{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:P7PDSLWJAHNSOJDG32RTMOW7MW","short_pith_number":"pith:P7PDSLWJ","schema_version":"1.0","canonical_sha256":"7fde392ec901db272466dea3363adf65a9554fbbe0c1b4eebc1ced52c28adf33","source":{"kind":"arxiv","id":"2401.12796","version":3},"attestation_state":"computed","paper":{"title":"Strichartz estimates and low regularity solutions of 3D relativistic Euler equations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Huali Zhang","submitted_at":"2024-01-23T14:30:11Z","abstract_excerpt":"We study the low regularity well-posedness for Cauchy problem of 3D relativistic Euler equations. Firstly, we introduce a new decomposition for relativistic velocity and derive new transport equations for vorticity, which both play a crucial role in energy and Strichartz estimates. According to Smith-Tataru's approach, we then establish a Strichartz estimate of linear wave equations endowed with the acoustic metric. This leads us to prove a complete local well-posedness result if the initial logarithmic enthalpy, velocity, and modified vorticity $(h_0, \\bu_0, \\bw_0) \\in H^s \\times H^s \\times H"},"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":"2401.12796","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-01-23T14:30:11Z","cross_cats_sorted":[],"title_canon_sha256":"b93c3f47967833cf84cd1db810d0e8a201ac78bf8e98c81bf0bf0f22ecbe3683","abstract_canon_sha256":"5fe1a82151e7274ee08ad372b955ca19f07a6e422a027796759b1952cdc74eaa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:30:06.590533Z","signature_b64":"3SfQ3gk6RcBngiH2HOgGXD1jKDes6VGO94KiVrT/r986OVVOWq2q6H++zf9+GSBVOX3azpjOSBa62gmssg69Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fde392ec901db272466dea3363adf65a9554fbbe0c1b4eebc1ced52c28adf33","last_reissued_at":"2026-07-05T09:30:06.590065Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:30:06.590065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strichartz estimates and low regularity solutions of 3D relativistic Euler equations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Huali Zhang","submitted_at":"2024-01-23T14:30:11Z","abstract_excerpt":"We study the low regularity well-posedness for Cauchy problem of 3D relativistic Euler equations. Firstly, we introduce a new decomposition for relativistic velocity and derive new transport equations for vorticity, which both play a crucial role in energy and Strichartz estimates. According to Smith-Tataru's approach, we then establish a Strichartz estimate of linear wave equations endowed with the acoustic metric. This leads us to prove a complete local well-posedness result if the initial logarithmic enthalpy, velocity, and modified vorticity $(h_0, \\bu_0, \\bw_0) \\in H^s \\times H^s \\times H"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.12796","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/2401.12796/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":"2401.12796","created_at":"2026-07-05T09:30:06.590125+00:00"},{"alias_kind":"arxiv_version","alias_value":"2401.12796v3","created_at":"2026-07-05T09:30:06.590125+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.12796","created_at":"2026-07-05T09:30:06.590125+00:00"},{"alias_kind":"pith_short_12","alias_value":"P7PDSLWJAHNS","created_at":"2026-07-05T09:30:06.590125+00:00"},{"alias_kind":"pith_short_16","alias_value":"P7PDSLWJAHNSOJDG","created_at":"2026-07-05T09:30:06.590125+00:00"},{"alias_kind":"pith_short_8","alias_value":"P7PDSLWJ","created_at":"2026-07-05T09:30:06.590125+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/P7PDSLWJAHNSOJDG32RTMOW7MW","json":"https://pith.science/pith/P7PDSLWJAHNSOJDG32RTMOW7MW.json","graph_json":"https://pith.science/api/pith-number/P7PDSLWJAHNSOJDG32RTMOW7MW/graph.json","events_json":"https://pith.science/api/pith-number/P7PDSLWJAHNSOJDG32RTMOW7MW/events.json","paper":"https://pith.science/paper/P7PDSLWJ"},"agent_actions":{"view_html":"https://pith.science/pith/P7PDSLWJAHNSOJDG32RTMOW7MW","download_json":"https://pith.science/pith/P7PDSLWJAHNSOJDG32RTMOW7MW.json","view_paper":"https://pith.science/paper/P7PDSLWJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2401.12796&json=true","fetch_graph":"https://pith.science/api/pith-number/P7PDSLWJAHNSOJDG32RTMOW7MW/graph.json","fetch_events":"https://pith.science/api/pith-number/P7PDSLWJAHNSOJDG32RTMOW7MW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P7PDSLWJAHNSOJDG32RTMOW7MW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P7PDSLWJAHNSOJDG32RTMOW7MW/action/storage_attestation","attest_author":"https://pith.science/pith/P7PDSLWJAHNSOJDG32RTMOW7MW/action/author_attestation","sign_citation":"https://pith.science/pith/P7PDSLWJAHNSOJDG32RTMOW7MW/action/citation_signature","submit_replication":"https://pith.science/pith/P7PDSLWJAHNSOJDG32RTMOW7MW/action/replication_record"}},"created_at":"2026-07-05T09:30:06.590125+00:00","updated_at":"2026-07-05T09:30:06.590125+00:00"}