{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:S25I3YYJ7DRY35J32KYDZA3VTM","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":"68d4bd7b8c826876d9f78c723294dbd1640f5f6721c9c5dfe31ab440af9af223","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.AC","submitted_at":"2005-07-15T04:51:46Z","title_canon_sha256":"18368839146d04f11120a6dc90ebaa0a4e3b526826cc8286d9af839391d804a5"},"schema_version":"1.0","source":{"id":"math/0507304","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0507304","created_at":"2026-05-18T03:12:09Z"},{"alias_kind":"arxiv_version","alias_value":"math/0507304v1","created_at":"2026-05-18T03:12:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0507304","created_at":"2026-05-18T03:12:09Z"},{"alias_kind":"pith_short_12","alias_value":"S25I3YYJ7DRY","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"S25I3YYJ7DRY35J3","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"S25I3YYJ","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:e8c86cf2ca9bb59a4b992f93d5fe308b9ede6ebaf02a54e73dd32d178166ee45","target":"graph","created_at":"2026-05-18T03:12:09Z","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":"We prove a generalization of the Hochster-Roberts-Boutot-Kawamata Theorem conjectured by Aschenbrenner and the author: let $R\\to S$ be a pure homomorphism of equicharacteristic zero Noetherian local rings. If $S$ is regular, then $R$ is pseudo-rational, and if $R$ is moreover $\\mathbb Q$-Gorenstein, then it pseudo-log-terminal.","authors_text":"Hans Schoutens","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"math.AC","submitted_at":"2005-07-15T04:51:46Z","title":"Pure subrings of regular rings are pseudo-rational"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0507304","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:b1752108ad919961661888b4ae17cd8167832b4479457d4fc87a80d4a7e0f7fc","target":"record","created_at":"2026-05-18T03:12:09Z","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":"68d4bd7b8c826876d9f78c723294dbd1640f5f6721c9c5dfe31ab440af9af223","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.AC","submitted_at":"2005-07-15T04:51:46Z","title_canon_sha256":"18368839146d04f11120a6dc90ebaa0a4e3b526826cc8286d9af839391d804a5"},"schema_version":"1.0","source":{"id":"math/0507304","kind":"arxiv","version":1}},"canonical_sha256":"96ba8de309f8e38df53bd2b03c83759b0eff2d71c8ac193fdb8ad8f2fed38baa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"96ba8de309f8e38df53bd2b03c83759b0eff2d71c8ac193fdb8ad8f2fed38baa","first_computed_at":"2026-05-18T03:12:09.460431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:12:09.460431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a68rjpWQ7JgutH42WpdjJI4mqFOz6zlP15QYJWJ9x25/Vpb2bmIUYEM785/Wlup7YFmAwcucLk+C5UMsRipMDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:12:09.461253Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0507304","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1752108ad919961661888b4ae17cd8167832b4479457d4fc87a80d4a7e0f7fc","sha256:e8c86cf2ca9bb59a4b992f93d5fe308b9ede6ebaf02a54e73dd32d178166ee45"],"state_sha256":"834a06ede609988154d6b7f574b598d83dbe4fd7e4d03d7f20865b72f7a0b1e5"}