{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:GMOAH3FGOOOHWP3LCO7L3WATBR","short_pith_number":"pith:GMOAH3FG","schema_version":"1.0","canonical_sha256":"331c03eca6739c7b3f6b13bebdd8130c6a15a884e5e7a13e7df0aa6ac2b26e22","source":{"kind":"arxiv","id":"1310.5236","version":1},"attestation_state":"computed","paper":{"title":"The Hodge group and endomorphism algebra of an Abelian variety","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Mikhail Borovoi","submitted_at":"2013-10-19T15:05:34Z","abstract_excerpt":"This is an English translation of the author's 1981 note in Russian, published in a Yaroslavl collection. We prove that if an Abelian variety over C has no nontrivial endomorphisms, then its Hodge group is Q-simple."},"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":"1310.5236","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-19T15:05:34Z","cross_cats_sorted":[],"title_canon_sha256":"64d35149c3fdf578d7be65498aed88c92ea51a62c01766def8b29d6c62224d57","abstract_canon_sha256":"507155a56ad20e8e57cb3faa4bda142b4368e4f90598a26ef5ae7f948952759f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:09:46.526405Z","signature_b64":"aJTuWG5PeKGtbKuvE400Yo7/4+k0otm8conrF5NwBJU3HLsOOHWyGX3vvwwlENnsBQyPpswmhUEUHCusBNvxAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"331c03eca6739c7b3f6b13bebdd8130c6a15a884e5e7a13e7df0aa6ac2b26e22","last_reissued_at":"2026-05-18T03:09:46.525496Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:09:46.525496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Hodge group and endomorphism algebra of an Abelian variety","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Mikhail Borovoi","submitted_at":"2013-10-19T15:05:34Z","abstract_excerpt":"This is an English translation of the author's 1981 note in Russian, published in a Yaroslavl collection. We prove that if an Abelian variety over C has no nontrivial endomorphisms, then its Hodge group is Q-simple."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5236","kind":"arxiv","version":1},"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":"1310.5236","created_at":"2026-05-18T03:09:46.525650+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.5236v1","created_at":"2026-05-18T03:09:46.525650+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5236","created_at":"2026-05-18T03:09:46.525650+00:00"},{"alias_kind":"pith_short_12","alias_value":"GMOAH3FGOOOH","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"GMOAH3FGOOOHWP3L","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"GMOAH3FG","created_at":"2026-05-18T12:27:45.050594+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/GMOAH3FGOOOHWP3LCO7L3WATBR","json":"https://pith.science/pith/GMOAH3FGOOOHWP3LCO7L3WATBR.json","graph_json":"https://pith.science/api/pith-number/GMOAH3FGOOOHWP3LCO7L3WATBR/graph.json","events_json":"https://pith.science/api/pith-number/GMOAH3FGOOOHWP3LCO7L3WATBR/events.json","paper":"https://pith.science/paper/GMOAH3FG"},"agent_actions":{"view_html":"https://pith.science/pith/GMOAH3FGOOOHWP3LCO7L3WATBR","download_json":"https://pith.science/pith/GMOAH3FGOOOHWP3LCO7L3WATBR.json","view_paper":"https://pith.science/paper/GMOAH3FG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.5236&json=true","fetch_graph":"https://pith.science/api/pith-number/GMOAH3FGOOOHWP3LCO7L3WATBR/graph.json","fetch_events":"https://pith.science/api/pith-number/GMOAH3FGOOOHWP3LCO7L3WATBR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GMOAH3FGOOOHWP3LCO7L3WATBR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GMOAH3FGOOOHWP3LCO7L3WATBR/action/storage_attestation","attest_author":"https://pith.science/pith/GMOAH3FGOOOHWP3LCO7L3WATBR/action/author_attestation","sign_citation":"https://pith.science/pith/GMOAH3FGOOOHWP3LCO7L3WATBR/action/citation_signature","submit_replication":"https://pith.science/pith/GMOAH3FGOOOHWP3LCO7L3WATBR/action/replication_record"}},"created_at":"2026-05-18T03:09:46.525650+00:00","updated_at":"2026-05-18T03:09:46.525650+00:00"}