{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:WIFSYFB5KX6YQEXNT6445UHIK3","short_pith_number":"pith:WIFSYFB5","schema_version":"1.0","canonical_sha256":"b20b2c143d55fd8812ed9fb9ced0e856d23e567a806857a72c22ecf8d50f0f92","source":{"kind":"arxiv","id":"1804.04285","version":1},"attestation_state":"computed","paper":{"title":"H\\\"{o}lder Continuous Solutions to the Three-dimensional Prandtl System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Tianwen Luo, Zhouping Xin","submitted_at":"2018-04-12T02:14:19Z","abstract_excerpt":"Adapting the convex integration technique introduced by De Lellis and Sz{\\'e}kelyhidi, we construct H\\\"{o}lder continuous weak solutions to the three dimensional Prandtl system and some other models with vertical viscosity."},"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":"1804.04285","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-12T02:14:19Z","cross_cats_sorted":[],"title_canon_sha256":"8efe0cd9cb64cabe0c56bbd666a6652c767516a54963da666af067201b0dd388","abstract_canon_sha256":"5ca57f27c88b9f956c6ab169dfd70f694ea508084308ccf630c082ada54f9bb2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:40.061102Z","signature_b64":"sD5+ixJRMQKTV1AH7+Cm6WB9rUk35ffIjWSZUMM7rnM0OQZI/1Rd6J9VUFWt5Uj0yfJr2kuZakdohLyfEuqWCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b20b2c143d55fd8812ed9fb9ced0e856d23e567a806857a72c22ecf8d50f0f92","last_reissued_at":"2026-05-18T00:18:40.060361Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:40.060361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"H\\\"{o}lder Continuous Solutions to the Three-dimensional Prandtl System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Tianwen Luo, Zhouping Xin","submitted_at":"2018-04-12T02:14:19Z","abstract_excerpt":"Adapting the convex integration technique introduced by De Lellis and Sz{\\'e}kelyhidi, we construct H\\\"{o}lder continuous weak solutions to the three dimensional Prandtl system and some other models with vertical viscosity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.04285","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":"1804.04285","created_at":"2026-05-18T00:18:40.060482+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.04285v1","created_at":"2026-05-18T00:18:40.060482+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.04285","created_at":"2026-05-18T00:18:40.060482+00:00"},{"alias_kind":"pith_short_12","alias_value":"WIFSYFB5KX6Y","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_16","alias_value":"WIFSYFB5KX6YQEXN","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_8","alias_value":"WIFSYFB5","created_at":"2026-05-18T12:32:59.047623+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/WIFSYFB5KX6YQEXNT6445UHIK3","json":"https://pith.science/pith/WIFSYFB5KX6YQEXNT6445UHIK3.json","graph_json":"https://pith.science/api/pith-number/WIFSYFB5KX6YQEXNT6445UHIK3/graph.json","events_json":"https://pith.science/api/pith-number/WIFSYFB5KX6YQEXNT6445UHIK3/events.json","paper":"https://pith.science/paper/WIFSYFB5"},"agent_actions":{"view_html":"https://pith.science/pith/WIFSYFB5KX6YQEXNT6445UHIK3","download_json":"https://pith.science/pith/WIFSYFB5KX6YQEXNT6445UHIK3.json","view_paper":"https://pith.science/paper/WIFSYFB5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.04285&json=true","fetch_graph":"https://pith.science/api/pith-number/WIFSYFB5KX6YQEXNT6445UHIK3/graph.json","fetch_events":"https://pith.science/api/pith-number/WIFSYFB5KX6YQEXNT6445UHIK3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WIFSYFB5KX6YQEXNT6445UHIK3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WIFSYFB5KX6YQEXNT6445UHIK3/action/storage_attestation","attest_author":"https://pith.science/pith/WIFSYFB5KX6YQEXNT6445UHIK3/action/author_attestation","sign_citation":"https://pith.science/pith/WIFSYFB5KX6YQEXNT6445UHIK3/action/citation_signature","submit_replication":"https://pith.science/pith/WIFSYFB5KX6YQEXNT6445UHIK3/action/replication_record"}},"created_at":"2026-05-18T00:18:40.060482+00:00","updated_at":"2026-05-18T00:18:40.060482+00:00"}