{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:NCKZDVMEWHKDYFLGO5OIGFY7HS","short_pith_number":"pith:NCKZDVME","schema_version":"1.0","canonical_sha256":"689591d584b1d43c1566775c83171f3c9e5cc10b5bea323e0b28a2cf925916ba","source":{"kind":"arxiv","id":"1403.3112","version":1},"attestation_state":"computed","paper":{"title":"General Linear and Symplectic Nilpotent Orbit Varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Samuel Reid","submitted_at":"2014-03-12T21:02:38Z","abstract_excerpt":"The condition of nilpotency is studied in the general linear Lie algebra $\\mathfrak{gl}_{n}(\\mathbb{K})$ and the symplectic Lie algebra $\\mathfrak{sp}_{2m}(\\mathbb{K})$ over an algebraically closed field of characteristic 0. In particular, the conjugacy class of nilpotent matrices is described through nilpotent orbit varieties $\\mathcal{O}_{\\lambda}$ and an algorithm is provided for computing the closure $\\overline{\\mathcal{O}_{\\lambda}} \\cong \\text{Spec}\\left(\\mathbb{K}[X]\\big/J_{\\lambda}\\right).$ We provide new generators for the ideal $J_{\\lambda}$ defining the affine variety $\\overline{\\ma"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1403.3112","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-03-12T21:02:38Z","cross_cats_sorted":[],"title_canon_sha256":"cc21ae59c10170a90f3a2842b904586b20767686a7193f9cc9280164dfe2c81f","abstract_canon_sha256":"096d3ef8df58cd7fc45d47132efd6846197d0c3f28681730d5f93d7f9d82d95f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:31.877622Z","signature_b64":"sFOpQCplsrMkuU//K1UYTdUmPsa6AimIDVdSfbhIpU+D+tXDRxVqYsB6Dq0pnRTDpqACsHhkDGwaJ7NuKk0kCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"689591d584b1d43c1566775c83171f3c9e5cc10b5bea323e0b28a2cf925916ba","last_reissued_at":"2026-05-18T02:56:31.876886Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:31.876886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"General Linear and Symplectic Nilpotent Orbit Varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Samuel Reid","submitted_at":"2014-03-12T21:02:38Z","abstract_excerpt":"The condition of nilpotency is studied in the general linear Lie algebra $\\mathfrak{gl}_{n}(\\mathbb{K})$ and the symplectic Lie algebra $\\mathfrak{sp}_{2m}(\\mathbb{K})$ over an algebraically closed field of characteristic 0. In particular, the conjugacy class of nilpotent matrices is described through nilpotent orbit varieties $\\mathcal{O}_{\\lambda}$ and an algorithm is provided for computing the closure $\\overline{\\mathcal{O}_{\\lambda}} \\cong \\text{Spec}\\left(\\mathbb{K}[X]\\big/J_{\\lambda}\\right).$ We provide new generators for the ideal $J_{\\lambda}$ defining the affine variety $\\overline{\\ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3112","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1403.3112","created_at":"2026-05-18T02:56:31.877006+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.3112v1","created_at":"2026-05-18T02:56:31.877006+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3112","created_at":"2026-05-18T02:56:31.877006+00:00"},{"alias_kind":"pith_short_12","alias_value":"NCKZDVMEWHKD","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"NCKZDVMEWHKDYFLG","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"NCKZDVME","created_at":"2026-05-18T12:28:41.024544+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NCKZDVMEWHKDYFLGO5OIGFY7HS","json":"https://pith.science/pith/NCKZDVMEWHKDYFLGO5OIGFY7HS.json","graph_json":"https://pith.science/api/pith-number/NCKZDVMEWHKDYFLGO5OIGFY7HS/graph.json","events_json":"https://pith.science/api/pith-number/NCKZDVMEWHKDYFLGO5OIGFY7HS/events.json","paper":"https://pith.science/paper/NCKZDVME"},"agent_actions":{"view_html":"https://pith.science/pith/NCKZDVMEWHKDYFLGO5OIGFY7HS","download_json":"https://pith.science/pith/NCKZDVMEWHKDYFLGO5OIGFY7HS.json","view_paper":"https://pith.science/paper/NCKZDVME","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.3112&json=true","fetch_graph":"https://pith.science/api/pith-number/NCKZDVMEWHKDYFLGO5OIGFY7HS/graph.json","fetch_events":"https://pith.science/api/pith-number/NCKZDVMEWHKDYFLGO5OIGFY7HS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NCKZDVMEWHKDYFLGO5OIGFY7HS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NCKZDVMEWHKDYFLGO5OIGFY7HS/action/storage_attestation","attest_author":"https://pith.science/pith/NCKZDVMEWHKDYFLGO5OIGFY7HS/action/author_attestation","sign_citation":"https://pith.science/pith/NCKZDVMEWHKDYFLGO5OIGFY7HS/action/citation_signature","submit_replication":"https://pith.science/pith/NCKZDVMEWHKDYFLGO5OIGFY7HS/action/replication_record"}},"created_at":"2026-05-18T02:56:31.877006+00:00","updated_at":"2026-05-18T02:56:31.877006+00:00"}