{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KH3AZEBNGPXFIC7UV46BT3BZGD","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":"85991cbac122b66458cc1f518864d506712f9eb23cf5337b0cd8a6a7367e66ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-08-07T00:21:58Z","title_canon_sha256":"6dac687732389727f4d7ed21db1fa415bff956c04a702bbf620f3cdaaf850316"},"schema_version":"1.0","source":{"id":"1808.02164","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.02164","created_at":"2026-05-17T23:54:22Z"},{"alias_kind":"arxiv_version","alias_value":"1808.02164v2","created_at":"2026-05-17T23:54:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.02164","created_at":"2026-05-17T23:54:22Z"},{"alias_kind":"pith_short_12","alias_value":"KH3AZEBNGPXF","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KH3AZEBNGPXFIC7U","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KH3AZEBN","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:531a6a2eec146d0ef3c0419cb9a38765a61a473fadc8ba133922cb5d49876ed3","target":"graph","created_at":"2026-05-17T23:54:22Z","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 prove that reflected Brownian motion with normal reflections in a convex domain satisfies a dimension free Talagrand type transportation cost-information inequality. The result is generalized to other reflected diffusions with suitable drifts and diffusions. We apply this to get such an inequality for interacting Brownian particles with rank-based drift and diffusion coefficients such as the infinite Atlas model. This is an improvement over earlier dimension-dependent results.","authors_text":"Andrey Sarantsev, Soumik Pal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-08-07T00:21:58Z","title":"A Note on Transportation Cost Inequalities for Diffusions with Reflections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.02164","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":"sha256:356dab6eb22f818998874202ec16c618c30e8554a3e8da42a946cd6f74bb0595","target":"record","created_at":"2026-05-17T23:54:22Z","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":"85991cbac122b66458cc1f518864d506712f9eb23cf5337b0cd8a6a7367e66ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-08-07T00:21:58Z","title_canon_sha256":"6dac687732389727f4d7ed21db1fa415bff956c04a702bbf620f3cdaaf850316"},"schema_version":"1.0","source":{"id":"1808.02164","kind":"arxiv","version":2}},"canonical_sha256":"51f60c902d33ee540bf4af3c19ec3930dd6698e5ae77e7f609560d46cf98a70e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51f60c902d33ee540bf4af3c19ec3930dd6698e5ae77e7f609560d46cf98a70e","first_computed_at":"2026-05-17T23:54:22.703167Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:22.703167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5WaxtrkwJ8oIdWMbju648mF2HaAfo03UyQxA2QrGnx1q6gvmplIPvs48/jLAkvvgduMMrREyHNn3mWMCXP9rDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:22.703722Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.02164","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:356dab6eb22f818998874202ec16c618c30e8554a3e8da42a946cd6f74bb0595","sha256:531a6a2eec146d0ef3c0419cb9a38765a61a473fadc8ba133922cb5d49876ed3"],"state_sha256":"a0716114380ce2f2ae7b06956c67eba30a9032fc756fd36ab9a0ba098631a121"}