{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:K5JQDUEPFYELSMCNJELSBRMDGH","short_pith_number":"pith:K5JQDUEP","schema_version":"1.0","canonical_sha256":"575301d08f2e08b9304d491720c58331d34ad5280f57200042844bbdaa922735","source":{"kind":"arxiv","id":"1008.1678","version":1},"attestation_state":"computed","paper":{"title":"Uniform regularity for the Navier-Stokes equation with Navier boundary condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Frederic Rousset, Nader Masmoudi","submitted_at":"2010-08-10T10:11:05Z","abstract_excerpt":"We prove that there exists an interval of time which is uniform in the vanishing viscosity limit and for which the Navier-Stokes equation with Navier boundary condition has a strong solution. This solution is uniformly bounded in a conormal Sobolev space and has only one normal derivative bounded in $L^\\infty$. This allows to get the vanishing viscosity limit to the incompressible Euler system from a strong compactness argument."},"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":"1008.1678","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-08-10T10:11:05Z","cross_cats_sorted":[],"title_canon_sha256":"c8c15566e659ba572b7adb9f4262c464f14919ab57d4ccb714596228705579be","abstract_canon_sha256":"0e5c1f7b8e672c7c855245b9f67d3af7ee48878260752a5e90b464e0a8e2a7fb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:49.895598Z","signature_b64":"xVlGlWs0GP+TAwtRVwUmGabZz85+F+gP8prNn6hMQm1tNRfUpmmqULlul9UWw9+rCJuJOQ09nWj/rJQgZ8Q2Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"575301d08f2e08b9304d491720c58331d34ad5280f57200042844bbdaa922735","last_reissued_at":"2026-05-18T02:05:49.894933Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:49.894933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Uniform regularity for the Navier-Stokes equation with Navier boundary condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Frederic Rousset, Nader Masmoudi","submitted_at":"2010-08-10T10:11:05Z","abstract_excerpt":"We prove that there exists an interval of time which is uniform in the vanishing viscosity limit and for which the Navier-Stokes equation with Navier boundary condition has a strong solution. This solution is uniformly bounded in a conormal Sobolev space and has only one normal derivative bounded in $L^\\infty$. This allows to get the vanishing viscosity limit to the incompressible Euler system from a strong compactness argument."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.1678","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":"1008.1678","created_at":"2026-05-18T02:05:49.895023+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.1678v1","created_at":"2026-05-18T02:05:49.895023+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.1678","created_at":"2026-05-18T02:05:49.895023+00:00"},{"alias_kind":"pith_short_12","alias_value":"K5JQDUEPFYEL","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"K5JQDUEPFYELSMCN","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"K5JQDUEP","created_at":"2026-05-18T12:26:09.077623+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/K5JQDUEPFYELSMCNJELSBRMDGH","json":"https://pith.science/pith/K5JQDUEPFYELSMCNJELSBRMDGH.json","graph_json":"https://pith.science/api/pith-number/K5JQDUEPFYELSMCNJELSBRMDGH/graph.json","events_json":"https://pith.science/api/pith-number/K5JQDUEPFYELSMCNJELSBRMDGH/events.json","paper":"https://pith.science/paper/K5JQDUEP"},"agent_actions":{"view_html":"https://pith.science/pith/K5JQDUEPFYELSMCNJELSBRMDGH","download_json":"https://pith.science/pith/K5JQDUEPFYELSMCNJELSBRMDGH.json","view_paper":"https://pith.science/paper/K5JQDUEP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.1678&json=true","fetch_graph":"https://pith.science/api/pith-number/K5JQDUEPFYELSMCNJELSBRMDGH/graph.json","fetch_events":"https://pith.science/api/pith-number/K5JQDUEPFYELSMCNJELSBRMDGH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K5JQDUEPFYELSMCNJELSBRMDGH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K5JQDUEPFYELSMCNJELSBRMDGH/action/storage_attestation","attest_author":"https://pith.science/pith/K5JQDUEPFYELSMCNJELSBRMDGH/action/author_attestation","sign_citation":"https://pith.science/pith/K5JQDUEPFYELSMCNJELSBRMDGH/action/citation_signature","submit_replication":"https://pith.science/pith/K5JQDUEPFYELSMCNJELSBRMDGH/action/replication_record"}},"created_at":"2026-05-18T02:05:49.895023+00:00","updated_at":"2026-05-18T02:05:49.895023+00:00"}