{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DKKRDNPOJVNPCWW2B3HVRPSCZU","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":"9af5fd5d9e4540336a7934644219d0b83c5a7c15a7b823eefd23f4ae61426321","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-06-16T13:34:47Z","title_canon_sha256":"b918358c55532a23c648a379f3cbab8d01a12d506b11acf7399028672e9e8291"},"schema_version":"1.0","source":{"id":"1006.3210","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.3210","created_at":"2026-05-18T04:39:09Z"},{"alias_kind":"arxiv_version","alias_value":"1006.3210v3","created_at":"2026-05-18T04:39:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.3210","created_at":"2026-05-18T04:39:09Z"},{"alias_kind":"pith_short_12","alias_value":"DKKRDNPOJVNP","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DKKRDNPOJVNPCWW2","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DKKRDNPO","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:d010a35d6a506a5a346c36695145fed31e9578fee06513c60e8108dcf9fdb655","target":"graph","created_at":"2026-05-18T04:39:09Z","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":"Some $q-$analogues of the normal ordering of the operator $(X+sD)^n$ on the polynomials are derived.","authors_text":"Johann Cigler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-06-16T13:34:47Z","title":"Some operator identities related to $q-$Hermite polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.3210","kind":"arxiv","version":3},"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":"sha256:31781609fed85edcdfadc7cf0e44364d80373dc2752990a13eb847dd34753d80","target":"record","created_at":"2026-05-18T04:39:09Z","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":"9af5fd5d9e4540336a7934644219d0b83c5a7c15a7b823eefd23f4ae61426321","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-06-16T13:34:47Z","title_canon_sha256":"b918358c55532a23c648a379f3cbab8d01a12d506b11acf7399028672e9e8291"},"schema_version":"1.0","source":{"id":"1006.3210","kind":"arxiv","version":3}},"canonical_sha256":"1a9511b5ee4d5af15ada0ecf58be42cd32de558724c36d51931a2dd5a48280c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a9511b5ee4d5af15ada0ecf58be42cd32de558724c36d51931a2dd5a48280c7","first_computed_at":"2026-05-18T04:39:09.974621Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:09.974621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cqZ6/V0hQv7Ir12h+RLEVb7WbeUekmiTAG3xq9FL54shET5n4viQvU3ZZMOXG61gI9M4y7a4dzW2Lm5BksKFBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:09.975168Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.3210","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31781609fed85edcdfadc7cf0e44364d80373dc2752990a13eb847dd34753d80","sha256:d010a35d6a506a5a346c36695145fed31e9578fee06513c60e8108dcf9fdb655"],"state_sha256":"0dfdaca5fd6995044d4ceaf1e6b13dfd356c236f954d6694d5697824b0cb4292"}