{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:ZLAI7TCCRXMOEFT3WKBBK75UMB","short_pith_number":"pith:ZLAI7TCC","schema_version":"1.0","canonical_sha256":"cac08fcc428dd8e2167bb282157fb46063ce461486f2fad3f7573c04a8d264b4","source":{"kind":"arxiv","id":"2309.12077","version":3},"attestation_state":"computed","paper":{"title":"Stochastic compressible Navier-Stokes equations under location uncertainty and their approximations for ocean modelling","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"\\'Etienne M\\'emin, Gilles Tissot, Quentin Jamet","submitted_at":"2023-09-21T13:47:31Z","abstract_excerpt":"This paper presents a joint theoretical and numerical study of a stochastic version of the compressible Navier-Stokes equations within the location uncertainty (LU) framework, applied to problems related to upper ocean vertical mixing. This approach builds on an extended stochastic form of the Reynolds transport theorem, incorporating stochastic source terms. As in the deterministic case, this conservation theorem is applied to mass, mass of species (such as salinity), momentum, and total energy, leading to transport equations for the primitive variables: density, mass fraction of species, vel"},"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":"2309.12077","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2023-09-21T13:47:31Z","cross_cats_sorted":[],"title_canon_sha256":"11eabdfeba6d5e179b491c40020327c7bd2110c7dc95449224ec36b641d38933","abstract_canon_sha256":"75c9382cc06e3874aea4df59770e706d161b051e0914045c5e6234d01e8be9a4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T01:03:38.860944Z","signature_b64":"NwivjNt2WZhTclrADsPBoU+lPfHNknTWs4LGpe5d7kyzQoXbMdlP9OGBVq0wubVFyZH0CTfwhlDbFH/Dss7eDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cac08fcc428dd8e2167bb282157fb46063ce461486f2fad3f7573c04a8d264b4","last_reissued_at":"2026-05-22T01:03:38.860283Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T01:03:38.860283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic compressible Navier-Stokes equations under location uncertainty and their approximations for ocean modelling","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"\\'Etienne M\\'emin, Gilles Tissot, Quentin Jamet","submitted_at":"2023-09-21T13:47:31Z","abstract_excerpt":"This paper presents a joint theoretical and numerical study of a stochastic version of the compressible Navier-Stokes equations within the location uncertainty (LU) framework, applied to problems related to upper ocean vertical mixing. This approach builds on an extended stochastic form of the Reynolds transport theorem, incorporating stochastic source terms. As in the deterministic case, this conservation theorem is applied to mass, mass of species (such as salinity), momentum, and total energy, leading to transport equations for the primitive variables: density, mass fraction of species, vel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.12077","kind":"arxiv","version":3},"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/2309.12077/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":"2309.12077","created_at":"2026-05-22T01:03:38.860403+00:00"},{"alias_kind":"arxiv_version","alias_value":"2309.12077v3","created_at":"2026-05-22T01:03:38.860403+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.12077","created_at":"2026-05-22T01:03:38.860403+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZLAI7TCCRXMO","created_at":"2026-05-22T01:03:38.860403+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZLAI7TCCRXMOEFT3","created_at":"2026-05-22T01:03:38.860403+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZLAI7TCC","created_at":"2026-05-22T01:03:38.860403+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/ZLAI7TCCRXMOEFT3WKBBK75UMB","json":"https://pith.science/pith/ZLAI7TCCRXMOEFT3WKBBK75UMB.json","graph_json":"https://pith.science/api/pith-number/ZLAI7TCCRXMOEFT3WKBBK75UMB/graph.json","events_json":"https://pith.science/api/pith-number/ZLAI7TCCRXMOEFT3WKBBK75UMB/events.json","paper":"https://pith.science/paper/ZLAI7TCC"},"agent_actions":{"view_html":"https://pith.science/pith/ZLAI7TCCRXMOEFT3WKBBK75UMB","download_json":"https://pith.science/pith/ZLAI7TCCRXMOEFT3WKBBK75UMB.json","view_paper":"https://pith.science/paper/ZLAI7TCC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2309.12077&json=true","fetch_graph":"https://pith.science/api/pith-number/ZLAI7TCCRXMOEFT3WKBBK75UMB/graph.json","fetch_events":"https://pith.science/api/pith-number/ZLAI7TCCRXMOEFT3WKBBK75UMB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZLAI7TCCRXMOEFT3WKBBK75UMB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZLAI7TCCRXMOEFT3WKBBK75UMB/action/storage_attestation","attest_author":"https://pith.science/pith/ZLAI7TCCRXMOEFT3WKBBK75UMB/action/author_attestation","sign_citation":"https://pith.science/pith/ZLAI7TCCRXMOEFT3WKBBK75UMB/action/citation_signature","submit_replication":"https://pith.science/pith/ZLAI7TCCRXMOEFT3WKBBK75UMB/action/replication_record"}},"created_at":"2026-05-22T01:03:38.860403+00:00","updated_at":"2026-05-22T01:03:38.860403+00:00"}