{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:IXFMUISUYVD6WNK3V4OCVEGLDV","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":"cfd824b1801db74afd2d0d3cd787ef059c0971618c2c0d3dd20354a40e400b85","cross_cats_sorted":[],"license":"","primary_cat":"math.CA","submitted_at":"1996-02-20T00:00:00Z","title_canon_sha256":"bf9cd156223fab1d86713cf2ed0c779456c2dc063cf4b87a44ff765f849b620f"},"schema_version":"1.0","source":{"id":"math/9602214","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9602214","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"arxiv_version","alias_value":"math/9602214v1","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9602214","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"pith_short_12","alias_value":"IXFMUISUYVD6","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"IXFMUISUYVD6WNK3","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"IXFMUISU","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:93bd5f7511920052602b36825103dae6ea4b6ed07d9274f89f81a703594bd5df","target":"graph","created_at":"2026-05-18T01:05:47Z","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 list the so-called Askey-scheme of hypergeometric orthogonal polynomials. In chapter 1 we give the definition, the orthogonality relation, the three term recurrence relation and generating functions of all classes of orthogonal polynomials in this scheme. In chapeter 2 we give all limit relation between different classes of orthogonal polynomials listed in the Askey-scheme.\n  In chapter 3 we list the q-analogues of the polynomials in the Askey-scheme. We give their definition, orthogonality relation, three term recurrence relation and generating functions. In chapter 4 we give the limit rel","authors_text":"Ren\\'e F. Swarttouw, Roelof Koekoek","cross_cats":[],"headline":"","license":"","primary_cat":"math.CA","submitted_at":"1996-02-20T00:00:00Z","title":"The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9602214","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":"sha256:20f5b3ac7cf113d85cd102fa0a6d7f6f3883929b550bc794fffc0b787de7b5d1","target":"record","created_at":"2026-05-18T01:05:47Z","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":"cfd824b1801db74afd2d0d3cd787ef059c0971618c2c0d3dd20354a40e400b85","cross_cats_sorted":[],"license":"","primary_cat":"math.CA","submitted_at":"1996-02-20T00:00:00Z","title_canon_sha256":"bf9cd156223fab1d86713cf2ed0c779456c2dc063cf4b87a44ff765f849b620f"},"schema_version":"1.0","source":{"id":"math/9602214","kind":"arxiv","version":1}},"canonical_sha256":"45caca2254c547eb355baf1c2a90cb1d408dae9b07b268566771c0badcb99b81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45caca2254c547eb355baf1c2a90cb1d408dae9b07b268566771c0badcb99b81","first_computed_at":"2026-05-18T01:05:47.776678Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:47.776678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/XudPejVCF7OiUaD2e5XvpwXxAGOhJe/pfgMARRKVqcw9BaD91Oyo7VbwLpOVhcCumVlk33BhHjM9l07yhSFDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:47.777744Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9602214","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20f5b3ac7cf113d85cd102fa0a6d7f6f3883929b550bc794fffc0b787de7b5d1","sha256:93bd5f7511920052602b36825103dae6ea4b6ed07d9274f89f81a703594bd5df"],"state_sha256":"d837a3b3061cbd7b1223b4afef252a6da0f22bf1cdd7829efea59a08c3cc9e87"}