{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SRDU5HQ6VROYLRK3XZCPKPOS4U","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":"a76650e512852067ca65660dd63226411b11b35ffeb50d8fc065559fceff12d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-12-10T15:01:33Z","title_canon_sha256":"c35e6316db3f4fa9a5bde9213a8ab141e0eb64e70bc16e9c47b29303af126b81"},"schema_version":"1.0","source":{"id":"1712.03546","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.03546","created_at":"2026-05-18T00:19:41Z"},{"alias_kind":"arxiv_version","alias_value":"1712.03546v2","created_at":"2026-05-18T00:19:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.03546","created_at":"2026-05-18T00:19:41Z"},{"alias_kind":"pith_short_12","alias_value":"SRDU5HQ6VROY","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SRDU5HQ6VROYLRK3","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SRDU5HQ6","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:f14327dae93a223e108591dbabbb46de8c8306f6624956b62cce0229ce1bb0d9","target":"graph","created_at":"2026-05-18T00:19:41Z","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 $X$ be a cubic fourfold that has only simple singularities and does not contain a plane. We prove that the Fano variety of lines on $X$ has the same analytic type of singularity as the Hilbert scheme of two points on a surface with only ADE-singularities. This is shown as a corollary to the characterization of a singularity that is obtained as a $K3^{[2]}$-type contraction and has a unique symplectic resolution.","authors_text":"Ryo Yamagishi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-12-10T15:01:33Z","title":"Singularities of Fano varieties of lines on singular cubic fourfolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.03546","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":"sha256:74fdbf25b382b13401ad0c285c34cdd10b3a40e74ded4da1c1dfe8060d3acce7","target":"record","created_at":"2026-05-18T00:19:41Z","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":"a76650e512852067ca65660dd63226411b11b35ffeb50d8fc065559fceff12d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-12-10T15:01:33Z","title_canon_sha256":"c35e6316db3f4fa9a5bde9213a8ab141e0eb64e70bc16e9c47b29303af126b81"},"schema_version":"1.0","source":{"id":"1712.03546","kind":"arxiv","version":2}},"canonical_sha256":"94474e9e1eac5d85c55bbe44f53dd2e5091d0f4f78fe7242f7ff857fb8482d87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94474e9e1eac5d85c55bbe44f53dd2e5091d0f4f78fe7242f7ff857fb8482d87","first_computed_at":"2026-05-18T00:19:41.360906Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:41.360906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t0rzFCUhQYUxn7+QrEPI5Rdh2SZDU6J+EUQKzDW6cnQvfpIZK58G28WddCcsX8+mRYYLvb7jR6NSz9vUX4mvAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:41.361413Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.03546","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74fdbf25b382b13401ad0c285c34cdd10b3a40e74ded4da1c1dfe8060d3acce7","sha256:f14327dae93a223e108591dbabbb46de8c8306f6624956b62cce0229ce1bb0d9"],"state_sha256":"0c71233921970276ca9b1e8f65ab88c6d5ff58990675cc6087cf6dbb8bdfe57c"}