{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:NRHCUVO7PCMKARYQGT5YI6MVBK","short_pith_number":"pith:NRHCUVO7","schema_version":"1.0","canonical_sha256":"6c4e2a55df7898a0471034fb8479950a943f453c6d283bdcf296a94b4d520ff6","source":{"kind":"arxiv","id":"2309.12754","version":1},"attestation_state":"computed","paper":{"title":"Exact coherent structures in two-dimensional turbulence identified with convolutional autoencoders","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Jacob Page, Joe Holey, Michael P. Brenner, Rich R. Kerswell","submitted_at":"2023-09-22T09:53:54Z","abstract_excerpt":"Convolutional autoencoders are used to deconstruct the changing dynamics of two-dimensional Kolmogorov flow as $Re$ is increased from weakly chaotic flow at $Re=40$ to a chaotic state dominated by a domain-filling vortex pair at $Re=400$. The highly accurate embeddings allow us to visualise the evolving structure of state space and are interpretable using `latent Fourier analysis' (Page {\\em et. al.}, \\emph{Phys. Rev. Fluids} \\textbf{6}, 2021). Individual latent Fourier modes decode into vortical structures with a streamwise lengthscale controlled by the latent wavenumber, $l$, with only a sma"},"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":"2309.12754","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2023-09-22T09:53:54Z","cross_cats_sorted":[],"title_canon_sha256":"a37d31eb2c069d4bb08c066a5ebacfa6e758885b34302d66889ebaab2f63a8f8","abstract_canon_sha256":"b72af38232ba7d2cb9249d7af67871b14696fc19d22f046a345b328b9c5e8a55"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:37:32.882308Z","signature_b64":"E1rqaTyH3eJdZlAssIiPQUgAiRpruQzhfzk3zRX4aQ8DbCDk43pD5sxKhUw37vY4t6IZp18AKbKUzLTIYofeAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c4e2a55df7898a0471034fb8479950a943f453c6d283bdcf296a94b4d520ff6","last_reissued_at":"2026-07-05T09:37:32.881886Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:37:32.881886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact coherent structures in two-dimensional turbulence identified with convolutional autoencoders","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Jacob Page, Joe Holey, Michael P. Brenner, Rich R. Kerswell","submitted_at":"2023-09-22T09:53:54Z","abstract_excerpt":"Convolutional autoencoders are used to deconstruct the changing dynamics of two-dimensional Kolmogorov flow as $Re$ is increased from weakly chaotic flow at $Re=40$ to a chaotic state dominated by a domain-filling vortex pair at $Re=400$. The highly accurate embeddings allow us to visualise the evolving structure of state space and are interpretable using `latent Fourier analysis' (Page {\\em et. al.}, \\emph{Phys. Rev. Fluids} \\textbf{6}, 2021). Individual latent Fourier modes decode into vortical structures with a streamwise lengthscale controlled by the latent wavenumber, $l$, with only a sma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.12754","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2309.12754/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2309.12754","created_at":"2026-07-05T09:37:32.881940+00:00"},{"alias_kind":"arxiv_version","alias_value":"2309.12754v1","created_at":"2026-07-05T09:37:32.881940+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.12754","created_at":"2026-07-05T09:37:32.881940+00:00"},{"alias_kind":"pith_short_12","alias_value":"NRHCUVO7PCMK","created_at":"2026-07-05T09:37:32.881940+00:00"},{"alias_kind":"pith_short_16","alias_value":"NRHCUVO7PCMKARYQ","created_at":"2026-07-05T09:37:32.881940+00:00"},{"alias_kind":"pith_short_8","alias_value":"NRHCUVO7","created_at":"2026-07-05T09:37:32.881940+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/NRHCUVO7PCMKARYQGT5YI6MVBK","json":"https://pith.science/pith/NRHCUVO7PCMKARYQGT5YI6MVBK.json","graph_json":"https://pith.science/api/pith-number/NRHCUVO7PCMKARYQGT5YI6MVBK/graph.json","events_json":"https://pith.science/api/pith-number/NRHCUVO7PCMKARYQGT5YI6MVBK/events.json","paper":"https://pith.science/paper/NRHCUVO7"},"agent_actions":{"view_html":"https://pith.science/pith/NRHCUVO7PCMKARYQGT5YI6MVBK","download_json":"https://pith.science/pith/NRHCUVO7PCMKARYQGT5YI6MVBK.json","view_paper":"https://pith.science/paper/NRHCUVO7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2309.12754&json=true","fetch_graph":"https://pith.science/api/pith-number/NRHCUVO7PCMKARYQGT5YI6MVBK/graph.json","fetch_events":"https://pith.science/api/pith-number/NRHCUVO7PCMKARYQGT5YI6MVBK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NRHCUVO7PCMKARYQGT5YI6MVBK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NRHCUVO7PCMKARYQGT5YI6MVBK/action/storage_attestation","attest_author":"https://pith.science/pith/NRHCUVO7PCMKARYQGT5YI6MVBK/action/author_attestation","sign_citation":"https://pith.science/pith/NRHCUVO7PCMKARYQGT5YI6MVBK/action/citation_signature","submit_replication":"https://pith.science/pith/NRHCUVO7PCMKARYQGT5YI6MVBK/action/replication_record"}},"created_at":"2026-07-05T09:37:32.881940+00:00","updated_at":"2026-07-05T09:37:32.881940+00:00"}