{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DGNBQ2GUYA2H2P33L4AWLQIOU2","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":"58202dd789a5de8b75d8e3e9666331d8b6bc6bc2e93ed8868ded0f34de3696ab","cross_cats_sorted":["math.CA","math.MP","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-08T20:21:02Z","title_canon_sha256":"595f74e1c17da3f6e2b4d4f1b397127dab4c0bfbfaefbac0eb0e83804fcc86a4"},"schema_version":"1.0","source":{"id":"1211.1963","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1963","created_at":"2026-05-18T03:36:57Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1963v2","created_at":"2026-05-18T03:36:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1963","created_at":"2026-05-18T03:36:57Z"},{"alias_kind":"pith_short_12","alias_value":"DGNBQ2GUYA2H","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"DGNBQ2GUYA2H2P33","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"DGNBQ2GU","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:cc6a05af6f0f00baf4424446719c57f2304a12c47332926897544a2dee18c587","target":"graph","created_at":"2026-05-18T03:36:57Z","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":"Schur-Delsarte-Genin (SDG) maps and Bannai-Ito polynomials are studied. SDG maps are related to dressing chains determined by quadratic algebras. The Bannai-Ito polynomials and their kernel polynomials -- the complementary Bannai-Ito polynomials -- are shown to arise in the framework of the SDG maps.","authors_text":"Alexei Zhedanov, Luc Vinet, Maxim Derevyagin, Satoshi Tsujimoto","cross_cats":["math.CA","math.MP","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-08T20:21:02Z","title":"Bannai-Ito polynomials and dressing chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1963","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:be7954371fab98f12bf592b797f00c445649814df2483c2cdd00db8c1c961e61","target":"record","created_at":"2026-05-18T03:36:57Z","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":"58202dd789a5de8b75d8e3e9666331d8b6bc6bc2e93ed8868ded0f34de3696ab","cross_cats_sorted":["math.CA","math.MP","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-08T20:21:02Z","title_canon_sha256":"595f74e1c17da3f6e2b4d4f1b397127dab4c0bfbfaefbac0eb0e83804fcc86a4"},"schema_version":"1.0","source":{"id":"1211.1963","kind":"arxiv","version":2}},"canonical_sha256":"199a1868d4c0347d3f7b5f0165c10ea6bad3153f0179f82f94965f1ca2aebfab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"199a1868d4c0347d3f7b5f0165c10ea6bad3153f0179f82f94965f1ca2aebfab","first_computed_at":"2026-05-18T03:36:57.894089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:57.894089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eJLGJlZNBhR2yp/N94j5+oTg1YOrtp4QuCkxC3wvVjA1pjPyY78OjZt6hZ4X/6LY47Q3Kqou/P4a4eKNhr9lDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:57.894533Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.1963","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be7954371fab98f12bf592b797f00c445649814df2483c2cdd00db8c1c961e61","sha256:cc6a05af6f0f00baf4424446719c57f2304a12c47332926897544a2dee18c587"],"state_sha256":"cc2e5023d2b3fc27e4028051578f126a9e2ee73785771aea012237628ebffcf3"}