{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:EXHB4P5RYI774BI3WXINB2YAS4","short_pith_number":"pith:EXHB4P5R","schema_version":"1.0","canonical_sha256":"25ce1e3fb1c23ffe051bb5d0d0eb00970de6c65cd07aab26d972c947f8ee405e","source":{"kind":"arxiv","id":"0810.3979","version":2},"attestation_state":"computed","paper":{"title":"Double-Layer Potentials for a Generalized Bi-Axially Symmetric Helmholtz Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Anvar Hasanov, H. M. Srivastava, Junesang Choi","submitted_at":"2008-10-22T06:54:03Z","abstract_excerpt":"The double-layer potential plays an important r$\\hat{\\rm o}$le in solving boundary value problems of elliptic equations. Here, in this paper, we aim at introducing and investigating double layer potentials for a generalized bi-axially symmetric Helmholtz equation. By using some properties of one of Appell's hypergeometric functions in two variables, we prove limiting theorems and derive integral equations concerning a denseness of double-layer potentials."},"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":"0810.3979","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-10-22T06:54:03Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"894c650a7784a391002d895d970a3985988d7c8c12b9170e4563d11818b41448","abstract_canon_sha256":"5f7bebaa97418a0f78873d8e8035c9715f040ed3f7c101e8e9d7a55cadeeb05a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:44.046818Z","signature_b64":"Iu3yfylQPq2UoXO+XR6KzFDJyKoMHvDd7tBs5OL1/q3u0FvneSHF6o8BGnF0WdcbG2eWxthDey7CRNyq5KZ9CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25ce1e3fb1c23ffe051bb5d0d0eb00970de6c65cd07aab26d972c947f8ee405e","last_reissued_at":"2026-05-18T04:03:44.046038Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:44.046038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Double-Layer Potentials for a Generalized Bi-Axially Symmetric Helmholtz Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Anvar Hasanov, H. M. Srivastava, Junesang Choi","submitted_at":"2008-10-22T06:54:03Z","abstract_excerpt":"The double-layer potential plays an important r$\\hat{\\rm o}$le in solving boundary value problems of elliptic equations. Here, in this paper, we aim at introducing and investigating double layer potentials for a generalized bi-axially symmetric Helmholtz equation. By using some properties of one of Appell's hypergeometric functions in two variables, we prove limiting theorems and derive integral equations concerning a denseness of double-layer potentials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.3979","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":"0810.3979","created_at":"2026-05-18T04:03:44.046166+00:00"},{"alias_kind":"arxiv_version","alias_value":"0810.3979v2","created_at":"2026-05-18T04:03:44.046166+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.3979","created_at":"2026-05-18T04:03:44.046166+00:00"},{"alias_kind":"pith_short_12","alias_value":"EXHB4P5RYI77","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_16","alias_value":"EXHB4P5RYI774BI3","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_8","alias_value":"EXHB4P5R","created_at":"2026-05-18T12:25:57.157939+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/EXHB4P5RYI774BI3WXINB2YAS4","json":"https://pith.science/pith/EXHB4P5RYI774BI3WXINB2YAS4.json","graph_json":"https://pith.science/api/pith-number/EXHB4P5RYI774BI3WXINB2YAS4/graph.json","events_json":"https://pith.science/api/pith-number/EXHB4P5RYI774BI3WXINB2YAS4/events.json","paper":"https://pith.science/paper/EXHB4P5R"},"agent_actions":{"view_html":"https://pith.science/pith/EXHB4P5RYI774BI3WXINB2YAS4","download_json":"https://pith.science/pith/EXHB4P5RYI774BI3WXINB2YAS4.json","view_paper":"https://pith.science/paper/EXHB4P5R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0810.3979&json=true","fetch_graph":"https://pith.science/api/pith-number/EXHB4P5RYI774BI3WXINB2YAS4/graph.json","fetch_events":"https://pith.science/api/pith-number/EXHB4P5RYI774BI3WXINB2YAS4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EXHB4P5RYI774BI3WXINB2YAS4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EXHB4P5RYI774BI3WXINB2YAS4/action/storage_attestation","attest_author":"https://pith.science/pith/EXHB4P5RYI774BI3WXINB2YAS4/action/author_attestation","sign_citation":"https://pith.science/pith/EXHB4P5RYI774BI3WXINB2YAS4/action/citation_signature","submit_replication":"https://pith.science/pith/EXHB4P5RYI774BI3WXINB2YAS4/action/replication_record"}},"created_at":"2026-05-18T04:03:44.046166+00:00","updated_at":"2026-05-18T04:03:44.046166+00:00"}