{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:FYCWKZIENIUP2QRILZWHCXHK27","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":"845273a06ddf5ddacdcbb5df6d16b8636b55afb85cd84f50c7cf3c4c444bf05c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2021-04-15T15:16:32Z","title_canon_sha256":"ec93834cadb4eb04af87e92d4ea779699d97dfdd6e71c67b9ba1922f5045de48"},"schema_version":"1.0","source":{"id":"2104.07517","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.07517","created_at":"2026-07-05T10:47:23Z"},{"alias_kind":"arxiv_version","alias_value":"2104.07517v3","created_at":"2026-07-05T10:47:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.07517","created_at":"2026-07-05T10:47:23Z"},{"alias_kind":"pith_short_12","alias_value":"FYCWKZIENIUP","created_at":"2026-07-05T10:47:23Z"},{"alias_kind":"pith_short_16","alias_value":"FYCWKZIENIUP2QRI","created_at":"2026-07-05T10:47:23Z"},{"alias_kind":"pith_short_8","alias_value":"FYCWKZIE","created_at":"2026-07-05T10:47:23Z"}],"graph_snapshots":[{"event_id":"sha256:c313cd8b112f1ad45bdd3fdc6b3165a9f07f439410017c5df308d91524059c95","target":"graph","created_at":"2026-07-05T10:47:23Z","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/2104.07517/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We obtain a classification of simple modules with finite weight multiplicities over basic classical map superalgebras. Any such module is parabolic induced from a simple cuspidal bounded module over a cuspidal map superalgebra. Further on, any simple cuspidal bounded module is isomorphic to an evaluation module. As an application, we obtain a classification of all simple Harish-Chandra modules for basic classical loop superalgebras. Extending these results to affine Kac-Moody Lie superalgebras obtained by adding the degree derivation, we construct a family of bounded simple modules of level ze","authors_text":"Henrique Rocha, Lucas Calixto, Vyacheslav Futorny","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2021-04-15T15:16:32Z","title":"Harish-Chandra modules for map and affine Lie superalgebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.07517","kind":"arxiv","version":3},"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:d419247bc90c39d5a845d5403298e974d8e878890180f838536fe9086351c739","target":"record","created_at":"2026-07-05T10:47:23Z","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":"845273a06ddf5ddacdcbb5df6d16b8636b55afb85cd84f50c7cf3c4c444bf05c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2021-04-15T15:16:32Z","title_canon_sha256":"ec93834cadb4eb04af87e92d4ea779699d97dfdd6e71c67b9ba1922f5045de48"},"schema_version":"1.0","source":{"id":"2104.07517","kind":"arxiv","version":3}},"canonical_sha256":"2e056565046a28fd42285e6c715cead7c17a195d01f8b50a68039e81dd485489","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e056565046a28fd42285e6c715cead7c17a195d01f8b50a68039e81dd485489","first_computed_at":"2026-07-05T10:47:23.099843Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:47:23.099843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u0fBVvJgHiwClaQe61eZ3aEGGaaUMbA1ClRSNgg/iTT7zuatsbDl9qh3USzXhwzaaPaUVMNW9q0L3n+sfeVQAg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:47:23.100326Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.07517","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d419247bc90c39d5a845d5403298e974d8e878890180f838536fe9086351c739","sha256:c313cd8b112f1ad45bdd3fdc6b3165a9f07f439410017c5df308d91524059c95"],"state_sha256":"99c9997e4c37e730503f5e0cdfc149f0402788db99650216f8b996913ccb5dff"}