{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EA4T3EDKMECVIWSWWBUHTSAGFS","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":"9e28fbe49cbb15b832b4f5f14e9dd2f821da449f88deb42989ac99162598df22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-06T12:23:17Z","title_canon_sha256":"b008676b522ac16fcd34f1bb2a766cdc37bc9f18ba30a833aefa3147f1f05c89"},"schema_version":"1.0","source":{"id":"1807.02375","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.02375","created_at":"2026-05-18T00:03:36Z"},{"alias_kind":"arxiv_version","alias_value":"1807.02375v2","created_at":"2026-05-18T00:03:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02375","created_at":"2026-05-18T00:03:36Z"},{"alias_kind":"pith_short_12","alias_value":"EA4T3EDKMECV","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EA4T3EDKMECVIWSW","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EA4T3EDK","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:05bd4226933ba82cff7b3fac1fdd5869ac7a7d25e1860ff4fddeaf3cf59d0c32","target":"graph","created_at":"2026-05-18T00:03:36Z","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"},"paper":{"abstract_excerpt":"It is well known that numerical quantities arising from the theory of D-modules are related to invariants of singularities in birational geometry. This paper surveys a deeper relationship between the two areas, where the numerical connections are enhanced to sheaf theoretic constructions facilitated by the theory of mixed Hodge modules. The emphasis is placed on the recent theory of Hodge ideals.","authors_text":"Mihnea Popa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-06T12:23:17Z","title":"D-modules in birational geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02375","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:b2a890218532c415473fc788059db5838dc1f5f690a8e9d1841d0b7d851aeeee","target":"record","created_at":"2026-05-18T00:03:36Z","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":"9e28fbe49cbb15b832b4f5f14e9dd2f821da449f88deb42989ac99162598df22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-06T12:23:17Z","title_canon_sha256":"b008676b522ac16fcd34f1bb2a766cdc37bc9f18ba30a833aefa3147f1f05c89"},"schema_version":"1.0","source":{"id":"1807.02375","kind":"arxiv","version":2}},"canonical_sha256":"20393d906a6105545a56b06879c8062cbf5131c69994edcba6c7acbd1c088d12","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20393d906a6105545a56b06879c8062cbf5131c69994edcba6c7acbd1c088d12","first_computed_at":"2026-05-18T00:03:36.733148Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:36.733148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DBQA7/v4OraOcaa4TpY+SkFQRlHbUvxkKKej4rdK5MTBV1teWOw8dLIJjeN00PDZnrNz9dKIWwdM2PP2IHd0Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:36.733754Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.02375","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2a890218532c415473fc788059db5838dc1f5f690a8e9d1841d0b7d851aeeee","sha256:05bd4226933ba82cff7b3fac1fdd5869ac7a7d25e1860ff4fddeaf3cf59d0c32"],"state_sha256":"9d6a09c16d21c9fc8c639077f727bd78750cae2b650b712170c7cfaf2f7f5712"}