{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:6RIT7FTST3W4H4JC5HNBQSJOIM","short_pith_number":"pith:6RIT7FTS","schema_version":"1.0","canonical_sha256":"f4513f96729eedc3f122e9da18492e430a819f68b6d2e87a924ac20ad52365ce","source":{"kind":"arxiv","id":"1310.3783","version":1},"attestation_state":"computed","paper":{"title":"A new proof for Koch and Tataru's result on the well-posedness of Navier-Stokes equations in $BMO^{-1}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CA","authors_text":"Dorothee Frey (MSI), Pascal Auscher (LM-Orsay)","submitted_at":"2013-10-14T18:50:46Z","abstract_excerpt":"We give a new proof of a well-known result of Koch and Tataru on the well-posedness of Navier-Stokes equations in $\\R^n$ with small initial data in $BMO^{-1}(\\R^n)$. The proof is formulated operator theoretically and does not make use of self-adjointness of the Laplacian."},"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":"1310.3783","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-10-14T18:50:46Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"1d731759c751c4ac5cfbb45f775513a89fcaba5a60ce096c2867983497c73ed6","abstract_canon_sha256":"3788a8ea3e6a3a2709215fe25d921f8b3073524fd97b7d7ef0fc9f8a42485487"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:34.915927Z","signature_b64":"L2my0vOfic143PnscQ0TOHcCRcQgh9Smzq5vGZujPZg87fcHdw0XeeDOj1JKnlc7+aiVLpw0xtNI8G4yJXN5CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4513f96729eedc3f122e9da18492e430a819f68b6d2e87a924ac20ad52365ce","last_reissued_at":"2026-05-18T03:10:34.915457Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:34.915457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A new proof for Koch and Tataru's result on the well-posedness of Navier-Stokes equations in $BMO^{-1}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CA","authors_text":"Dorothee Frey (MSI), Pascal Auscher (LM-Orsay)","submitted_at":"2013-10-14T18:50:46Z","abstract_excerpt":"We give a new proof of a well-known result of Koch and Tataru on the well-posedness of Navier-Stokes equations in $\\R^n$ with small initial data in $BMO^{-1}(\\R^n)$. The proof is formulated operator theoretically and does not make use of self-adjointness of the Laplacian."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.3783","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":"1310.3783","created_at":"2026-05-18T03:10:34.915532+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.3783v1","created_at":"2026-05-18T03:10:34.915532+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.3783","created_at":"2026-05-18T03:10:34.915532+00:00"},{"alias_kind":"pith_short_12","alias_value":"6RIT7FTST3W4","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_16","alias_value":"6RIT7FTST3W4H4JC","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_8","alias_value":"6RIT7FTS","created_at":"2026-05-18T12:27:36.564083+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/6RIT7FTST3W4H4JC5HNBQSJOIM","json":"https://pith.science/pith/6RIT7FTST3W4H4JC5HNBQSJOIM.json","graph_json":"https://pith.science/api/pith-number/6RIT7FTST3W4H4JC5HNBQSJOIM/graph.json","events_json":"https://pith.science/api/pith-number/6RIT7FTST3W4H4JC5HNBQSJOIM/events.json","paper":"https://pith.science/paper/6RIT7FTS"},"agent_actions":{"view_html":"https://pith.science/pith/6RIT7FTST3W4H4JC5HNBQSJOIM","download_json":"https://pith.science/pith/6RIT7FTST3W4H4JC5HNBQSJOIM.json","view_paper":"https://pith.science/paper/6RIT7FTS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.3783&json=true","fetch_graph":"https://pith.science/api/pith-number/6RIT7FTST3W4H4JC5HNBQSJOIM/graph.json","fetch_events":"https://pith.science/api/pith-number/6RIT7FTST3W4H4JC5HNBQSJOIM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6RIT7FTST3W4H4JC5HNBQSJOIM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6RIT7FTST3W4H4JC5HNBQSJOIM/action/storage_attestation","attest_author":"https://pith.science/pith/6RIT7FTST3W4H4JC5HNBQSJOIM/action/author_attestation","sign_citation":"https://pith.science/pith/6RIT7FTST3W4H4JC5HNBQSJOIM/action/citation_signature","submit_replication":"https://pith.science/pith/6RIT7FTST3W4H4JC5HNBQSJOIM/action/replication_record"}},"created_at":"2026-05-18T03:10:34.915532+00:00","updated_at":"2026-05-18T03:10:34.915532+00:00"}