{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:RNNTYWG3RWZO3N6EMHOD6KP3JA","short_pith_number":"pith:RNNTYWG3","canonical_record":{"source":{"id":"1908.01416","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-04T22:34:36Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"a0bda6a5934795083a287d6aa39346e8516419713ee84cb46b99e00c948f9264","abstract_canon_sha256":"1fc3af3203319198cb234c28e506afcb3efa81e7dd832d71e2d4835ea892561a"},"schema_version":"1.0"},"canonical_sha256":"8b5b3c58db8db2edb7c461dc3f29fb4831faad6f92bd2271ec6c87a8343b8af2","source":{"kind":"arxiv","id":"1908.01416","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.01416","created_at":"2026-07-05T04:49:10Z"},{"alias_kind":"arxiv_version","alias_value":"1908.01416v2","created_at":"2026-07-05T04:49:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.01416","created_at":"2026-07-05T04:49:10Z"},{"alias_kind":"pith_short_12","alias_value":"RNNTYWG3RWZO","created_at":"2026-07-05T04:49:10Z"},{"alias_kind":"pith_short_16","alias_value":"RNNTYWG3RWZO3N6E","created_at":"2026-07-05T04:49:10Z"},{"alias_kind":"pith_short_8","alias_value":"RNNTYWG3","created_at":"2026-07-05T04:49:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:RNNTYWG3RWZO3N6EMHOD6KP3JA","target":"record","payload":{"canonical_record":{"source":{"id":"1908.01416","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-04T22:34:36Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"a0bda6a5934795083a287d6aa39346e8516419713ee84cb46b99e00c948f9264","abstract_canon_sha256":"1fc3af3203319198cb234c28e506afcb3efa81e7dd832d71e2d4835ea892561a"},"schema_version":"1.0"},"canonical_sha256":"8b5b3c58db8db2edb7c461dc3f29fb4831faad6f92bd2271ec6c87a8343b8af2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:49:10.183792Z","signature_b64":"iEhn6r0Gss7H96UuQQHfz0sKA8mD6z+8+LIXoLXg9T+4JgLIz1RFty6FfeqLXzhtHjknwFSjdbRCvonmQUMTBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b5b3c58db8db2edb7c461dc3f29fb4831faad6f92bd2271ec6c87a8343b8af2","last_reissued_at":"2026-07-05T04:49:10.183325Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:49:10.183325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.01416","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:49:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p5XyyyS1ml/uVcf+V+kKM4qHYPcQvhglwdtjpKedZbkXObUgX1X1P3aviQW6ySMehQ2yEhfYNVdNYmdeG92IBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T18:11:27.633280Z"},"content_sha256":"1c9d3722e595a17a8d99f6d049b48cacb6752a51c3229f65195af5aa3a5a7ada","schema_version":"1.0","event_id":"sha256:1c9d3722e595a17a8d99f6d049b48cacb6752a51c3229f65195af5aa3a5a7ada"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:RNNTYWG3RWZO3N6EMHOD6KP3JA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Covers of rational double points in mixed characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Javier Carvajal-Rojas, Karl Schwede, Kevin Tucker, Linquan Ma, Thomas Polstra","submitted_at":"2019-08-04T22:34:36Z","abstract_excerpt":"We further the classification of rational surface singularities. Suppose $(S, \\mathfrak{n}, \\mathcal{k})$ is a strictly Henselian regular local ring of mixed characteristic $(0, p > 5)$. We classify functions $f$ for which $S/(f)$ has an isolated rational singularity at the maximal ideal $\\mathfrak{n}$. The classification of such functions are used to show that if $(R, \\mathfrak{m}, \\mathcal{k})$ is an excellent, strictly Henselian, Gorenstein rational singularity of dimension $2$ and mixed characteristic $(0, p > 5)$, then there exists a split finite cover of $\\mbox{Spec}(R)$ by a regular sch"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.01416","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.01416/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:49:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Oi3mnQHvRudniULTDp5usJMyCtRAlEKPn9JLAF/7axC4I2DZTbVNrVH4o64WX8xORWthp79pEczJ7ocfQMQyAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T18:11:27.633876Z"},"content_sha256":"aee24c403c8cc3fc24954a9635bf681e8a36975c28e8744575b8f6a9ed0c03f3","schema_version":"1.0","event_id":"sha256:aee24c403c8cc3fc24954a9635bf681e8a36975c28e8744575b8f6a9ed0c03f3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RNNTYWG3RWZO3N6EMHOD6KP3JA/bundle.json","state_url":"https://pith.science/pith/