{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:IEI3IDGVB5FUVJILOGWTK7UWE2","short_pith_number":"pith:IEI3IDGV","schema_version":"1.0","canonical_sha256":"4111b40cd50f4b4aa50b71ad357e962691a2aeda5115e122924634520dae737f","source":{"kind":"arxiv","id":"1904.00926","version":2},"attestation_state":"computed","paper":{"title":"Index transforms with the product of the associated Legendre functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Semyon Yakubovich","submitted_at":"2019-04-01T15:55:48Z","abstract_excerpt":"Index transforms with the product of the associated Legendre functions are introduced. Mapping properties are investigated in the Lebesgue spaces. Inversion formulas are proved. The results are applied to solve a boundary value problem in a wedge for a third order partial differential equation."},"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":"1904.00926","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-04-01T15:55:48Z","cross_cats_sorted":[],"title_canon_sha256":"d906147ca4ec4f2cc23d261a5ec9c96bad858b13cb41035b74f3c576ce7ed7a6","abstract_canon_sha256":"de38d9fbe4b27b3e82bf9e2e1d621e447ec535d977a57af1b72513e91e23f936"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:39.263750Z","signature_b64":"T33hgC1jSt5YxSuGsIGNYlcuZE7HyfcDJrqFTtBPrcA6Q/FV//Uv2qbLTEOgNYs2G8ll6a8svDlD3aMBWpCHCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4111b40cd50f4b4aa50b71ad357e962691a2aeda5115e122924634520dae737f","last_reissued_at":"2026-05-17T23:48:39.263053Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:39.263053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Index transforms with the product of the associated Legendre functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Semyon Yakubovich","submitted_at":"2019-04-01T15:55:48Z","abstract_excerpt":"Index transforms with the product of the associated Legendre functions are introduced. Mapping properties are investigated in the Lebesgue spaces. Inversion formulas are proved. The results are applied to solve a boundary value problem in a wedge for a third order partial differential equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.00926","kind":"arxiv","version":2},"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":"1904.00926","created_at":"2026-05-17T23:48:39.263145+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.00926v2","created_at":"2026-05-17T23:48:39.263145+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.00926","created_at":"2026-05-17T23:48:39.263145+00:00"},{"alias_kind":"pith_short_12","alias_value":"IEI3IDGVB5FU","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_16","alias_value":"IEI3IDGVB5FUVJIL","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_8","alias_value":"IEI3IDGV","created_at":"2026-05-18T12:33:18.533446+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/IEI3IDGVB5FUVJILOGWTK7UWE2","json":"https://pith.science/pith/IEI3IDGVB5FUVJILOGWTK7UWE2.json","graph_json":"https://pith.science/api/pith-number/IEI3IDGVB5FUVJILOGWTK7UWE2/graph.json","events_json":"https://pith.science/api/pith-number/IEI3IDGVB5FUVJILOGWTK7UWE2/events.json","paper":"https://pith.science/paper/IEI3IDGV"},"agent_actions":{"view_html":"https://pith.science/pith/IEI3IDGVB5FUVJILOGWTK7UWE2","download_json":"https://pith.science/pith/IEI3IDGVB5FUVJILOGWTK7UWE2.json","view_paper":"https://pith.science/paper/IEI3IDGV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.00926&json=true","fetch_graph":"https://pith.science/api/pith-number/IEI3IDGVB5FUVJILOGWTK7UWE2/graph.json","fetch_events":"https://pith.science/api/pith-number/IEI3IDGVB5FUVJILOGWTK7UWE2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IEI3IDGVB5FUVJILOGWTK7UWE2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IEI3IDGVB5FUVJILOGWTK7UWE2/action/storage_attestation","attest_author":"https://pith.science/pith/IEI3IDGVB5FUVJILOGWTK7UWE2/action/author_attestation","sign_citation":"https://pith.science/pith/IEI3IDGVB5FUVJILOGWTK7UWE2/action/citation_signature","submit_replication":"https://pith.science/pith/IEI3IDGVB5FUVJILOGWTK7UWE2/action/replication_record"}},"created_at":"2026-05-17T23:48:39.263145+00:00","updated_at":"2026-05-17T23:48:39.263145+00:00"}