{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VW4334MF4YFMMRNDXMU7MQHAXJ","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":"06bbb985ea58650bb9ee21ef8692c76ba57ef431aa2099d8c76511b126bdc4ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-04-01T10:01:16Z","title_canon_sha256":"e8d2e8e2567d8869c7d584bb188307343e40e8a038a06487b5c8e950c246028b"},"schema_version":"1.0","source":{"id":"1604.00186","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.00186","created_at":"2026-05-18T01:17:54Z"},{"alias_kind":"arxiv_version","alias_value":"1604.00186v1","created_at":"2026-05-18T01:17:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00186","created_at":"2026-05-18T01:17:54Z"},{"alias_kind":"pith_short_12","alias_value":"VW4334MF4YFM","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VW4334MF4YFMMRND","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VW4334MF","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:2dc575340b2b0938600ea30108ff04f09c634e276d3956cb54e8e612fef949f2","target":"graph","created_at":"2026-05-18T01:17:54Z","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":"This paper is devoted to characterizations classical orthogonal polynomials on quadratic lattices by using a matrix approach. In this form we recover the Hahn, Geronimus, Tricomi and Bochner type characterizations of classical orthogonal polynomials on quadratic lattices. Moreover a new characterization is also presented. From the Bochner type characterization we derive the three-term recurrence relation coefficients for these polynomials.","authors_text":"A. Branquinho, I. Area, M. Foupouagnigni, M. Njinkeu Sandjon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-04-01T10:01:16Z","title":"Characterizations of classical orthogonal polynomials on quadratic lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00186","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":"sha256:4434b2905d74048933f624125fa546e2c9fc33c6d9db943246fbef26429699ff","target":"record","created_at":"2026-05-18T01:17:54Z","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":"06bbb985ea58650bb9ee21ef8692c76ba57ef431aa2099d8c76511b126bdc4ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-04-01T10:01:16Z","title_canon_sha256":"e8d2e8e2567d8869c7d584bb188307343e40e8a038a06487b5c8e950c246028b"},"schema_version":"1.0","source":{"id":"1604.00186","kind":"arxiv","version":1}},"canonical_sha256":"adb9bdf185e60ac645a3bb29f640e0ba503356fd8940d1ce8596b2c354c65843","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"adb9bdf185e60ac645a3bb29f640e0ba503356fd8940d1ce8596b2c354c65843","first_computed_at":"2026-05-18T01:17:54.356449Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:54.356449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ai/edTfIV9oGheUEdK2QP1GBa5IpUHXimiZCCxR7HAyBm8JQ3J4NyE5hzuC7IfBQvbGzquNOmtJQzPVkKFt6Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:54.356969Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.00186","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4434b2905d74048933f624125fa546e2c9fc33c6d9db943246fbef26429699ff","sha256:2dc575340b2b0938600ea30108ff04f09c634e276d3956cb54e8e612fef949f2"],"state_sha256":"91b082b202666f11b4c3be306e2f064fb5595635ea5c005a41c220bfceb23866"}