{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:LY3K7CR5XTB6EA2KJXEOSLP7VN","short_pith_number":"pith:LY3K7CR5","canonical_record":{"source":{"id":"math/0410249","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CA","submitted_at":"2004-10-10T03:26:24Z","cross_cats_sorted":[],"title_canon_sha256":"1f1bd9c7e9877ea8d0a7435c7713805d0b10a128dd9b8090619fe9307bf3473d","abstract_canon_sha256":"24118d954d449cdc0a2a327a0398cb3c9912434e40297697dbb8a92ee98469fa"},"schema_version":"1.0"},"canonical_sha256":"5e36af8a3dbcc3e2034a4dc8e92dffab4724995758f57f57933bee8436591166","source":{"kind":"arxiv","id":"math/0410249","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0410249","created_at":"2026-07-04T14:39:09Z"},{"alias_kind":"arxiv_version","alias_value":"math/0410249v1","created_at":"2026-07-04T14:39:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0410249","created_at":"2026-07-04T14:39:09Z"},{"alias_kind":"pith_short_12","alias_value":"LY3K7CR5XTB6","created_at":"2026-07-04T14:39:09Z"},{"alias_kind":"pith_short_16","alias_value":"LY3K7CR5XTB6EA2K","created_at":"2026-07-04T14:39:09Z"},{"alias_kind":"pith_short_8","alias_value":"LY3K7CR5","created_at":"2026-07-04T14:39:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:LY3K7CR5XTB6EA2KJXEOSLP7VN","target":"record","payload":{"canonical_record":{"source":{"id":"math/0410249","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CA","submitted_at":"2004-10-10T03:26:24Z","cross_cats_sorted":[],"title_canon_sha256":"1f1bd9c7e9877ea8d0a7435c7713805d0b10a128dd9b8090619fe9307bf3473d","abstract_canon_sha256":"24118d954d449cdc0a2a327a0398cb3c9912434e40297697dbb8a92ee98469fa"},"schema_version":"1.0"},"canonical_sha256":"5e36af8a3dbcc3e2034a4dc8e92dffab4724995758f57f57933bee8436591166","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:39:09.635806Z","signature_b64":"wZDRYumU7sYn7A6tFTPs78ziWpKVjYzi8eusUwGNusTpVziZidT1c0yrM2x7M6dTIMovBTKEzeTUKmwHolsqBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e36af8a3dbcc3e2034a4dc8e92dffab4724995758f57f57933bee8436591166","last_reissued_at":"2026-07-04T14:39:09.635453Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:39:09.635453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0410249","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:39:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dx2oc2rlZeWrcSQaNJ+G7LmFzIYGIwlQvOYHcXiN8iESM6HjtQ1mg/n5aNXQ09NmquiWR/HfkCtCm3vKJjdQBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T00:40:44.823149Z"},"content_sha256":"12b7f69ead1ffe61ab5344b7e32eef95e968185ac64729985998234ea1703e3c","schema_version":"1.0","event_id":"sha256:12b7f69ead1ffe61ab5344b7e32eef95e968185ac64729985998234ea1703e3c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:LY3K7CR5XTB6EA2KJXEOSLP7VN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials","license":"","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"George Gasper, Mizan Rahman","submitted_at":"2004-10-10T03:26:24Z","abstract_excerpt":"In 1991 Tratnik derived two systems of multivariable orthogonal Wilson polynomials and considered their limit cases. q-Analogues of these systems are derived, yielding systems of multivariable orthogonal Askey-Wilson polynomials and their special and limit cases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0410249","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/math/0410249/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:39:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ch75ByYFSOHme3x8+j08GUnfA5TufzfVS8fWH4G8SbxyZzR78SpNciWOm/QsUMYD2uARDrbNDUVvnbYYDhguAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T00:40:44.823640Z"},"content_sha256":"0bb9f80e0c656df52d10ab07e96551057f27a125c04900e5f2274c9fcfb8c270","schema_version":"1.0","event_id":"sha256:0bb9f80e0c656df52d10ab07e96551057f27a125c04900e5f2274c9fcfb8c270"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LY3K7CR5XTB6EA2KJXEOSLP7VN/bundle.json","state_url":"https://pith.science/pith/LY3K7CR5XTB6EA2KJXEOSLP7VN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LY3K7CR5XTB6EA2KJXEOSLP7VN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-16T00:40:44Z","links":{"resolver":"https://pith.science/pith/LY3K7CR5XTB6EA2KJXEOSLP7VN","bundle":"https://pith.science/pith/LY3K7CR5XTB6EA2KJXEOSLP7VN/bundle.json","state":"https://pith.science/pith/LY3K7CR5XTB6EA2KJXEOSLP7VN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LY3K7CR5XTB6EA2KJXEOSLP7VN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:LY3K7CR5XTB6EA2KJXEOSLP7VN","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":"24118d954d449cdc0a2a327a0398cb3c9912434e40297697dbb8a92ee98469fa","cross_cats_sorted":[],"license":"","primary_cat":"math.CA","submitted_at":"2004-10-10T03:26:24Z","title_canon_sha256":"1f1bd9c7e9877ea8d0a7435c7713805d0b10a128dd9b8090619fe9307bf3473d"},"schema_version":"1.0","source":{"id":"math/0410249","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0410249","created_at":"2026-07-04T14:39:09Z"},{"alias_kind":"arxiv_version","alias_value":"math/0410249v1","created_at":"2026-07-04T14:39:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0410249","created_at":"2026-07-04T14:39:09Z"},{"alias_kind":"pith_short_12","alias_value":"LY3K7CR5XTB6","created_at":"2026-07-04T14:39:09Z"},{"alias_kind":"pith_short_16","alias_value":"LY3K7CR5XTB6EA2K","created_at":"2026-07-04T14:39:09Z"},{"alias_kind":"pith_short_8","alias_value":"LY3K7CR5","created_at":"2026-07-04T14:39:09Z"}],"graph_snapshots":[{"event_id":"sha256:0bb9f80e0c656df52d10ab07e96551057f27a125c04900e5f2274c9fcfb8c270","target":"graph","created_at":"2026-07-04T14:39:09Z","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/math/0410249/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In 1991 Tratnik derived two systems of multivariable orthogonal Wilson polynomials and considered their limit cases. q-Analogues of these systems are derived, yielding systems of multivariable orthogonal Askey-Wilson polynomials and their special and limit cases.","authors_text":"George Gasper, Mizan Rahman","cross_cats":[],"headline":"","license":"","primary_cat":"math.CA","submitted_at":"2004-10-10T03:26:24Z","title":"Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0410249","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":"sha256:12b7f69ead1ffe61ab5344b7e32eef95e968185ac64729985998234ea1703e3c","target":"record","created_at":"2026-07-04T14:39:09Z","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":"24118d954d449cdc0a2a327a0398cb3c9912434e40297697dbb8a92ee98469fa","cross_cats_sorted":[],"license":"","primary_cat":"math.CA","submitted_at":"2004-10-10T03:26:24Z","title_canon_sha256":"1f1bd9c7e9877ea8d0a7435c7713805d0b10a128dd9b8090619fe9307bf3473d"},"schema_version":"1.0","source":{"id":"math/0410249","kind":"arxiv","version":1}},"canonical_sha256":"5e36af8a3dbcc3e2034a4dc8e92dffab4724995758f57f57933bee8436591166","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e36af8a3dbcc3e2034a4dc8e92dffab4724995758f57f57933bee8436591166","first_computed_at":"2026-07-04T14:39:09.635453Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:39:09.635453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wZDRYumU7sYn7A6tFTPs78ziWpKVjYzi8eusUwGNusTpVziZidT1c0yrM2x7M6dTIMovBTKEzeTUKmwHolsqBw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:39:09.635806Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0410249","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12b7f69ead1ffe61ab5344b7e32eef95e968185ac64729985998234ea1703e3c","sha256:0bb9f80e0c656df52d10ab07e96551057f27a125c04900e5f2274c9fcfb8c270"],"state_sha256":"78130cd159d32b229183847a913b7cf8af68010cb252f38629cea307490224f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qID6dtlGnAKFZ6aTf7nN9+DyZJmeTLzDM/Mu+hAefvj1eG0hI+6e1SPQZHRav74hnu+f2VXm8tcZ7ez2K38LBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T00:40:44.827112Z","bundle_sha256":"0bee2f3971671fc0b928a8d8ea1f3d5ad7742ee97d846a701ec183f3936e3c9f"}}