{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:4A3HOTMESG3FX64ELMWVIMPSKE","short_pith_number":"pith:4A3HOTME","canonical_record":{"source":{"id":"1208.1016","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-08-05T14:38:18Z","cross_cats_sorted":[],"title_canon_sha256":"7ebac8f04a3744586d7786ee524b30958cb5365fd458b8b8d8923aed4ccc87c1","abstract_canon_sha256":"22c9f84828f713c2fc8c441285065612e9a2cf05a71c1b880525b407645eaeaa"},"schema_version":"1.0"},"canonical_sha256":"e036774d8491b65bfb845b2d5431f2512c0f583f24a697de0fedcb375a125fb4","source":{"kind":"arxiv","id":"1208.1016","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.1016","created_at":"2026-05-18T03:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"1208.1016v2","created_at":"2026-05-18T03:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1016","created_at":"2026-05-18T03:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"4A3HOTMESG3F","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4A3HOTMESG3FX64E","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4A3HOTME","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:4A3HOTMESG3FX64ELMWVIMPSKE","target":"record","payload":{"canonical_record":{"source":{"id":"1208.1016","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-08-05T14:38:18Z","cross_cats_sorted":[],"title_canon_sha256":"7ebac8f04a3744586d7786ee524b30958cb5365fd458b8b8d8923aed4ccc87c1","abstract_canon_sha256":"22c9f84828f713c2fc8c441285065612e9a2cf05a71c1b880525b407645eaeaa"},"schema_version":"1.0"},"canonical_sha256":"e036774d8491b65bfb845b2d5431f2512c0f583f24a697de0fedcb375a125fb4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:45.994605Z","signature_b64":"iKMV7Q3YI1vumhZ6TXxE1BlZpKzTIDhfwO60YHuTUrWIjYnjaEQIzmJga/HD5qCEyRXvU42/+40oEgAU+NI4Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e036774d8491b65bfb845b2d5431f2512c0f583f24a697de0fedcb375a125fb4","last_reissued_at":"2026-05-18T03:38:45.993868Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:45.993868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.1016","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:38:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pg7K4vpHbNJnJhZRTVTOC9e8PfxYVhIlaqNMnPkzSpafPSc0T2LopAund28hWsVleqglYlMRK9k3VqhyNlmaAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T23:16:30.006539Z"},"content_sha256":"d833cb5062f66541b93d74c4a62cb384311777d742bb09abe25126e12a193b23","schema_version":"1.0","event_id":"sha256:d833cb5062f66541b93d74c4a62cb384311777d742bb09abe25126e12a193b23"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:4A3HOTMESG3FX64ELMWVIMPSKE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Cayley-Oguiso automorphism of positive entropy on a K3 surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alice Garbagnati, Bert van Geemen, Dino Festi, Ronald van Luijk","submitted_at":"2012-08-05T14:38:18Z","abstract_excerpt":"Recently Oguiso showed the existence of K3 surfaces that admit a fixed point free automorphism of positive entropy. The K3 surfaces used by Oguiso have a particular rank two Picard lattice. We show, using results of Beauville, that these surfaces are therefore determinantal quartic surfaces. Long ago, Cayley constructed an automorphism of such determinantal surfaces. We show that Cayley's automorphism coincides with Oguiso's free automorphism. We also exhibit an explicit example of a determinantal quartic whose Picard lattice has exactly rank two and for which we thus have an explicit descript"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1016","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:38:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pAFowdDDw3BWGh4eNMzhhz4wTaCMkyY20VYPdMQ0MRPiKJKBWQpzfg4JpUaZiDwXAtB7IEuSBYHiiIRXU1CjCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T23:16:30.006876Z"},"content_sha256":"d6834a56b0047c4104cf89f4efe452a5ffac4b74c3477c9851ed3aefef1199c3","schema_version":"1.0","event_id":"sha256:d6834a56b0047c4104cf89f4efe452a5ffac4b74c3477c9851ed3aefef1199c3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4A3HOTMESG3FX64ELMWVIMPSKE/bundle.json","state_url":"https://pith.science/pith/4