{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:KCZJUVGH3L6YBF2N54LM23ECLA","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":"3ec01d90dd0e4e22b8e86c52f25bed3abc30a96ea2605f9d6d2920bb0589fad1","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2006-04-21T17:25:27Z","title_canon_sha256":"57bb3f138261f30408405325faaf50372f9cc4347e476c88111c0042a2c82936"},"schema_version":"1.0","source":{"id":"math/0604468","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0604468","created_at":"2026-05-18T01:38:24Z"},{"alias_kind":"arxiv_version","alias_value":"math/0604468v2","created_at":"2026-05-18T01:38:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0604468","created_at":"2026-05-18T01:38:24Z"},{"alias_kind":"pith_short_12","alias_value":"KCZJUVGH3L6Y","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"KCZJUVGH3L6YBF2N","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"KCZJUVGH","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:eca85cbcaa1baad52d5e2c2a9afe0020ca00fd871a0c55e248c467599dde8af8","target":"graph","created_at":"2026-05-18T01:38:24Z","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 $U\\subset \\mathbb P^N$ be a projective variety which is not a cone and whose hyperplane sections are smooth Enriques surfaces. We prove that the degree of a $U$ is at most 32 and the bound is sharp.","authors_text":"Yuri Prokhorov","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2006-04-21T17:25:27Z","title":"On Fano-Enriques threefolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0604468","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":"sha256:98bb8291f40bff55a1577bce7dac5cf652d66a7effa026e3e5f878e640373e2f","target":"record","created_at":"2026-05-18T01:38:24Z","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":"3ec01d90dd0e4e22b8e86c52f25bed3abc30a96ea2605f9d6d2920bb0589fad1","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2006-04-21T17:25:27Z","title_canon_sha256":"57bb3f138261f30408405325faaf50372f9cc4347e476c88111c0042a2c82936"},"schema_version":"1.0","source":{"id":"math/0604468","kind":"arxiv","version":2}},"canonical_sha256":"50b29a54c7dafd80974def16cd6c8258018dde99810f5afec7c8ce8260459560","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50b29a54c7dafd80974def16cd6c8258018dde99810f5afec7c8ce8260459560","first_computed_at":"2026-05-18T01:38:24.195592Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:24.195592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T/ZiEAH+R3lv/vyTP3aBHH3fkhkZse8V/KNXXSVtSXahBmTZTbP+gjLoFvrBXQyIoGBaqWTbXqQ6h9L1uNLWAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:24.196283Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0604468","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98bb8291f40bff55a1577bce7dac5cf652d66a7effa026e3e5f878e640373e2f","sha256:eca85cbcaa1baad52d5e2c2a9afe0020ca00fd871a0c55e248c467599dde8af8"],"state_sha256":"fead3f6de3e5c3cfbb5be625dbb7e21ac0d54457ed9bee292bd87d96a1de78cd"}