{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:HEG3MCGPYTT6AWNK7ZZMB3KNOT","short_pith_number":"pith:HEG3MCGP","schema_version":"1.0","canonical_sha256":"390db608cfc4e7e059aafe72c0ed4d74e3ef1d4eda572eed67b77d507e27b285","source":{"kind":"arxiv","id":"1406.4017","version":1},"attestation_state":"computed","paper":{"title":"The incompressible Navier-Stokes system with time-dependent Robin-type boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"El Maati Ouhabaz (IMB), Sylvie Monniaux (I2M)","submitted_at":"2014-06-16T14:02:36Z","abstract_excerpt":"We show that the incompressible 3D Navier-Stokes system in a C 1;1 bounded domain or a bounded convex domain with a non penetration condition u = 0 at the boundary @ together with a time-dependent Robin boundary condition of the type curl u = (t)u on @ admits a solution with enough regularity provided the initial condition is small enough in an appropriate functional space."},"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":"1406.4017","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-06-16T14:02:36Z","cross_cats_sorted":[],"title_canon_sha256":"041bf557415963c70a99739f2ff8158f694b5d28ba0d97fa197ae7aa7740f2e1","abstract_canon_sha256":"cfbd31e564f4b4fef2834fe1ca33fb8464b698beeefa5120df6e23b922de3cc7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:39.357744Z","signature_b64":"36qEVKRGOKqhxZ2tQQeYGl+e1z6LF/+J1RiyMiAeTjWnXqvARqoNqM+2NAHOa1/AghFBtqcfU2ekCY3VrUS2CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"390db608cfc4e7e059aafe72c0ed4d74e3ef1d4eda572eed67b77d507e27b285","last_reissued_at":"2026-05-18T02:49:39.357431Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:39.357431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The incompressible Navier-Stokes system with time-dependent Robin-type boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"El Maati Ouhabaz (IMB), Sylvie Monniaux (I2M)","submitted_at":"2014-06-16T14:02:36Z","abstract_excerpt":"We show that the incompressible 3D Navier-Stokes system in a C 1;1 bounded domain or a bounded convex domain with a non penetration condition u = 0 at the boundary @ together with a time-dependent Robin boundary condition of the type curl u = (t)u on @ admits a solution with enough regularity provided the initial condition is small enough in an appropriate functional space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4017","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":"1406.4017","created_at":"2026-05-18T02:49:39.357480+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.4017v1","created_at":"2026-05-18T02:49:39.357480+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4017","created_at":"2026-05-18T02:49:39.357480+00:00"},{"alias_kind":"pith_short_12","alias_value":"HEG3MCGPYTT6","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"HEG3MCGPYTT6AWNK","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"HEG3MCGP","created_at":"2026-05-18T12:28:30.664211+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/HEG3MCGPYTT6AWNK7ZZMB3KNOT","json":"https://pith.science/pith/HEG3MCGPYTT6AWNK7ZZMB3KNOT.json","graph_json":"https://pith.science/api/pith-number/HEG3MCGPYTT6AWNK7ZZMB3KNOT/graph.json","events_json":"https://pith.science/api/pith-number/HEG3MCGPYTT6AWNK7ZZMB3KNOT/events.json","paper":"https://pith.science/paper/HEG3MCGP"},"agent_actions":{"view_html":"https://pith.science/pith/HEG3MCGPYTT6AWNK7ZZMB3KNOT","download_json":"https://pith.science/pith/HEG3MCGPYTT6AWNK7ZZMB3KNOT.json","view_paper":"https://pith.science/paper/HEG3MCGP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.4017&json=true","fetch_graph":"https://pith.science/api/pith-number/HEG3MCGPYTT6AWNK7ZZMB3KNOT/graph.json","fetch_events":"https://pith.science/api/pith-number/HEG3MCGPYTT6AWNK7ZZMB3KNOT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HEG3MCGPYTT6AWNK7ZZMB3KNOT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HEG3MCGPYTT6AWNK7ZZMB3KNOT/action/storage_attestation","attest_author":"https://pith.science/pith/HEG3MCGPYTT6AWNK7ZZMB3KNOT/action/author_attestation","sign_citation":"https://pith.science/pith/HEG3MCGPYTT6AWNK7ZZMB3KNOT/action/citation_signature","submit_replication":"https://pith.science/pith/HEG3MCGPYTT6AWNK7ZZMB3KNOT/action/replication_record"}},"created_at":"2026-05-18T02:49:39.357480+00:00","updated_at":"2026-05-18T02:49:39.357480+00:00"}