{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:SIR7446IXZKLRVF6BMZ2IR3AXB","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":"b9437fc703d5d9a965680f23ac483be06675610e1d392f4602ed15cb7f4a9840","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-15T03:58:38Z","title_canon_sha256":"8109c8e72fb483ac12f6b705260f1379f3b3ff97f9d18bb1832035b5a78ce7cb"},"schema_version":"1.0","source":{"id":"1907.06326","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.06326","created_at":"2026-05-17T23:40:37Z"},{"alias_kind":"arxiv_version","alias_value":"1907.06326v1","created_at":"2026-05-17T23:40:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.06326","created_at":"2026-05-17T23:40:37Z"},{"alias_kind":"pith_short_12","alias_value":"SIR7446IXZKL","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"SIR7446IXZKLRVF6","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"SIR7446I","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:50b0acf908042ccc03a713cbd2ba74767daa6bfe3fca6f202560ff99c1e253c9","target":"graph","created_at":"2026-05-17T23:40:37Z","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 study Nash valuations and essential valuations of terminal threefolds of type $cA/r$. If $r=1$ or the given threefold is $\\mathbb Q$-factorial, then all the Nash valuations and essential valuations can be completely described. We construct non-Gorenstein or non-$\\mathbb Q$-factorial counter examples for the Nash problem.","authors_text":"Hsin-Ku Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-15T03:58:38Z","title":"On the Nash problem for terminal threefolds of type $cA/r$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.06326","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":"sha256:15d636928ff8ed6b77e4e6501bc5fdff13667d34e4378b80fa58d069216ebd70","target":"record","created_at":"2026-05-17T23:40:37Z","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":"b9437fc703d5d9a965680f23ac483be06675610e1d392f4602ed15cb7f4a9840","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-15T03:58:38Z","title_canon_sha256":"8109c8e72fb483ac12f6b705260f1379f3b3ff97f9d18bb1832035b5a78ce7cb"},"schema_version":"1.0","source":{"id":"1907.06326","kind":"arxiv","version":1}},"canonical_sha256":"9223fe73c8be54b8d4be0b33a44760b85c8c578a95f0277da604907d7dbd5174","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9223fe73c8be54b8d4be0b33a44760b85c8c578a95f0277da604907d7dbd5174","first_computed_at":"2026-05-17T23:40:37.921113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:37.921113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pY73eR5ivCRBiPaNLNB0tuTtYYkMCk3yKzYZu2IuW/hY2QxDmjAVk35FJ2ZalqU3c6Fvi8dpc8teUo8gVGQyDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:37.921581Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.06326","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15d636928ff8ed6b77e4e6501bc5fdff13667d34e4378b80fa58d069216ebd70","sha256:50b0acf908042ccc03a713cbd2ba74767daa6bfe3fca6f202560ff99c1e253c9"],"state_sha256":"134316a5b9a84902aa980ee627a2de6c474fde14512f62d7a96fc3db00f7d49d"}