{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:4H7WSHXE2VR2Y6LEEVAZ3YLHXY","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":"c2553de346a07d5ba78f2af13292b4498a84845f4b9f5c5c7ffa315061e888c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-07-28T12:51:54Z","title_canon_sha256":"c6deeb7a1556ec94a1667c23ee1d768283f6fb736f190c33c1b7d5c39f46278f"},"schema_version":"1.0","source":{"id":"1007.4952","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.4952","created_at":"2026-05-18T03:35:54Z"},{"alias_kind":"arxiv_version","alias_value":"1007.4952v3","created_at":"2026-05-18T03:35:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.4952","created_at":"2026-05-18T03:35:54Z"},{"alias_kind":"pith_short_12","alias_value":"4H7WSHXE2VR2","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"4H7WSHXE2VR2Y6LE","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"4H7WSHXE","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:4105e1dff8889c6044e5c82f09c5f8093e678accdc286d810ad2c8514d5d1af0","target":"graph","created_at":"2026-05-18T03:35:54Z","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":"EPW-sextics are special 4-dimensional sextic hypersurfaces (with 20 moduli) which come equipped with a double cover. We analyze the double cover of EPW-sextics parametrized by a certain prime divisor in the moduli space. We associate to the generic sextic parametrized by that divisor a K3 surface of genus 6 and we show that the double epw sextic is a contraction of the Hilbert square of the K3. This result has two consequences. First it gives a new proof of the following result of ours: smooth double EPW-sextics form a locally complete family of hyperkaehler projective deformations of the Hilb","authors_text":"Kieran G. O'Grady","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-07-28T12:51:54Z","title":"Double covers of EPW-sextics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.4952","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":"sha256:1c47aed80977d0f89519c1d1c4af7f6f1fbb271b7f84f305f162ca45ea5ec385","target":"record","created_at":"2026-05-18T03:35:54Z","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":"c2553de346a07d5ba78f2af13292b4498a84845f4b9f5c5c7ffa315061e888c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-07-28T12:51:54Z","title_canon_sha256":"c6deeb7a1556ec94a1667c23ee1d768283f6fb736f190c33c1b7d5c39f46278f"},"schema_version":"1.0","source":{"id":"1007.4952","kind":"arxiv","version":3}},"canonical_sha256":"e1ff691ee4d563ac796425419de167be3c71bdba087ddd5e6d833b940fa3b200","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1ff691ee4d563ac796425419de167be3c71bdba087ddd5e6d833b940fa3b200","first_computed_at":"2026-05-18T03:35:54.589785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:54.589785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wclm9HHdfRVTXhn8e66DpJP3+ogXsm0CI1TMCRgurhvnpnPEPoSHqeA38Ft9xSFh0HWRygMlnUjT9zmOH0NGCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:54.590491Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.4952","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c47aed80977d0f89519c1d1c4af7f6f1fbb271b7f84f305f162ca45ea5ec385","sha256:4105e1dff8889c6044e5c82f09c5f8093e678accdc286d810ad2c8514d5d1af0"],"state_sha256":"5ba27f5fd1890f968000611a95cd6f7648e9a0bb5e4cb49876239936cb7e3e08"}