{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7NUX7YMLAK756QHIUTMUXKAJWL","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":"936183132a951ea427aea3c4714b056f1389d8e95a9a1f9d05efcb8127262206","cross_cats_sorted":["hep-th","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-03-14T18:00:23Z","title_canon_sha256":"a778f6ff21fb95a597e68904407bf1d605741f30e4963233e632ed2d6e003771"},"schema_version":"1.0","source":{"id":"1603.04367","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.04367","created_at":"2026-05-18T01:16:04Z"},{"alias_kind":"arxiv_version","alias_value":"1603.04367v2","created_at":"2026-05-18T01:16:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04367","created_at":"2026-05-18T01:16:04Z"},{"alias_kind":"pith_short_12","alias_value":"7NUX7YMLAK75","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7NUX7YMLAK756QHI","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7NUX7YML","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:d00af3b846b2fd2e1972821c3066d8e32cd106457f8c7f1ecdc90e9f30225ef2","target":"graph","created_at":"2026-05-18T01:16:04Z","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 construct two associative algebras from a vertex operator algebra $V$ and a general automorphism $g$ of $V$. The first, called $g$-twisted zero-mode algebra, is a subquotient of what we call $g$-twisted universal enveloping algebra of $V$. These algebras are generalizations of the corresponding algebras introduced and studied by Frenkel-Zhu and Nagatomo-Tsuchiya in the (untwisted) case that $g$ is the identity. The other is a generalization of the $g$-twisted version of Zhu's algebra for suitable $g$-twisted modules constructed by Dong-Li-Mason when the order of $g$ is finite. We are mainly","authors_text":"Jinwei Yang, Yi-Zhi Huang","cross_cats":["hep-th","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-03-14T18:00:23Z","title":"Associative algebras for (logarithmic) twisted modules for a vertex operator algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04367","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:aa2100e7dc2c1e6b35fc56e063d95883a64ceefea2a6a5a3712f884a7fd7bdd1","target":"record","created_at":"2026-05-18T01:16:04Z","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":"936183132a951ea427aea3c4714b056f1389d8e95a9a1f9d05efcb8127262206","cross_cats_sorted":["hep-th","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-03-14T18:00:23Z","title_canon_sha256":"a778f6ff21fb95a597e68904407bf1d605741f30e4963233e632ed2d6e003771"},"schema_version":"1.0","source":{"id":"1603.04367","kind":"arxiv","version":2}},"canonical_sha256":"fb697fe18b02bfdf40e8a4d94ba809b2cc765fad263b2d10bbbe8fa156bfd798","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb697fe18b02bfdf40e8a4d94ba809b2cc765fad263b2d10bbbe8fa156bfd798","first_computed_at":"2026-05-18T01:16:04.798259Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:04.798259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6i90wJqafecudAetcCCu8F5kxXY28GSJlkfLtVYo8Cp/cuC+my03yArAp6sLrnCAMV285ngT85T3huc3gkL2BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:04.799006Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.04367","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa2100e7dc2c1e6b35fc56e063d95883a64ceefea2a6a5a3712f884a7fd7bdd1","sha256:d00af3b846b2fd2e1972821c3066d8e32cd106457f8c7f1ecdc90e9f30225ef2"],"state_sha256":"05fefc9dea763de72b8ecda84e904b4d16fd69f6755b7774cb35d3b100283888"}