{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6ADWFKL3TIRRZX73FCCNWLZPH4","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":"3d87262372361d38bf7ea5e3664d3eadb3dd93426d3572a42b253e1079bc8480","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-06T19:44:38Z","title_canon_sha256":"38f6c34df00da76319ce0c2bad2ca96119512e162a8d8598aa72b703454d56ae"},"schema_version":"1.0","source":{"id":"1212.1426","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1426","created_at":"2026-05-18T03:01:56Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1426v2","created_at":"2026-05-18T03:01:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1426","created_at":"2026-05-18T03:01:56Z"},{"alias_kind":"pith_short_12","alias_value":"6ADWFKL3TIRR","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6ADWFKL3TIRRZX73","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6ADWFKL3","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:8b84dd1caafb4b7ef8b9eb4628dbdddaf4a5fd62b83c46c7f3a5f9b6a918c7db","target":"graph","created_at":"2026-05-18T03:01:56Z","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 study the geometry of B\\\"uchi's K3 surface showing that the rational points of this surface are Zariski-dense.","authors_text":"Antonio Laface, Damiano Testa, Michela Artebani","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-06T19:44:38Z","title":"On B\\\"uchi's K3 surface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1426","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":"sha256:9aedd3a89956c8a55c213bec8fb2e6ace14b604de75286014487dd11f09bfb72","target":"record","created_at":"2026-05-18T03:01:56Z","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":"3d87262372361d38bf7ea5e3664d3eadb3dd93426d3572a42b253e1079bc8480","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-06T19:44:38Z","title_canon_sha256":"38f6c34df00da76319ce0c2bad2ca96119512e162a8d8598aa72b703454d56ae"},"schema_version":"1.0","source":{"id":"1212.1426","kind":"arxiv","version":2}},"canonical_sha256":"f00762a97b9a231cdffb2884db2f2f3f09b0a5e6e7ddb5bfe9015f2b2cc829b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f00762a97b9a231cdffb2884db2f2f3f09b0a5e6e7ddb5bfe9015f2b2cc829b6","first_computed_at":"2026-05-18T03:01:56.485442Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:56.485442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W+Bgxp+dPXqZS5xBdY1ozijyHUh9ay3ocwlnuxjCQ0tEnu5snkq5gniWth1CLB0WA1S7WSF+pJN6FSeTi7hbCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:56.486131Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.1426","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9aedd3a89956c8a55c213bec8fb2e6ace14b604de75286014487dd11f09bfb72","sha256:8b84dd1caafb4b7ef8b9eb4628dbdddaf4a5fd62b83c46c7f3a5f9b6a918c7db"],"state_sha256":"a8306a4a0f9c3de575ebe843f9314e4414b5ce378876f1a1a3789ec6db09cbf0"}