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We shall prove that\n  \\[\n  L \\left( \\frac{1}{2} + it, f \\right) \\ll_{f, \\epsilon} \\left( 2 + |t|\\right)^{1/3 + \\epsilon}, \\] for any $\\epsilon > 0.$"},"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":"1805.04892","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-05-13T14:15:22Z","cross_cats_sorted":[],"title_canon_sha256":"196c1e0b67e0929c7c4456497c604be390c5a8037a7e8f66376f44ad6dbd0d97","abstract_canon_sha256":"dd20429877423e8afc04e5506200283d8e7b78b03b2f9e0b8657243a4cccdc03"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:59.597709Z","signature_b64":"lRjGDhd/vb9ESTu9PBQp7ribpzj2lcNclx5FPLOziTKNMmYFaX9rsefjpzUOHhfEppRwHyKV6nk479azuh7bBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbee831185bf79ecec8f26531b1ddf6e3c5d844a6df61f8fa3e049217d7ce2e5","last_reissued_at":"2026-05-18T00:10:59.596890Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:59.596890Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Subconvexity bound for $GL(2)$ L-functions: \\lowercase{t}-aspect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Gopal Maiti, Ratnadeep Acharya, Saurabh Kumar Singh, Sumit Kumar","submitted_at":"2018-05-13T14:15:22Z","abstract_excerpt":"Let $f $ be a holomorphic Hecke eigenform or a Hecke-Maass cusp form for the full modular group $ SL(2, \\mathbb{Z})$. 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