{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:DKSO5R57C73NWRTXRM3Y4752G3","short_pith_number":"pith:DKSO5R57","schema_version":"1.0","canonical_sha256":"1aa4eec7bf17f6db46778b378e7fba36fc83db6a9fc882574dce9bfc7de3fd90","source":{"kind":"arxiv","id":"1206.3414","version":2},"attestation_state":"computed","paper":{"title":"Quasi-conservation laws for compressible 3D Navier-Stokes flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"nlin.CD","authors_text":"D. D. Holm, J. D. Gibbon","submitted_at":"2012-06-15T10:15:21Z","abstract_excerpt":"We formulate the quasi-Lagrangian fluid transport dynamics of mass density $\\rho$ and the projection $q=\\bom\\cdot\\nabla\\rho$ of the vorticity $\\bom$ onto the density gradient, as determined by the 3D compressible Navier-Stokes equations for an ideal gas, although the results apply for an arbitrary equation of state. It turns out that the quasi-Lagrangian transport of $q$ cannot cross a level set of $\\rho$. That is, in this formulation, level sets of $\\rho$ (isopychnals) are impermeable to the transport of the projection $q$."},"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":"1206.3414","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-06-15T10:15:21Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"bc2b6da84634e25138e49bae2444569862ca5c3dbe0beddf9f7c82150d6492b5","abstract_canon_sha256":"50499d94349771e605e21d24723d6fc1dcb6343fcd2553a0dccfdf1ec732bdfd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:56:52.724803Z","signature_b64":"CtFYOxMFUqRC6L4sux+pv5aBiVfEIW3ex01B8VvKfB5YdC3b1UwFeyQoHLG24PK6Vr9pzuXnjrjhDmS3r5pYCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1aa4eec7bf17f6db46778b378e7fba36fc83db6a9fc882574dce9bfc7de3fd90","last_reissued_at":"2026-05-18T01:56:52.724192Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:56:52.724192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasi-conservation laws for compressible 3D Navier-Stokes flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"nlin.CD","authors_text":"D. D. Holm, J. D. Gibbon","submitted_at":"2012-06-15T10:15:21Z","abstract_excerpt":"We formulate the quasi-Lagrangian fluid transport dynamics of mass density $\\rho$ and the projection $q=\\bom\\cdot\\nabla\\rho$ of the vorticity $\\bom$ onto the density gradient, as determined by the 3D compressible Navier-Stokes equations for an ideal gas, although the results apply for an arbitrary equation of state. It turns out that the quasi-Lagrangian transport of $q$ cannot cross a level set of $\\rho$. That is, in this formulation, level sets of $\\rho$ (isopychnals) are impermeable to the transport of the projection $q$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.3414","kind":"arxiv","version":2},"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":"1206.3414","created_at":"2026-05-18T01:56:52.724278+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.3414v2","created_at":"2026-05-18T01:56:52.724278+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.3414","created_at":"2026-05-18T01:56:52.724278+00:00"},{"alias_kind":"pith_short_12","alias_value":"DKSO5R57C73N","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"DKSO5R57C73NWRTX","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"DKSO5R57","created_at":"2026-05-18T12:27:04.183437+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/DKSO5R57C73NWRTXRM3Y4752G3","json":"https://pith.science/pith/DKSO5R57C73NWRTXRM3Y4752G3.json","graph_json":"https://pith.science/api/pith-number/DKSO5R57C73NWRTXRM3Y4752G3/graph.json","events_json":"https://pith.science/api/pith-number/DKSO5R57C73NWRTXRM3Y4752G3/events.json","paper":"https://pith.science/paper/DKSO5R57"},"agent_actions":{"view_html":"https://pith.science/pith/DKSO5R57C73NWRTXRM3Y4752G3","download_json":"https://pith.science/pith/DKSO5R57C73NWRTXRM3Y4752G3.json","view_paper":"https://pith.science/paper/DKSO5R57","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.3414&json=true","fetch_graph":"https://pith.science/api/pith-number/DKSO5R57C73NWRTXRM3Y4752G3/graph.json","fetch_events":"https://pith.science/api/pith-number/DKSO5R57C73NWRTXRM3Y4752G3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DKSO5R57C73NWRTXRM3Y4752G3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DKSO5R57C73NWRTXRM3Y4752G3/action/storage_attestation","attest_author":"https://pith.science/pith/DKSO5R57C73NWRTXRM3Y4752G3/action/author_attestation","sign_citation":"https://pith.science/pith/DKSO5R57C73NWRTXRM3Y4752G3/action/citation_signature","submit_replication":"https://pith.science/pith/DKSO5R57C73NWRTXRM3Y4752G3/action/replication_record"}},"created_at":"2026-05-18T01:56:52.724278+00:00","updated_at":"2026-05-18T01:56:52.724278+00:00"}