{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:CLHZ2MBTWGGQOAPDWJ3IYHZLYW","short_pith_number":"pith:CLHZ2MBT","schema_version":"1.0","canonical_sha256":"12cf9d3033b18d0701e3b2768c1f2bc598cfc966958c953b857d775e2a0f0b3f","source":{"kind":"arxiv","id":"1808.00351","version":3},"attestation_state":"computed","paper":{"title":"A practical algorithm to compute the geometric Picard lattice of K3 surfaces of degree $2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dino Festi","submitted_at":"2018-08-01T15:03:04Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1808.00351","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-08-01T15:03:04Z","cross_cats_sorted":[],"title_canon_sha256":"d117fab0212e444547f97c484cc8bb18755e2edfb077404b99f6cbc7c45ebc10","abstract_canon_sha256":"fad3ddc333b1ac40f4b9a168d46849752552fca1003836b00c0162b27e6093bf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:55.556503Z","signature_b64":"fJuNNSguI/5FK3kwtsHnZXN0HbaxmxxmymXAfAFAqNKuWSFGMr+dQFdcmAFKfinlRqdaRVALopyrWoCYYLKsDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12cf9d3033b18d0701e3b2768c1f2bc598cfc966958c953b857d775e2a0f0b3f","last_reissued_at":"2026-05-18T00:03:55.556000Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:55.556000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A practical algorithm to compute the geometric Picard lattice of K3 surfaces of degree $2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dino Festi","submitted_at":"2018-08-01T15:03:04Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00351","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1808.00351","created_at":"2026-05-18T00:03:55.556083+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.00351v3","created_at":"2026-05-18T00:03:55.556083+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00351","created_at":"2026-05-18T00:03:55.556083+00:00"},{"alias_kind":"pith_short_12","alias_value":"CLHZ2MBTWGGQ","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_16","alias_value":"CLHZ2MBTWGGQOAPD","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_8","alias_value":"CLHZ2MBT","created_at":"2026-05-18T12:32:16.446611+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CLHZ2MBTWGGQOAPDWJ3IYHZLYW","json":"https://pith.science/pith/CLHZ2MBTWGGQOAPDWJ3IYHZLYW.json","graph_json":"https://pith.science/api/pith-number/CLHZ2MBTWGGQOAPDWJ3IYHZLYW/graph.json","events_json":"https://pith.science/api/pith-number/CLHZ2MBTWGGQOAPDWJ3IYHZLYW/events.json","paper":"https://pith.science/paper/CLHZ2MBT"},"agent_actions":{"view_html":"https://pith.science/pith/CLHZ2MBTWGGQOAPDWJ3IYHZLYW","download_json":"https://pith.science/pith/CLHZ2MBTWGGQOAPDWJ3IYHZLYW.json","view_paper":"https://pith.science/paper/CLHZ2MBT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.00351&json=true","fetch_graph":"https://pith.science/api/pith-number/CLHZ2MBTWGGQOAPDWJ3IYHZLYW/graph.json","fetch_events":"https://pith.science/api/pith-number/CLHZ2MBTWGGQOAPDWJ3IYHZLYW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CLHZ2MBTWGGQOAPDWJ3IYHZLYW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CLHZ2MBTWGGQOAPDWJ3IYHZLYW/action/storage_attestation","attest_author":"https://pith.science/pith/CLHZ2MBTWGGQOAPDWJ3IYHZLYW/action/author_attestation","sign_citation":"https://pith.science/pith/CLHZ2MBTWGGQOAPDWJ3IYHZLYW/action/citation_signature","submit_replication":"https://pith.science/pith/CLHZ2MBTWGGQOAPDWJ3IYHZLYW/action/replication_record"}},"created_at":"2026-05-18T00:03:55.556083+00:00","updated_at":"2026-05-18T00:03:55.556083+00:00"}