{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:NSYHAQVBXDDF6K5O2L6WHCTCMZ","short_pith_number":"pith:NSYHAQVB","canonical_record":{"source":{"id":"1109.5569","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-26T13:52:34Z","cross_cats_sorted":[],"title_canon_sha256":"9076a2725c66f0baa013479aee1dfd67cb4b846c6c463ee6d4468a625f307ce2","abstract_canon_sha256":"52fd8c54ff6ca325a8725e8d5642e0c8a8584eaa5b2dc588726dc78d9102dfda"},"schema_version":"1.0"},"canonical_sha256":"6cb07042a1b8c65f2baed2fd638a62664636f4cd4526976b5bfafbb9f988fe84","source":{"kind":"arxiv","id":"1109.5569","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.5569","created_at":"2026-05-18T04:11:51Z"},{"alias_kind":"arxiv_version","alias_value":"1109.5569v2","created_at":"2026-05-18T04:11:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5569","created_at":"2026-05-18T04:11:51Z"},{"alias_kind":"pith_short_12","alias_value":"NSYHAQVBXDDF","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NSYHAQVBXDDF6K5O","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NSYHAQVB","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:NSYHAQVBXDDF6K5O2L6WHCTCMZ","target":"record","payload":{"canonical_record":{"source":{"id":"1109.5569","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-26T13:52:34Z","cross_cats_sorted":[],"title_canon_sha256":"9076a2725c66f0baa013479aee1dfd67cb4b846c6c463ee6d4468a625f307ce2","abstract_canon_sha256":"52fd8c54ff6ca325a8725e8d5642e0c8a8584eaa5b2dc588726dc78d9102dfda"},"schema_version":"1.0"},"canonical_sha256":"6cb07042a1b8c65f2baed2fd638a62664636f4cd4526976b5bfafbb9f988fe84","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:51.099013Z","signature_b64":"GrGAppPhE7sTyYZYeNbwlgp7gCSa/WppQRALLHepuAy74Jt4usJN/ODXVxuwsQO8I2IFc5mPQhxjLcyNH4+nAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6cb07042a1b8c65f2baed2fd638a62664636f4cd4526976b5bfafbb9f988fe84","last_reissued_at":"2026-05-18T04:11:51.098075Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:51.098075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.5569","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:11:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cMdA2jfxfU8dUK86yJK4kvP7EBZwe6k9NXR1798cvCrV4gDps/mUig2Haa+2bK4DjhbflzgT4u2aMcb8EuiwCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T03:33:02.443346Z"},"content_sha256":"777d17ba559d77d805959cf05e3553034485547cb6d0716dd30603183dbd7bd9","schema_version":"1.0","event_id":"sha256:777d17ba559d77d805959cf05e3553034485547cb6d0716dd30603183dbd7bd9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:NSYHAQVBXDDF6K5O2L6WHCTCMZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The intuitive definition of Du Bois singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"S\\'andor J Kov\\'acs","submitted_at":"2011-09-26T13:52:34Z","abstract_excerpt":"It is proved that for projective varieties having Du Bois singularities is equivalent to the condition that the coherent cohomology groups of the structure sheaf coincide with the appropriate Hodge components of the singular cohomology groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5569","kind":"arxiv","version":2},"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":"2026-05-18T04:11:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k3hGN5s6gno9Nvqe5fD1hkZ6RNV6ZWeBOT3OHEv0gQPnMLH3gNwZd4LROT2AvKrPnErwn908bwnr2ZnYJMR2DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T03:33:02.444029Z"},"content_sha256":"a66ec66830e6ac3ef4bfb653b8957c54a8f0af8a742a111ec1fb4442674d867c","schema_version":"1.0","event_id":"sha256:a66ec66830e6ac3ef4bfb653b8957c54a8f0af8a742a111ec1fb4442674d867c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NSYHAQVBXDDF6K5O2L6WHCTCMZ/bundle.json","state_url":"https://pith.science/pith/NSYHAQVBXDDF6K5O2L6WHCTCMZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NSYHAQVBXDDF6K5O2L6WHCTCMZ/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":"2026-05-19T03:33:02Z","links":{"resolver":"https://pith.science/pith/NSYHAQVBXDDF6K5O2L6WHCTCMZ","bundle":"https://pith.science/pith/NSYHAQVBXDDF6K5O2L6WHCTCMZ/bundle.json","state":"https://pith.science/pith/NSYHAQVBXDDF6K5O2L6WHCTCMZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NSYHAQVBXDDF6K5O2L6WHCTCMZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NSYHAQVBXDDF6K5O2L6WHCTCMZ","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":"52fd8c54ff6ca325a8725e8d5642e0c8a8584eaa5b2dc588726dc78d9102dfda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-26T13:52:34Z","title_canon_sha256":"9076a2725c66f0baa013479aee1dfd67cb4b846c6c463ee6d4468a625f307ce2"},"schema_version":"1.0","source":{"id":"1109.5569","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.5569","created_at":"2026-05-18T04:11:51Z"},{"alias_kind":"arxiv_version","alias_value":"1109.5569v2","created_at":"2026-05-18T04:11:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5569","created_at":"2026-05-18T04:11:51Z"},{"alias_kind":"pith_short_12","alias_value":"NSYHAQVBXDDF","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NSYHAQVBXDDF6K5O","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NSYHAQVB","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:a66ec66830e6ac3ef4bfb653b8957c54a8f0af8a742a111ec1fb4442674d867c","target":"graph","created_at":"2026-05-18T04:11:51Z","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":"It is proved that for projective varieties having Du Bois singularities is equivalent to the condition that the coherent cohomology groups of the structure sheaf coincide with the appropriate Hodge components of the singular cohomology groups.","authors_text":"S\\'andor J Kov\\'acs","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-26T13:52:34Z","title":"The intuitive definition of Du Bois singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5569","kind":"arxiv","version":2},"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":"sha256:777d17ba559d77d805959cf05e3553034485547cb6d0716dd30603183dbd7bd9","target":"record","created_at":"2026-05-18T04:11:51Z","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":"52fd8c54ff6ca325a8725e8d5642e0c8a8584eaa5b2dc588726dc78d9102dfda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-26T13:52:34Z","title_canon_sha256":"9076a2725c66f0baa013479aee1dfd67cb4b846c6c463ee6d4468a625f307ce2"},"schema_version":"1.0","source":{"id":"1109.5569","kind":"arxiv","version":2}},"canonical_sha256":"6cb07042a1b8c65f2baed2fd638a62664636f4cd4526976b5bfafbb9f988fe84","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cb07042a1b8c65f2baed2fd638a62664636f4cd4526976b5bfafbb9f988fe84","first_computed_at":"2026-05-18T04:11:51.098075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:51.098075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GrGAppPhE7sTyYZYeNbwlgp7gCSa/WppQRALLHepuAy74Jt4usJN/ODXVxuwsQO8I2IFc5mPQhxjLcyNH4+nAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:51.099013Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.5569","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:777d17ba559d77d805959cf05e3553034485547cb6d0716dd30603183dbd7bd9","sha256:a66ec66830e6ac3ef4bfb653b8957c54a8f0af8a742a111ec1fb4442674d867c"],"state_sha256":"fbeaa3305b9dc610300ea60913283fd5dbdbc0fd85ca16a01a7ee993515e47f2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xgjG/nOWYKEvV0X/YFcvm3Dq7VUZvfpJd9LCmMehzSwTiRqAzfYu6n9dVTWt6C1qO6i/biWVYxN7Ot16m8voBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T03:33:02.447150Z","bundle_sha256":"0383896c4b5e415ed6f52c4898335489196664767f5a69f8f3cc5e61f58b3ee2"}}