{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CWLXTYEN7PDSJWU2KMFQPEALMU","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":"6eda6717b7844dd3beeb18e79a3c9b2b1f608935ae7e30cfe634c1bc859ae09d","cross_cats_sorted":["math.AC","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-10-12T17:02:08Z","title_canon_sha256":"8ca2250973fd884881917d6e86c9f51eb3aa9c6969b4a5e4b543eb820b82be32"},"schema_version":"1.0","source":{"id":"1010.2444","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2444","created_at":"2026-05-18T04:04:53Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2444v2","created_at":"2026-05-18T04:04:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2444","created_at":"2026-05-18T04:04:53Z"},{"alias_kind":"pith_short_12","alias_value":"CWLXTYEN7PDS","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CWLXTYEN7PDSJWU2","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CWLXTYEN","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:5e84b431d05a43f00521b31916e257aba65f1cc02373b434faf86baf9fbf5d07","target":"graph","created_at":"2026-05-18T04:04:53Z","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":"In this paper we prove the Geyer-Jarden conjecture on the torsion part of the Mordell-Weil group for a large class of abelian varieties defined over finitely generated fields of arbitrary characteristic. The class consists of all abelian varieties with big monodromy, i.e., such that the image of Galois representation on l-torsion points, for almost all primes l, contains the full symplectic group.","authors_text":"Sara Arias-de-Reyna, Sebastian Petersen, Wojciech Gajda","cross_cats":["math.AC","math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-10-12T17:02:08Z","title":"Abelian varieties over finitely generated fields and the conjecture of Geyer and Jarden on torsion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2444","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":"sha256:086a233b02679ea76cbd0e5f1451530f03a5ec7f1b57761c26a699db2384a15a","target":"record","created_at":"2026-05-18T04:04:53Z","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":"6eda6717b7844dd3beeb18e79a3c9b2b1f608935ae7e30cfe634c1bc859ae09d","cross_cats_sorted":["math.AC","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-10-12T17:02:08Z","title_canon_sha256":"8ca2250973fd884881917d6e86c9f51eb3aa9c6969b4a5e4b543eb820b82be32"},"schema_version":"1.0","source":{"id":"1010.2444","kind":"arxiv","version":2}},"canonical_sha256":"159779e08dfbc724da9a530b07900b650a22e1e10b2a87d1159bcd1b69678b9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"159779e08dfbc724da9a530b07900b650a22e1e10b2a87d1159bcd1b69678b9e","first_computed_at":"2026-05-18T04:04:53.518414Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:04:53.518414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SU0jeFJ1nwJ0at6BunVHa8nhpdvE1rT3MLUTSoziTdAvGpsXIFKhyLYTZkRtQYUf1Nvvw26qd2hD5vzbpflKBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:04:53.519120Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.2444","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:086a233b02679ea76cbd0e5f1451530f03a5ec7f1b57761c26a699db2384a15a","sha256:5e84b431d05a43f00521b31916e257aba65f1cc02373b434faf86baf9fbf5d07"],"state_sha256":"f3f3fb0afbb620564b5d2ba3af3770de7f2b01d6cea3fb84ae5022d35e257bdf"}