{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZGTVPAVKVQWTGV6GI4MCTYVOFX","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":"bd37f2668557ea9a94d4e176992774050cece75dc2648ae1f7d11dda5241694e","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-03-27T14:21:44Z","title_canon_sha256":"f3e71eb8c4bfd810bddf1790cc7918d5cd725931e381a977ffa91e816d756871"},"schema_version":"1.0","source":{"id":"1403.8080","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.8080","created_at":"2026-05-18T02:55:11Z"},{"alias_kind":"arxiv_version","alias_value":"1403.8080v1","created_at":"2026-05-18T02:55:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.8080","created_at":"2026-05-18T02:55:11Z"},{"alias_kind":"pith_short_12","alias_value":"ZGTVPAVKVQWT","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZGTVPAVKVQWTGV6G","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZGTVPAVK","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:401814b73078f054e73c35cd282b54d22cd459b8fbb689f58b9c19e13e8e6926","target":"graph","created_at":"2026-05-18T02:55:11Z","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":"In this paper, we construct a new family of q-Hermite polynomials denoted by Hn(x,s|q). Main properties and relations are established and proved. In addition, is deduced a sequence of novel polynomials, Ln(. ,.|q), which appear to be connected with well known (q,n)-exponential functions E{q,n}(.), introduced by Ernst in his work entitled: (A New Method for q-calculus, Uppsala Dissertations in Mathematics, Vol. 25, 2002). Relevant results spread in the literature are retrieved as particular cases. Fourier integral transforms are explicitly computed and discussed. A (q;p)-extension of the Hn(x,s","authors_text":"Mahouton Norbert Hounkonnou, Sama Arjika, Won Sang Chung","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-03-27T14:21:44Z","title":"New families of q and (q;p)-Hermite polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.8080","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":"sha256:3ba229810e66f6c20a0b12faa70fa7c53c463cdee85438b7da8baa1c2bfbda94","target":"record","created_at":"2026-05-18T02:55:11Z","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":"bd37f2668557ea9a94d4e176992774050cece75dc2648ae1f7d11dda5241694e","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-03-27T14:21:44Z","title_canon_sha256":"f3e71eb8c4bfd810bddf1790cc7918d5cd725931e381a977ffa91e816d756871"},"schema_version":"1.0","source":{"id":"1403.8080","kind":"arxiv","version":1}},"canonical_sha256":"c9a75782aaac2d3357c6471829e2ae2dd214db3ffc81f68981d804ed2a8c599a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9a75782aaac2d3357c6471829e2ae2dd214db3ffc81f68981d804ed2a8c599a","first_computed_at":"2026-05-18T02:55:11.874685Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:11.874685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T8d1lelytK68Lo2oLZL+S55pPzbyVp1+A9IqfGCDF28X0dvcnmwQM5Huv74Qhkz1lh/ZPQlSrM78QLORAASLCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:11.875149Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.8080","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ba229810e66f6c20a0b12faa70fa7c53c463cdee85438b7da8baa1c2bfbda94","sha256:401814b73078f054e73c35cd282b54d22cd459b8fbb689f58b9c19e13e8e6926"],"state_sha256":"6e92387594e32cb9134e121c4c154528d377406365fe3a08d099a2ef6e3e2963"}