{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:2QJO47GVITNWVFFSCFC6STBZJF","short_pith_number":"pith:2QJO47GV","schema_version":"1.0","canonical_sha256":"d412ee7cd544db6a94b21145e94c39496703f3d811aa31efd05dff72c8c32a26","source":{"kind":"arxiv","id":"0805.2111","version":1},"attestation_state":"computed","paper":{"title":"Quadrature formulas for integrals transforms generated by orthogonal polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"E. Coronado, Francisco Dominguez Mota, Rafael G. Campos","submitted_at":"2008-05-14T16:33:42Z","abstract_excerpt":"By using the three-term recurrence equation satisfied by a family of orthogonal polynomials, the Christoffel-Darboux-type bilinear generating function and their asymptotic expressions, we obtain quadrature formulas for integral transforms generated by the classical orthogonal polynomials. These integral transforms, related to the so-called Poisson integrals, correspond to a modified Fourier Transform in the case of the Hermite polynomials, a Bessel Transform in the case of the Laguerre polynomials and to an Appell Transform in the case of the Jacobi polynomials."},"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":"0805.2111","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2008-05-14T16:33:42Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"32f161fd9833d784ab5f1c3b50f67a54d3070bf9cc2d5671006b03a95ff58e60","abstract_canon_sha256":"577659297cc179b77870af48a85bb86763bcf2686d9bc70c22a24269d2de317e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T22:06:06.138829Z","signature_b64":"52qerHLikQD4rh8hicQay7p0DpnBBlMG7jvE9nybWDq+e6n71gZH2verfDg50IAmBkuzFTBTIpfIEdFwVDaqDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d412ee7cd544db6a94b21145e94c39496703f3d811aa31efd05dff72c8c32a26","last_reissued_at":"2026-06-03T22:06:06.138305Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T22:06:06.138305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quadrature formulas for integrals transforms generated by orthogonal polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"E. Coronado, Francisco Dominguez Mota, Rafael G. Campos","submitted_at":"2008-05-14T16:33:42Z","abstract_excerpt":"By using the three-term recurrence equation satisfied by a family of orthogonal polynomials, the Christoffel-Darboux-type bilinear generating function and their asymptotic expressions, we obtain quadrature formulas for integral transforms generated by the classical orthogonal polynomials. These integral transforms, related to the so-called Poisson integrals, correspond to a modified Fourier Transform in the case of the Hermite polynomials, a Bessel Transform in the case of the Laguerre polynomials and to an Appell Transform in the case of the Jacobi polynomials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.2111","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0805.2111/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"0805.2111","created_at":"2026-06-03T22:06:06.138374+00:00"},{"alias_kind":"arxiv_version","alias_value":"0805.2111v1","created_at":"2026-06-03T22:06:06.138374+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.2111","created_at":"2026-06-03T22:06:06.138374+00:00"},{"alias_kind":"pith_short_12","alias_value":"2QJO47GVITNW","created_at":"2026-06-03T22:06:06.138374+00:00"},{"alias_kind":"pith_short_16","alias_value":"2QJO47GVITNWVFFS","created_at":"2026-06-03T22:06:06.138374+00:00"},{"alias_kind":"pith_short_8","alias_value":"2QJO47GV","created_at":"2026-06-03T22:06:06.138374+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/2QJO47GVITNWVFFSCFC6STBZJF","json":"https://pith.science/pith/2QJO47GVITNWVFFSCFC6STBZJF.json","graph_json":"https://pith.science/api/pith-number/2QJO47GVITNWVFFSCFC6STBZJF/graph.json","events_json":"https://pith.science/api/pith-number/2QJO47GVITNWVFFSCFC6STBZJF/events.json","paper":"https://pith.science/paper/2QJO47GV"},"agent_actions":{"view_html":"https://pith.science/pith/2QJO47GVITNWVFFSCFC6STBZJF","download_json":"https://pith.science/pith/2QJO47GVITNWVFFSCFC6STBZJF.json","view_paper":"https://pith.science/paper/2QJO47GV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0805.2111&json=true","fetch_graph":"https://pith.science/api/pith-number/2QJO47GVITNWVFFSCFC6STBZJF/graph.json","fetch_events":"https://pith.science/api/pith-number/2QJO47GVITNWVFFSCFC6STBZJF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2QJO47GVITNWVFFSCFC6STBZJF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2QJO47GVITNWVFFSCFC6STBZJF/action/storage_attestation","attest_author":"https://pith.science/pith/2QJO47GVITNWVFFSCFC6STBZJF/action/author_attestation","sign_citation":"https://pith.science/pith/2QJO47GVITNWVFFSCFC6STBZJF/action/citation_signature","submit_replication":"https://pith.science/pith/2QJO47GVITNWVFFSCFC6STBZJF/action/replication_record"}},"created_at":"2026-06-03T22:06:06.138374+00:00","updated_at":"2026-06-03T22:06:06.138374+00:00"}