{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:VAKM5WE6C55UZVD2QFTMR3IFZW","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":"61af5850819400bdeea8d410150611734323d1616fa956db572edd094860d307","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"alg-geom","submitted_at":"1992-10-07T16:36:17Z","title_canon_sha256":"fc9387f1a52555b85b5acc5fb93055895d28d4d267bf66df74687eef191d460a"},"schema_version":"1.0","source":{"id":"alg-geom/9210002","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"alg-geom/9210002","created_at":"2026-07-04T15:08:00Z"},{"alias_kind":"arxiv_version","alias_value":"alg-geom/9210002v1","created_at":"2026-07-04T15:08:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.alg-geom/9210002","created_at":"2026-07-04T15:08:00Z"},{"alias_kind":"pith_short_12","alias_value":"VAKM5WE6C55U","created_at":"2026-07-04T15:08:00Z"},{"alias_kind":"pith_short_16","alias_value":"VAKM5WE6C55UZVD2","created_at":"2026-07-04T15:08:00Z"},{"alias_kind":"pith_short_8","alias_value":"VAKM5WE6","created_at":"2026-07-04T15:08:00Z"}],"graph_snapshots":[{"event_id":"sha256:ae73440637ba38ca06ac55a892ae943ee6f925bce6a99460ca0e3b8ca420195c","target":"graph","created_at":"2026-07-04T15:08:00Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/alg-geom/9210002/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a certain compactification of the space of projective configurations i.e. orbits of the group $PGL(k)$ on the space of $n$ - tuples of points in $P^{k-1}$ in general position. This compactification differs considerably from Mumford's geometric invariant theory quotient. It is obtained by considering limit position (in the Chow variety) of the closures of generic orbits. The same result will be obtained if we study orbits of the maximal torus on the Grassmannian $G(k,n)$. We study in detail the closures of the torus orbits and their \"visible contours\" which are Veronese varieties i","authors_text":"M.Kapranov","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"alg-geom","submitted_at":"1992-10-07T16:36:17Z","title":"Chow quotients of Grassmannian I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9210002","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":"sha256:99f7c29b2186c1fd51edcf3262f1e78fbf2a6677bf245aaeaa4cc18954a9d236","target":"record","created_at":"2026-07-04T15:08:00Z","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":"61af5850819400bdeea8d410150611734323d1616fa956db572edd094860d307","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"alg-geom","submitted_at":"1992-10-07T16:36:17Z","title_canon_sha256":"fc9387f1a52555b85b5acc5fb93055895d28d4d267bf66df74687eef191d460a"},"schema_version":"1.0","source":{"id":"alg-geom/9210002","kind":"arxiv","version":1}},"canonical_sha256":"a814ced89e177b4cd47a8166c8ed05cdb2852f9cff435cab6f61a7aec52753e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a814ced89e177b4cd47a8166c8ed05cdb2852f9cff435cab6f61a7aec52753e4","first_computed_at":"2026-07-04T15:08:00.851837Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:08:00.851837Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F2kMfJ8Q/C6HOef/6GYeTTOMhV7VJIcEtI7HneYPPuG3f66+fIC5MCc+5qVuBR433FI5oMmA6TsoL/OTsW1OCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:08:00.852194Z","signed_message":"canonical_sha256_bytes"},"source_id":"alg-geom/9210002","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99f7c29b2186c1fd51edcf3262f1e78fbf2a6677bf245aaeaa4cc18954a9d236","sha256:ae73440637ba38ca06ac55a892ae943ee6f925bce6a99460ca0e3b8ca420195c"],"state_sha256":"f64f53c8ffc58996b4fef94a465c34f2e5ee9afa8bcf0cbfbdb03e68e7ea1abd"}