{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:JFPF2RP7C5S3J7X5QRNERNJTBM","short_pith_number":"pith:JFPF2RP7","schema_version":"1.0","canonical_sha256":"495e5d45ff1765b4fefd845a48b5330b369b3ba34570c27738230a8c53b198b4","source":{"kind":"arxiv","id":"2006.09642","version":1},"attestation_state":"computed","paper":{"title":"Exact relations between Rayleigh-B\\'enard and rotating plane Couette flow in 2D","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Bruno Eckhardt, Charles R. Doering, Jared P. Whitehead","submitted_at":"2020-06-17T03:59:50Z","abstract_excerpt":"Rayleigh-B\\'enard convection (RBC) and Taylor-Couette Flow (TCF) are two paradigmatic fluid dynamical systems frequently discussed together because of their many similarities despite their different geometries and forcing. Often these analogies require approximations, but in the limit of large radii where TCF becomes rotating plane Couette flow (RPC) exact relations can be established. When the flows are restricted to two spatial degrees of freedom there is an exact specification that maps the three velocity components in RPC to the two velocity components and one temperature field in RBC. Usi"},"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":"2006.09642","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2020-06-17T03:59:50Z","cross_cats_sorted":[],"title_canon_sha256":"0539000c6950a9c559cd2da6ae679befe0520e9e9eabd7d701b03205fc37c391","abstract_canon_sha256":"88427bbc9e398770bcae615c65092db2ad506d9edf8d431035150369e049057c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:46:56.813739Z","signature_b64":"XBCQnNfDcBg8MG74HtksFRWKYN2Yd5LDR6FzQhF0f7kHIxk4/b4PIkGEKHyeEKL/scnX0Gg4mCB8Hue+tTHXBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"495e5d45ff1765b4fefd845a48b5330b369b3ba34570c27738230a8c53b198b4","last_reissued_at":"2026-07-05T01:46:56.813326Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:46:56.813326Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact relations between Rayleigh-B\\'enard and rotating plane Couette flow in 2D","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Bruno Eckhardt, Charles R. Doering, Jared P. Whitehead","submitted_at":"2020-06-17T03:59:50Z","abstract_excerpt":"Rayleigh-B\\'enard convection (RBC) and Taylor-Couette Flow (TCF) are two paradigmatic fluid dynamical systems frequently discussed together because of their many similarities despite their different geometries and forcing. Often these analogies require approximations, but in the limit of large radii where TCF becomes rotating plane Couette flow (RPC) exact relations can be established. When the flows are restricted to two spatial degrees of freedom there is an exact specification that maps the three velocity components in RPC to the two velocity components and one temperature field in RBC. Usi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.09642","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/2006.09642/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":"2006.09642","created_at":"2026-07-05T01:46:56.813384+00:00"},{"alias_kind":"arxiv_version","alias_value":"2006.09642v1","created_at":"2026-07-05T01:46:56.813384+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.09642","created_at":"2026-07-05T01:46:56.813384+00:00"},{"alias_kind":"pith_short_12","alias_value":"JFPF2RP7C5S3","created_at":"2026-07-05T01:46:56.813384+00:00"},{"alias_kind":"pith_short_16","alias_value":"JFPF2RP7C5S3J7X5","created_at":"2026-07-05T01:46:56.813384+00:00"},{"alias_kind":"pith_short_8","alias_value":"JFPF2RP7","created_at":"2026-07-05T01:46:56.813384+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/JFPF2RP7C5S3J7X5QRNERNJTBM","json":"https://pith.science/pith/JFPF2RP7C5S3J7X5QRNERNJTBM.json","graph_json":"https://pith.science/api/pith-number/JFPF2RP7C5S3J7X5QRNERNJTBM/graph.json","events_json":"https://pith.science/api/pith-number/JFPF2RP7C5S3J7X5QRNERNJTBM/events.json","paper":"https://pith.science/paper/JFPF2RP7"},"agent_actions":{"view_html":"https://pith.science/pith/JFPF2RP7C5S3J7X5QRNERNJTBM","download_json":"https://pith.science/pith/JFPF2RP7C5S3J7X5QRNERNJTBM.json","view_paper":"https://pith.science/paper/JFPF2RP7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2006.09642&json=true","fetch_graph":"https://pith.science/api/pith-number/JFPF2RP7C5S3J7X5QRNERNJTBM/graph.json","fetch_events":"https://pith.science/api/pith-number/JFPF2RP7C5S3J7X5QRNERNJTBM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JFPF2RP7C5S3J7X5QRNERNJTBM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JFPF2RP7C5S3J7X5QRNERNJTBM/action/storage_attestation","attest_author":"https://pith.science/pith/JFPF2RP7C5S3J7X5QRNERNJTBM/action/author_attestation","sign_citation":"https://pith.science/pith/JFPF2RP7C5S3J7X5QRNERNJTBM/action/citation_signature","submit_replication":"https://pith.science/pith/JFPF2RP7C5S3J7X5QRNERNJTBM/action/replication_record"}},"created_at":"2026-07-05T01:46:56.813384+00:00","updated_at":"2026-07-05T01:46:56.813384+00:00"}