{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:JYUEOSTZCHMUGEPVGSEHTXFNHA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"dfcd9d8de39091ab1b6252adea126db7742e62c80477fe7678f24864babf7fe9","cross_cats_sorted":[],"license":"","primary_cat":"math.CA","submitted_at":"2003-03-07T16:18:55Z","title_canon_sha256":"32c83e0f092433901072bcd5aa30cb4686446e8c6a24e3531d55d53bb2c9e8b2"},"schema_version":"1.0","source":{"id":"math/0303093","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0303093","created_at":"2026-05-18T03:11:24Z"},{"alias_kind":"arxiv_version","alias_value":"math/0303093v1","created_at":"2026-05-18T03:11:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0303093","created_at":"2026-05-18T03:11:24Z"},{"alias_kind":"pith_short_12","alias_value":"JYUEOSTZCHMU","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"JYUEOSTZCHMUGEPV","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"JYUEOSTZ","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:a1f91f073405d21b7d1ec118788ee5abe7f96ae52757e633e61c9c4c5b24afd8","target":"graph","created_at":"2026-05-18T03:11:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We introduce multiple Wilson polynomials, which give a new example of multiple orthogonal polynomials (Hermite-Pade polynomials) of type II. These polynomials can be written as a Jacobi-Pineiro transform, which is a generalization of the Jacobi transform for Wilson polynomials, found by T.H. Koornwinder. Here we need to introduce Jacobi and Jacobi-Pineiro polynomials with complex parameters. Some explicit formulas are provided for both Jacobi-Pineiro and multiple Wilson polynomials, one of them in terms of Kampe de Feriet series. Finally we look at some limiting relations and construct a part ","authors_text":"B. Beckermann, J. Coussement, W. Van Assche","cross_cats":[],"headline":"","license":"","primary_cat":"math.CA","submitted_at":"2003-03-07T16:18:55Z","title":"Multiple Wilson and Jacobi-Pineiro polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0303093","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:dae45f6a82c2222f353d6fc8b0469af262e510e825ed5c3cfb2deafbcae5cda0","target":"record","created_at":"2026-05-18T03:11:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"dfcd9d8de39091ab1b6252adea126db7742e62c80477fe7678f24864babf7fe9","cross_cats_sorted":[],"license":"","primary_cat":"math.CA","submitted_at":"2003-03-07T16:18:55Z","title_canon_sha256":"32c83e0f092433901072bcd5aa30cb4686446e8c6a24e3531d55d53bb2c9e8b2"},"schema_version":"1.0","source":{"id":"math/0303093","kind":"arxiv","version":1}},"canonical_sha256":"4e28474a7911d94311f5348879dcad3830996212d05b2b378c66c06774e419f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e28474a7911d94311f5348879dcad3830996212d05b2b378c66c06774e419f6","first_computed_at":"2026-05-18T03:11:24.543098Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:24.543098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xnawlUfTY0igJ7QEGZeJd5JJVCl7w66W3UaHSm0m6i5vsHZ1Hbvq6HM0VS4MOiCPztES5bFrqgVW5ugLPB5VCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:24.543747Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0303093","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dae45f6a82c2222f353d6fc8b0469af262e510e825ed5c3cfb2deafbcae5cda0","sha256:a1f91f073405d21b7d1ec118788ee5abe7f96ae52757e633e61c9c4c5b24afd8"],"state_sha256":"66b5d8415f09dbe5bc72136e60de5c2502361f542aa4d16d0c20fc090d2cfa84"}