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The existence of such a function is predicted by the Langlands conjecture.\n  The first construction, which was proposed by Shalika and Piatetski-Shapiro following Weil and Jacquet-Langlands (n=2), is based on considering the Whittaker function. The second construction, which was proposed recently by Laumon following Drinfeld (n=2) and Deligne (n=1), is geometric:"},"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":"alg-geom/9703022","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"alg-geom","submitted_at":"1997-03-18T22:16:39Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"0bfb5dd57c7e95687a6571ec11f122ef51d62c128f9da717289f7a12c2dcf413","abstract_canon_sha256":"7f035f937e6b78d30ce769620fcfea963448bce4c14cd2cb0d0da1441a189f0c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:47.075781Z","signature_b64":"L48xA3ArGlgEcSUcAxpCsn7R1XCEVpmFrd/pJZJ2p9yMcUARNIu5TsvH5OAC3mGZ+45UGqiXVk1zzzJyBV+PCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cc98766f6d2bdcae522b6d017fa766f0003acb9609c68a630bb5a44fa38b6c5","last_reissued_at":"2026-05-18T01:07:47.075251Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:47.075251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometric Realization of Whittaker Functions and the Langlands Conjecture","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"alg-geom","authors_text":"D. 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