{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:IMKSZBQ66SQIAWVKN42V77ZVC4","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":"e98082ffa6490a6ea6ea102e4752d0bacbc01282b91d8fda0c176ef777a877d6","cross_cats_sorted":["cs.LG","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2026-05-29T15:15:15Z","title_canon_sha256":"517e8a54b8598dad372dafe2109336fea2c9bbb04528e3f490f60b3dbe964efa"},"schema_version":"1.0","source":{"id":"2605.31413","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.31413","created_at":"2026-06-01T02:04:04Z"},{"alias_kind":"arxiv_version","alias_value":"2605.31413v1","created_at":"2026-06-01T02:04:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.31413","created_at":"2026-06-01T02:04:04Z"},{"alias_kind":"pith_short_12","alias_value":"IMKSZBQ66SQI","created_at":"2026-06-01T02:04:04Z"},{"alias_kind":"pith_short_16","alias_value":"IMKSZBQ66SQIAWVK","created_at":"2026-06-01T02:04:04Z"},{"alias_kind":"pith_short_8","alias_value":"IMKSZBQ6","created_at":"2026-06-01T02:04:04Z"}],"graph_snapshots":[{"event_id":"sha256:7e3b8698548dc5dc3fddf2e156e67dbf4d1e21719460c1c017348b2489981f3b","target":"graph","created_at":"2026-06-01T02:04:04Z","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/2605.31413/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish improved nonasymptotic bounds for Langevin Monte Carlo in the strongly log-concave setting, when the error is measured by the Wasserstein distance. The main result shows that the discretization error is governed by an average coordinate-wise smoothness constant, rather than by the usual global smoothness constant. The proof is short and probabilistic, and relies on a refined use of the synchronous coupling. We further show that the same ideas lead to improved bounds for variable step sizes, for potentials whose Laplacian is Lipschitz-continuous, and for finite-sum problems sampled","authors_text":"Arnak S. Dalalyan, Avetik Karagulyan","cross_cats":["cs.LG","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2026-05-29T15:15:15Z","title":"Improved Guarantees for Langevin Monte Carlo with Average Smoothness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.31413","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:e61fe409fd00bea49d22dad2a17838e512c7993f3ab454b27c1d57117a40650c","target":"record","created_at":"2026-06-01T02:04:04Z","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":"e98082ffa6490a6ea6ea102e4752d0bacbc01282b91d8fda0c176ef777a877d6","cross_cats_sorted":["cs.LG","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2026-05-29T15:15:15Z","title_canon_sha256":"517e8a54b8598dad372dafe2109336fea2c9bbb04528e3f490f60b3dbe964efa"},"schema_version":"1.0","source":{"id":"2605.31413","kind":"arxiv","version":1}},"canonical_sha256":"43152c861ef4a0805aaa6f355fff351709d40d7cc1ce243e0f225d05f1222447","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43152c861ef4a0805aaa6f355fff351709d40d7cc1ce243e0f225d05f1222447","first_computed_at":"2026-06-01T02:04:04.315528Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-01T02:04:04.315528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2ZtYhLRJCLMCsP74zQ3b2ihpcG7MXA6Fpv9YJnU0GQSfbo8QJ5R6KtZIifeHJWcWx0BEQHj9tHNTNBnBbObQCw==","signature_status":"signed_v1","signed_at":"2026-06-01T02:04:04.316194Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.31413","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e61fe409fd00bea49d22dad2a17838e512c7993f3ab454b27c1d57117a40650c","sha256:7e3b8698548dc5dc3fddf2e156e67dbf4d1e21719460c1c017348b2489981f3b"],"state_sha256":"cab9f7693eaeb1dab7c8fc14f4c194a060ef6081e8746b3e41767afd10503cc3"}