{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:CVIARKCXC2LLHYRS4CHMGBQAI5","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":"96be48265eba54c2adc10a8bf7afaca0430aff9810e6ce6de9bffcd292462d68","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-10-09T13:36:08Z","title_canon_sha256":"9c0fc52b5d872ae70b455078bd5427f8a28be473a4e4278137bcd2e103381d24"},"schema_version":"1.0","source":{"id":"2210.04263","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.04263","created_at":"2026-07-05T10:02:39Z"},{"alias_kind":"arxiv_version","alias_value":"2210.04263v3","created_at":"2026-07-05T10:02:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.04263","created_at":"2026-07-05T10:02:39Z"},{"alias_kind":"pith_short_12","alias_value":"CVIARKCXC2LL","created_at":"2026-07-05T10:02:39Z"},{"alias_kind":"pith_short_16","alias_value":"CVIARKCXC2LLHYRS","created_at":"2026-07-05T10:02:39Z"},{"alias_kind":"pith_short_8","alias_value":"CVIARKCX","created_at":"2026-07-05T10:02:39Z"}],"graph_snapshots":[{"event_id":"sha256:720ba231d61da1215700fd88419a6c82beaf55d35932736a13d8341a8a20b329","target":"graph","created_at":"2026-07-05T10:02:39Z","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/2210.04263/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Following the method of induced group representations of Wigner-Mackay, the explicit construction of all the unitary irreducible representations of the discrete finite Heisenberg-Weyl group $HW_{2^s}$ over the discrete phase space lattice $Z_{2^s}$ $\\otimes$ $Z_{2^s}$ is presented. We explicitly determine their characters and their fusion rules. We discuss possible physical applications for finite quantum mechanics and quantum computation.","authors_text":"E. Floratos, I. Tsohantjis","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-10-09T13:36:08Z","title":"Complete set of unitary irreps of Discrete Heisenberg Group $HW_{2^s}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.04263","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":"sha256:7cc6ea588fad9409ddfedcc23e5987c2656231638c336c50b4463f557c888d82","target":"record","created_at":"2026-07-05T10:02:39Z","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":"96be48265eba54c2adc10a8bf7afaca0430aff9810e6ce6de9bffcd292462d68","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-10-09T13:36:08Z","title_canon_sha256":"9c0fc52b5d872ae70b455078bd5427f8a28be473a4e4278137bcd2e103381d24"},"schema_version":"1.0","source":{"id":"2210.04263","kind":"arxiv","version":3}},"canonical_sha256":"155008a8571696b3e232e08ec30600474e07c22d2e9ac2cc94bb1653e7485d0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"155008a8571696b3e232e08ec30600474e07c22d2e9ac2cc94bb1653e7485d0e","first_computed_at":"2026-07-05T10:02:39.521079Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:02:39.521079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"szPEeexZh7YVnfsEp01UkO2E8otemC2XHmjLwbpg0FKIkgleW2FwldOvZ+AWNL/pvUFZeU6NOWki5tri67DoBw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:02:39.521474Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.04263","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7cc6ea588fad9409ddfedcc23e5987c2656231638c336c50b4463f557c888d82","sha256:720ba231d61da1215700fd88419a6c82beaf55d35932736a13d8341a8a20b329"],"state_sha256":"e708d357a0cd6c8f9fcb84835b7df7ff238d9c6f29a065d7c6ee96f2b7d20e36"}