{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:QXSVKIOYN2TAZBCN7EETHRB7ZJ","short_pith_number":"pith:QXSVKIOY","schema_version":"1.0","canonical_sha256":"85e55521d86ea60c844df90933c43fca4026ed740ad12a4d1924befd6acc9fec","source":{"kind":"arxiv","id":"1809.05166","version":1},"attestation_state":"computed","paper":{"title":"On moduli space of the Wigner quasiprobability distributions for $N$-dimensional quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Arsen Khvedelidze, Astghik Torosyan, Vahagn Abgaryan","submitted_at":"2018-09-13T20:27:51Z","abstract_excerpt":"A mapping between operators on the Hilbert space of $N$-dimensional quantum system and the Wigner quasiprobability distributions defined on the symplectic flag manifold is discussed. The Wigner quasiprobability distribution is constructed as a dual pairing between the density matrix and the Stratonovich-Weyl kernel. It is shown that the moduli space of the Stratonovich-Weyl kernel is given by an intersection of the coadjoint orbit space of the $SU(N)$ group and a unit $(N-2)$-dimensional sphere. The general consideration is exemplified by a detailed description of the moduli space of 2, 3 and "},"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":"1809.05166","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-09-13T20:27:51Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d0e2b6a68a4569c1b1cb32c108e1a970e9762a41d6d21d884fa0feaeec8a585c","abstract_canon_sha256":"dc5107d5b0a0a1dff16200b490f7ece7e13ce1d3052c0903cd8105996a0297e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:44.575936Z","signature_b64":"KT4BG0jMO0xBgh8KgZOyLvO4I/HoUAA9IWOFVR0vkd4ToHdaOaUNBG6rHC45vNkizQud5ZEpRONaaI+fv86aBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85e55521d86ea60c844df90933c43fca4026ed740ad12a4d1924befd6acc9fec","last_reissued_at":"2026-05-18T00:05:44.575237Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:44.575237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On moduli space of the Wigner quasiprobability distributions for $N$-dimensional quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Arsen Khvedelidze, Astghik Torosyan, Vahagn Abgaryan","submitted_at":"2018-09-13T20:27:51Z","abstract_excerpt":"A mapping between operators on the Hilbert space of $N$-dimensional quantum system and the Wigner quasiprobability distributions defined on the symplectic flag manifold is discussed. The Wigner quasiprobability distribution is constructed as a dual pairing between the density matrix and the Stratonovich-Weyl kernel. It is shown that the moduli space of the Stratonovich-Weyl kernel is given by an intersection of the coadjoint orbit space of the $SU(N)$ group and a unit $(N-2)$-dimensional sphere. The general consideration is exemplified by a detailed description of the moduli space of 2, 3 and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.05166","kind":"arxiv","version":1},"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":"1809.05166","created_at":"2026-05-18T00:05:44.575325+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.05166v1","created_at":"2026-05-18T00:05:44.575325+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.05166","created_at":"2026-05-18T00:05:44.575325+00:00"},{"alias_kind":"pith_short_12","alias_value":"QXSVKIOYN2TA","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_16","alias_value":"QXSVKIOYN2TAZBCN","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_8","alias_value":"QXSVKIOY","created_at":"2026-05-18T12:32:50.500415+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/QXSVKIOYN2TAZBCN7EETHRB7ZJ","json":"https://pith.science/pith/QXSVKIOYN2TAZBCN7EETHRB7ZJ.json","graph_json":"https://pith.science/api/pith-number/QXSVKIOYN2TAZBCN7EETHRB7ZJ/graph.json","events_json":"https://pith.science/api/pith-number/QXSVKIOYN2TAZBCN7EETHRB7ZJ/events.json","paper":"https://pith.science/paper/QXSVKIOY"},"agent_actions":{"view_html":"https://pith.science/pith/QXSVKIOYN2TAZBCN7EETHRB7ZJ","download_json":"https://pith.science/pith/QXSVKIOYN2TAZBCN7EETHRB7ZJ.json","view_paper":"https://pith.science/paper/QXSVKIOY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.05166&json=true","fetch_graph":"https://pith.science/api/pith-number/QXSVKIOYN2TAZBCN7EETHRB7ZJ/graph.json","fetch_events":"https://pith.science/api/pith-number/QXSVKIOYN2TAZBCN7EETHRB7ZJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QXSVKIOYN2TAZBCN7EETHRB7ZJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QXSVKIOYN2TAZBCN7EETHRB7ZJ/action/storage_attestation","attest_author":"https://pith.science/pith/QXSVKIOYN2TAZBCN7EETHRB7ZJ/action/author_attestation","sign_citation":"https://pith.science/pith/QXSVKIOYN2TAZBCN7EETHRB7ZJ/action/citation_signature","submit_replication":"https://pith.science/pith/QXSVKIOYN2TAZBCN7EETHRB7ZJ/action/replication_record"}},"created_at":"2026-05-18T00:05:44.575325+00:00","updated_at":"2026-05-18T00:05:44.575325+00:00"}