{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YSREPQUL7ZJ4BPW5KOHWOIFDJD","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":"066f625194e0fe5dc962a99e527a6dec38552c4d2fb63fd6f33f84991ea6bab9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-22T09:17:20Z","title_canon_sha256":"8dd584537e2d5e0d15196ba6131f16da190f9e22ee34cfe59589ad4f1e044ba8"},"schema_version":"1.0","source":{"id":"1412.6904","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.6904","created_at":"2026-05-18T01:30:35Z"},{"alias_kind":"arxiv_version","alias_value":"1412.6904v2","created_at":"2026-05-18T01:30:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6904","created_at":"2026-05-18T01:30:35Z"},{"alias_kind":"pith_short_12","alias_value":"YSREPQUL7ZJ4","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YSREPQUL7ZJ4BPW5","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YSREPQUL","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:3093f3369a4ac276ee33421d61594093eaff43f04f9ebf095b27ec618e9875c3","target":"graph","created_at":"2026-05-18T01:30:35Z","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":"We present finite sets of generators of the full automorphism groups of three singular K3 surfaces, on which the alternating group of degree 6 acts symplectically. We also present a finite set of generators of the full automorphism group of an associated Enriques surface, on which the Mathieu group M_{10} acts.","authors_text":"Ichiro Shimada","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-22T09:17:20Z","title":"The automorphism groups of certain singular K3 surfaces and an Enriques surface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6904","kind":"arxiv","version":2},"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":"sha256:17e283fd2b540b004308bca23bd640590e5f9bcde93f0946b153c196e4c27264","target":"record","created_at":"2026-05-18T01:30:35Z","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":"066f625194e0fe5dc962a99e527a6dec38552c4d2fb63fd6f33f84991ea6bab9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-22T09:17:20Z","title_canon_sha256":"8dd584537e2d5e0d15196ba6131f16da190f9e22ee34cfe59589ad4f1e044ba8"},"schema_version":"1.0","source":{"id":"1412.6904","kind":"arxiv","version":2}},"canonical_sha256":"c4a247c28bfe53c0bedd538f6720a348d56ba5ba662b48c82ae51d78a775f33b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4a247c28bfe53c0bedd538f6720a348d56ba5ba662b48c82ae51d78a775f33b","first_computed_at":"2026-05-18T01:30:35.002294Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:35.002294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8VttK96+Bs8aX/6glhtgQ/Tj47Drgkm8fiTkRmsDE2l8bau6CFzIqdZAfl2eomC8rol6trLH8dHMB/ncYvauAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:35.003088Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.6904","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17e283fd2b540b004308bca23bd640590e5f9bcde93f0946b153c196e4c27264","sha256:3093f3369a4ac276ee33421d61594093eaff43f04f9ebf095b27ec618e9875c3"],"state_sha256":"b99153e2fb37e8d270686080fb71f14bb7b63a2be24910323a585c3665cd82af"}