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In particular, we prove a conjecture of Jiang on top Fourier coefficients of isobaric automorphic representations of $\\mathrm{GL}_n(\\mathbb{A})$ of form $$ \\Delta(\\tau_1, b_1) \\boxplus \\Delta(\\tau_2, b_2) \\boxplus \\cdots \\boxplus \\Delta(\\tau_r, b_r)\\,, $$ where $\\Delta(\\tau_i,b_i)$'s are Speh representations in the discrete spectrum of $\\mathrm{GL}_{a_ib_i}(\\mathbb{A})$ with $\\tau_i$'s being unitary cuspidal representations of $\\mathrm{GL}_{a_i}(\\mathbb{A})$, and $n = \\sum_{i"},"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":"1812.03157","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-12-07T18:47:32Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"87802eb8bfec6e1521955d4ccc98279feff9c71777ee7bd7a250a8807335c0b6","abstract_canon_sha256":"fb9a311ad56a007ea11352e2d4580651c3ec197d3697ccc140e9edc9a42f26e7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:50.778568Z","signature_b64":"dCwH2hRa21wqJhzW7PaB3YDPVI8thVx2ZLjI74Ge2PaZuo4fN6xClzajogMsI0uzLJGJzF8ZbObFdYKCxLgzDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"234213ab17652af90a4e16457be4406f6156b01c114c14748b3c832e6af663c5","last_reissued_at":"2026-05-17T23:58:50.778002Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:50.778002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On top Fourier coefficients of certain automorphic representations of GLn","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Baiying Liu, Bin Xu","submitted_at":"2018-12-07T18:47:32Z","abstract_excerpt":"In this paper, we study top Fourier coefficients of certain automorphic representations of $\\mathrm{GL}_n(\\mathbb{A})$. 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