{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:MBBEO766DM74APYCJ55NZDW7VN","short_pith_number":"pith:MBBEO766","canonical_record":{"source":{"id":"math/0601184","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.RT","submitted_at":"2006-01-09T17:44:46Z","cross_cats_sorted":[],"title_canon_sha256":"6f21dd25e04c850bbeccd0e20fe55e8c021084b0ea082f8cb6b32c214fd95208","abstract_canon_sha256":"40239fdc98f97a9f5d73956e1af12cfcdc5394fdbac4610feaf6e0694332f3f6"},"schema_version":"1.0"},"canonical_sha256":"6042477fde1b3fc03f024f7adc8edfab6609f0811f08eb2f9f48b5fe317b8050","source":{"kind":"arxiv","id":"math/0601184","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0601184","created_at":"2026-05-18T01:38:24Z"},{"alias_kind":"arxiv_version","alias_value":"math/0601184v1","created_at":"2026-05-18T01:38:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0601184","created_at":"2026-05-18T01:38:24Z"},{"alias_kind":"pith_short_12","alias_value":"MBBEO766DM74","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"MBBEO766DM74APYC","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"MBBEO766","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:MBBEO766DM74APYCJ55NZDW7VN","target":"record","payload":{"canonical_record":{"source":{"id":"math/0601184","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.RT","submitted_at":"2006-01-09T17:44:46Z","cross_cats_sorted":[],"title_canon_sha256":"6f21dd25e04c850bbeccd0e20fe55e8c021084b0ea082f8cb6b32c214fd95208","abstract_canon_sha256":"40239fdc98f97a9f5d73956e1af12cfcdc5394fdbac4610feaf6e0694332f3f6"},"schema_version":"1.0"},"canonical_sha256":"6042477fde1b3fc03f024f7adc8edfab6609f0811f08eb2f9f48b5fe317b8050","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:24.525514Z","signature_b64":"5fT19OLBwTVLt5IpW8oCZVXmFg4J+48mhJ5/0VQr11AuL+KBt8+FMwJxLNrxezMVENds8Gvo2qoDxAZ1wJsZBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6042477fde1b3fc03f024f7adc8edfab6609f0811f08eb2f9f48b5fe317b8050","last_reissued_at":"2026-05-18T01:38:24.524694Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:24.524694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0601184","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tcs9rgTrouqBcSMtFmxrdOAXgPNeXbFlXIBSsfuNKIoW6LnhGH0L6IEl86QWWyPZ2HpZEcLL/qdjH84myRxuBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T02:15:52.942124Z"},"content_sha256":"308c9c55e7cf4400588acc4b5d54808a152d9ad5a096eff5028ce957e1969cfb","schema_version":"1.0","event_id":"sha256:308c9c55e7cf4400588acc4b5d54808a152d9ad5a096eff5028ce957e1969cfb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:MBBEO766DM74APYCJ55NZDW7VN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sylvester-t' Hooft generators of sl(n) and sl(n|n), and relations between them","license":"","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Christoph Sachse","submitted_at":"2006-01-09T17:44:46Z","abstract_excerpt":"Among the simple finite dimensional Lie algebras, only sl(n) possesses two automorphisms of finite order which have no common nonzero eigenvector with eigenvalue one. It turns out that these automorphisms are inner and form a pair of generators that allow one to generate all of sl(n) under bracketing. It seems that Sylvester was the first to mention these generators, but he used them as generators of the associative algebra of all n times n matrices Mat(n). These generators appear in the description of elliptic solutions of the classical Yang-Baxter equation, orthogonal decompositions of Lie a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0601184","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ja+HShMl+Lae3lukzx8BTFPtZJnrrlPV7GgfcshidqK6cOTSwr8lNu7lPHESVI5qCkiCBBoAoiybq0w9UxQ4Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T02:15:52.942476Z"},"content_sha256":"1e0f1893da9d23074d822d8082889943f132c70ef37eb8cd1d657bbf29459f15","schema_version":"1.0","event_id":"sha256:1e0f1893da9d23074d822d8082889943f132c70ef37eb8cd1d657bbf29459f15"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MBBEO766DM74APYCJ55NZDW7VN/bundle.json","state_url":"https://pith.science/pith/MBBEO766DM74APYCJ55NZDW7VN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