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This result is a particular case of a non-polarized version of the (local) relative Langlands duality of Ben Zvi, Sakellaridis and Venkatesh. Similar results for the pairs $(\\mathrm{SO}_{2n+1}, \\mathrm{Sp}_{2n})$ and $(\\mathrm{GL}_n, \\mathrm{GL}_m)$ were proved by Braverman, Finkelberg, Kazhdan and Travkin and by F"},"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":"2606.03187","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2026-06-02T05:46:45Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"6d9f167ca3dda141f8e9f2940d47d5b4f080e71aa47b667647b541a8f2799bf8","abstract_canon_sha256":"e85a4a20e937658eb1b39719ad69bc9a2e814be305a0d9dd20d5013477ef0c4b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T01:05:34.367516Z","signature_b64":"mZ4pS4B/9wJwuNJwFnz69Y+zWarE2kRw7fN73d5B6lUxcoUeFCH1FoiF/Qc6hlRsZAyNSY8uBTH23QFjGeDxCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42ceb227d0078eadd5f8047601a3e3a690fad219c58216d196eeed560af2d566","last_reissued_at":"2026-06-03T01:05:34.367132Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T01:05:34.367132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Towards the Relative Langlands Duality for Orthosymplectic Pairs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.RT","authors_text":"Dor Mezer","submitted_at":"2026-06-02T05:46:45Z","abstract_excerpt":"In this paper we prove a conjectured equivalence of categories, showing that the S-dual of $\\mathrm{SO}_{2n}\\times \\mathrm{Sp}_{2n}$ acting on $\\mathbb{C}_+^{2n}\\otimes \\mathbb{C}_-^{2n}$ is equal to $\\mathrm{SO}_{2n+1}\\times \\mathrm{SO}_{2n}\\circlearrowright T^*\\mathrm{SO}_{2n+1}$. 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