{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:NJLBNTUHXYF6FQD4EGQYHRMAHC","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":"d56a050a26cdd6f5cab6f6665b4288703d6f2a3f43f6ee67ae368e117a2c4b47","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-09-03T16:12:10Z","title_canon_sha256":"a0868572bf753662f0534c823a4fca4180c9346a93804437754575fabe61ce85"},"schema_version":"1.0","source":{"id":"1909.01271","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.01271","created_at":"2026-07-05T00:12:53Z"},{"alias_kind":"arxiv_version","alias_value":"1909.01271v2","created_at":"2026-07-05T00:12:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.01271","created_at":"2026-07-05T00:12:53Z"},{"alias_kind":"pith_short_12","alias_value":"NJLBNTUHXYF6","created_at":"2026-07-05T00:12:53Z"},{"alias_kind":"pith_short_16","alias_value":"NJLBNTUHXYF6FQD4","created_at":"2026-07-05T00:12:53Z"},{"alias_kind":"pith_short_8","alias_value":"NJLBNTUH","created_at":"2026-07-05T00:12:53Z"}],"graph_snapshots":[{"event_id":"sha256:b855f79e7483b0dfb3397c66908d44317512dcf3d719393253a15a3795781e17","target":"graph","created_at":"2026-07-05T00:12:53Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1909.01271/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article, we prove that the Zilber-Pink conjecture for abelian varieties over an arbitrary field of characteristic $0$ is implied by the same statement for abelian varieties over the algebraic numbers.\n  More precisely, the conjecture holds for subvarieties of dimension at most $m$ in the abelian variety $A$ if it holds for subvarieties of dimension at most $m$ in the largest abelian subvariety of $A$ that is isomorphic to an abelian variety defined over $\\bar{ \\mathbb{Q}}$.","authors_text":"Fabrizio Barroero, Gabriel Andreas Dill","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-09-03T16:12:10Z","title":"On the Zilber-Pink conjecture for complex abelian varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.01271","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":"sha256:40b1ca2d90821bc032484163ff7c03c1a7ebbd0ba8466ce3acdfa7462b31ca2f","target":"record","created_at":"2026-07-05T00:12:53Z","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":"d56a050a26cdd6f5cab6f6665b4288703d6f2a3f43f6ee67ae368e117a2c4b47","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-09-03T16:12:10Z","title_canon_sha256":"a0868572bf753662f0534c823a4fca4180c9346a93804437754575fabe61ce85"},"schema_version":"1.0","source":{"id":"1909.01271","kind":"arxiv","version":2}},"canonical_sha256":"6a5616ce87be0be2c07c21a183c58038bbf1d07ae2350f3c797b6c9823525bbd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a5616ce87be0be2c07c21a183c58038bbf1d07ae2350f3c797b6c9823525bbd","first_computed_at":"2026-07-05T00:12:53.367528Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:12:53.367528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uWVMOYWT20FVQGFEwQdtCzUzX+2nniKHNtV3G9DU6QUERl2sKUrnYARdFnUpBZ6vGJxQpDQbQDB/lKu1J4hlAw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:12:53.367996Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.01271","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40b1ca2d90821bc032484163ff7c03c1a7ebbd0ba8466ce3acdfa7462b31ca2f","sha256:b855f79e7483b0dfb3397c66908d44317512dcf3d719393253a15a3795781e17"],"state_sha256":"09a13df42b34498246d78d22bf824b3b7190b046a6665ea0f5dad55159bf2cde"}