{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FOW4TEFOMN7EI4HAKOBSESKLBL","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":"2fc758d6f6b7d81377d5d412c8001b5adc19c0e715a906b845da2e86857d2fbb","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-02-15T21:17:07Z","title_canon_sha256":"bda52964fb11303dfb58f4af54bb68ba0528e75c90cc0cb69a5f01f7c57365e5"},"schema_version":"1.0","source":{"id":"1802.05767","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.05767","created_at":"2026-05-17T23:55:21Z"},{"alias_kind":"arxiv_version","alias_value":"1802.05767v2","created_at":"2026-05-17T23:55:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.05767","created_at":"2026-05-17T23:55:21Z"},{"alias_kind":"pith_short_12","alias_value":"FOW4TEFOMN7E","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FOW4TEFOMN7EI4HA","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FOW4TEFO","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:3944a7c95a92890915650ca92d272c27ad514684666930c887548c69878e7531","target":"graph","created_at":"2026-05-17T23:55:21Z","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":"We give an analog of a Chevalley-Serre presentation for the Lie superalgebras W(n) and S(n) of Cartan type. These are part of a wider class of Lie superalgebras, the so-called tensor hierarchy algebras, denoted W(g) and S(g), where g denotes the Kac-Moody algebra A_r, D_r or E_r. Then W(A_{n-1}) and S(A_{n-1}) are the Lie superalgebras W(n) and S(n). The algebras W(g) and S(g) are constructed from the Dynkin diagram of the Borcherds-Kac-Moody superalgebras B(g) obtained by adding a single grey node (representing an odd null root) to the Dynkin diagram of g. We redefine the algebras W(A_r) and ","authors_text":"Jakob Palmkvist, Lisa Carbone, Martin Cederwall","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-02-15T21:17:07Z","title":"Generators and relations for Lie superalgebras of Cartan type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.05767","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:a1e2fe0274785d29789802b5f5d812b610e27fcc401cb710f4ae4c8b8c53bcb3","target":"record","created_at":"2026-05-17T23:55:21Z","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":"2fc758d6f6b7d81377d5d412c8001b5adc19c0e715a906b845da2e86857d2fbb","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-02-15T21:17:07Z","title_canon_sha256":"bda52964fb11303dfb58f4af54bb68ba0528e75c90cc0cb69a5f01f7c57365e5"},"schema_version":"1.0","source":{"id":"1802.05767","kind":"arxiv","version":2}},"canonical_sha256":"2badc990ae637e4470e0538322494b0ac8767080ec8704f2a6a6d2b0226eca97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2badc990ae637e4470e0538322494b0ac8767080ec8704f2a6a6d2b0226eca97","first_computed_at":"2026-05-17T23:55:21.231200Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:21.231200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"05xTGh8EUU6w6FyZK0n81gqdnTEayYTcPbre0prmSRwd42I8yzhXTD/TnXgU6uAvn/9yGyt9oXo3nQzzwIbtDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:21.231746Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.05767","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1e2fe0274785d29789802b5f5d812b610e27fcc401cb710f4ae4c8b8c53bcb3","sha256:3944a7c95a92890915650ca92d272c27ad514684666930c887548c69878e7531"],"state_sha256":"931abeb1224fdd51262897f55d353cd39a1baec4899af35a773ab80db09c4949"}