{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:C324X35PHM7XTZUTBUMLA5IOVR","short_pith_number":"pith:C324X35P","schema_version":"1.0","canonical_sha256":"16f5cbefaf3b3f79e6930d18b0750eac77c97d3b13d40bd0cf26c26cf3fad8cf","source":{"kind":"arxiv","id":"1506.06902","version":3},"attestation_state":"computed","paper":{"title":"A bispectral q-hypergeometric basis for a class of quantum integrable models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.QA"],"primary_cat":"math-ph","authors_text":"Pascal Baseilhac, Xavier Martin","submitted_at":"2015-06-23T08:23:39Z","abstract_excerpt":"For the class of quantum integrable models generated from the $q-$Onsager algebra, a basis of bispectral multivariable $q-$orthogonal polynomials is exhibited. In a first part, it is shown that the multivariable Askey-Wilson polynomials with $N$ variables and $N+3$ parameters introduced by Gasper and Rahman [1] generate a family of infinite dimensional modules for the $q-$Onsager algebra, whose fundamental generators are realized in terms of the multivariable $q-$difference and difference operators proposed by Iliev [2]. Raising and lowering operators extending those of Sahi [3] are also const"},"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":"1506.06902","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-23T08:23:39Z","cross_cats_sorted":["math.MP","math.QA"],"title_canon_sha256":"39ea5d7117ee530ae45921fff093b8e857ff588dab027dfefd2c718db0625ef5","abstract_canon_sha256":"f8acd3f15bde442041c91033c183d9ea73cfb184949e230bb0c88d486edf41a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:45.557280Z","signature_b64":"JGFu9QQcCkJX6Q5EOipPi+g4ZHQ8Pp+iUV1GK4smkcVObVFdHNn9CCwZFlOKNWvdYbeCCI5TpDV/wv5xA159DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16f5cbefaf3b3f79e6930d18b0750eac77c97d3b13d40bd0cf26c26cf3fad8cf","last_reissued_at":"2026-05-18T00:24:45.556499Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:45.556499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A bispectral q-hypergeometric basis for a class of quantum integrable models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.QA"],"primary_cat":"math-ph","authors_text":"Pascal Baseilhac, Xavier Martin","submitted_at":"2015-06-23T08:23:39Z","abstract_excerpt":"For the class of quantum integrable models generated from the $q-$Onsager algebra, a basis of bispectral multivariable $q-$orthogonal polynomials is exhibited. In a first part, it is shown that the multivariable Askey-Wilson polynomials with $N$ variables and $N+3$ parameters introduced by Gasper and Rahman [1] generate a family of infinite dimensional modules for the $q-$Onsager algebra, whose fundamental generators are realized in terms of the multivariable $q-$difference and difference operators proposed by Iliev [2]. Raising and lowering operators extending those of Sahi [3] are also const"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06902","kind":"arxiv","version":3},"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":"1506.06902","created_at":"2026-05-18T00:24:45.556640+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.06902v3","created_at":"2026-05-18T00:24:45.556640+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06902","created_at":"2026-05-18T00:24:45.556640+00:00"},{"alias_kind":"pith_short_12","alias_value":"C324X35PHM7X","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"C324X35PHM7XTZUT","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"C324X35P","created_at":"2026-05-18T12:29:14.074870+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/C324X35PHM7XTZUTBUMLA5IOVR","json":"https://pith.science/pith/C324X35PHM7XTZUTBUMLA5IOVR.json","graph_json":"https://pith.science/api/pith-number/C324X35PHM7XTZUTBUMLA5IOVR/graph.json","events_json":"https://pith.science/api/pith-number/C324X35PHM7XTZUTBUMLA5IOVR/events.json","paper":"https://pith.science/paper/C324X35P"},"agent_actions":{"view_html":"https://pith.science/pith/C324X35PHM7XTZUTBUMLA5IOVR","download_json":"https://pith.science/pith/C324X35PHM7XTZUTBUMLA5IOVR.json","view_paper":"https://pith.science/paper/C324X35P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.06902&json=true","fetch_graph":"https://pith.science/api/pith-number/C324X35PHM7XTZUTBUMLA5IOVR/graph.json","fetch_events":"https://pith.science/api/pith-number/C324X35PHM7XTZUTBUMLA5IOVR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C324X35PHM7XTZUTBUMLA5IOVR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C324X35PHM7XTZUTBUMLA5IOVR/action/storage_attestation","attest_author":"https://pith.science/pith/C324X35PHM7XTZUTBUMLA5IOVR/action/author_attestation","sign_citation":"https://pith.science/pith/C324X35PHM7XTZUTBUMLA5IOVR/action/citation_signature","submit_replication":"https://pith.science/pith/C324X35PHM7XTZUTBUMLA5IOVR/action/replication_record"}},"created_at":"2026-05-18T00:24:45.556640+00:00","updated_at":"2026-05-18T00:24:45.556640+00:00"}