{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6TP2BPWCLMAHTUSXWDBM5XEZJE","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":"46400fa17bca00f597e5e9fb23e7ea0977789551fa56508762a349219e7dac8a","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-02-15T18:06:28Z","title_canon_sha256":"b166efc6899afe36a88c10b462da02dca3c490b607b9247394aaf65c8b69ceaf"},"schema_version":"1.0","source":{"id":"1702.04698","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04698","created_at":"2026-05-17T23:43:18Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04698v1","created_at":"2026-05-17T23:43:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04698","created_at":"2026-05-17T23:43:18Z"},{"alias_kind":"pith_short_12","alias_value":"6TP2BPWCLMAH","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6TP2BPWCLMAHTUSX","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6TP2BPWC","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:2e5d06cc854a1f0d6d186547d9458ce0c18476984c959e6474938082a705696a","target":"graph","created_at":"2026-05-17T23:43:18Z","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 give a sufficient and necessary condition for a probability measure $\\mu$ on the real line to satisfy the logarithmic Sobolev inequality for convex functions. The condition is expressed in terms of the unique left-continuous and non-decreasing map transporting the symmetric exponential measure onto $\\mu$. The main tool in the proof is the theory of weak transport costs. As a consequence, we obtain dimension-free concentration bounds for the lower and upper tails of convex functions of independent random variables which satisfy the convex log-Sobolev inequality.","authors_text":"Micha{\\l} Strzelecki, Yan Shu","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-02-15T18:06:28Z","title":"A characterization of a class of convex log-Sobolev inequalities on the real line"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04698","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:d4616e2fd6ef093a39a4b0d45bc0d27283c94bf51e5da9d59f2ed9a3333d53bf","target":"record","created_at":"2026-05-17T23:43:18Z","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":"46400fa17bca00f597e5e9fb23e7ea0977789551fa56508762a349219e7dac8a","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-02-15T18:06:28Z","title_canon_sha256":"b166efc6899afe36a88c10b462da02dca3c490b607b9247394aaf65c8b69ceaf"},"schema_version":"1.0","source":{"id":"1702.04698","kind":"arxiv","version":1}},"canonical_sha256":"f4dfa0bec25b0079d257b0c2cedc99490ce2bfad147eb5d816986c10bf0ce5b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4dfa0bec25b0079d257b0c2cedc99490ce2bfad147eb5d816986c10bf0ce5b5","first_computed_at":"2026-05-17T23:43:18.700699Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:18.700699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dxMmUhRUK7HOwhzcewyYsTt4CQ0RDhVhaIWb3GBAPRjrkbpnqDUktsL7p++Te2+wnP1C9IfJlFRv6xpMq92gCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:18.701432Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.04698","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4616e2fd6ef093a39a4b0d45bc0d27283c94bf51e5da9d59f2ed9a3333d53bf","sha256:2e5d06cc854a1f0d6d186547d9458ce0c18476984c959e6474938082a705696a"],"state_sha256":"f333250c5dce8f47074b5e6cf248e971d88062c6791ae271759223c2cfa4a360"}