{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:HCIISPXDXG5KBKBEX3VT7VLRTD","short_pith_number":"pith:HCIISPXD","schema_version":"1.0","canonical_sha256":"3890893ee3b9baa0a824beeb3fd57198f2ac833324ba30562bf01befa6069907","source":{"kind":"arxiv","id":"1012.5083","version":3},"attestation_state":"computed","paper":{"title":"Homomorphisms of abelian varieties over geometric fields of finite characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Yuri G. Zarhin","submitted_at":"2010-12-22T20:06:06Z","abstract_excerpt":"We study analogues of Tate's conjecture on homomorphisms for abelian varieties when the ground field is finitely generated over an algebraic closure of a finite field. Our results cover the case of abelian varieties without nontrivial endomorphisms."},"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":"1012.5083","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-12-22T20:06:06Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"a46bb9f738248a8b315ff9782754ae9d6b14e4c323022ac925ebf132899ef074","abstract_canon_sha256":"60b8dbe37ae2a33d042551e2f68fab3d7b0a412c9b24418551359a20d01a39f2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:17.931356Z","signature_b64":"UF3iC2F5Wq8ui6Dbvgqrrz1MeMCDtz9NSLBEv9XZOba1qqZ5QJVt9upa/iitZdw3a/l1PUbzKApdy3X47/0vAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3890893ee3b9baa0a824beeb3fd57198f2ac833324ba30562bf01befa6069907","last_reissued_at":"2026-05-18T04:11:17.930846Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:17.930846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Homomorphisms of abelian varieties over geometric fields of finite characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Yuri G. Zarhin","submitted_at":"2010-12-22T20:06:06Z","abstract_excerpt":"We study analogues of Tate's conjecture on homomorphisms for abelian varieties when the ground field is finitely generated over an algebraic closure of a finite field. Our results cover the case of abelian varieties without nontrivial endomorphisms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5083","kind":"arxiv","version":3},"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":"1012.5083","created_at":"2026-05-18T04:11:17.930924+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.5083v3","created_at":"2026-05-18T04:11:17.930924+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5083","created_at":"2026-05-18T04:11:17.930924+00:00"},{"alias_kind":"pith_short_12","alias_value":"HCIISPXDXG5K","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"HCIISPXDXG5KBKBE","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"HCIISPXD","created_at":"2026-05-18T12:26:07.630475+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/HCIISPXDXG5KBKBEX3VT7VLRTD","json":"https://pith.science/pith/HCIISPXDXG5KBKBEX3VT7VLRTD.json","graph_json":"https://pith.science/api/pith-number/HCIISPXDXG5KBKBEX3VT7VLRTD/graph.json","events_json":"https://pith.science/api/pith-number/HCIISPXDXG5KBKBEX3VT7VLRTD/events.json","paper":"https://pith.science/paper/HCIISPXD"},"agent_actions":{"view_html":"https://pith.science/pith/HCIISPXDXG5KBKBEX3VT7VLRTD","download_json":"https://pith.science/pith/HCIISPXDXG5KBKBEX3VT7VLRTD.json","view_paper":"https://pith.science/paper/HCIISPXD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.5083&json=true","fetch_graph":"https://pith.science/api/pith-number/HCIISPXDXG5KBKBEX3VT7VLRTD/graph.json","fetch_events":"https://pith.science/api/pith-number/HCIISPXDXG5KBKBEX3VT7VLRTD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HCIISPXDXG5KBKBEX3VT7VLRTD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HCIISPXDXG5KBKBEX3VT7VLRTD/action/storage_attestation","attest_author":"https://pith.science/pith/HCIISPXDXG5KBKBEX3VT7VLRTD/action/author_attestation","sign_citation":"https://pith.science/pith/HCIISPXDXG5KBKBEX3VT7VLRTD/action/citation_signature","submit_replication":"https://pith.science/pith/HCIISPXDXG5KBKBEX3VT7VLRTD/action/replication_record"}},"created_at":"2026-05-18T04:11:17.930924+00:00","updated_at":"2026-05-18T04:11:17.930924+00:00"}