{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:DJKTIHBJCO3X2KLWL7CBMOMKOZ","short_pith_number":"pith:DJKTIHBJ","schema_version":"1.0","canonical_sha256":"1a55341c2913b77d29765fc416398a767386048928c2fd37cd845d02fafc5d1f","source":{"kind":"arxiv","id":"1202.3928","version":1},"attestation_state":"computed","paper":{"title":"Fractional Hardy-type inequalities in domains with plump complement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Antti V. V\\\"ah\\\"akangas, David E. Edmunds, Ritva Hurri-Syrj\\\"anen","submitted_at":"2012-02-17T15:04:52Z","abstract_excerpt":"We establish fractional Hardy-type inequalities in a bounded domain with plump complement. In particular our results apply in bounded C^\\infty domains and Lipschitz domains."},"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":"1202.3928","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-02-17T15:04:52Z","cross_cats_sorted":[],"title_canon_sha256":"0b22e7a27282df9c6241dcffbf892a4b520a183ffc98579158e1141501d82ef4","abstract_canon_sha256":"3bfd51de7e4880a45ce758516efd812b273b0eb82751c84ffad3f71b4a7d6243"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:02:02.457016Z","signature_b64":"ALcQN3AVI8KY3zbXl+8YhKIAeNezt1E6PMtADXIm3vB5FqDil5Dn4y26z8vP41xFAyoYUFfb1vTGz/0xluUUCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a55341c2913b77d29765fc416398a767386048928c2fd37cd845d02fafc5d1f","last_reissued_at":"2026-05-18T04:02:02.456378Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:02:02.456378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fractional Hardy-type inequalities in domains with plump complement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Antti V. V\\\"ah\\\"akangas, David E. Edmunds, Ritva Hurri-Syrj\\\"anen","submitted_at":"2012-02-17T15:04:52Z","abstract_excerpt":"We establish fractional Hardy-type inequalities in a bounded domain with plump complement. In particular our results apply in bounded C^\\infty domains and Lipschitz domains."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.3928","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":"1202.3928","created_at":"2026-05-18T04:02:02.456493+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.3928v1","created_at":"2026-05-18T04:02:02.456493+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.3928","created_at":"2026-05-18T04:02:02.456493+00:00"},{"alias_kind":"pith_short_12","alias_value":"DJKTIHBJCO3X","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"DJKTIHBJCO3X2KLW","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"DJKTIHBJ","created_at":"2026-05-18T12:27:04.183437+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/DJKTIHBJCO3X2KLWL7CBMOMKOZ","json":"https://pith.science/pith/DJKTIHBJCO3X2KLWL7CBMOMKOZ.json","graph_json":"https://pith.science/api/pith-number/DJKTIHBJCO3X2KLWL7CBMOMKOZ/graph.json","events_json":"https://pith.science/api/pith-number/DJKTIHBJCO3X2KLWL7CBMOMKOZ/events.json","paper":"https://pith.science/paper/DJKTIHBJ"},"agent_actions":{"view_html":"https://pith.science/pith/DJKTIHBJCO3X2KLWL7CBMOMKOZ","download_json":"https://pith.science/pith/DJKTIHBJCO3X2KLWL7CBMOMKOZ.json","view_paper":"https://pith.science/paper/DJKTIHBJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.3928&json=true","fetch_graph":"https://pith.science/api/pith-number/DJKTIHBJCO3X2KLWL7CBMOMKOZ/graph.json","fetch_events":"https://pith.science/api/pith-number/DJKTIHBJCO3X2KLWL7CBMOMKOZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DJKTIHBJCO3X2KLWL7CBMOMKOZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DJKTIHBJCO3X2KLWL7CBMOMKOZ/action/storage_attestation","attest_author":"https://pith.science/pith/DJKTIHBJCO3X2KLWL7CBMOMKOZ/action/author_attestation","sign_citation":"https://pith.science/pith/DJKTIHBJCO3X2KLWL7CBMOMKOZ/action/citation_signature","submit_replication":"https://pith.science/pith/DJKTIHBJCO3X2KLWL7CBMOMKOZ/action/replication_record"}},"created_at":"2026-05-18T04:02:02.456493+00:00","updated_at":"2026-05-18T04:02:02.456493+00:00"}