{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:AFGM7PUCCZWFBPII7VYKGYXPP3","short_pith_number":"pith:AFGM7PUC","canonical_record":{"source":{"id":"1505.05493","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-20T19:28:48Z","cross_cats_sorted":[],"title_canon_sha256":"2491c84aa90920eca7235bfdc20fe7ae27780854907782a2ee74b7216e81c150","abstract_canon_sha256":"430ac009425b669dbdc62f9b92c6c99d84e4cfd381603f2203b6961f9fc266e2"},"schema_version":"1.0"},"canonical_sha256":"014ccfbe82166c50bd08fd70a362ef7ec09703d10c00c6077a435c8e372f6327","source":{"kind":"arxiv","id":"1505.05493","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05493","created_at":"2026-05-18T01:09:46Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05493v2","created_at":"2026-05-18T01:09:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05493","created_at":"2026-05-18T01:09:46Z"},{"alias_kind":"pith_short_12","alias_value":"AFGM7PUCCZWF","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AFGM7PUCCZWFBPII","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AFGM7PUC","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:AFGM7PUCCZWFBPII7VYKGYXPP3","target":"record","payload":{"canonical_record":{"source":{"id":"1505.05493","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-20T19:28:48Z","cross_cats_sorted":[],"title_canon_sha256":"2491c84aa90920eca7235bfdc20fe7ae27780854907782a2ee74b7216e81c150","abstract_canon_sha256":"430ac009425b669dbdc62f9b92c6c99d84e4cfd381603f2203b6961f9fc266e2"},"schema_version":"1.0"},"canonical_sha256":"014ccfbe82166c50bd08fd70a362ef7ec09703d10c00c6077a435c8e372f6327","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:46.905874Z","signature_b64":"5gsRE3/HSkkItHu0NBIib450MZ8oKarFDGJuE6InTUi7OpDdROCT1dCve3kOmbfBo+uMAjk8Zg5EBet9K0f3Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"014ccfbe82166c50bd08fd70a362ef7ec09703d10c00c6077a435c8e372f6327","last_reissued_at":"2026-05-18T01:09:46.905195Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:46.905195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.05493","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:09:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G8fA1dwHF0bSTYZFAegIMqiQlNxM7uYeLfdsLMpGk8NlcwoT69SNOwQTpwYsjNGeMQuL8LgCflRcNYTEjt5ZAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T14:09:04.046182Z"},"content_sha256":"67833f74c0f974b66525b15844747e1c3343b7a700ad8be64f2399065fc5d290","schema_version":"1.0","event_id":"sha256:67833f74c0f974b66525b15844747e1c3343b7a700ad8be64f2399065fc5d290"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:AFGM7PUCCZWFBPII7VYKGYXPP3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modified log-Sobolev inequalities for convex functions on the real line. Sufficient conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Micha{\\l} Strzelecki, Rados{\\l}aw Adamczak","submitted_at":"2015-05-20T19:28:48Z","abstract_excerpt":"We provide a mild sufficient condition for a probability measure on the real line to satisfy a modified log-Sobolev inequality for convex functions, interpolating between the classical log-Sobolev inequality and a Bobkov-Ledoux type inequality. As a consequence we obtain dimension-free two-level concentration results for convex function of independent random variables with sufficiently regular tail decay. We also provide a link between modified log-Sobolev inequalities for convex functions and weak transport-entropy inequalities, complementing recent work by Gozlan, Roberto, Samson, and Tetali"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05493","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:09:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JRoMIxr3ON4ovUIATJT+/zji2e9lv9XfBaRmqfiKqUlDjzXiCgIeddbXRQ0ny9oqzh5dUClq5bnI4TOOr7y4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T14:09:04.046539Z"},"content_sha256":"f8178add300cc06d1a50c10a7ba618a4220991664e13a637a5d6e5db9548eeee","schema_version":"1.0","event_id":"sha256:f8178add300cc06d1a50c10a7ba618a4220991664e13a637a5d6e5db9548eeee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AFGM7PUCCZWFBPII7VYKGYXPP3/bundle.json","state_url":"https://pith.science/pith