{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FYPGQZRWG24AOHMNGRZZ2DELAN","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":"9209309e0d251d8eaaa67333340ed7267135dd0f97a97931867f0507f8fe8ddd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-12T05:47:13Z","title_canon_sha256":"4066d008aa0adab59b6c8dc566656d92f6041201900fc939629da65b13863d25"},"schema_version":"1.0","source":{"id":"1411.3079","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.3079","created_at":"2026-05-18T02:37:51Z"},{"alias_kind":"arxiv_version","alias_value":"1411.3079v1","created_at":"2026-05-18T02:37:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.3079","created_at":"2026-05-18T02:37:51Z"},{"alias_kind":"pith_short_12","alias_value":"FYPGQZRWG24A","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FYPGQZRWG24AOHMN","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FYPGQZRW","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:66d59435ca434da7f695a566d9574fc3a49149bcad9c6eaf5d232dab057e0f08","target":"graph","created_at":"2026-05-18T02:37:51Z","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 give a 1-dimensional family of classical and supersingular Enriques surfaces in characteristic 2 covered by the supersingular K3 surface with Artin invariant 1. Moreover we show that there exist 30 nonsingular rational curves and ten non-effective (-2)-divisors on these Enriques surfaces whose reflection group is of finite index in the orthogonal group of the Neron-Severi lattice modulo torsion.","authors_text":"Shigeyuki Kondo, Toshiyuki Katsura","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-12T05:47:13Z","title":"A 1-dimensional family of Enriques surfaces in characteristic 2 covered by the supersingular K3 surface with Artin invariant 1"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3079","kind":"arxiv","version":1},"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":"sha256:6624e27fa3331527b50741b263a5433bd53dc179ea78117ef5ba8ae0a7af3a35","target":"record","created_at":"2026-05-18T02:37:51Z","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":"9209309e0d251d8eaaa67333340ed7267135dd0f97a97931867f0507f8fe8ddd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-12T05:47:13Z","title_canon_sha256":"4066d008aa0adab59b6c8dc566656d92f6041201900fc939629da65b13863d25"},"schema_version":"1.0","source":{"id":"1411.3079","kind":"arxiv","version":1}},"canonical_sha256":"2e1e68663636b8071d8d34739d0c8b034fc5e41f2e63d77c229cf3a0b1946d74","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e1e68663636b8071d8d34739d0c8b034fc5e41f2e63d77c229cf3a0b1946d74","first_computed_at":"2026-05-18T02:37:51.001560Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:51.001560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oj5vEpBD+x9JyIEMTlwGYwpab4AgZwh5hCvgTIn68wNHvT9XlcKie2Kuve6OoGmmSiiap/P/ROhrg/YltmirDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:51.002057Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.3079","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6624e27fa3331527b50741b263a5433bd53dc179ea78117ef5ba8ae0a7af3a35","sha256:66d59435ca434da7f695a566d9574fc3a49149bcad9c6eaf5d232dab057e0f08"],"state_sha256":"5625595acf0a10c63523d04fd5f745e5a52a6c09b166be39221ad1d75b81af03"}