{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:DKKRDNPOJVNPCWW2B3HVRPSCZU","short_pith_number":"pith:DKKRDNPO","schema_version":"1.0","canonical_sha256":"1a9511b5ee4d5af15ada0ecf58be42cd32de558724c36d51931a2dd5a48280c7","source":{"kind":"arxiv","id":"1006.3210","version":3},"attestation_state":"computed","paper":{"title":"Some operator identities related to $q-$Hermite polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Johann Cigler","submitted_at":"2010-06-16T13:34:47Z","abstract_excerpt":"Some $q-$analogues of the normal ordering of the operator $(X+sD)^n$ on the polynomials are derived."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1006.3210","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-06-16T13:34:47Z","cross_cats_sorted":[],"title_canon_sha256":"b918358c55532a23c648a379f3cbab8d01a12d506b11acf7399028672e9e8291","abstract_canon_sha256":"9af5fd5d9e4540336a7934644219d0b83c5a7c15a7b823eefd23f4ae61426321"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:09.975168Z","signature_b64":"cqZ6/V0hQv7Ir12h+RLEVb7WbeUekmiTAG3xq9FL54shET5n4viQvU3ZZMOXG61gI9M4y7a4dzW2Lm5BksKFBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a9511b5ee4d5af15ada0ecf58be42cd32de558724c36d51931a2dd5a48280c7","last_reissued_at":"2026-05-18T04:39:09.974621Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:09.974621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some operator identities related to $q-$Hermite polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Johann Cigler","submitted_at":"2010-06-16T13:34:47Z","abstract_excerpt":"Some $q-$analogues of the normal ordering of the operator $(X+sD)^n$ on the polynomials are derived."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.3210","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1006.3210","created_at":"2026-05-18T04:39:09.974703+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.3210v3","created_at":"2026-05-18T04:39:09.974703+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.3210","created_at":"2026-05-18T04:39:09.974703+00:00"},{"alias_kind":"pith_short_12","alias_value":"DKKRDNPOJVNP","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"DKKRDNPOJVNPCWW2","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"DKKRDNPO","created_at":"2026-05-18T12:26:06.534383+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DKKRDNPOJVNPCWW2B3HVRPSCZU","json":"https://pith.science/pith/DKKRDNPOJVNPCWW2B3HVRPSCZU.json","graph_json":"https://pith.science/api/pith-number/DKKRDNPOJVNPCWW2B3HVRPSCZU/graph.json","events_json":"https://pith.science/api/pith-number/DKKRDNPOJVNPCWW2B3HVRPSCZU/events.json","paper":"https://pith.science/paper/DKKRDNPO"},"agent_actions":{"view_html":"https://pith.science/pith/DKKRDNPOJVNPCWW2B3HVRPSCZU","download_json":"https://pith.science/pith/DKKRDNPOJVNPCWW2B3HVRPSCZU.json","view_paper":"https://pith.science/paper/DKKRDNPO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.3210&json=true","fetch_graph":"https://pith.science/api/pith-number/DKKRDNPOJVNPCWW2B3HVRPSCZU/graph.json","fetch_events":"https://pith.science/api/pith-number/DKKRDNPOJVNPCWW2B3HVRPSCZU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DKKRDNPOJVNPCWW2B3HVRPSCZU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DKKRDNPOJVNPCWW2B3HVRPSCZU/action/storage_attestation","attest_author":"https://pith.science/pith/DKKRDNPOJVNPCWW2B3HVRPSCZU/action/author_attestation","sign_citation":"https://pith.science/pith/DKKRDNPOJVNPCWW2B3HVRPSCZU/action/citation_signature","submit_replication":"https://pith.science/pith/DKKRDNPOJVNPCWW2B3HVRPSCZU/action/replication_record"}},"created_at":"2026-05-18T04:39:09.974703+00:00","updated_at":"2026-05-18T04:39:09.974703+00:00"}