{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RHMRE32XUBK5K34JBJTVLT2YUR","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":"61aaf1ed004de40368d572910bd72a64ef99b2bbe5328596a6747d68fa2e72de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-29T08:54:42Z","title_canon_sha256":"f3636c7a21ceda6c3006424df0640069f1e40b35a0a597e1894115d3c2776bb5"},"schema_version":"1.0","source":{"id":"1307.7503","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7503","created_at":"2026-05-18T03:15:42Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7503v2","created_at":"2026-05-18T03:15:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7503","created_at":"2026-05-18T03:15:42Z"},{"alias_kind":"pith_short_12","alias_value":"RHMRE32XUBK5","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RHMRE32XUBK5K34J","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RHMRE32X","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:f856a8ae61090a6a8d2d2e757bba9fd30b479dd33fc612d3c08d48c425be557e","target":"graph","created_at":"2026-05-18T03:15:42Z","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":"The notion of DB index, a measure of how far a singularity of a pair is from being Du Bois, is introduced and used to generalize vanishing theorems of Steenbrink and others with simpler and more natural proofs than the originals.","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":"2013-07-29T08:54:42Z","title":"Steenbrink vanishing extended"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7503","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":"sha256:0994a0998a2137750d1d500250d3c27bd4602ecffef0d98443ae64f6d29c6f0f","target":"record","created_at":"2026-05-18T03:15:42Z","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":"61aaf1ed004de40368d572910bd72a64ef99b2bbe5328596a6747d68fa2e72de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-29T08:54:42Z","title_canon_sha256":"f3636c7a21ceda6c3006424df0640069f1e40b35a0a597e1894115d3c2776bb5"},"schema_version":"1.0","source":{"id":"1307.7503","kind":"arxiv","version":2}},"canonical_sha256":"89d9126f57a055d56f890a6755cf58a458f0d0400a0d057f4ced3d6fa9317fd2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89d9126f57a055d56f890a6755cf58a458f0d0400a0d057f4ced3d6fa9317fd2","first_computed_at":"2026-05-18T03:15:42.909232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:42.909232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nWe8uMiUmDHvcPLOQ9viNBQKexF17UJYrSSacfe2U4WyKODfBUVkeqLoi/9Wn2zaC+luVsTHT6st3HBoILMbCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:42.909934Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.7503","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0994a0998a2137750d1d500250d3c27bd4602ecffef0d98443ae64f6d29c6f0f","sha256:f856a8ae61090a6a8d2d2e757bba9fd30b479dd33fc612d3c08d48c425be557e"],"state_sha256":"241ca093898ab1420a952fdf9bb8e81fddecb3e9113ce5a240696360ff3fe534"}