{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:I6QWCHVMCFZZ3LNCCFEPDCVKVH","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":"9e749145991f5ce4322b8dbc7645663ec526c3fec3e08f80ecc4e45172bddbb2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-04-08T05:56:48Z","title_canon_sha256":"7fe882a04d6a7647520bda867478c6d6b4941ae32268c4da67846827a8db1553"},"schema_version":"1.0","source":{"id":"1204.1711","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1711","created_at":"2026-05-18T03:12:35Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1711v5","created_at":"2026-05-18T03:12:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1711","created_at":"2026-05-18T03:12:35Z"},{"alias_kind":"pith_short_12","alias_value":"I6QWCHVMCFZZ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"I6QWCHVMCFZZ3LNC","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"I6QWCHVM","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:366bcf30acd0714d2e28b10ce273eff4e1692cfb56d990a43b1f5cf8e9cc98a0","target":"graph","created_at":"2026-05-18T03:12:35Z","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":"In characteristic $p=0$ or $p>5$, we show that a K3 surface with an order 60 automorphism is unique up to isomorphism. As a consequence, we characterize the supersingular K3 surface with Artin invariant 1 in characteristic $p=11$ (mod 12) by a cyclic symmetry of order 60.","authors_text":"JongHae Keum","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-04-08T05:56:48Z","title":"K3 surfaces with an order 60 automorphism and a characterization of supersingular K3 surfaces with Artin invariant 1"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1711","kind":"arxiv","version":5},"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":"sha256:146e7ea317123913f7ba9b588e4d32f734ffd0cfa09ecb64c88930ea90fba6f8","target":"record","created_at":"2026-05-18T03:12:35Z","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":"9e749145991f5ce4322b8dbc7645663ec526c3fec3e08f80ecc4e45172bddbb2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-04-08T05:56:48Z","title_canon_sha256":"7fe882a04d6a7647520bda867478c6d6b4941ae32268c4da67846827a8db1553"},"schema_version":"1.0","source":{"id":"1204.1711","kind":"arxiv","version":5}},"canonical_sha256":"47a1611eac11739dada21148f18aaaa9fee4ab48d0bd60a514cce02ef6948860","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47a1611eac11739dada21148f18aaaa9fee4ab48d0bd60a514cce02ef6948860","first_computed_at":"2026-05-18T03:12:35.208461Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:12:35.208461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"63/vpnV5DxR2rkEL3Cu5xDHEoTCi3gR9seaeXVWTH8QCT1VlbQRp2TcoQcZ6jAqdcLAivXcPzl9C1lv3+/qxDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:12:35.209246Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.1711","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:146e7ea317123913f7ba9b588e4d32f734ffd0cfa09ecb64c88930ea90fba6f8","sha256:366bcf30acd0714d2e28b10ce273eff4e1692cfb56d990a43b1f5cf8e9cc98a0"],"state_sha256":"326c2f6f4a8bd21d30b7e54e44039aeffd2d38976bfb009b47e890edd678dcda"}