{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QKCZ2A2TCYS6HPAN2BQ7Z3RCTP","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":"45fdb246d78615faeb282fda13499592d52856dd33a7ed9b5072dfb80a811377","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-02-22T14:43:20Z","title_canon_sha256":"c5c7f35883d4467d5a0cf60bc0a548e9127d26434db430f954df0d293f39e814"},"schema_version":"1.0","source":{"id":"1002.4127","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.4127","created_at":"2026-05-18T03:29:51Z"},{"alias_kind":"arxiv_version","alias_value":"1002.4127v2","created_at":"2026-05-18T03:29:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.4127","created_at":"2026-05-18T03:29:51Z"},{"alias_kind":"pith_short_12","alias_value":"QKCZ2A2TCYS6","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QKCZ2A2TCYS6HPAN","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QKCZ2A2T","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:a058f54634d0d9ad81cf48fb07339af4e9bafcd24f43438488c8cf744fb6f912","target":"graph","created_at":"2026-05-18T03:29:51Z","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":"We prove that more than 41% of the zeros of the zeta function are on the critical line.","authors_text":"Brian Conrey, Hung Bui, Matthew Young","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-02-22T14:43:20Z","title":"More than 41% of the zeros of the zeta function are on the critical line"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4127","kind":"arxiv","version":2},"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":"sha256:603a30130788d73f05768390e27c7e4e2a2e9d5326fc75353f0fadaf2f24d4f7","target":"record","created_at":"2026-05-18T03:29:51Z","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":"45fdb246d78615faeb282fda13499592d52856dd33a7ed9b5072dfb80a811377","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-02-22T14:43:20Z","title_canon_sha256":"c5c7f35883d4467d5a0cf60bc0a548e9127d26434db430f954df0d293f39e814"},"schema_version":"1.0","source":{"id":"1002.4127","kind":"arxiv","version":2}},"canonical_sha256":"82859d03531625e3bc0dd061fcee229bd6ce126635b1813ac9bd2665b9832866","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82859d03531625e3bc0dd061fcee229bd6ce126635b1813ac9bd2665b9832866","first_computed_at":"2026-05-18T03:29:51.398997Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:51.398997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s3CaOds5UQB2PSct+UwgMxVQk6U7UW5SMgKPQj2YRSjYa64oKidRe47szA27jivKFESaZbemIJXS6BEkpsrwBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:51.399539Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.4127","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:603a30130788d73f05768390e27c7e4e2a2e9d5326fc75353f0fadaf2f24d4f7","sha256:a058f54634d0d9ad81cf48fb07339af4e9bafcd24f43438488c8cf744fb6f912"],"state_sha256":"6bebb84914270694c073d69cff35b7244197eb5bd7784810b20d0270f85cf506"}