{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:77DDA5Y64EOQKQF7F6UXLHOCCR","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":"bc9388e836885816a1e2d3be734110923d4ef00384bebdd9f948b187a802063f","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-03T16:17:31Z","title_canon_sha256":"efe58cbeed828216e9b2d6a83684918453b6cbba7d1cf59209ae73b54e1f0fe3"},"schema_version":"1.0","source":{"id":"2606.05260","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.05260","created_at":"2026-06-05T00:13:50Z"},{"alias_kind":"arxiv_version","alias_value":"2606.05260v1","created_at":"2026-06-05T00:13:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.05260","created_at":"2026-06-05T00:13:50Z"},{"alias_kind":"pith_short_12","alias_value":"77DDA5Y64EOQ","created_at":"2026-06-05T00:13:50Z"},{"alias_kind":"pith_short_16","alias_value":"77DDA5Y64EOQKQF7","created_at":"2026-06-05T00:13:50Z"},{"alias_kind":"pith_short_8","alias_value":"77DDA5Y6","created_at":"2026-06-05T00:13:50Z"}],"graph_snapshots":[{"event_id":"sha256:8a57e90c7ebfd711d7fe1ebed8e6412d17d6928115f3a9f72ab52386ff602617","target":"graph","created_at":"2026-06-05T00:13:50Z","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/2606.05260/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We exhibit a counterexample to a conjecture of Bhatt--Lurie on the cohomological dimension of the Hodge--Tate locus for regular local rings. The example arises from a non-excellent discrete valuation ring constructed by Datta--Smith. We also explain how the same mechanism yields broader families of counterexamples, while the expected bound is recovered under an excellence hypothesis.","authors_text":"Guo Li","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-03T16:17:31Z","title":"A Counterexample to Bhatt-Lurie's Cohomological Dimension Conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.05260","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":"sha256:76bd500f926ae1212482b9ad38e5dd4d2b901e80fe69879df1e32184c33c12b8","target":"record","created_at":"2026-06-05T00:13:50Z","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":"bc9388e836885816a1e2d3be734110923d4ef00384bebdd9f948b187a802063f","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-03T16:17:31Z","title_canon_sha256":"efe58cbeed828216e9b2d6a83684918453b6cbba7d1cf59209ae73b54e1f0fe3"},"schema_version":"1.0","source":{"id":"2606.05260","kind":"arxiv","version":1}},"canonical_sha256":"ffc630771ee11d0540bf2fa9759dc2145c2f4f7fffe08e81b06694f9b2ff46d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffc630771ee11d0540bf2fa9759dc2145c2f4f7fffe08e81b06694f9b2ff46d9","first_computed_at":"2026-06-05T00:13:50.789188Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-05T00:13:50.789188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2XyvlytrffNZDDZiPCRMPxG5EMuvRoemz1Atp4pSlurzNFH2f1pjEWAf3Tu7Cn5VcvaaAgHpdYR/WplvXsF+AA==","signature_status":"signed_v1","signed_at":"2026-06-05T00:13:50.789661Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.05260","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76bd500f926ae1212482b9ad38e5dd4d2b901e80fe69879df1e32184c33c12b8","sha256:8a57e90c7ebfd711d7fe1ebed8e6412d17d6928115f3a9f72ab52386ff602617"],"state_sha256":"2a6b4beeb5f3de3599fa3ddb477c09431b2e756ef72eda104dd588ffd518c6e5"}