{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IDXQ74ZZHGMQR5BF7LIWVULMWP","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":"0edc8d2bbf4e13ef9117ee8cc77af497fcf9e58604eda69f45979a7b5025d6cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-06T10:17:51Z","title_canon_sha256":"f711bad34f31dd7ef545521913738705a66edefcdef00134eeb9c71c0fdca7a7"},"schema_version":"1.0","source":{"id":"1111.1395","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.1395","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"arxiv_version","alias_value":"1111.1395v3","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1395","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"pith_short_12","alias_value":"IDXQ74ZZHGMQ","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"IDXQ74ZZHGMQR5BF","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"IDXQ74ZZ","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:56ba15c64d18e6ebf6c8ef459d8b4f80f068d5f23a20f663e25c7edb98d3fbcf","target":"graph","created_at":"2026-05-18T02:54:47Z","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 study the GIT quotient of the symplectic grassmannian parametrizing lagrangian subspaces of \\bigwedge^3{\\mathbb C}^6 by the natural action of SL_6, call it M. This is a compactification of the moduli space of smooth double EPW-sextics. We determine the stable points, the irreducible components of the GIT boundary and their dimensions. There are strong analogies with the moduli space of cubic 4-folds: we prove a result which is analogous to a theorem of Laza stating that cubic 4-folds with simple singularities are stable. Our final goal (not achieved in the present paper) is to understand th","authors_text":"Kieran G. O'Grady","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-06T10:17:51Z","title":"Moduli of double EPW-sextics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1395","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":"sha256:68f03721c33a08acfc117ea0f7150aa00930480fa5ea6caea62d81932be757c1","target":"record","created_at":"2026-05-18T02:54:47Z","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":"0edc8d2bbf4e13ef9117ee8cc77af497fcf9e58604eda69f45979a7b5025d6cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-06T10:17:51Z","title_canon_sha256":"f711bad34f31dd7ef545521913738705a66edefcdef00134eeb9c71c0fdca7a7"},"schema_version":"1.0","source":{"id":"1111.1395","kind":"arxiv","version":3}},"canonical_sha256":"40ef0ff339399908f425fad16ad16cb3db938a7d031d9d411d6d9d87d3d55629","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40ef0ff339399908f425fad16ad16cb3db938a7d031d9d411d6d9d87d3d55629","first_computed_at":"2026-05-18T02:54:47.391028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:47.391028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pV51yFlrcv2VGpMVS/sqR0dZozCvm/04+Q6xfMw7BBc51PoK1A+yTqQvnTaToUa7K5l+sWm/MlThdQzkyaNaDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:47.391406Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.1395","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68f03721c33a08acfc117ea0f7150aa00930480fa5ea6caea62d81932be757c1","sha256:56ba15c64d18e6ebf6c8ef459d8b4f80f068d5f23a20f663e25c7edb98d3fbcf"],"state_sha256":"d3a50e3563b02e66e82d34b87f671528d84314c44ce44662c19cca6d0750c425"}