{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:W54UPUZYADAWYSBZK66MU562UV","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":"0a3bcecd60f5f05fe55a207b5616529a9f5964ca243d1028dffc125dd7c8abd3","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-04-27T04:10:28Z","title_canon_sha256":"30da479632b03a92001dba9b807faf739d3633246a35ee96795b03726db5c0c1"},"schema_version":"1.0","source":{"id":"1004.4706","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.4706","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"arxiv_version","alias_value":"1004.4706v3","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.4706","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"pith_short_12","alias_value":"W54UPUZYADAW","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"W54UPUZYADAWYSBZ","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"W54UPUZY","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:1ad14c99cef1b1e0406a051cbb8b411deacd4b02fabd737fe8013a30c4242fee","target":"graph","created_at":"2026-05-18T04:05:27Z","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":"By using a coherent state quantization of paragrassmann variables, operators are constructed in finite Hilbert spaces. We thus obtain in a straightforward way a matrix representation of the paragrassmann algebra. This algebra of finite matrices realizes a deformed Weyl-Heisenberg algebra. The study of mean values in coherent states of some of these operators lead to interesting conclusions.","authors_text":"J.P. Gazeau, M. El Baz, R. Fresneda, Y. Hassouni","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-04-27T04:10:28Z","title":"Coherent state quantization of paragrassmann algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.4706","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":"sha256:8efe201477f27ef58876662aad72d33ba6638cab0f951b721647df059fe85bff","target":"record","created_at":"2026-05-18T04:05:27Z","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":"0a3bcecd60f5f05fe55a207b5616529a9f5964ca243d1028dffc125dd7c8abd3","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-04-27T04:10:28Z","title_canon_sha256":"30da479632b03a92001dba9b807faf739d3633246a35ee96795b03726db5c0c1"},"schema_version":"1.0","source":{"id":"1004.4706","kind":"arxiv","version":3}},"canonical_sha256":"b77947d33800c16c483957bcca77daa5496e85be686d27e75973242964230fd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b77947d33800c16c483957bcca77daa5496e85be686d27e75973242964230fd6","first_computed_at":"2026-05-18T04:05:27.915714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:27.915714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O2PG9w91MQvkp5jku52GlDF6zX5ZIow0FF/S2EQivlnyIrMhf8vVF+OU52Ya9Gnj42zKNq9X1NhwCjG7MdwhCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:27.916395Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.4706","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8efe201477f27ef58876662aad72d33ba6638cab0f951b721647df059fe85bff","sha256:1ad14c99cef1b1e0406a051cbb8b411deacd4b02fabd737fe8013a30c4242fee"],"state_sha256":"d10f375c0b6ef5e00282657c4541e7fe9d09842490e907012e979d0bce270593"}