{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:TB3OVBDGZTLT5RGCQERAZCJPOP","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":"d71a3e6c09aa44f6abc70804db509ff71fb31bc8611e9ec37759734c2a6889bf","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"alg-geom","submitted_at":"1997-02-14T18:22:28Z","title_canon_sha256":"22d03acd4f401100aca3dad34f5df706608b4e269445d4dd793063d040bc479d"},"schema_version":"1.0","source":{"id":"alg-geom/9702010","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"alg-geom/9702010","created_at":"2026-05-18T01:07:47Z"},{"alias_kind":"arxiv_version","alias_value":"alg-geom/9702010v1","created_at":"2026-05-18T01:07:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.alg-geom/9702010","created_at":"2026-05-18T01:07:47Z"},{"alias_kind":"pith_short_12","alias_value":"TB3OVBDGZTLT","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"TB3OVBDGZTLT5RGC","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"TB3OVBDG","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:7847c1eff0c8dbf8e205b315c84e9ca340966e00d406c242a79721504dc94872","target":"graph","created_at":"2026-05-18T01:07:47Z","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 $C$ be a smooth projective curve of genus 0. Let $\\CB$ be the variety of complete flags in an $n$-dimensional vector space $V$. Given an $(n-1)$-tuple $\\alpha\\in\\BN[I]$ of positive integers one can consider the space $\\CQ_\\alpha$ of algebraic maps of degree $\\alpha$ from $C$ to $\\CB$. This space admits some remarkable compactifications $\\CQ^D_\\alpha$ (Quasimaps), $\\CQ^L_\\alpha$ (Quasiflags), $\\CQ^K_\\alpha$ (Stable Maps) of $\\CQ_\\alpha$ constructed by Drinfeld, Laumon and Kontsevich respectively. It has been proved that the natural map $\\pi: \\CQ^L_\\alpha\\to \\CQ^D_\\alpha$ is a small resoluti","authors_text":"Alexander Kuznetsov (Independent University of Moscow), Michael Finkelberg","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"alg-geom","submitted_at":"1997-02-14T18:22:28Z","title":"Global Intersection Cohomology of Quasimaps' Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9702010","kind":"arxiv","version":1},"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:f656e94d59f634a7cbccba333a61f055b0bfe149543126f2ba6b3d0e397c8fc2","target":"record","created_at":"2026-05-18T01:07:47Z","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":"d71a3e6c09aa44f6abc70804db509ff71fb31bc8611e9ec37759734c2a6889bf","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"alg-geom","submitted_at":"1997-02-14T18:22:28Z","title_canon_sha256":"22d03acd4f401100aca3dad34f5df706608b4e269445d4dd793063d040bc479d"},"schema_version":"1.0","source":{"id":"alg-geom/9702010","kind":"arxiv","version":1}},"canonical_sha256":"9876ea8466ccd73ec4c281220c892f73dd6641143e9515a7eeb5fd61c107b84f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9876ea8466ccd73ec4c281220c892f73dd6641143e9515a7eeb5fd61c107b84f","first_computed_at":"2026-05-18T01:07:47.104277Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:47.104277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eClv6u2p37IfJGhJh41nuL0VruTzr/NHU6QVjrwZcssjbfoTqy+WBudd258qFB2VC53vrsQzKCbus5WyzytwCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:47.104857Z","signed_message":"canonical_sha256_bytes"},"source_id":"alg-geom/9702010","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f656e94d59f634a7cbccba333a61f055b0bfe149543126f2ba6b3d0e397c8fc2","sha256:7847c1eff0c8dbf8e205b315c84e9ca340966e00d406c242a79721504dc94872"],"state_sha256":"b20cd93877a9fa8cad14e60dec7e32cb8f545b871fdfea02e9760e0a36ad865f"}