{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:HYCCTSGLXX65KIFJPJUG2JXHF2","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":"29cc9825ca360d5b24787f4dcf1da57c2f50a67ed0ed40f76cad30ebb7f3a832","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-05-02T09:14:31Z","title_canon_sha256":"6e65f4bc92596a82db939f5db207ff8b948b2307b4ea48d0e912a2f31b18176e"},"schema_version":"1.0","source":{"id":"2305.01270","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.01270","created_at":"2026-07-05T06:06:23Z"},{"alias_kind":"arxiv_version","alias_value":"2305.01270v1","created_at":"2026-07-05T06:06:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.01270","created_at":"2026-07-05T06:06:23Z"},{"alias_kind":"pith_short_12","alias_value":"HYCCTSGLXX65","created_at":"2026-07-05T06:06:23Z"},{"alias_kind":"pith_short_16","alias_value":"HYCCTSGLXX65KIFJ","created_at":"2026-07-05T06:06:23Z"},{"alias_kind":"pith_short_8","alias_value":"HYCCTSGL","created_at":"2026-07-05T06:06:23Z"}],"graph_snapshots":[{"event_id":"sha256:e5145517a948062e4c427bf493736eb944a673871c5bd6cfa19d0fe761d627b7","target":"graph","created_at":"2026-07-05T06:06:23Z","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/2305.01270/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we classify the orbits of the group SL(3,F)^3 on the space F^3\\otimes F^3\\otimes F^3 for F=C and F=R. This is known as the classification of complex and real 3-qutrit states. We also give an overview of physical theories where these classifications are relevant.","authors_text":"Alessio Marrani, Sabino Di Trani, Willem A. de Graaf","cross_cats":["math-ph","math.MP","math.RT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-05-02T09:14:31Z","title":"Classification of real and complex 3-qutrit states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.01270","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":"sha256:7038905b0558382e5c4d07c7c9016ff80cd4532ca1a084bd1489cb940b918b59","target":"record","created_at":"2026-07-05T06:06:23Z","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":"29cc9825ca360d5b24787f4dcf1da57c2f50a67ed0ed40f76cad30ebb7f3a832","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-05-02T09:14:31Z","title_canon_sha256":"6e65f4bc92596a82db939f5db207ff8b948b2307b4ea48d0e912a2f31b18176e"},"schema_version":"1.0","source":{"id":"2305.01270","kind":"arxiv","version":1}},"canonical_sha256":"3e0429c8cbbdfdd520a97a686d26e72e9bbba48ec0840403a55be6cde4419b96","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e0429c8cbbdfdd520a97a686d26e72e9bbba48ec0840403a55be6cde4419b96","first_computed_at":"2026-07-05T06:06:23.638684Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:06:23.638684Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"En1PRzpHq9NLKOHUgzQcHfqhmuPqyLovhWHJCyYZMXKVs3PAimc7UXvlg1Q8h2Si8qmjjwVV3V7Q/dlioKwHBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:06:23.639159Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.01270","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7038905b0558382e5c4d07c7c9016ff80cd4532ca1a084bd1489cb940b918b59","sha256:e5145517a948062e4c427bf493736eb944a673871c5bd6cfa19d0fe761d627b7"],"state_sha256":"68854ed4602bd7d344705fa84bfcb5822f334afcd0138a350abdb2578bf538cd"}