{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TU7NX75C3FCAAEYQXIDYRFQ2DU","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":"d3a80315ad840d8131436d910aa8361009494b52500a80c7d5ee3e45996b8fef","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-19T07:18:06Z","title_canon_sha256":"e5338cf6ad99f5597c1de251e53a6620b843599e20322fed03621fb50b7b4860"},"schema_version":"1.0","source":{"id":"1710.07019","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07019","created_at":"2026-05-17T23:45:00Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07019v3","created_at":"2026-05-17T23:45:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07019","created_at":"2026-05-17T23:45:00Z"},{"alias_kind":"pith_short_12","alias_value":"TU7NX75C3FCA","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TU7NX75C3FCAAEYQ","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TU7NX75C","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:4e518044b9ff4da93b14ee91cc474d93d6b902b0c5a9f39043bfed8a164d8fca","target":"graph","created_at":"2026-05-17T23:45:00Z","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 show that there is a smooth complex projective variety, of any dimension greater than or equal to two, whose automorphism group is discrete and not finitely generated. Moreover, this variety admits infinitely many real forms which are mutually non-isomorphic over the real number field. Our result is inspired by the work of Lesieutre and answers questions by Dolgachev, Esnault and Lesieutre.","authors_text":"Keiji Oguiso, Tien-Cuong Dinh","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-19T07:18:06Z","title":"A surface with discrete and non-finitely generated automorphism group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07019","kind":"arxiv","version":3},"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":"sha256:68f0c69ce4fc580de12d6eada3425c9b9fb7e5d90c62ec98787afc969dea8615","target":"record","created_at":"2026-05-17T23:45:00Z","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":"d3a80315ad840d8131436d910aa8361009494b52500a80c7d5ee3e45996b8fef","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-19T07:18:06Z","title_canon_sha256":"e5338cf6ad99f5597c1de251e53a6620b843599e20322fed03621fb50b7b4860"},"schema_version":"1.0","source":{"id":"1710.07019","kind":"arxiv","version":3}},"canonical_sha256":"9d3edbffa2d944001310ba0788961a1d27baa6039d47e5ef3f133069c0bd8ae4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d3edbffa2d944001310ba0788961a1d27baa6039d47e5ef3f133069c0bd8ae4","first_computed_at":"2026-05-17T23:45:00.054411Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:00.054411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ctOqB6TsISzwfMKQQIivl33x/+rHLgFjG2XnGiHACypwRjmHI9WJ1ohPQ8miyqfmQZpQp/CXc/Astdf/Hm80BQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:00.054923Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.07019","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68f0c69ce4fc580de12d6eada3425c9b9fb7e5d90c62ec98787afc969dea8615","sha256:4e518044b9ff4da93b14ee91cc474d93d6b902b0c5a9f39043bfed8a164d8fca"],"state_sha256":"eb860a0c54781caee76bb289476dd96a7d50332621b08ee860f5672db7afdb4c"}