{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QYTYNX5OUIBXYO5QH4BLR32ARB","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":"3701b0123e4de9259a6041d6b3e1e6ec9f9cbbceaf0633707fdcf05133ac53a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-02-15T20:41:05Z","title_canon_sha256":"ff2b27d2c99311983ca0ff3055ca93f35c05eb04f5eb090e9f5ec99858f438f9"},"schema_version":"1.0","source":{"id":"1302.3873","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3873","created_at":"2026-05-18T03:27:53Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3873v3","created_at":"2026-05-18T03:27:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3873","created_at":"2026-05-18T03:27:53Z"},{"alias_kind":"pith_short_12","alias_value":"QYTYNX5OUIBX","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QYTYNX5OUIBXYO5Q","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QYTYNX5O","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:5eda8f5edefbe0eb2204738f3de10f03ad95307123041121821a0eb9d326b575","target":"graph","created_at":"2026-05-18T03:27:53Z","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 present two methods for computing the rational singular locus of the closure of a nilpotent orbit in a complex semisimple Lie algebra and give a number of interesting examples.","authors_text":"William M. McGovern","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-02-15T20:41:05Z","title":"Rational singular loci of nilpotent varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3873","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:d32271f990531f849545bd4840be4c03564e2821e64ee2120f480947725efeed","target":"record","created_at":"2026-05-18T03:27:53Z","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":"3701b0123e4de9259a6041d6b3e1e6ec9f9cbbceaf0633707fdcf05133ac53a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-02-15T20:41:05Z","title_canon_sha256":"ff2b27d2c99311983ca0ff3055ca93f35c05eb04f5eb090e9f5ec99858f438f9"},"schema_version":"1.0","source":{"id":"1302.3873","kind":"arxiv","version":3}},"canonical_sha256":"862786dfaea2037c3bb03f02b8ef40886a1d6d61ddeb21d082822f18123a6bfa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"862786dfaea2037c3bb03f02b8ef40886a1d6d61ddeb21d082822f18123a6bfa","first_computed_at":"2026-05-18T03:27:53.982296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:53.982296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d8CQr/R/ucwik7HO4mmmx5UZqH2HxoM5KRyhzvHkE8slul0dlWbqKDexWV0o1wf07Gsz7QQ8oABcLEcN41asCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:53.982987Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.3873","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d32271f990531f849545bd4840be4c03564e2821e64ee2120f480947725efeed","sha256:5eda8f5edefbe0eb2204738f3de10f03ad95307123041121821a0eb9d326b575"],"state_sha256":"2c3c3d01f02a5dda5e32c32a15b3a419f69f765df05b587f103a52e929d77d7d"}