{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:AIG4WLJMWP4CAMIFDHTSNXAWWI","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"dbe12c77ae3985e4685c8ea9f3ac724a2080514da5570c1b8f2241fb36fdebc9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-29T09:15:58Z","title_canon_sha256":"ad191da90432f7eb159da4b60101758a4e108d4feed0ad9b8d38b95fd6abf2f8"},"schema_version":"1.0","source":{"id":"1803.10973","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.10973","created_at":"2026-05-18T00:19:49Z"},{"alias_kind":"arxiv_version","alias_value":"1803.10973v1","created_at":"2026-05-18T00:19:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.10973","created_at":"2026-05-18T00:19:49Z"},{"alias_kind":"pith_short_12","alias_value":"AIG4WLJMWP4C","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AIG4WLJMWP4CAMIF","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AIG4WLJM","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:e7639f394b05b3f2b5e134c436f5e81548efbf7e08acd9ac14c8fbbcc5a2df95","target":"graph","created_at":"2026-05-18T00:19:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Let $f$ be a Hecke-Maass cusp form for $SL_3(\\mathbb{Z})$ and $\\chi$ a primitive Dirichlet character of prime power conductor $\\mathfrak{q}=p^{\\kappa}$ with $p$ prime and $\\kappa\\geq 10$. We prove a subconvexity bound $$ L\\left(\\frac{1}{2},\\pi\\otimes \\chi\\right)\\ll_{p,\\pi,\\varepsilon} \\mathfrak{q}^{3/4-3/40+\\varepsilon} $$ for any $\\varepsilon>0$, where the dependence of the implied constant on $p$ is explicit and polynomial. We obtain this result by applying the circle method of Kloosterman's version, summation formulas of Poisson and Voronoi's type and a conductor lowering mechanism introduc","authors_text":"Qingfeng Sun, Rui Zhao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-29T09:15:58Z","title":"Bounds for $GL_3$ $L$-functions in depth aspect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.10973","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ea319e7e770fbdb5db624a9a8b70c9825fff82e68bea7d929162e49db7631323","target":"record","created_at":"2026-05-18T00:19:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"dbe12c77ae3985e4685c8ea9f3ac724a2080514da5570c1b8f2241fb36fdebc9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-29T09:15:58Z","title_canon_sha256":"ad191da90432f7eb159da4b60101758a4e108d4feed0ad9b8d38b95fd6abf2f8"},"schema_version":"1.0","source":{"id":"1803.10973","kind":"arxiv","version":1}},"canonical_sha256":"020dcb2d2cb3f820310519e726dc16b2237e399c7814af5028303dc72925f9f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"020dcb2d2cb3f820310519e726dc16b2237e399c7814af5028303dc72925f9f1","first_computed_at":"2026-05-18T00:19:49.634771Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:49.634771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TY/veszTExH7icSGn814ixfWX6qwcVVHO3c6oDwiN15QpRic3Kjzz7gxHxoUo1Clkk+aaC/b98IbtoaOVhnxDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:49.635498Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.10973","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea319e7e770fbdb5db624a9a8b70c9825fff82e68bea7d929162e49db7631323","sha256:e7639f394b05b3f2b5e134c436f5e81548efbf7e08acd9ac14c8fbbcc5a2df95"],"state_sha256":"99502eb3063c25464bc7b369315aaeb2b21c91aca8a48afee4b2d53218714689"}