{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:IDAR7LIO3XLHXIKIJGCPIXXXGY","short_pith_number":"pith:IDAR7LIO","schema_version":"1.0","canonical_sha256":"40c11fad0eddd67ba1484984f45ef736310062c6416d6c760e5dbd34ccf4fba5","source":{"kind":"arxiv","id":"1304.6545","version":1},"attestation_state":"computed","paper":{"title":"Variational formulations of sound-proof models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"C. J. Cotter, D. D. Holm","submitted_at":"2013-04-24T10:58:30Z","abstract_excerpt":"We derive a family of ideal (nondissipative) 3D sound-proof fluid models that includes both the Lipps-Hemler anelastic approximation (AA) and the Durran pseudo-incompressible approximation (PIA). This family of models arises in the Euler-Poincar\\'{e} framework involving a constrained Hamilton's principle expressed in the Eulerian fluid description. The derivation in this framework establishes the following properties of each member of the entire family: the Kelvin-Noether circulation theorem, conservation of potential vorticity on fluid parcels, a Lie-Poisson Hamiltonian formulation possessing"},"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":"1304.6545","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-04-24T10:58:30Z","cross_cats_sorted":["math-ph","math.MP","nlin.CD"],"title_canon_sha256":"1ed631460475130b8715d40dd8f3d4bd45a77ef4c18e4c5e71e043f4a7339b63","abstract_canon_sha256":"8d4334ba6aca1e0233f3434a2a9c9dfc59b058546e979d9e53114b54e892f1f8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:22.613231Z","signature_b64":"VeIUuseEUboMDaStSNpsEvkfpQv0UFQURb1ocNsgkInMzRiRmhR1afk+/4baAob4m9dQ5ue2tbBpzarhr37iDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40c11fad0eddd67ba1484984f45ef736310062c6416d6c760e5dbd34ccf4fba5","last_reissued_at":"2026-05-18T01:50:22.612653Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:22.612653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Variational formulations of sound-proof models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"C. J. Cotter, D. D. Holm","submitted_at":"2013-04-24T10:58:30Z","abstract_excerpt":"We derive a family of ideal (nondissipative) 3D sound-proof fluid models that includes both the Lipps-Hemler anelastic approximation (AA) and the Durran pseudo-incompressible approximation (PIA). This family of models arises in the Euler-Poincar\\'{e} framework involving a constrained Hamilton's principle expressed in the Eulerian fluid description. The derivation in this framework establishes the following properties of each member of the entire family: the Kelvin-Noether circulation theorem, conservation of potential vorticity on fluid parcels, a Lie-Poisson Hamiltonian formulation possessing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6545","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":"1304.6545","created_at":"2026-05-18T01:50:22.612753+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.6545v1","created_at":"2026-05-18T01:50:22.612753+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6545","created_at":"2026-05-18T01:50:22.612753+00:00"},{"alias_kind":"pith_short_12","alias_value":"IDAR7LIO3XLH","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"IDAR7LIO3XLHXIKI","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"IDAR7LIO","created_at":"2026-05-18T12:27:46.883200+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/IDAR7LIO3XLHXIKIJGCPIXXXGY","json":"https://pith.science/pith/IDAR7LIO3XLHXIKIJGCPIXXXGY.json","graph_json":"https://pith.science/api/pith-number/IDAR7LIO3XLHXIKIJGCPIXXXGY/graph.json","events_json":"https://pith.science/api/pith-number/IDAR7LIO3XLHXIKIJGCPIXXXGY/events.json","paper":"https://pith.science/paper/IDAR7LIO"},"agent_actions":{"view_html":"https://pith.science/pith/IDAR7LIO3XLHXIKIJGCPIXXXGY","download_json":"https://pith.science/pith/IDAR7LIO3XLHXIKIJGCPIXXXGY.json","view_paper":"https://pith.science/paper/IDAR7LIO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.6545&json=true","fetch_graph":"https://pith.science/api/pith-number/IDAR7LIO3XLHXIKIJGCPIXXXGY/graph.json","fetch_events":"https://pith.science/api/pith-number/IDAR7LIO3XLHXIKIJGCPIXXXGY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IDAR7LIO3XLHXIKIJGCPIXXXGY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IDAR7LIO3XLHXIKIJGCPIXXXGY/action/storage_attestation","attest_author":"https://pith.science/pith/IDAR7LIO3XLHXIKIJGCPIXXXGY/action/author_attestation","sign_citation":"https://pith.science/pith/IDAR7LIO3XLHXIKIJGCPIXXXGY/action/citation_signature","submit_replication":"https://pith.science/pith/IDAR7LIO3XLHXIKIJGCPIXXXGY/action/replication_record"}},"created_at":"2026-05-18T01:50:22.612753+00:00","updated_at":"2026-05-18T01:50:22.612753+00:00"}