{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:MR3SP7A2OOWFSA647X4IVE5ZQJ","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":"0973bd19606d8c5e9536a9233f55000db967c03bdab14feb095d0ef11c511250","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2021-06-09T04:32:05Z","title_canon_sha256":"d9c38cc0b60455c0a83bc6f530225e2636a7e489c1c8a07edfbc96f506740693"},"schema_version":"1.0","source":{"id":"2106.04801","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.04801","created_at":"2026-07-05T02:48:00Z"},{"alias_kind":"arxiv_version","alias_value":"2106.04801v2","created_at":"2026-07-05T02:48:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.04801","created_at":"2026-07-05T02:48:00Z"},{"alias_kind":"pith_short_12","alias_value":"MR3SP7A2OOWF","created_at":"2026-07-05T02:48:00Z"},{"alias_kind":"pith_short_16","alias_value":"MR3SP7A2OOWFSA64","created_at":"2026-07-05T02:48:00Z"},{"alias_kind":"pith_short_8","alias_value":"MR3SP7A2","created_at":"2026-07-05T02:48:00Z"}],"graph_snapshots":[{"event_id":"sha256:4255c8e9092ade00ff602a73b04f02431bc049ef652ce4b45fe48d0eb8835150","target":"graph","created_at":"2026-07-05T02:48:00Z","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/2106.04801/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we classify simple strong Harish-Chandra modules over the Lie superalgebra $W_{m,n}$ of vector fields on $\\C^{m|n}$. Any such module is the unique simple submodule of some tensor module $F(P,V)$ for a simple weight module $P$ over the Weyl superalgebra $\\mathcal K_{m,n}$ and a simple weight module $V$ over the general linear superalgebra $\\gl_{m,n}$.","authors_text":"Rencai L\\\"u, Yan-an Cai, Yaohui Xue","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2021-06-09T04:32:05Z","title":"Classification of simple strong Harish-Chandra modules over the Lie superalgebra of vector fields on $\\C^{m|n}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.04801","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":"sha256:42912a96fc9ff4d764ca23fc5acd3f113a652cfebef627076782d1acdc4a467a","target":"record","created_at":"2026-07-05T02:48:00Z","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":"0973bd19606d8c5e9536a9233f55000db967c03bdab14feb095d0ef11c511250","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2021-06-09T04:32:05Z","title_canon_sha256":"d9c38cc0b60455c0a83bc6f530225e2636a7e489c1c8a07edfbc96f506740693"},"schema_version":"1.0","source":{"id":"2106.04801","kind":"arxiv","version":2}},"canonical_sha256":"647727fc1a73ac5903dcfdf88a93b98258b9a3ffdc7964c5b19549645805ce5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"647727fc1a73ac5903dcfdf88a93b98258b9a3ffdc7964c5b19549645805ce5c","first_computed_at":"2026-07-05T02:48:00.505502Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:48:00.505502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4Vvb3DzUvmFaxTl8FZNel30BHl36M8t1NclM6zzapUz7x4VvHZkJCD6xb8+dA+LZF3ojef9l+8FJx2cVr27fCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:48:00.506021Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.04801","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42912a96fc9ff4d764ca23fc5acd3f113a652cfebef627076782d1acdc4a467a","sha256:4255c8e9092ade00ff602a73b04f02431bc049ef652ce4b45fe48d0eb8835150"],"state_sha256":"f0313eaadcc94299907e5632b4956856918ccc6cbc374714051e12892a3e0952"}