A3HOTMESG3FX64ELMWVIMPSKE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4A3HOTMESG3FX64ELMWVIMPSKE/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-25T23:16:30Z","links":{"resolver":"https://pith.science/pith/4A3HOTMESG3FX64ELMWVIMPSKE","bundle":"https://pith.science/pith/4A3HOTMESG3FX64ELMWVIMPSKE/bundle.json","state":"https://pith.science/pith/4A3HOTMESG3FX64ELMWVIMPSKE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4A3HOTMESG3FX64ELMWVIMPSKE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4A3HOTMESG3FX64ELMWVIMPSKE","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":"22c9f84828f713c2fc8c441285065612e9a2cf05a71c1b880525b407645eaeaa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-08-05T14:38:18Z","title_canon_sha256":"7ebac8f04a3744586d7786ee524b30958cb5365fd458b8b8d8923aed4ccc87c1"},"schema_version":"1.0","source":{"id":"1208.1016","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.1016","created_at":"2026-05-18T03:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"1208.1016v2","created_at":"2026-05-18T03:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1016","created_at":"2026-05-18T03:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"4A3HOTMESG3F","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4A3HOTMESG3FX64E","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4A3HOTME","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:d6834a56b0047c4104cf89f4efe452a5ffac4b74c3477c9851ed3aefef1199c3","target":"graph","created_at":"2026-05-18T03:38:45Z","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":"Recently Oguiso showed the existence of K3 surfaces that admit a fixed point free automorphism of positive entropy. The K3 surfaces used by Oguiso have a particular rank two Picard lattice. We show, using results of Beauville, that these surfaces are therefore determinantal quartic surfaces. Long ago, Cayley constructed an automorphism of such determinantal surfaces. We show that Cayley's automorphism coincides with Oguiso's free automorphism. We also exhibit an explicit example of a determinantal quartic whose Picard lattice has exactly rank two and for which we thus have an explicit descript","authors_text":"Alice Garbagnati, Bert van Geemen, Dino Festi, Ronald van Luijk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-08-05T14:38:18Z","title":"The Cayley-Oguiso automorphism of positive entropy on a K3 surface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1016","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:d833cb5062f66541b93d74c4a62cb384311777d742bb09abe25126e12a193b23","target":"record","created_at":"2026-05-18T03:38:45Z","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":"22c9f84828f713c2fc8c441285065612e9a2cf05a71c1b880525b407645eaeaa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-08-05T14:38:18Z","title_canon_sha256":"7ebac8f04a3744586d7786ee524b30958cb5365fd458b8b8d8923aed4ccc87c1"},"schema_version":"1.0","source":{"id":"1208.1016","kind":"arxiv","version":2}},"canonical_sha256":"e036774d8491b65bfb845b2d5431f2512c0f583f24a697de0fedcb375a125fb4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e036774d8491b65bfb845b2d5431f2512c0f583f24a697de0fedcb375a125fb4","first_computed_at":"2026-05-18T03:38:45.993868Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:45.993868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iKMV7Q3YI1vumhZ6TXxE1BlZpKzTIDhfwO60YHuTUrWIjYnjaEQIzmJga/HD5qCEyRXvU42/+40oEgAU+NI4Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:45.994605Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.1016","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d833cb5062f66541b93d74c4a62cb384311777d742bb09abe25126e12a193b23","sha256:d6834a56b0047c4104cf89f4efe452a5ffac4b74c3477c9851ed3aefef1199c3"],"state_sha256":"567af54cbf366fbf8b78d4e979031373bc3a5d0c5662ff6e944dfea47a8a09b5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OUEKxacnIwBwk1Ttb8Wabw2mn2axOar3hEea3IYB1QgWkpDbWoZbYlEEEa+uFbiesaeZm2J/7eTVTjvOUEKxAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T23:16:30.008886Z","bundle_sha256":"405c50d8f1dc23678744a7cb9e7d7765e4d965802213ab50a59868dbfee80421"}}