{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:KJWRUACH2O3YGVLLHDKN3LZTWJ","short_pith_number":"pith:KJWRUACH","schema_version":"1.0","canonical_sha256":"526d1a0047d3b783556b38d4ddaf33b255367bef232391a56111fedceb61a4e4","source":{"kind":"arxiv","id":"1709.05615","version":1},"attestation_state":"computed","paper":{"title":"Subconvexity for symmetric square $L$-functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Ritabrata Munshi","submitted_at":"2017-09-17T07:12:35Z","abstract_excerpt":"Let $f$ be a holomorphic modular form of prime level $p$ and trivial nebentypus. We show that there exists a computable $\\delta>0$, such that $$ L\\left(\\tfrac{1}{2},\\mathrm{Sym}^2 f\\right)\\ll p^{\\tfrac{1}{2}-\\delta}, $$ with the implied constant depending only on $\\delta$ and the weight of $f$."},"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":"1709.05615","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-09-17T07:12:35Z","cross_cats_sorted":[],"title_canon_sha256":"862e844da103b3ae835e3db6988df013d67005399f7bbf8b94ae5fc37890569e","abstract_canon_sha256":"d03d03ecebae9da6830204c190e8afd2c12878b63c6eb3f2ecf3f4848c5d51bc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:00.122522Z","signature_b64":"/ImoJcXv+EIc+nrfK/Vxg8kcggYn2mUumvjfItFcUhgW9ywM4fFZFwUM39uQ4VCUayJQRAsMxlc7J5bsFU6HAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"526d1a0047d3b783556b38d4ddaf33b255367bef232391a56111fedceb61a4e4","last_reissued_at":"2026-05-18T00:35:00.121814Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:00.121814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Subconvexity for symmetric square $L$-functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Ritabrata Munshi","submitted_at":"2017-09-17T07:12:35Z","abstract_excerpt":"Let $f$ be a holomorphic modular form of prime level $p$ and trivial nebentypus. We show that there exists a computable $\\delta>0$, such that $$ L\\left(\\tfrac{1}{2},\\mathrm{Sym}^2 f\\right)\\ll p^{\\tfrac{1}{2}-\\delta}, $$ with the implied constant depending only on $\\delta$ and the weight of $f$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.05615","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1709.05615","created_at":"2026-05-18T00:35:00.121932+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.05615v1","created_at":"2026-05-18T00:35:00.121932+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.05615","created_at":"2026-05-18T00:35:00.121932+00:00"},{"alias_kind":"pith_short_12","alias_value":"KJWRUACH2O3Y","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_16","alias_value":"KJWRUACH2O3YGVLL","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_8","alias_value":"KJWRUACH","created_at":"2026-05-18T12:31:24.725408+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KJWRUACH2O3YGVLLHDKN3LZTWJ","json":"https://pith.science/pith/KJWRUACH2O3YGVLLHDKN3LZTWJ.json","graph_json":"https://pith.science/api/pith-number/KJWRUACH2O3YGVLLHDKN3LZTWJ/graph.json","events_json":"https://pith.science/api/pith-number/KJWRUACH2O3YGVLLHDKN3LZTWJ/events.json","paper":"https://pith.science/paper/KJWRUACH"},"agent_actions":{"view_html":"https://pith.science/pith/KJWRUACH2O3YGVLLHDKN3LZTWJ","download_json":"https://pith.science/pith/KJWRUACH2O3YGVLLHDKN3LZTWJ.json","view_paper":"https://pith.science/paper/KJWRUACH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.05615&json=true","fetch_graph":"https://pith.science/api/pith-number/KJWRUACH2O3YGVLLHDKN3LZTWJ/graph.json","fetch_events":"https://pith.science/api/pith-number/KJWRUACH2O3YGVLLHDKN3LZTWJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KJWRUACH2O3YGVLLHDKN3LZTWJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KJWRUACH2O3YGVLLHDKN3LZTWJ/action/storage_attestation","attest_author":"https://pith.science/pith/KJWRUACH2O3YGVLLHDKN3LZTWJ/action/author_attestation","sign_citation":"https://pith.science/pith/KJWRUACH2O3YGVLLHDKN3LZTWJ/action/citation_signature","submit_replication":"https://pith.science/pith/KJWRUACH2O3YGVLLHDKN3LZTWJ/action/replication_record"}},"created_at":"2026-05-18T00:35:00.121932+00:00","updated_at":"2026-05-18T00:35:00.121932+00:00"}