{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:CLHZ2MBTWGGQOAPDWJ3IYHZLYW","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":"fad3ddc333b1ac40f4b9a168d46849752552fca1003836b00c0162b27e6093bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-08-01T15:03:04Z","title_canon_sha256":"d117fab0212e444547f97c484cc8bb18755e2edfb077404b99f6cbc7c45ebc10"},"schema_version":"1.0","source":{"id":"1808.00351","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.00351","created_at":"2026-05-18T00:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"1808.00351v3","created_at":"2026-05-18T00:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00351","created_at":"2026-05-18T00:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"CLHZ2MBTWGGQ","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CLHZ2MBTWGGQOAPD","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CLHZ2MBT","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:b42f346150cfd5448b87171005a320909771ec4dd405b18e6d12946bf8d85e34","target":"graph","created_at":"2026-05-18T00:03:55Z","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":"Let $k$ be either a number a field or a function field over $\\mathbb{Q}$ with finitely many variables. We present a practical algorithm to compute the geometric Picard lattice of a K3 surface over $k$ of degree $2$, i.e., a double cover of the projective plane over $k$ ramified above a smooth sextic curve. The algorithm might not terminate, but if it terminates then it returns a proven correct answer.","authors_text":"Dino Festi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-08-01T15:03:04Z","title":"A practical algorithm to compute the geometric Picard lattice of K3 surfaces of degree $2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00351","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:b33307333d03aa73d5f4c6bdffbaae8065d0d66b2b42d133684715cd2d2bf2c7","target":"record","created_at":"2026-05-18T00:03:55Z","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":"fad3ddc333b1ac40f4b9a168d46849752552fca1003836b00c0162b27e6093bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-08-01T15:03:04Z","title_canon_sha256":"d117fab0212e444547f97c484cc8bb18755e2edfb077404b99f6cbc7c45ebc10"},"schema_version":"1.0","source":{"id":"1808.00351","kind":"arxiv","version":3}},"canonical_sha256":"12cf9d3033b18d0701e3b2768c1f2bc598cfc966958c953b857d775e2a0f0b3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12cf9d3033b18d0701e3b2768c1f2bc598cfc966958c953b857d775e2a0f0b3f","first_computed_at":"2026-05-18T00:03:55.556000Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:55.556000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fJuNNSguI/5FK3kwtsHnZXN0HbaxmxxmymXAfAFAqNKuWSFGMr+dQFdcmAFKfinlRqdaRVALopyrWoCYYLKsDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:55.556503Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.00351","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b33307333d03aa73d5f4c6bdffbaae8065d0d66b2b42d133684715cd2d2bf2c7","sha256:b42f346150cfd5448b87171005a320909771ec4dd405b18e6d12946bf8d85e34"],"state_sha256":"a04040ab11cfa7fc5c88c2dfcc0d672eea5644253a6f5e8c7822e5937109a769"}