{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:UU54RRZKVWY4NE2L3S5YDMTMTD","short_pith_number":"pith:UU54RRZK","schema_version":"1.0","canonical_sha256":"a53bc8c72aadb1c6934bdcbb81b26c98cf07347828f5e354cdaa02b0522e08e3","source":{"kind":"arxiv","id":"math/0701764","version":2},"attestation_state":"computed","paper":{"title":"Resolution of null fiber and conormal bundles on the Lagrangian Grassmannian","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"math.RT","authors_text":"Kyo Nishiyama","submitted_at":"2007-01-26T04:16:50Z","abstract_excerpt":"We study the null fiber of a moment map related to dual pairs. We construct an equivariant resolution of singularities of the null fiber, and get conormal bundles of closed $ K_C $-orbits in the Lagrangian Grassmannian as the categorical quotient. The conormal bundles thus obtained turn out to be a resolution of singularities of the closure of nilpotent $ K_C $-orbits, which is a \"quotient\" of the resolution of the null fiber."},"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":"math/0701764","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.RT","submitted_at":"2007-01-26T04:16:50Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"b428a6af403872b31022d3e5b87b9ee6524033dce02a2363df88d1e7c50ecadf","abstract_canon_sha256":"f298b00512af163fed73fc349b5914cd0fea0333c4797316526232800a8383cb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:16.552654Z","signature_b64":"HWmUu41bXgLEukUlw/AdAu6NL7ezUfrF8WuyQ/+fGHtz+4H0d+sE9fAw9F6Z9zeMH7G05HtP3p0J0A6NH/nRAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a53bc8c72aadb1c6934bdcbb81b26c98cf07347828f5e354cdaa02b0522e08e3","last_reissued_at":"2026-05-18T04:33:16.552018Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:16.552018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Resolution of null fiber and conormal bundles on the Lagrangian Grassmannian","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"math.RT","authors_text":"Kyo Nishiyama","submitted_at":"2007-01-26T04:16:50Z","abstract_excerpt":"We study the null fiber of a moment map related to dual pairs. We construct an equivariant resolution of singularities of the null fiber, and get conormal bundles of closed $ K_C $-orbits in the Lagrangian Grassmannian as the categorical quotient. The conormal bundles thus obtained turn out to be a resolution of singularities of the closure of nilpotent $ K_C $-orbits, which is a \"quotient\" of the resolution of the null fiber."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0701764","kind":"arxiv","version":2},"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":"math/0701764","created_at":"2026-05-18T04:33:16.552102+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0701764v2","created_at":"2026-05-18T04:33:16.552102+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0701764","created_at":"2026-05-18T04:33:16.552102+00:00"},{"alias_kind":"pith_short_12","alias_value":"UU54RRZKVWY4","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"UU54RRZKVWY4NE2L","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"UU54RRZK","created_at":"2026-05-18T12:25:56.245647+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/UU54RRZKVWY4NE2L3S5YDMTMTD","json":"https://pith.science/pith/UU54RRZKVWY4NE2L3S5YDMTMTD.json","graph_json":"https://pith.science/api/pith-number/UU54RRZKVWY4NE2L3S5YDMTMTD/graph.json","events_json":"https://pith.science/api/pith-number/UU54RRZKVWY4NE2L3S5YDMTMTD/events.json","paper":"https://pith.science/paper/UU54RRZK"},"agent_actions":{"view_html":"https://pith.science/pith/UU54RRZKVWY4NE2L3S5YDMTMTD","download_json":"https://pith.science/pith/UU54RRZKVWY4NE2L3S5YDMTMTD.json","view_paper":"https://pith.science/paper/UU54RRZK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0701764&json=true","fetch_graph":"https://pith.science/api/pith-number/UU54RRZKVWY4NE2L3S5YDMTMTD/graph.json","fetch_events":"https://pith.science/api/pith-number/UU54RRZKVWY4NE2L3S5YDMTMTD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UU54RRZKVWY4NE2L3S5YDMTMTD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UU54RRZKVWY4NE2L3S5YDMTMTD/action/storage_attestation","attest_author":"https://pith.science/pith/UU54RRZKVWY4NE2L3S5YDMTMTD/action/author_attestation","sign_citation":"https://pith.science/pith/UU54RRZKVWY4NE2L3S5YDMTMTD/action/citation_signature","submit_replication":"https://pith.science/pith/UU54RRZKVWY4NE2L3S5YDMTMTD/action/replication_record"}},"created_at":"2026-05-18T04:33:16.552102+00:00","updated_at":"2026-05-18T04:33:16.552102+00:00"}