{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:O4UJ3UGKRBWU6LFIG6UY5HRMZ4","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":"d0103a7b9667b9140fd1111fde364e2313b75c36ce5e3ed7734bac36561da43d","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-02-21T03:59:30Z","title_canon_sha256":"c7955e73b67266d80f9bec8477a5d1bab91cd85f8f2be530f292dc967dbc4668"},"schema_version":"1.0","source":{"id":"1102.4127","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.4127","created_at":"2026-05-17T23:53:19Z"},{"alias_kind":"arxiv_version","alias_value":"1102.4127v4","created_at":"2026-05-17T23:53:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4127","created_at":"2026-05-17T23:53:19Z"},{"alias_kind":"pith_short_12","alias_value":"O4UJ3UGKRBWU","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"O4UJ3UGKRBWU6LFI","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"O4UJ3UGK","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:22e4cf44408506b8f7b98ae1162bd4593cff21a8d103eb0666f82eb69cf25dca","target":"graph","created_at":"2026-05-17T23:53:19Z","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 X be a curve over the finite field of q elements and let N(X), g(X) be its number of rational points and genus respectively. The Ihara constant A(q) is defined by the limit superior of N(X)/g(X) as the genus of X goes to infinity. In this paper, we employ a variant of Serre's class field tower method to obtain an improvement of the best known lower bounds on A(2) and A(3).","authors_text":"Iwan Duursma, Kit-Ho Mak","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-02-21T03:59:30Z","title":"On lower bounds for the Ihara constants A(2) and A(3)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4127","kind":"arxiv","version":4},"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":"sha256:3881ef3a5c39fc5ac669157d6b4cbb134a5b3e6e63c4701045d59b590969ae32","target":"record","created_at":"2026-05-17T23:53:19Z","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":"d0103a7b9667b9140fd1111fde364e2313b75c36ce5e3ed7734bac36561da43d","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-02-21T03:59:30Z","title_canon_sha256":"c7955e73b67266d80f9bec8477a5d1bab91cd85f8f2be530f292dc967dbc4668"},"schema_version":"1.0","source":{"id":"1102.4127","kind":"arxiv","version":4}},"canonical_sha256":"77289dd0ca886d4f2ca837a98e9e2ccf2d34bfe88d3248ac40dee77d85296427","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77289dd0ca886d4f2ca837a98e9e2ccf2d34bfe88d3248ac40dee77d85296427","first_computed_at":"2026-05-17T23:53:19.453735Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:19.453735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HwwyfdzxlibJXtOdNmShKSrLAPC0rTy2XiqMnb/cYe/XE60znTG6dVTLQIa/vHrK+lXKUxp4vMw1gurrpF3tDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:19.454346Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.4127","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3881ef3a5c39fc5ac669157d6b4cbb134a5b3e6e63c4701045d59b590969ae32","sha256:22e4cf44408506b8f7b98ae1162bd4593cff21a8d103eb0666f82eb69cf25dca"],"state_sha256":"ba419b01b07a2b7a12141a880f1ed3d316f00bb0932c8e9fb8291cb49ce7d4fe"}