{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CZMWBJESOYSALRYTQUZXSXFEF2","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":"f66f6d1b0b25e4e5d6716183ea8d27c63500c53cde63edfb229120534738e45a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-04-10T13:11:24Z","title_canon_sha256":"6a04316b20b68816533b9bc8a205fb2a3cb5149bfbf7c8cf705d021c40841aa5"},"schema_version":"1.0","source":{"id":"1504.02667","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.02667","created_at":"2026-05-18T02:19:06Z"},{"alias_kind":"arxiv_version","alias_value":"1504.02667v1","created_at":"2026-05-18T02:19:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.02667","created_at":"2026-05-18T02:19:06Z"},{"alias_kind":"pith_short_12","alias_value":"CZMWBJESOYSA","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CZMWBJESOYSALRYT","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CZMWBJES","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:8a998d871e8f4ad24df7117c65a3d593d77eb87a712cf0d4acd5089089c959ac","target":"graph","created_at":"2026-05-18T02:19:06Z","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 cusp form for the group SL(3, Z) with Langlands parameter mu and associated L-function L(s, f). If mu is in generic position, i.e. away from the Weyl chamber walls and away from the self-dual forms, we prove the subconvexity bound L(1/2, f) << || mu || ^{3/4 - 1/120000}.","authors_text":"Jack Buttcane, Valentin Blomer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-04-10T13:11:24Z","title":"On the subconvexity problem for L-functions on GL(3)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.02667","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":"sha256:44b0aeb7c213905de0ce706cf7a9e879e342d70903b6bac674616f79a1e1b89d","target":"record","created_at":"2026-05-18T02:19:06Z","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":"f66f6d1b0b25e4e5d6716183ea8d27c63500c53cde63edfb229120534738e45a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-04-10T13:11:24Z","title_canon_sha256":"6a04316b20b68816533b9bc8a205fb2a3cb5149bfbf7c8cf705d021c40841aa5"},"schema_version":"1.0","source":{"id":"1504.02667","kind":"arxiv","version":1}},"canonical_sha256":"165960a492762405c7138533795ca42eb9beb56cb142abbc493a95dd16f7fc07","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"165960a492762405c7138533795ca42eb9beb56cb142abbc493a95dd16f7fc07","first_computed_at":"2026-05-18T02:19:06.912214Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:06.912214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KwcsVuYePeKavf4QJr9kV5Nrvp9YG56k9umLLYB6UchSxrddKyyANH1rtwUzSfv6lsPGktXAYogzBuCQEyGCAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:06.912979Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.02667","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44b0aeb7c213905de0ce706cf7a9e879e342d70903b6bac674616f79a1e1b89d","sha256:8a998d871e8f4ad24df7117c65a3d593d77eb87a712cf0d4acd5089089c959ac"],"state_sha256":"d48ef0204c154f358eb4d135933c5ccc11c2a48200c8be0808e0e74aaa9a09e0"}