{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:CSK4COFFXMP2AOC7YLJDUQ3XEE","short_pith_number":"pith:CSK4COFF","schema_version":"1.0","canonical_sha256":"1495c138a5bb1fa0385fc2d23a4377212d74b7d9d414d54119e28a9a3408587f","source":{"kind":"arxiv","id":"1007.5495","version":1},"attestation_state":"computed","paper":{"title":"$L^p$ solvability of the Stationary Stokes problem on domains with conical singularity in any dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Martin Dindo\\v{s}, Vladimir Maz'ya","submitted_at":"2010-07-30T16:49:06Z","abstract_excerpt":"The Dirichlet boundary value problem for the Stokes operator with $L^p$ data in any dimension on domains with conical singularity (not necessary a Lipschitz graph) is considered. We establish the solvability of the problem for all $p\\in (2-\\varepsilon,\\infty]$ and also its solvability in $C(\\overline{D})$ for the data in $C(\\partial D)$"},"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":"1007.5495","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-07-30T16:49:06Z","cross_cats_sorted":[],"title_canon_sha256":"517bf5a8c775e5e053f6d6f27ef9a5cbe86588204c86bc5ea7f2ae65d55ef58b","abstract_canon_sha256":"71b40811693763ffd0dc8d75b9d2154c7c16835129ca5fdb84a556f7336f2441"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:45.106455Z","signature_b64":"FSDFbvOSHbPduyXGhnOAR3UxWqpWMxTLidCBTHn6iMNHZI/dqqSwVY5Wf5YYLSpBeg91Hfsc0kaDqXCKORBmCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1495c138a5bb1fa0385fc2d23a4377212d74b7d9d414d54119e28a9a3408587f","last_reissued_at":"2026-05-18T04:42:45.105842Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:45.105842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$L^p$ solvability of the Stationary Stokes problem on domains with conical singularity in any dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Martin Dindo\\v{s}, Vladimir Maz'ya","submitted_at":"2010-07-30T16:49:06Z","abstract_excerpt":"The Dirichlet boundary value problem for the Stokes operator with $L^p$ data in any dimension on domains with conical singularity (not necessary a Lipschitz graph) is considered. We establish the solvability of the problem for all $p\\in (2-\\varepsilon,\\infty]$ and also its solvability in $C(\\overline{D})$ for the data in $C(\\partial D)$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.5495","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":"1007.5495","created_at":"2026-05-18T04:42:45.105922+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.5495v1","created_at":"2026-05-18T04:42:45.105922+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.5495","created_at":"2026-05-18T04:42:45.105922+00:00"},{"alias_kind":"pith_short_12","alias_value":"CSK4COFFXMP2","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"CSK4COFFXMP2AOC7","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"CSK4COFF","created_at":"2026-05-18T12:26:06.534383+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/CSK4COFFXMP2AOC7YLJDUQ3XEE","json":"https://pith.science/pith/CSK4COFFXMP2AOC7YLJDUQ3XEE.json","graph_json":"https://pith.science/api/pith-number/CSK4COFFXMP2AOC7YLJDUQ3XEE/graph.json","events_json":"https://pith.science/api/pith-number/CSK4COFFXMP2AOC7YLJDUQ3XEE/events.json","paper":"https://pith.science/paper/CSK4COFF"},"agent_actions":{"view_html":"https://pith.science/pith/CSK4COFFXMP2AOC7YLJDUQ3XEE","download_json":"https://pith.science/pith/CSK4COFFXMP2AOC7YLJDUQ3XEE.json","view_paper":"https://pith.science/paper/CSK4COFF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.5495&json=true","fetch_graph":"https://pith.science/api/pith-number/CSK4COFFXMP2AOC7YLJDUQ3XEE/graph.json","fetch_events":"https://pith.science/api/pith-number/CSK4COFFXMP2AOC7YLJDUQ3XEE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CSK4COFFXMP2AOC7YLJDUQ3XEE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CSK4COFFXMP2AOC7YLJDUQ3XEE/action/storage_attestation","attest_author":"https://pith.science/pith/CSK4COFFXMP2AOC7YLJDUQ3XEE/action/author_attestation","sign_citation":"https://pith.science/pith/CSK4COFFXMP2AOC7YLJDUQ3XEE/action/citation_signature","submit_replication":"https://pith.science/pith/CSK4COFFXMP2AOC7YLJDUQ3XEE/action/replication_record"}},"created_at":"2026-05-18T04:42:45.105922+00:00","updated_at":"2026-05-18T04:42:45.105922+00:00"}