{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:PVUADMVB5INCUWMU3ZIHHSDDM6","short_pith_number":"pith:PVUADMVB","schema_version":"1.0","canonical_sha256":"7d6801b2a1ea1a2a5994de5073c86367b090067e68118b1efee38e6959d2991c","source":{"kind":"arxiv","id":"1610.03552","version":2},"attestation_state":"computed","paper":{"title":"Unlikely Intersections in Finite Characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Ananth N Shankar, Jacob Tsimerman","submitted_at":"2016-10-11T22:32:49Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1610.03552","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-10-11T22:32:49Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"702267c0ac21ac6b11dc254d15bec8b174fa6ffa53789d1855dd8cdfe77026ba","abstract_canon_sha256":"c16ff27895821d0b80397a413b749f3eb4c8b2d63d6e5e42457ebdf1653fb528"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:59.786818Z","signature_b64":"4P0VY4tlwyPQbRJ8m8ox92IzL7qvlmSn/4776cEzFTqYIaMuqisHctABPWHFIU35gNvUTvVjsSvtqLjeVzBtBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d6801b2a1ea1a2a5994de5073c86367b090067e68118b1efee38e6959d2991c","last_reissued_at":"2026-05-18T01:01:59.786310Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:59.786310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unlikely Intersections in Finite Characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Ananth N Shankar, Jacob Tsimerman","submitted_at":"2016-10-11T22:32:49Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03552","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1610.03552","created_at":"2026-05-18T01:01:59.786410+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.03552v2","created_at":"2026-05-18T01:01:59.786410+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03552","created_at":"2026-05-18T01:01:59.786410+00:00"},{"alias_kind":"pith_short_12","alias_value":"PVUADMVB5INC","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"PVUADMVB5INCUWMU","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"PVUADMVB","created_at":"2026-05-18T12:30:39.010887+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PVUADMVB5INCUWMU3ZIHHSDDM6","json":"https://pith.science/pith/PVUADMVB5INCUWMU3ZIHHSDDM6.json","graph_json":"https://pith.science/api/pith-number/PVUADMVB5INCUWMU3ZIHHSDDM6/graph.json","events_json":"https://pith.science/api/pith-number/PVUADMVB5INCUWMU3ZIHHSDDM6/events.json","paper":"https://pith.science/paper/PVUADMVB"},"agent_actions":{"view_html":"https://pith.science/pith/PVUADMVB5INCUWMU3ZIHHSDDM6","download_json":"https://pith.science/pith/PVUADMVB5INCUWMU3ZIHHSDDM6.json","view_paper":"https://pith.science/paper/PVUADMVB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.03552&json=true","fetch_graph":"https://pith.science/api/pith-number/PVUADMVB5INCUWMU3ZIHHSDDM6/graph.json","fetch_events":"https://pith.science/api/pith-number/PVUADMVB5INCUWMU3ZIHHSDDM6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PVUADMVB5INCUWMU3ZIHHSDDM6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PVUADMVB5INCUWMU3ZIHHSDDM6/action/storage_attestation","attest_author":"https://pith.science/pith/PVUADMVB5INCUWMU3ZIHHSDDM6/action/author_attestation","sign_citation":"https://pith.science/pith/PVUADMVB5INCUWMU3ZIHHSDDM6/action/citation_signature","submit_replication":"https://pith.science/pith/PVUADMVB5INCUWMU3ZIHHSDDM6/action/replication_record"}},"created_at":"2026-05-18T01:01:59.786410+00:00","updated_at":"2026-05-18T01:01:59.786410+00:00"}