{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:XS3YYJC7HXHIIM2Z466SN5CNEE","short_pith_number":"pith:XS3YYJC7","schema_version":"1.0","canonical_sha256":"bcb78c245f3dce843359e7bd26f44d21346e4c08b3770c9a9903589be8b8a512","source":{"kind":"arxiv","id":"1412.2535","version":2},"attestation_state":"computed","paper":{"title":"Simple abelian varieties and primitive automorphisms of null entropy of surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Keiji Oguiso","submitted_at":"2014-12-08T12:16:24Z","abstract_excerpt":"We characterize simple complex abelian varieties and simple abelian surfaces in terms of primitivity of translation automorphisms. Applying this together with a result due to Diller and Favre, we then classify all primitive birational automorphisms with trivial first dynamical degree of smooth projective surfaces over an algebraically closed field of any characteristic."},"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":"1412.2535","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-08T12:16:24Z","cross_cats_sorted":[],"title_canon_sha256":"a8b36556f82f2710d0ca33baaedf58de87a9321f124d6bfdb2337548283a611a","abstract_canon_sha256":"98c07ead56f45f9965ccfb1f672c5f3334bd420e26b810d2f50209c7f2b59dfe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:20.253527Z","signature_b64":"FJJAy/49a8sN40vavIRIrKSdcwMJnypVyaLdWcUOxyFyF/ZtBpsdUyDkMJlVTVv0WqQQKrYK/MhVAErL//D+Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bcb78c245f3dce843359e7bd26f44d21346e4c08b3770c9a9903589be8b8a512","last_reissued_at":"2026-05-18T02:31:20.252818Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:20.252818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simple abelian varieties and primitive automorphisms of null entropy of surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Keiji Oguiso","submitted_at":"2014-12-08T12:16:24Z","abstract_excerpt":"We characterize simple complex abelian varieties and simple abelian surfaces in terms of primitivity of translation automorphisms. Applying this together with a result due to Diller and Favre, we then classify all primitive birational automorphisms with trivial first dynamical degree of smooth projective surfaces over an algebraically closed field of any characteristic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2535","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":"1412.2535","created_at":"2026-05-18T02:31:20.252931+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.2535v2","created_at":"2026-05-18T02:31:20.252931+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.2535","created_at":"2026-05-18T02:31:20.252931+00:00"},{"alias_kind":"pith_short_12","alias_value":"XS3YYJC7HXHI","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"XS3YYJC7HXHIIM2Z","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"XS3YYJC7","created_at":"2026-05-18T12:28:57.508820+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/XS3YYJC7HXHIIM2Z466SN5CNEE","json":"https://pith.science/pith/XS3YYJC7HXHIIM2Z466SN5CNEE.json","graph_json":"https://pith.science/api/pith-number/XS3YYJC7HXHIIM2Z466SN5CNEE/graph.json","events_json":"https://pith.science/api/pith-number/XS3YYJC7HXHIIM2Z466SN5CNEE/events.json","paper":"https://pith.science/paper/XS3YYJC7"},"agent_actions":{"view_html":"https://pith.science/pith/XS3YYJC7HXHIIM2Z466SN5CNEE","download_json":"https://pith.science/pith/XS3YYJC7HXHIIM2Z466SN5CNEE.json","view_paper":"https://pith.science/paper/XS3YYJC7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.2535&json=true","fetch_graph":"https://pith.science/api/pith-number/XS3YYJC7HXHIIM2Z466SN5CNEE/graph.json","fetch_events":"https://pith.science/api/pith-number/XS3YYJC7HXHIIM2Z466SN5CNEE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XS3YYJC7HXHIIM2Z466SN5CNEE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XS3YYJC7HXHIIM2Z466SN5CNEE/action/storage_attestation","attest_author":"https://pith.science/pith/XS3YYJC7HXHIIM2Z466SN5CNEE/action/author_attestation","sign_citation":"https://pith.science/pith/XS3YYJC7HXHIIM2Z466SN5CNEE/action/citation_signature","submit_replication":"https://pith.science/pith/XS3YYJC7HXHIIM2Z466SN5CNEE/action/replication_record"}},"created_at":"2026-05-18T02:31:20.252931+00:00","updated_at":"2026-05-18T02:31:20.252931+00:00"}