{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:TVDQWA3U6WJ5BQ22QBG5JIO76G","short_pith_number":"pith:TVDQWA3U","canonical_record":{"source":{"id":"0909.0993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-09-05T03:01:48Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"7ac88045a9444d18f4fdb42071f82c8298b8ee6c7ef4b30f9102d1381fe38572","abstract_canon_sha256":"a9c8d11a45fb6f9c167947b323e86378375b8c8e2eb212cbfd7e840c29527dee"},"schema_version":"1.0"},"canonical_sha256":"9d470b0374f593d0c35a804dd4a1dff1bd019b70b372023ae76ad4e4d90f287e","source":{"kind":"arxiv","id":"0909.0993","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:TVDQWA3U6WJ5BQ22QBG5JIO76G","target":"record","payload":{"canonical_record":{"source":{"id":"0909.0993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-09-05T03:01:48Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"7ac88045a9444d18f4fdb42071f82c8298b8ee6c7ef4b30f9102d1381fe38572","abstract_canon_sha256":"a9c8d11a45fb6f9c167947b323e86378375b8c8e2eb212cbfd7e840c29527dee"},"schema_version":"1.0"},"canonical_sha256":"9d470b0374f593d0c35a804dd4a1dff1bd019b70b372023ae76ad4e4d90f287e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:45.193829Z","signature_b64":"jEOf9/o/QZ+xOwABjIvlflYchQ0tIw1OIXcei/O6e9ZJmqaRy7xzudh60eXCsrMCYiPx0zoILJ18uKjPqo9eCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d470b0374f593d0c35a804dd4a1dff1bd019b70b372023ae76ad4e4d90f287e","last_reissued_at":"2026-05-18T04:18:45.193361Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:45.193361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0909.0993","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:18:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cLotlNHTR+ck2/pAkiZGbAh0IDk59HeyTsFhpUkbjLsIx61oESjkQaGyXl2957g90ZZKqXCC/FzcZFQZrRv9DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:15:12.071619Z"},"content_sha256":"3beeafd1d00bf13a142115d28bc587f4eb8443ffd2743ef6b403f5f92cca41d1","schema_version":"1.0","event_id":"sha256:3beeafd1d00bf13a142115d28bc587f4eb8443ffd2743ef6b403f5f92cca41d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:TVDQWA3U6WJ5BQ22QBG5JIO76G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hodge theory meets the minimal model program: a survey of log canonical and Du Bois singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Karl Schwede, S\\'andor J Kov\\'acs","submitted_at":"2009-09-05T03:01:48Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.0993","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:18:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kjVebxvsIhc3UTQLY468Ps1u3jjQFii+GDhWc0yzzE8oPGuuk/grSVmNiyjevYFGuBF0g7nSV+xl+gU8McLYCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:15:12.071969Z"},"content_sha256":"f261303691e9c63b2d8a32c5b1e5bbdb564f31c64540c86fc2abcf19dd95ce24","schema_version":"1.0","event_id":"sha256:f261303691e9c63b2d8a32c5b1e5bbdb564f31c64540c86fc2abcf19dd95ce24"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TVDQWA3U6WJ5BQ22QBG5JIO76G/bundle.json","state_url":"https://pith.science/pith/TVDQWA3U6WJ5BQ22QBG5JIO76G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TVDQWA3U6WJ5BQ22QBG5JIO76G/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T12:15:12Z","links":{"resolver":"https://pith.science/pith/TVDQWA3U6WJ5BQ22QBG5JIO76G","bundle":"https://pith.science/pith/TVDQWA3U6WJ5BQ22QBG5JIO76G/bundle.json","state":"https://pith.science/pith/TVDQWA3U6WJ5BQ22QBG5JIO76G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TVDQWA3U6WJ5BQ22QBG5JIO76G/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"haRtX+CkVTcOyz6RI0VaBYIe5YkvNtoZzoYC9HgLo2O0+uXuDaggAyJ5dQL8X0CbD7gn5G/fDEarcROtqgrmAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T12:15:12.074077Z","bundle_sha256":"5aaab94a5b6828ae1cd50e4e751e80dd476365072a14da6e56047f74d47f4dc4"}}