{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CWLMSV6VM3UAPOPOB2NREGDFAY","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":"5ea276d248db63bd877547eac914e03d46cd0bddc18a24850f27a74a2b263878","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-02-20T04:48:29Z","title_canon_sha256":"f6cc1353aaa1865d614149ba46891c4e58583aa811b1c312f2777d306d06b2f9"},"schema_version":"1.0","source":{"id":"1502.05770","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05770","created_at":"2026-05-18T01:04:57Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05770v3","created_at":"2026-05-18T01:04:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05770","created_at":"2026-05-18T01:04:57Z"},{"alias_kind":"pith_short_12","alias_value":"CWLMSV6VM3UA","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CWLMSV6VM3UAPOPO","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CWLMSV6V","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:b53558e33183ba2c058bda3253981686d6f84f37f937c725ea2fc7705ad3497c","target":"graph","created_at":"2026-05-18T01:04:57Z","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":"According to a well-known theorem of Brieskorn and Slodowy, the intersection of the nilpotent cone of a simple Lie algebra with a transverse slice to the subregular nilpotent orbit is a simple surface singularity. At the opposite extremity of the nilpotent cone, the closure of the minimal nilpotent orbit is also an isolated symplectic singularity, called a minimal singularity. For classical Lie algebras, Kraft and Procesi showed that these two types of singularities suffice to describe all generic singularities of nilpotent orbit closures: specifically, any such singularity is either a simple ","authors_text":"Baohua Fu, Daniel Juteau, Eric Sommers, Paul Levy","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-02-20T04:48:29Z","title":"Generic singularities of nilpotent orbit closures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05770","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:d0a2c98e2efe283929979ce090da8d3ccdca1853a254773c8acbf3981fb445ac","target":"record","created_at":"2026-05-18T01:04:57Z","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":"5ea276d248db63bd877547eac914e03d46cd0bddc18a24850f27a74a2b263878","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-02-20T04:48:29Z","title_canon_sha256":"f6cc1353aaa1865d614149ba46891c4e58583aa811b1c312f2777d306d06b2f9"},"schema_version":"1.0","source":{"id":"1502.05770","kind":"arxiv","version":3}},"canonical_sha256":"1596c957d566e807b9ee0e9b121865060f1cfcdda5bdbaaf15c86f731f26b43f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1596c957d566e807b9ee0e9b121865060f1cfcdda5bdbaaf15c86f731f26b43f","first_computed_at":"2026-05-18T01:04:57.935536Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:57.935536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8zBWip8GfJlxzRX9SvSSmED3R9mt972QYAxTuvP9/QtZ1imTsE63ZXrVQixhGUlo4WxbtchCe91otgPqxBGBAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:57.936249Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.05770","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0a2c98e2efe283929979ce090da8d3ccdca1853a254773c8acbf3981fb445ac","sha256:b53558e33183ba2c058bda3253981686d6f84f37f937c725ea2fc7705ad3497c"],"state_sha256":"a52de934421d00508ae0922124c276e73f0b0c612e160758eddd4718351a1350"}