{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:P5RQO2Q3S7PMBTTOJWQFDBSKOL","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":"e3cb77aa1e5ebb78831d9030c9cf58aad36b700ce60234cda657d67503ef64ec","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2023-10-26T15:42:02Z","title_canon_sha256":"c428519c3673a3b8ad96c6bce385348b3b5f8f69bb8ae4b643af0221f5139480"},"schema_version":"1.0","source":{"id":"2310.17484","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.17484","created_at":"2026-07-05T10:21:56Z"},{"alias_kind":"arxiv_version","alias_value":"2310.17484v2","created_at":"2026-07-05T10:21:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.17484","created_at":"2026-07-05T10:21:56Z"},{"alias_kind":"pith_short_12","alias_value":"P5RQO2Q3S7PM","created_at":"2026-07-05T10:21:56Z"},{"alias_kind":"pith_short_16","alias_value":"P5RQO2Q3S7PMBTTO","created_at":"2026-07-05T10:21:56Z"},{"alias_kind":"pith_short_8","alias_value":"P5RQO2Q3","created_at":"2026-07-05T10:21:56Z"}],"graph_snapshots":[{"event_id":"sha256:af59cd5b74e2729e2872f1bcfe9bf19a356334ba6ce4bc0a765dda83c4945443","target":"graph","created_at":"2026-07-05T10:21:56Z","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/2310.17484/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that under a generic condition, the quadratic Gaudin Hamiltonians associated to $\\mathfrak{gl}(p+m|q+n)$ are diagonalizable on any singular weight space in any tensor product of unitarizable highest weight $\\mathfrak{gl}(p+m|q+n)$-modules. Moreover, every joint eigenbasis of the Hamiltonians can be obtained from some joint eigenbasis of the quadratic Gaudin Hamiltonians for the general linear Lie algebra $\\mathfrak{gl}(r+k)$ on the corresponding singular weight space in the tensor product of some finite-dimensional irreducible $\\mathfrak{gl}(r+ k)$-modules for $r$ and $k$ sufficiently ","authors_text":"Bintao Cao, Ngau Lam, Wan Keng Cheong","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2023-10-26T15:42:02Z","title":"Quadratic and cubic Gaudin Hamiltonians and super Knizhnik-Zamolodchikov equations for general linear Lie superalgebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.17484","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:f9715e89de3fcbfb09f45c6310d0fedcc07adcd807a88acb5a7c9ab651b270d6","target":"record","created_at":"2026-07-05T10:21:56Z","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":"e3cb77aa1e5ebb78831d9030c9cf58aad36b700ce60234cda657d67503ef64ec","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2023-10-26T15:42:02Z","title_canon_sha256":"c428519c3673a3b8ad96c6bce385348b3b5f8f69bb8ae4b643af0221f5139480"},"schema_version":"1.0","source":{"id":"2310.17484","kind":"arxiv","version":2}},"canonical_sha256":"7f63076a1b97dec0ce6e4da051864a72cb838a8af0d5d0f861964d5860acc90b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f63076a1b97dec0ce6e4da051864a72cb838a8af0d5d0f861964d5860acc90b","first_computed_at":"2026-07-05T10:21:56.353968Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:21:56.353968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XtcPOr2lIgXosye1mjhjxeVQL2OnjRcQzs8gEXnnEcC19WpWMtYT/twi77qsb0U1Jx95yiIs6RECf8qTtYySBA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:21:56.354561Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.17484","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9715e89de3fcbfb09f45c6310d0fedcc07adcd807a88acb5a7c9ab651b270d6","sha256:af59cd5b74e2729e2872f1bcfe9bf19a356334ba6ce4bc0a765dda83c4945443"],"state_sha256":"a8af0140365fe6444a04916bcf5450ef35f6e90d11a88d86d066d12dfca927be"}