{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:S5PACJEFROMNT5WGHD3R5PIOQR","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":"35ad68265138c3678496f356042045d8a5c06f4d982fbfcd37bd8ad0cff5f8d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-07-16T06:59:29Z","title_canon_sha256":"1eba826dbec3e302ee7d3930eaa92bb50efbc38f1e09855bda060804b3437a7a"},"schema_version":"1.0","source":{"id":"1407.4209","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.4209","created_at":"2026-05-18T02:26:38Z"},{"alias_kind":"arxiv_version","alias_value":"1407.4209v2","created_at":"2026-05-18T02:26:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.4209","created_at":"2026-05-18T02:26:38Z"},{"alias_kind":"pith_short_12","alias_value":"S5PACJEFROMN","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"S5PACJEFROMNT5WG","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"S5PACJEF","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:a927e1f209a404a54932e217878077e57b84ac85912cd772cee2bae069aaaac4","target":"graph","created_at":"2026-05-18T02:26:38Z","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":"Motivated by the theory of unitary representations of finite dimensional Lie supergroups, we describe those Lie superalgebras which have a faithful finite dimensional unitary representation. We call these Lie superalgebras unitary. This is achieved by describing the classification of real finite dimensional compact simple Lie superalgebras, and analyzing, in a rather elementary and direct way, the decomposition of reductive Lie superalgebras ($\\g$ is a semisimple $\\g_{\\bar 0}$-module) over fields of characteristic zero into ideals.","authors_text":"Karl-Hermann Neeb, Saeid Azam","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-07-16T06:59:29Z","title":"Finite dimensional compact and unitary Lie superalgebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.4209","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":"sha256:83acca392dca336066a1661fdca703a545226d00cfe446583d3a31c28b01dbc9","target":"record","created_at":"2026-05-18T02:26:38Z","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":"35ad68265138c3678496f356042045d8a5c06f4d982fbfcd37bd8ad0cff5f8d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-07-16T06:59:29Z","title_canon_sha256":"1eba826dbec3e302ee7d3930eaa92bb50efbc38f1e09855bda060804b3437a7a"},"schema_version":"1.0","source":{"id":"1407.4209","kind":"arxiv","version":2}},"canonical_sha256":"975e0124858b98d9f6c638f71ebd0e847e23d9042be91a688920fdfa7dbcf4d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"975e0124858b98d9f6c638f71ebd0e847e23d9042be91a688920fdfa7dbcf4d1","first_computed_at":"2026-05-18T02:26:38.936554Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:38.936554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"duQsN3sAtvnLIjpzGxfpSrOhzjP1a2Q8EB0gYeBG26nhrxHkQHMIabvLVrhf5PioEbWNulSkaZPp2j7m2N9CBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:38.937024Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.4209","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83acca392dca336066a1661fdca703a545226d00cfe446583d3a31c28b01dbc9","sha256:a927e1f209a404a54932e217878077e57b84ac85912cd772cee2bae069aaaac4"],"state_sha256":"a54ef0a9604dd4772d4c6d99ea35024d5786a583809ba9d4070c62ea7824fa1c"}