{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:SGYSFNOSFNAZTKSS4WDQNRT6TH","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":"f9973584adf6ff30b0862e27c3e5dcea1504dd501c8b4af329bbc37ceba65725","cross_cats_sorted":[],"license":"","primary_cat":"math.CA","submitted_at":"1999-08-27T19:58:04Z","title_canon_sha256":"ba62e3a1dc8f4f85c842269fc9499ef1824d049c4f6e55400657a7fc3af9e587"},"schema_version":"1.0","source":{"id":"math/9908144","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9908144","created_at":"2026-07-04T14:41:17Z"},{"alias_kind":"arxiv_version","alias_value":"math/9908144v1","created_at":"2026-07-04T14:41:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9908144","created_at":"2026-07-04T14:41:17Z"},{"alias_kind":"pith_short_12","alias_value":"SGYSFNOSFNAZ","created_at":"2026-07-04T14:41:17Z"},{"alias_kind":"pith_short_16","alias_value":"SGYSFNOSFNAZTKSS","created_at":"2026-07-04T14:41:17Z"},{"alias_kind":"pith_short_8","alias_value":"SGYSFNOS","created_at":"2026-07-04T14:41:17Z"}],"graph_snapshots":[{"event_id":"sha256:3eaba8a51d393a03a2fd97c4e7526bc5b8da259f1924e0a1366755059930720c","target":"graph","created_at":"2026-07-04T14:41:17Z","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/9908144/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we obtain a set of polynomials which are orthogonal with respect to the classical discrete weight function of the Charlier polynomials at which an extra point mass at x=0 is added. We construct a difference operator of infinite order for which these new discrete orthogonal polynomials are eigenfunctions.","authors_text":"Herman Bavinck, Roelof Koekoek","cross_cats":[],"headline":"","license":"","primary_cat":"math.CA","submitted_at":"1999-08-27T19:58:04Z","title":"On a difference equation for generalizations of Charlier polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9908144","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:fe61e715733f47da0ba23818211e2944b3930d3648cc850a1a30a777e1eb4398","target":"record","created_at":"2026-07-04T14:41:17Z","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":"f9973584adf6ff30b0862e27c3e5dcea1504dd501c8b4af329bbc37ceba65725","cross_cats_sorted":[],"license":"","primary_cat":"math.CA","submitted_at":"1999-08-27T19:58:04Z","title_canon_sha256":"ba62e3a1dc8f4f85c842269fc9499ef1824d049c4f6e55400657a7fc3af9e587"},"schema_version":"1.0","source":{"id":"math/9908144","kind":"arxiv","version":1}},"canonical_sha256":"91b122b5d22b4199aa52e58706c67e99dad814343fd0275552d44d6345b981a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91b122b5d22b4199aa52e58706c67e99dad814343fd0275552d44d6345b981a9","first_computed_at":"2026-07-04T14:41:17.377431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:41:17.377431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a9Qd6qn4ZIZCgae50JwAOr+hC1dRxFOjQpPTCCr2ZJQke5ndFxhTHWPr1o1naJdvoYW8K4hQ6M4BFvHB0ONgDw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:41:17.377823Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9908144","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe61e715733f47da0ba23818211e2944b3930d3648cc850a1a30a777e1eb4398","sha256:3eaba8a51d393a03a2fd97c4e7526bc5b8da259f1924e0a1366755059930720c"],"state_sha256":"76854c15cbe2caf1a108dfdaf0f091120b39c3074378f814f078892cb627513a"}