MBBEO766DM74APYCJ55NZDW7VN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-29T02:15:52Z","links":{"resolver":"https://pith.science/pith/MBBEO766DM74APYCJ55NZDW7VN","bundle":"https://pith.science/pith/MBBEO766DM74APYCJ55NZDW7VN/bundle.json","state":"https://pith.science/pith/MBBEO766DM74APYCJ55NZDW7VN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MBBEO766DM74APYCJ55NZDW7VN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:MBBEO766DM74APYCJ55NZDW7VN","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":"40239fdc98f97a9f5d73956e1af12cfcdc5394fdbac4610feaf6e0694332f3f6","cross_cats_sorted":[],"license":"","primary_cat":"math.RT","submitted_at":"2006-01-09T17:44:46Z","title_canon_sha256":"6f21dd25e04c850bbeccd0e20fe55e8c021084b0ea082f8cb6b32c214fd95208"},"schema_version":"1.0","source":{"id":"math/0601184","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0601184","created_at":"2026-05-18T01:38:24Z"},{"alias_kind":"arxiv_version","alias_value":"math/0601184v1","created_at":"2026-05-18T01:38:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0601184","created_at":"2026-05-18T01:38:24Z"},{"alias_kind":"pith_short_12","alias_value":"MBBEO766DM74","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"MBBEO766DM74APYC","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"MBBEO766","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:1e0f1893da9d23074d822d8082889943f132c70ef37eb8cd1d657bbf29459f15","target":"graph","created_at":"2026-05-18T01:38:24Z","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":"Among the simple finite dimensional Lie algebras, only sl(n) possesses two automorphisms of finite order which have no common nonzero eigenvector with eigenvalue one. It turns out that these automorphisms are inner and form a pair of generators that allow one to generate all of sl(n) under bracketing. It seems that Sylvester was the first to mention these generators, but he used them as generators of the associative algebra of all n times n matrices Mat(n). These generators appear in the description of elliptic solutions of the classical Yang-Baxter equation, orthogonal decompositions of Lie a","authors_text":"Christoph Sachse","cross_cats":[],"headline":"","license":"","primary_cat":"math.RT","submitted_at":"2006-01-09T17:44:46Z","title":"Sylvester-t' Hooft generators of sl(n) and sl(n|n), and relations between them"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0601184","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":"sha256:308c9c55e7cf4400588acc4b5d54808a152d9ad5a096eff5028ce957e1969cfb","target":"record","created_at":"2026-05-18T01:38:24Z","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":"40239fdc98f97a9f5d73956e1af12cfcdc5394fdbac4610feaf6e0694332f3f6","cross_cats_sorted":[],"license":"","primary_cat":"math.RT","submitted_at":"2006-01-09T17:44:46Z","title_canon_sha256":"6f21dd25e04c850bbeccd0e20fe55e8c021084b0ea082f8cb6b32c214fd95208"},"schema_version":"1.0","source":{"id":"math/0601184","kind":"arxiv","version":1}},"canonical_sha256":"6042477fde1b3fc03f024f7adc8edfab6609f0811f08eb2f9f48b5fe317b8050","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6042477fde1b3fc03f024f7adc8edfab6609f0811f08eb2f9f48b5fe317b8050","first_computed_at":"2026-05-18T01:38:24.524694Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:24.524694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5fT19OLBwTVLt5IpW8oCZVXmFg4J+48mhJ5/0VQr11AuL+KBt8+FMwJxLNrxezMVENds8Gvo2qoDxAZ1wJsZBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:24.525514Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0601184","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:308c9c55e7cf4400588acc4b5d54808a152d9ad5a096eff5028ce957e1969cfb","sha256:1e0f1893da9d23074d822d8082889943f132c70ef37eb8cd1d657bbf29459f15"],"state_sha256":"f17a14147e642e4a981559dac61d98279e9384d99d8190d77dcf0195453b65a8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WalHtYF+cWujNaGcUuznRy7rmSadwRQcGD4UQUel32wmUFfzevEKRhsqliG2bTMSD4kTZx7im9OytdwR4MThDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T02:15:52.944341Z","bundle_sha256":"7a95f543977c71338c550b602ccb746b6a1b90e630cb19c02413ac4f16e2d8a3"}}