{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:DIRKKQAGTTO6O4WGR5632PRO5R","short_pith_number":"pith:DIRKKQAG","schema_version":"1.0","canonical_sha256":"1a22a540069cdde772c68f7dbd3e2eec4330b5ffcf16c3d290be19f4acc72da1","source":{"kind":"arxiv","id":"1311.6064","version":1},"attestation_state":"computed","paper":{"title":"Global Regularity for an Inviscid Three-dimensional Slow Limiting Ocean Dynamics Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.ao-ph","physics.flu-dyn","physics.geo-ph"],"primary_cat":"math.AP","authors_text":"Aseel Farhat, Chongsheng Cao, Edriss S. Titi","submitted_at":"2013-11-23T23:31:15Z","abstract_excerpt":"We establish, for smooth enough initial data, the global well-posedness (existence, uniqueness and continuous dependence on initial data) of solutions, for an inviscid three-dimensional {\\it slow limiting ocean dynamics} model. This model was derived as a strong rotation limit of the rotating and stratified Boussinesg equations with periodic boundary conditions. To establish our results we utilize the tools developed for investigating the two-dimensional incompressible Euler equations and linear transport equations. Using a weaker formulation of the model we also show the global existence and "},"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":"1311.6064","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-11-23T23:31:15Z","cross_cats_sorted":["physics.ao-ph","physics.flu-dyn","physics.geo-ph"],"title_canon_sha256":"c731f76a2f22a57c518529888b70f63783f39b54de9b80b309ed4a071dad11ae","abstract_canon_sha256":"924a55d780d24e89407921804498c1abd2bc0078e63eaa1e11b70d99771a672c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:20.654769Z","signature_b64":"/atwzngqTLLfaPikzsOD0sydr6OXSbMkWCaLFmK4D+h5yX4PmYXu4nHzELa79IBAUxqusqrr85aYI4EfKed2DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a22a540069cdde772c68f7dbd3e2eec4330b5ffcf16c3d290be19f4acc72da1","last_reissued_at":"2026-05-18T03:06:20.654113Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:20.654113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global Regularity for an Inviscid Three-dimensional Slow Limiting Ocean Dynamics Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.ao-ph","physics.flu-dyn","physics.geo-ph"],"primary_cat":"math.AP","authors_text":"Aseel Farhat, Chongsheng Cao, Edriss S. Titi","submitted_at":"2013-11-23T23:31:15Z","abstract_excerpt":"We establish, for smooth enough initial data, the global well-posedness (existence, uniqueness and continuous dependence on initial data) of solutions, for an inviscid three-dimensional {\\it slow limiting ocean dynamics} model. This model was derived as a strong rotation limit of the rotating and stratified Boussinesg equations with periodic boundary conditions. To establish our results we utilize the tools developed for investigating the two-dimensional incompressible Euler equations and linear transport equations. Using a weaker formulation of the model we also show the global existence and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6064","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":"1311.6064","created_at":"2026-05-18T03:06:20.654249+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.6064v1","created_at":"2026-05-18T03:06:20.654249+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6064","created_at":"2026-05-18T03:06:20.654249+00:00"},{"alias_kind":"pith_short_12","alias_value":"DIRKKQAGTTO6","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"DIRKKQAGTTO6O4WG","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"DIRKKQAG","created_at":"2026-05-18T12:27:43.054852+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/DIRKKQAGTTO6O4WGR5632PRO5R","json":"https://pith.science/pith/DIRKKQAGTTO6O4WGR5632PRO5R.json","graph_json":"https://pith.science/api/pith-number/DIRKKQAGTTO6O4WGR5632PRO5R/graph.json","events_json":"https://pith.science/api/pith-number/DIRKKQAGTTO6O4WGR5632PRO5R/events.json","paper":"https://pith.science/paper/DIRKKQAG"},"agent_actions":{"view_html":"https://pith.science/pith/DIRKKQAGTTO6O4WGR5632PRO5R","download_json":"https://pith.science/pith/DIRKKQAGTTO6O4WGR5632PRO5R.json","view_paper":"https://pith.science/paper/DIRKKQAG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.6064&json=true","fetch_graph":"https://pith.science/api/pith-number/DIRKKQAGTTO6O4WGR5632PRO5R/graph.json","fetch_events":"https://pith.science/api/pith-number/DIRKKQAGTTO6O4WGR5632PRO5R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DIRKKQAGTTO6O4WGR5632PRO5R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DIRKKQAGTTO6O4WGR5632PRO5R/action/storage_attestation","attest_author":"https://pith.science/pith/DIRKKQAGTTO6O4WGR5632PRO5R/action/author_attestation","sign_citation":"https://pith.science/pith/DIRKKQAGTTO6O4WGR5632PRO5R/action/citation_signature","submit_replication":"https://pith.science/pith/DIRKKQAGTTO6O4WGR5632PRO5R/action/replication_record"}},"created_at":"2026-05-18T03:06:20.654249+00:00","updated_at":"2026-05-18T03:06:20.654249+00:00"}