RNNTYWG3RWZO3N6EMHOD6KP3JA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RNNTYWG3RWZO3N6EMHOD6KP3JA/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-16T18:11:27Z","links":{"resolver":"https://pith.science/pith/RNNTYWG3RWZO3N6EMHOD6KP3JA","bundle":"https://pith.science/pith/RNNTYWG3RWZO3N6EMHOD6KP3JA/bundle.json","state":"https://pith.science/pith/RNNTYWG3RWZO3N6EMHOD6KP3JA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RNNTYWG3RWZO3N6EMHOD6KP3JA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:RNNTYWG3RWZO3N6EMHOD6KP3JA","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":"1fc3af3203319198cb234c28e506afcb3efa81e7dd832d71e2d4835ea892561a","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-04T22:34:36Z","title_canon_sha256":"a0bda6a5934795083a287d6aa39346e8516419713ee84cb46b99e00c948f9264"},"schema_version":"1.0","source":{"id":"1908.01416","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.01416","created_at":"2026-07-05T04:49:10Z"},{"alias_kind":"arxiv_version","alias_value":"1908.01416v2","created_at":"2026-07-05T04:49:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.01416","created_at":"2026-07-05T04:49:10Z"},{"alias_kind":"pith_short_12","alias_value":"RNNTYWG3RWZO","created_at":"2026-07-05T04:49:10Z"},{"alias_kind":"pith_short_16","alias_value":"RNNTYWG3RWZO3N6E","created_at":"2026-07-05T04:49:10Z"},{"alias_kind":"pith_short_8","alias_value":"RNNTYWG3","created_at":"2026-07-05T04:49:10Z"}],"graph_snapshots":[{"event_id":"sha256:aee24c403c8cc3fc24954a9635bf681e8a36975c28e8744575b8f6a9ed0c03f3","target":"graph","created_at":"2026-07-05T04:49:10Z","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/1908.01416/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We further the classification of rational surface singularities. Suppose $(S, \\mathfrak{n}, \\mathcal{k})$ is a strictly Henselian regular local ring of mixed characteristic $(0, p > 5)$. We classify functions $f$ for which $S/(f)$ has an isolated rational singularity at the maximal ideal $\\mathfrak{n}$. The classification of such functions are used to show that if $(R, \\mathfrak{m}, \\mathcal{k})$ is an excellent, strictly Henselian, Gorenstein rational singularity of dimension $2$ and mixed characteristic $(0, p > 5)$, then there exists a split finite cover of $\\mbox{Spec}(R)$ by a regular sch","authors_text":"Javier Carvajal-Rojas, Karl Schwede, Kevin Tucker, Linquan Ma, Thomas Polstra","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-04T22:34:36Z","title":"Covers of rational double points in mixed characteristic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.01416","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":"sha256:1c9d3722e595a17a8d99f6d049b48cacb6752a51c3229f65195af5aa3a5a7ada","target":"record","created_at":"2026-07-05T04:49:10Z","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":"1fc3af3203319198cb234c28e506afcb3efa81e7dd832d71e2d4835ea892561a","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-04T22:34:36Z","title_canon_sha256":"a0bda6a5934795083a287d6aa39346e8516419713ee84cb46b99e00c948f9264"},"schema_version":"1.0","source":{"id":"1908.01416","kind":"arxiv","version":2}},"canonical_sha256":"8b5b3c58db8db2edb7c461dc3f29fb4831faad6f92bd2271ec6c87a8343b8af2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b5b3c58db8db2edb7c461dc3f29fb4831faad6f92bd2271ec6c87a8343b8af2","first_computed_at":"2026-07-05T04:49:10.183325Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:49:10.183325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iEhn6r0Gss7H96UuQQHfz0sKA8mD6z+8+LIXoLXg9T+4JgLIz1RFty6FfeqLXzhtHjknwFSjdbRCvonmQUMTBA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:49:10.183792Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.01416","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c9d3722e595a17a8d99f6d049b48cacb6752a51c3229f65195af5aa3a5a7ada","sha256:aee24c403c8cc3fc24954a9635bf681e8a36975c28e8744575b8f6a9ed0c03f3"],"state_sha256":"b602b576837f41f19bf9765246708d18ffa9fa423a816d25a4e0cba62823903a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9DvojddVXw5v1FLzw1DqtqavspFWGLleM571jOD4kMRDYNSRi14w5jeA64F5+jhpDWMvEaUc5hxgRwIQKEs9CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T18:11:27.640482Z","bundle_sha256":"db5c92786963f89debc29806b1eb001bdade57cd6990a2d72f599d515fb6fd3b"}}