{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:TVDQWA3U6WJ5BQ22QBG5JIO76G","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":"a9c8d11a45fb6f9c167947b323e86378375b8c8e2eb212cbfd7e840c29527dee","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-09-05T03:01:48Z","title_canon_sha256":"7ac88045a9444d18f4fdb42071f82c8298b8ee6c7ef4b30f9102d1381fe38572"},"schema_version":"1.0","source":{"id":"0909.0993","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.0993","created_at":"2026-05-18T04:18:45Z"},{"alias_kind":"arxiv_version","alias_value":"0909.0993v1","created_at":"2026-05-18T04:18:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.0993","created_at":"2026-05-18T04:18:45Z"},{"alias_kind":"pith_short_12","alias_value":"TVDQWA3U6WJ5","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"TVDQWA3U6WJ5BQ22","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"TVDQWA3U","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:f261303691e9c63b2d8a32c5b1e5bbdb564f31c64540c86fc2abcf19dd95ce24","target":"graph","created_at":"2026-05-18T04:18:45Z","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":"This is a survey of some recent developments in the study of singularities related to the classification theory of algebraic varieties. In particular, the definition and basic properties of Du Bois singularities and their connections to the more commonly known singularities of the minimal model program are reviewed and discussed.","authors_text":"Karl Schwede, S\\'andor J Kov\\'acs","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-09-05T03:01:48Z","title":"Hodge theory meets the minimal model program: a survey of log canonical and Du Bois singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.0993","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":"sha256:3beeafd1d00bf13a142115d28bc587f4eb8443ffd2743ef6b403f5f92cca41d1","target":"record","created_at":"2026-05-18T04:18:45Z","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":"a9c8d11a45fb6f9c167947b323e86378375b8c8e2eb212cbfd7e840c29527dee","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-09-05T03:01:48Z","title_canon_sha256":"7ac88045a9444d18f4fdb42071f82c8298b8ee6c7ef4b30f9102d1381fe38572"},"schema_version":"1.0","source":{"id":"0909.0993","kind":"arxiv","version":1}},"canonical_sha256":"9d470b0374f593d0c35a804dd4a1dff1bd019b70b372023ae76ad4e4d90f287e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d470b0374f593d0c35a804dd4a1dff1bd019b70b372023ae76ad4e4d90f287e","first_computed_at":"2026-05-18T04:18:45.193361Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:45.193361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jEOf9/o/QZ+xOwABjIvlflYchQ0tIw1OIXcei/O6e9ZJmqaRy7xzudh60eXCsrMCYiPx0zoILJ18uKjPqo9eCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:45.193829Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.0993","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3beeafd1d00bf13a142115d28bc587f4eb8443ffd2743ef6b403f5f92cca41d1","sha256:f261303691e9c63b2d8a32c5b1e5bbdb564f31c64540c86fc2abcf19dd95ce24"],"state_sha256":"8a131a906c37e68d0ad5e0c1e7cd40ff8a2b265db05da4fda5eac6d087823fe5"}