{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:TCE5SYZ3MYNUPPRBDLCEAEAAH3","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":"7aa26c0952f838dd7b635b17fd264b6243288baf6443ba0e4a8636228381e97e","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-05-17T19:24:50Z","title_canon_sha256":"448f279e0bdeb98f5c645c9ab92789697afea5e565083e60606b9a582e88f83c"},"schema_version":"1.0","source":{"id":"1005.3005","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.3005","created_at":"2026-05-18T03:21:08Z"},{"alias_kind":"arxiv_version","alias_value":"1005.3005v1","created_at":"2026-05-18T03:21:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.3005","created_at":"2026-05-18T03:21:08Z"},{"alias_kind":"pith_short_12","alias_value":"TCE5SYZ3MYNU","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"TCE5SYZ3MYNUPPRB","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"TCE5SYZ3","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:bbc24cea033470fc198d4c009a59b82460663f06d71880d6e6d29c111a81b8d5","target":"graph","created_at":"2026-05-18T03:21:08Z","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 prove the following: (1) if $X$ is ordinary, the Fulton-MacPherson configuration space $X[n]$ is ordinary for all $n$; (2) the moduli of stable $n$-pointed curves of genus zero is ordinary. (3) More generally we show that a wonderful compactification $X_\\sg$ is ordinary if and only if $(X,\\sg)$ is an ordinary building set. This implies the ordinarity of many other well-known configuration spaces (under suitable assumptions).","authors_text":"Kirti Joshi","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-05-17T19:24:50Z","title":"Ordinarity of configuration spaces and of wonderful compactifications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.3005","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":"sha256:73e716c1115bfac6864f43373f54ca5dd35438674824417a49123b844977a33c","target":"record","created_at":"2026-05-18T03:21:08Z","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":"7aa26c0952f838dd7b635b17fd264b6243288baf6443ba0e4a8636228381e97e","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-05-17T19:24:50Z","title_canon_sha256":"448f279e0bdeb98f5c645c9ab92789697afea5e565083e60606b9a582e88f83c"},"schema_version":"1.0","source":{"id":"1005.3005","kind":"arxiv","version":1}},"canonical_sha256":"9889d9633b661b47be211ac44010003ec1ae36c4dae13cd4d0f5e182fd0f2149","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9889d9633b661b47be211ac44010003ec1ae36c4dae13cd4d0f5e182fd0f2149","first_computed_at":"2026-05-18T03:21:08.821359Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:08.821359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hVXKONep0Wet5ALbWWRQjXQaPPWY1z+jl5q7H+YKpAf2MG2G33ktm5PmpFFNylCFgoMm2nhnOOITFs9Z4R3ICQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:08.822083Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.3005","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73e716c1115bfac6864f43373f54ca5dd35438674824417a49123b844977a33c","sha256:bbc24cea033470fc198d4c009a59b82460663f06d71880d6e6d29c111a81b8d5"],"state_sha256":"8024bcef60d3ea270ec0a685771f8388607211b1f2bc7b513e55b41b746a4625"}