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For any $m, n \\in(1/T) \\mathbb N$, an $A_{g,n}(V)\\!-\\!A_{g,m}(V)$ bimodule $A_{g,n, m}(V)=V/O_{g,n,m}(V)$ was defined by Dong and Jiang, where $O_{g,n,m}(V)$ is the sum of three certain subspaces $O_{g,n, m}^{\\prime}(V), O_{g,n, m}^{\\prime \\prime}(V)$ and $O_{g,n, m}^{\\prime \\prime \\prime}(V)$. In this paper, we show that $O_{g,n, m}(V)=O_{g,n, m}^{\\prime}(V)$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2505.19162","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2025-05-25T14:21:44Z","cross_cats_sorted":[],"title_canon_sha256":"968b8ec51562becadc6272c032c0ebf2f4477a61063a7f5e5e39ec9517983b40","abstract_canon_sha256":"4c1cefa61383d2993b06c9abb2717a540616ba9ad034ff9c9345313299dfc610"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:09:25.838757Z","signature_b64":"7yAoNz9yGr5B5NicnD90gusFr9jh7x2EX1TKpgJIBGlT0/6VPrKI2yUOplFWaxy6Ea50+4S6BJbbN/PUiXIODA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09ecc082e31952c6975cb3c96491dc253e2c5a6db3a7a9043650014cff22d8e0","last_reissued_at":"2026-07-05T11:09:25.838248Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:09:25.838248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Refining twisted bimodules associated to VOAs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Jianzhi Han, Shun Xu","submitted_at":"2025-05-25T14:21:44Z","abstract_excerpt":"Let $V$ be a vertex operator algebra and $g$ an automorphism of $V$ of finite order $T$. For any $m, n \\in(1/T) \\mathbb N$, an $A_{g,n}(V)\\!-\\!A_{g,m}(V)$ bimodule $A_{g,n, m}(V)=V/O_{g,n,m}(V)$ was defined by Dong and Jiang, where $O_{g,n,m}(V)$ is the sum of three certain subspaces $O_{g,n, m}^{\\prime}(V), O_{g,n, m}^{\\prime \\prime}(V)$ and $O_{g,n, m}^{\\prime \\prime \\prime}(V)$. 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