{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:E22R732ECEDLR7JM237CBTZYNJ","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":"7af49d7cdf9d9361d47486e6dae0bde597f30d8809f9366f7c895e987e98d6b1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-09-26T16:26:50Z","title_canon_sha256":"f81e542ee7db7d0b761b5c6945b23191a93827e6e11f75f6740ac5a929885939"},"schema_version":"1.0","source":{"id":"2409.18019","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.18019","created_at":"2026-05-27T14:06:36Z"},{"alias_kind":"arxiv_version","alias_value":"2409.18019v2","created_at":"2026-05-27T14:06:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.18019","created_at":"2026-05-27T14:06:36Z"},{"alias_kind":"pith_short_12","alias_value":"E22R732ECEDL","created_at":"2026-05-27T14:06:36Z"},{"alias_kind":"pith_short_16","alias_value":"E22R732ECEDLR7JM","created_at":"2026-05-27T14:06:36Z"},{"alias_kind":"pith_short_8","alias_value":"E22R732E","created_at":"2026-05-27T14:06:36Z"}],"graph_snapshots":[{"event_id":"sha256:f1fc6a7ab57e14e8aa8628cdcff904c1c21735bc7e577d54b83e2f382bbbecd3","target":"graph","created_at":"2026-05-27T14:06:36Z","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/2409.18019/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove an injectivity theorem for the cohomology of the Du Bois complexes of varieties with isolated singularities. We use this to deduce vanishing statements for the cohomologies of higher Du Bois complexes of such varieties. Besides some extensions and conjectures in the non-isolated case, we also provide analogues for intersection complexes.","authors_text":"Anh Duc Vo, Mihnea Popa, Wanchun Shen","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-09-26T16:26:50Z","title":"Injectivity and Vanishing for the Du Bois Complexes of Isolated Singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.18019","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":"sha256:69562c6f4d2d14cb3d606ef2c80620d8b8f645f462dd2c0e674dc2d54ee8cfd3","target":"record","created_at":"2026-05-27T14:06:36Z","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":"7af49d7cdf9d9361d47486e6dae0bde597f30d8809f9366f7c895e987e98d6b1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-09-26T16:26:50Z","title_canon_sha256":"f81e542ee7db7d0b761b5c6945b23191a93827e6e11f75f6740ac5a929885939"},"schema_version":"1.0","source":{"id":"2409.18019","kind":"arxiv","version":2}},"canonical_sha256":"26b51fef441106b8fd2cd6fe20cf386a7e97e61c7208bd5cae64def3cbab7f66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26b51fef441106b8fd2cd6fe20cf386a7e97e61c7208bd5cae64def3cbab7f66","first_computed_at":"2026-05-27T14:06:36.041239Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-27T14:06:36.041239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ayv7pt7RCnt0uWzFgE2TXqW6S/dYHvhnA4pmpKV9GsFoaxoj6arTCa8/brZ6GFMoy3VV2XcRY9t0afiGjA9ZBw==","signature_status":"signed_v1","signed_at":"2026-05-27T14:06:36.042184Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.18019","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69562c6f4d2d14cb3d606ef2c80620d8b8f645f462dd2c0e674dc2d54ee8cfd3","sha256:f1fc6a7ab57e14e8aa8628cdcff904c1c21735bc7e577d54b83e2f382bbbecd3"],"state_sha256":"14c5803d013ddf97ccaf9b96244006451cc54b5de4182ffe0ba0efee2bcc9b54"}