/AFGM7PUCCZWFBPII7VYKGYXPP3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AFGM7PUCCZWFBPII7VYKGYXPP3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-29T14:09:04Z","links":{"resolver":"https://pith.science/pith/AFGM7PUCCZWFBPII7VYKGYXPP3","bundle":"https://pith.science/pith/AFGM7PUCCZWFBPII7VYKGYXPP3/bundle.json","state":"https://pith.science/pith/AFGM7PUCCZWFBPII7VYKGYXPP3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AFGM7PUCCZWFBPII7VYKGYXPP3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AFGM7PUCCZWFBPII7VYKGYXPP3","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":"430ac009425b669dbdc62f9b92c6c99d84e4cfd381603f2203b6961f9fc266e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-20T19:28:48Z","title_canon_sha256":"2491c84aa90920eca7235bfdc20fe7ae27780854907782a2ee74b7216e81c150"},"schema_version":"1.0","source":{"id":"1505.05493","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05493","created_at":"2026-05-18T01:09:46Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05493v2","created_at":"2026-05-18T01:09:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05493","created_at":"2026-05-18T01:09:46Z"},{"alias_kind":"pith_short_12","alias_value":"AFGM7PUCCZWF","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AFGM7PUCCZWFBPII","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AFGM7PUC","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:f8178add300cc06d1a50c10a7ba618a4220991664e13a637a5d6e5db9548eeee","target":"graph","created_at":"2026-05-18T01:09:46Z","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 provide a mild sufficient condition for a probability measure on the real line to satisfy a modified log-Sobolev inequality for convex functions, interpolating between the classical log-Sobolev inequality and a Bobkov-Ledoux type inequality. As a consequence we obtain dimension-free two-level concentration results for convex function of independent random variables with sufficiently regular tail decay. We also provide a link between modified log-Sobolev inequalities for convex functions and weak transport-entropy inequalities, complementing recent work by Gozlan, Roberto, Samson, and Tetali","authors_text":"Micha{\\l} Strzelecki, Rados{\\l}aw Adamczak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-20T19:28:48Z","title":"Modified log-Sobolev inequalities for convex functions on the real line. Sufficient conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05493","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":"sha256:67833f74c0f974b66525b15844747e1c3343b7a700ad8be64f2399065fc5d290","target":"record","created_at":"2026-05-18T01:09:46Z","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":"430ac009425b669dbdc62f9b92c6c99d84e4cfd381603f2203b6961f9fc266e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-20T19:28:48Z","title_canon_sha256":"2491c84aa90920eca7235bfdc20fe7ae27780854907782a2ee74b7216e81c150"},"schema_version":"1.0","source":{"id":"1505.05493","kind":"arxiv","version":2}},"canonical_sha256":"014ccfbe82166c50bd08fd70a362ef7ec09703d10c00c6077a435c8e372f6327","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"014ccfbe82166c50bd08fd70a362ef7ec09703d10c00c6077a435c8e372f6327","first_computed_at":"2026-05-18T01:09:46.905195Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:46.905195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5gsRE3/HSkkItHu0NBIib450MZ8oKarFDGJuE6InTUi7OpDdROCT1dCve3kOmbfBo+uMAjk8Zg5EBet9K0f3Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:46.905874Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.05493","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67833f74c0f974b66525b15844747e1c3343b7a700ad8be64f2399065fc5d290","sha256:f8178add300cc06d1a50c10a7ba618a4220991664e13a637a5d6e5db9548eeee"],"state_sha256":"be32baa022804fcd88e3d8d955e6ddc7549f4f321a433771318f3e5cc38a2f63"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UJlgkjcEJJi9ltWxfZicADoggHsLiY7wdQeK+NzuaO7FJ95LZ65nD/5ddRm53Qfm5WuCJfz6QsgpubE62nrlBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T14:09:04.048363Z","bundle_sha256":"3ed1631fde5a09b85545c773a00799c1c27d47421ca02fb00875e3c9dba2fcdb"}}