{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZRW73GVY3AT3AN36F3NFJ5RMIY","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":"e2daf05989f89d1704deee667b693eb8123d1f69c573c9e80120516cb9e1fc4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2025-02-02T14:30:15Z","title_canon_sha256":"89a5da0484c122f45ee59475326ee26eb30eb9fa25c8a8e14df93231bd0826bc"},"schema_version":"1.0","source":{"id":"2502.00810","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.00810","created_at":"2026-07-05T12:01:57Z"},{"alias_kind":"arxiv_version","alias_value":"2502.00810v2","created_at":"2026-07-05T12:01:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.00810","created_at":"2026-07-05T12:01:57Z"},{"alias_kind":"pith_short_12","alias_value":"ZRW73GVY3AT3","created_at":"2026-07-05T12:01:57Z"},{"alias_kind":"pith_short_16","alias_value":"ZRW73GVY3AT3AN36","created_at":"2026-07-05T12:01:57Z"},{"alias_kind":"pith_short_8","alias_value":"ZRW73GVY","created_at":"2026-07-05T12:01:57Z"}],"graph_snapshots":[{"event_id":"sha256:1eb687a7ad820be93a4d9b8abfb0407547453eecdcf3ec3eda8e9005b94dc775","target":"graph","created_at":"2026-07-05T12:01:57Z","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/2502.00810/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We classify the subalgebras of the real forms the complex linear algebra $\\mathfrak{sl}_3(\\mathbb{C})$, namely the real special linear algebra $\\mathfrak{sl}_3(\\mathbb{R})$, the special unitary algebra $\\mathfrak{su}(3)$, and the generalized special unitary algebra $\\mathfrak{su}(2,1)$. Our approach applies Galois cohomology to the known classification of complex subalgebras of $\\mathfrak{sl}_3(\\mathbb{C})$. The subalgebras of $\\mathfrak{sl}_3(\\mathbb{R})$ were previously classified by Winternitz using different techniques. We recover this classification using our cohomological approach and am","authors_text":"Andrew Douglas, Willem A. de Graaf","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2025-02-02T14:30:15Z","title":"The Subalgebras of the Real Forms of \\(\\mathfrak{sl}_3(\\mathbb{C})\\)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.00810","kind":"arxiv","version":2},"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":"sha256:437302fb6a04bb744116760ec32228ec17ba8af506aff0a641dddd734b36ebb2","target":"record","created_at":"2026-07-05T12:01:57Z","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":"e2daf05989f89d1704deee667b693eb8123d1f69c573c9e80120516cb9e1fc4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2025-02-02T14:30:15Z","title_canon_sha256":"89a5da0484c122f45ee59475326ee26eb30eb9fa25c8a8e14df93231bd0826bc"},"schema_version":"1.0","source":{"id":"2502.00810","kind":"arxiv","version":2}},"canonical_sha256":"cc6dfd9ab8d827b0377e2eda54f62c460c52b0a3b55a6534cb170bef97a35ed0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc6dfd9ab8d827b0377e2eda54f62c460c52b0a3b55a6534cb170bef97a35ed0","first_computed_at":"2026-07-05T12:01:57.301493Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:01:57.301493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q8a0mYKM5P2AjKL7ZG3ONKrVuVJ/4UOyuJOOmnJ74S+Z6j3b4boIjxRMrEQ/qDrr4Soty6wscdLagR1t2yCsAw==","signature_status":"signed_v1","signed_at":"2026-07-05T12:01:57.301986Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.00810","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:437302fb6a04bb744116760ec32228ec17ba8af506aff0a641dddd734b36ebb2","sha256:1eb687a7ad820be93a4d9b8abfb0407547453eecdcf3ec3eda8e9005b94dc775"],"state_sha256":"bfab186e67e14b9bc7b48df34f298b534dc554a631a38802c9ae8a040dbdbc80"}