{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:DS3GBP5DTTILGB27HOLM7IPSKW","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":"0baed709cfb110263713f785d1c56c8f019955ad383153e6ae0ed41e35df2cc3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-04-22T14:38:01Z","title_canon_sha256":"b8eb264a36101785a390e39e874c7902042e9e23f40f50c43ea69113fbe0c333"},"schema_version":"1.0","source":{"id":"1104.4452","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4452","created_at":"2026-05-18T02:02:16Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4452v1","created_at":"2026-05-18T02:02:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4452","created_at":"2026-05-18T02:02:16Z"},{"alias_kind":"pith_short_12","alias_value":"DS3GBP5DTTIL","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DS3GBP5DTTILGB27","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DS3GBP5D","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:c9addba3b126ce3f214cbd222630c0c0bb63230a94c357a886c3f4b78fbcb169","target":"graph","created_at":"2026-05-18T02:02:16Z","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":"This paper focuses on phase operators, phase states and vector phase states for the sl(3) Lie algebra. We introduce a one-parameter generalized oscillator algebra A(k,2) which provides a unified scheme for dealing with su(3) (for k < 0), su(2,1) (for k > 0) and h(4) x h(4) (for k = 0) symmetries. Finite- and infinite-dimensional representations of A(k,2) are constructed for k < 0 and k > 0 or = 0, respectively. Phase operators associated with A(k,2) are defined and temporally stable phase states (as well as vector phase states) are constructed as eigenstates of these operators. Finally, we dis","authors_text":"Maurice Robert Kibler (IPNL), Mohammed Daoud (IPNL)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-04-22T14:38:01Z","title":"Phase operators, phase states and vector phase states for SU(3) and SU(2,1)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4452","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":"sha256:7097944b9d16a6cf73ece0ea9607d404c9fcf8edf44bbf818e1b784c21be3bb7","target":"record","created_at":"2026-05-18T02:02:16Z","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":"0baed709cfb110263713f785d1c56c8f019955ad383153e6ae0ed41e35df2cc3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-04-22T14:38:01Z","title_canon_sha256":"b8eb264a36101785a390e39e874c7902042e9e23f40f50c43ea69113fbe0c333"},"schema_version":"1.0","source":{"id":"1104.4452","kind":"arxiv","version":1}},"canonical_sha256":"1cb660bfa39cd0b3075f3b96cfa1f255ad35fba59011680c6170d2985e55fe15","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1cb660bfa39cd0b3075f3b96cfa1f255ad35fba59011680c6170d2985e55fe15","first_computed_at":"2026-05-18T02:02:16.208217Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:02:16.208217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oVwaDtBiKe/5JGy8Ct/+2pZLZBtMbb8voNFbbYyFLjHom4nxzJwwmm+YROFDfqgrqwbj1CIBDYdp7SUG/iMTCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:02:16.208835Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.4452","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7097944b9d16a6cf73ece0ea9607d404c9fcf8edf44bbf818e1b784c21be3bb7","sha256:c9addba3b126ce3f214cbd222630c0c0bb63230a94c357a886c3f4b78fbcb169"],"state_sha256":"0371e30e42de8ca46b7bb83c8d7b401d24dd19bd7d449bcf8492e228d0934434"}