{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:DZ5CG7IP2TQUH5XUAU7PGECIB7","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":"c5c83e05a41bc4f3287017517056418066ce0ab43df411066cfa75faf786b600","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-01-26T18:02:21Z","title_canon_sha256":"799f7de2b584904b24d0c2af0824cd755f8c691a45ebc5bea3b9189319cf72d0"},"schema_version":"1.0","source":{"id":"2601.18741","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.18741","created_at":"2026-06-23T03:13:53Z"},{"alias_kind":"arxiv_version","alias_value":"2601.18741v2","created_at":"2026-06-23T03:13:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.18741","created_at":"2026-06-23T03:13:53Z"},{"alias_kind":"pith_short_12","alias_value":"DZ5CG7IP2TQU","created_at":"2026-06-23T03:13:53Z"},{"alias_kind":"pith_short_16","alias_value":"DZ5CG7IP2TQUH5XU","created_at":"2026-06-23T03:13:53Z"},{"alias_kind":"pith_short_8","alias_value":"DZ5CG7IP","created_at":"2026-06-23T03:13:53Z"}],"graph_snapshots":[{"event_id":"sha256:a5f242450ac15035ee4972367d181131fe9f5cf1dac321f4c994c34dfde60b66","target":"graph","created_at":"2026-06-23T03:13:53Z","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/2601.18741/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that K\\\"ahler-Einstein metrics with cone singularities along simple normal crossing (SNC) divisors define RCD spaces, both in the compact setting and in certain non-compact cases, thereby producing many examples of Einstein RCD spaces. In particular, we show the existence of smooth non-compact $4$-manifolds carrying ALE Ricci-flat RCD$(0,4)$ metrics with any space form $S^3/\\Gamma$ as the link of the tangent cone at infinity, answering a question raised by D. Semola. Our proofs rely on the characterization of RCD spaces in the almost-smooth setting due to S. Honda and Honda-Sun.","authors_text":"Cristiano Spotti, Martin de Borbon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-01-26T18:02:21Z","title":"SNC K\\\"ahler-Einstein metrics and RCD spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.18741","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":"sha256:3c04ac8848890e06b556eab95697d1504f8c56ddbd16777b11ba1f6a45568aa5","target":"record","created_at":"2026-06-23T03:13:53Z","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":"c5c83e05a41bc4f3287017517056418066ce0ab43df411066cfa75faf786b600","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-01-26T18:02:21Z","title_canon_sha256":"799f7de2b584904b24d0c2af0824cd755f8c691a45ebc5bea3b9189319cf72d0"},"schema_version":"1.0","source":{"id":"2601.18741","kind":"arxiv","version":2}},"canonical_sha256":"1e7a237d0fd4e143f6f4053ef310480fcffc65d722c55ae6d68f0f7243d1dc63","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e7a237d0fd4e143f6f4053ef310480fcffc65d722c55ae6d68f0f7243d1dc63","first_computed_at":"2026-06-23T03:13:53.530156Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T03:13:53.530156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/Kl0asq9JsS9HPtuE4sgi6nEixhh0RvNlPltKEEkyYty4Y5KqSWR5lB+SvxXfJFDoshJDPSnBo1XQ0sMhMXrDQ==","signature_status":"signed_v1","signed_at":"2026-06-23T03:13:53.530674Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.18741","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c04ac8848890e06b556eab95697d1504f8c56ddbd16777b11ba1f6a45568aa5","sha256:a5f242450ac15035ee4972367d181131fe9f5cf1dac321f4c994c34dfde60b66"],"state_sha256":"92ac1eea9452e2bd632a51ae6e119041d8a93d81d03b0de7c35abe8f57f42e19"}