{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:7PF2JTMFMG25SOKFMLOXRRGVSA","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":"866fee4ab7f4ea7a768890d1817f42bf60b649c9768f2956b5fd5795b53c71b9","cross_cats_sorted":["hep-th","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-11-29T22:23:15Z","title_canon_sha256":"2043b0ebdd08eded4576c2ae5088ecb188dd755459a035d7b8edf1b405b61748"},"schema_version":"1.0","source":{"id":"2011.14453","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.14453","created_at":"2026-07-05T03:25:49Z"},{"alias_kind":"arxiv_version","alias_value":"2011.14453v2","created_at":"2026-07-05T03:25:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.14453","created_at":"2026-07-05T03:25:49Z"},{"alias_kind":"pith_short_12","alias_value":"7PF2JTMFMG25","created_at":"2026-07-05T03:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"7PF2JTMFMG25SOKF","created_at":"2026-07-05T03:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"7PF2JTMF","created_at":"2026-07-05T03:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:327950148f9eaf05de40ed2c1b5ef3eb6253c93a81d828c8f39a74e91a748bfb","target":"graph","created_at":"2026-07-05T03:25:49Z","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/2011.14453/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Nappi-Witten model is a Wess-Zumino-Witten model in which the target space is the nonreductive Heisenberg group $H_4$. We consider the representation theory underlying this conformal field theory. Specifically, we study the category of weight modules, with finite-dimensional weight spaces, over the associated affine vertex operator algebra $\\mathsf{H}_4$. In particular, we classify the irreducible $\\mathsf{H}_4$-modules in this category and compute their characters. We moreover observe that this category is nonsemisimple, suggesting that the Nappi-Witten model is a logarithmic conformal fi","authors_text":"Andrei Babichenko, David Ridout, Kazuya Kawasetsu, William Stewart","cross_cats":["hep-th","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-11-29T22:23:15Z","title":"Representations of the Nappi--Witten vertex operator algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.14453","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":"sha256:15bbf16ab1820e07397ad22252e2e13e65c721eb03874181e25f4903ac852893","target":"record","created_at":"2026-07-05T03:25:49Z","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":"866fee4ab7f4ea7a768890d1817f42bf60b649c9768f2956b5fd5795b53c71b9","cross_cats_sorted":["hep-th","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-11-29T22:23:15Z","title_canon_sha256":"2043b0ebdd08eded4576c2ae5088ecb188dd755459a035d7b8edf1b405b61748"},"schema_version":"1.0","source":{"id":"2011.14453","kind":"arxiv","version":2}},"canonical_sha256":"fbcba4cd8561b5d9394562dd78c4d590170f276e3b9bd04cc06846ed72f52986","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fbcba4cd8561b5d9394562dd78c4d590170f276e3b9bd04cc06846ed72f52986","first_computed_at":"2026-07-05T03:25:49.152962Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:25:49.152962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ymNRx07gMRpz2g8SOXqNCl6c5bBOe6qZ1EBq8+qU3tBZIcVbdPQ7zWWPlRKxAJzLTDbKgs8JBpj2YmmpQI/cBw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:25:49.153433Z","signed_message":"canonical_sha256_bytes"},"source_id":"2011.14453","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15bbf16ab1820e07397ad22252e2e13e65c721eb03874181e25f4903ac852893","sha256:327950148f9eaf05de40ed2c1b5ef3eb6253c93a81d828c8f39a74e91a748bfb"],"state_sha256":"742a0655afdeef7c911e16939ba9e3e0ca364f0b25f1836cf42c0560381bd02c"}