17ecf17c21b5f572e53eeeca86e72cf19aa36c0360011217bfe95a","abstract_canon_sha256":"685d4f1edeff56b3cc7c66b4234f22f2dc3f5a13c901a3bc93bca3d592f20c94"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:31.509885Z","signature_b64":"intY+2+enczghN8kLmQF3LPHc0wM55bggtR3Bb/WvsewKr64WQJQyM3n606WnA/tZ4MYD3kQKuawI8y/QG4KCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2eb2137f6aa7d2f163ec0e7e2cf2429f173adeeacc7c0e697cbfbfb01776e8f5","last_reissued_at":"2026-05-18T00:09:31.509221Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:31.509221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Forecasting Fluid Flows Using the Geometry of Turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS","physics.flu-dyn"],"primary_cat":"nlin.CD","authors_text":"Balachandra Suri, Jeffrey Tithof, Michael F. Schatz, Roman O. Grigoriev","submitted_at":"2016-11-07T19:41:40Z","abstract_excerpt":"The existence and dynamical role of particular unstable Navier-Stokes solutions (exact coherent structures) is revealed in laboratory studies of weak turbulence in a thin, electromagnetically-driven fluid layer. We find that the dynamics exhibit clear signatures of numerous unstable equilibrium solutions, which are computed using a combination of flow measurements from the experiment and fully-resolved numerical simulations. We demonstrate the dynamical importance of these solutions by showing that turbulent flows visit their state space neighborhoods repeatedly. Furthermore, we find that the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.02226","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1611.02226","created_at":"2026-05-18T00:09:31.509334+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.02226v1","created_at":"2026-05-18T00:09:31.509334+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.02226","created_at":"2026-05-18T00:09:31.509334+00:00"},{"alias_kind":"pith_short_12","alias_value":"F2ZBG73KU7JP","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"F2ZBG73KU7JPCY7M","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"F2ZBG73K","created_at":"2026-05-18T12:30:15.759754+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/F2ZBG73KU7JPCY7MBZ7CZ4SCT4","json":"https://pith.science/pith/F2ZBG73KU7JPCY7MBZ7CZ4SCT4.json","graph_json":"https://pith.science/api/pith-number/F2ZBG73KU7JPCY7MBZ7CZ4SCT4/graph.json","events_json":"https://pith.science/api/pith-number/F2ZBG73KU7JPCY7MBZ7CZ4SCT4/events.json","paper":"https://pith.science/paper/F2ZBG73K"},"agent_actions":{"view_html":"https://pith.science/pith/F2ZBG73KU7JPCY7MBZ7CZ4SCT4","download_json":"https://pith.science/pith/F2ZBG73KU7JPCY7MBZ7CZ4SCT4.json","view_paper":"https://pith.science/paper/F2ZBG73K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.02226&json=true","fetch_graph":"https://pith.science/api/pith-number/F2ZBG73KU7JPCY7MBZ7CZ4SCT4/graph.json","fetch_events":"https://pith.science/api/pith-number/F2ZBG73KU7JPCY7MBZ7CZ4SCT4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F2ZBG73KU7JPCY7MBZ7CZ4SCT4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F2ZBG73KU7JPCY7MBZ7CZ4SCT4/action/storage_attestation","attest_author":"https://pith.science/pith/F2ZBG73KU7JPCY7MBZ7CZ4SCT4/action/author_attestation","sign_citation":"https://pith.science/pith/F2ZBG73KU7JPCY7MBZ7CZ4SCT4/action/citation_signature","submit_replication":"https://pith.science/pith/F2ZBG73KU7JPCY7MBZ7CZ4SCT4/action/replication_record"}},"created_at":"2026-05-18T00:09:31.509334+00:00","updated_at":"2026-05-18T00:09:31.509334+00:00"}