{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PVUADMVB5INCUWMU3ZIHHSDDM6","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":"c16ff27895821d0b80397a413b749f3eb4c8b2d63d6e5e42457ebdf1653fb528","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-10-11T22:32:49Z","title_canon_sha256":"702267c0ac21ac6b11dc254d15bec8b174fa6ffa53789d1855dd8cdfe77026ba"},"schema_version":"1.0","source":{"id":"1610.03552","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.03552","created_at":"2026-05-18T01:01:59Z"},{"alias_kind":"arxiv_version","alias_value":"1610.03552v2","created_at":"2026-05-18T01:01:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03552","created_at":"2026-05-18T01:01:59Z"},{"alias_kind":"pith_short_12","alias_value":"PVUADMVB5INC","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PVUADMVB5INCUWMU","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PVUADMVB","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:d51802a2467186c5d5e75478a6bfb6c3d607500f95fe965c417946f64de3f99e","target":"graph","created_at":"2026-05-18T01:01:59Z","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 present a heuristic argument based on Honda-Tate theory against many conjectures in `unlikely intersections' over the algebraic closure of a finite field; notably, we conjecture that every abelian variety of dimension 4 is isogenous to a Jacobian. Using methods of additive combinatorics, we are able to give a negative answer to a related question of Chai and Oort where the ambient Shimura Variety is a power of the modular curve.","authors_text":"Ananth N Shankar, Jacob Tsimerman","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-10-11T22:32:49Z","title":"Unlikely Intersections in Finite Characteristic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03552","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":"sha256:0a4c103150d71f08bbff7c331fc6712da559d20315430867ed0ae882717061e8","target":"record","created_at":"2026-05-18T01:01:59Z","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":"c16ff27895821d0b80397a413b749f3eb4c8b2d63d6e5e42457ebdf1653fb528","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-10-11T22:32:49Z","title_canon_sha256":"702267c0ac21ac6b11dc254d15bec8b174fa6ffa53789d1855dd8cdfe77026ba"},"schema_version":"1.0","source":{"id":"1610.03552","kind":"arxiv","version":2}},"canonical_sha256":"7d6801b2a1ea1a2a5994de5073c86367b090067e68118b1efee38e6959d2991c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d6801b2a1ea1a2a5994de5073c86367b090067e68118b1efee38e6959d2991c","first_computed_at":"2026-05-18T01:01:59.786310Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:59.786310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4P0VY4tlwyPQbRJ8m8ox92IzL7qvlmSn/4776cEzFTqYIaMuqisHctABPWHFIU35gNvUTvVjsSvtqLjeVzBtBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:59.786818Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.03552","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a4c103150d71f08bbff7c331fc6712da559d20315430867ed0ae882717061e8","sha256:d51802a2467186c5d5e75478a6bfb6c3d607500f95fe965c417946f64de3f99e"],"state_sha256":"657d195619e54ab18ee5bc7a28ffa06f7c68a7bd263b3083575a9e35180f7693"}