{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:GUTTEKALK2TG25AWZ3X2BLJXFF","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":"bc0c9cc86b780bff6550ed8873215928442a34c64c79fa28ba91ab573f2849bf","cross_cats_sorted":["math-ph","math.CA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2019-02-21T06:43:38Z","title_canon_sha256":"e95c41095f8e2a463b9b2f554991fa858b1b65c27b86bf7d8363a496a11060ed"},"schema_version":"1.0","source":{"id":"1902.07883","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.07883","created_at":"2026-07-05T01:22:13Z"},{"alias_kind":"arxiv_version","alias_value":"1902.07883v2","created_at":"2026-07-05T01:22:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.07883","created_at":"2026-07-05T01:22:13Z"},{"alias_kind":"pith_short_12","alias_value":"GUTTEKALK2TG","created_at":"2026-07-05T01:22:13Z"},{"alias_kind":"pith_short_16","alias_value":"GUTTEKALK2TG25AW","created_at":"2026-07-05T01:22:13Z"},{"alias_kind":"pith_short_8","alias_value":"GUTTEKAL","created_at":"2026-07-05T01:22:13Z"}],"graph_snapshots":[{"event_id":"sha256:44dbafcc04776b9f99219860d1d45983b9541e5a505b6e35942e2e40a43a66d0","target":"graph","created_at":"2026-07-05T01:22:13Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1902.07883/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Gasper and Rahman multivariate $(-q)$-Racah polynomials appear as connection coefficients between bases diagonalizing different abelian subalgebras of the recently defined higher rank $q$-Bannai-Ito algebra $\\mathcal{A}_n^q$. Lifting the action of the algebra to the connection coefficients, we find a realization of $\\mathcal{A}_n^q$ by means of difference operators. This provides an algebraic interpretation for the bispectrality of the multivariate $(-q)$-Racah polynomials, as was established in [Iliev, Trans. Amer. Math. Soc. 363 (3) (2011), 1577-1598].\n  Furthermore, we extend the Bannai","authors_text":"Hadewijch De Clercq, Hendrik De Bie","cross_cats":["math-ph","math.CA","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2019-02-21T06:43:38Z","title":"The $q$-Bannai-Ito algebra and multivariate $(-q)$-Racah and Bannai-Ito polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.07883","kind":"arxiv","version":2},"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":"sha256:58182054b79c5ed66872407292df9711f8f56705d5897e89a663d9d87045b13a","target":"record","created_at":"2026-07-05T01:22:13Z","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":"bc0c9cc86b780bff6550ed8873215928442a34c64c79fa28ba91ab573f2849bf","cross_cats_sorted":["math-ph","math.CA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2019-02-21T06:43:38Z","title_canon_sha256":"e95c41095f8e2a463b9b2f554991fa858b1b65c27b86bf7d8363a496a11060ed"},"schema_version":"1.0","source":{"id":"1902.07883","kind":"arxiv","version":2}},"canonical_sha256":"352732280b56a66d7416ceefa0ad3729559117587a640f65e274adc17bb7e848","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"352732280b56a66d7416ceefa0ad3729559117587a640f65e274adc17bb7e848","first_computed_at":"2026-07-05T01:22:13.641770Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:22:13.641770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WMI/uEZ6myn0a57VF7+5ikGc4dnezQbZBFQ/r+6/zzjDrRZ31pQdhWywhQVuLi/VhPDmu9iHdPIhaotlkwuaDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:22:13.642240Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.07883","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58182054b79c5ed66872407292df9711f8f56705d5897e89a663d9d87045b13a","sha256:44dbafcc04776b9f99219860d1d45983b9541e5a505b6e35942e2e40a43a66d0"],"state_sha256":"5021e70a4ce7d9cbe3438f1949bdf414851721bb964d6b8b418c1962af9ab219"}