{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:UKCB3S4S37VEV77CSJIYEWB4KA","short_pith_number":"pith:UKCB3S4S","canonical_record":{"source":{"id":"1408.2115","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-08-09T14:42:20Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"0e6cffe525bd4dd5f4ea137da7ae0b9aae02d74723665316809510d297e0e73c","abstract_canon_sha256":"ac05c987cb12e926a1fb84f9704abfbaf839af6737f7936e1235fc39fa8cfab0"},"schema_version":"1.0"},"canonical_sha256":"a2841dcb92dfea4affe2925182583c50285ddc29b764d52323910a36a0f20e57","source":{"kind":"arxiv","id":"1408.2115","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.2115","created_at":"2026-05-18T02:45:30Z"},{"alias_kind":"arxiv_version","alias_value":"1408.2115v1","created_at":"2026-05-18T02:45:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2115","created_at":"2026-05-18T02:45:30Z"},{"alias_kind":"pith_short_12","alias_value":"UKCB3S4S37VE","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UKCB3S4S37VEV77C","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UKCB3S4S","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:UKCB3S4S37VEV77CSJIYEWB4KA","target":"record","payload":{"canonical_record":{"source":{"id":"1408.2115","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-08-09T14:42:20Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"0e6cffe525bd4dd5f4ea137da7ae0b9aae02d74723665316809510d297e0e73c","abstract_canon_sha256":"ac05c987cb12e926a1fb84f9704abfbaf839af6737f7936e1235fc39fa8cfab0"},"schema_version":"1.0"},"canonical_sha256":"a2841dcb92dfea4affe2925182583c50285ddc29b764d52323910a36a0f20e57","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:30.324267Z","signature_b64":"c26ZQd2xjJ4noGmPxjjRPn3EZmk+shBDd8CEvd+nwwRh1iDF8QtanAirhJyuNzq5ajo4Ayrs/dantRypy8rQDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2841dcb92dfea4affe2925182583c50285ddc29b764d52323910a36a0f20e57","last_reissued_at":"2026-05-18T02:45:30.323587Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:30.323587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.2115","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:45:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ET3ADB3/YQQBT8RwfZwxaiHwSLfVprdSucet2azUv1QYRMlUIomXUnsZkMU/Au3LC//froa3ymKu2irTSlliDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T22:43:58.489224Z"},"content_sha256":"49785476cacb746162173d2c493ec9373da57b6bb0957acc47b63620c22af105","schema_version":"1.0","event_id":"sha256:49785476cacb746162173d2c493ec9373da57b6bb0957acc47b63620c22af105"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:UKCB3S4S37VEV77CSJIYEWB4KA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bounds on the deficit in the logarithmic Sobolev inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.PR","authors_text":"Cyril Roberto (MODAL'X), Nathael Gozlan (LAMA), Paul-Marie Samson (LAMA), Sergey Bobkov (UMN-MATH)","submitted_at":"2014-08-09T14:42:20Z","abstract_excerpt":"The de cit in the logarithmic Sobolev inequality for the Gaussian measure is considered and estimated by means of transport and information-theoretic distances."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2115","kind":"arxiv","version":1},"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":"2026-05-18T02:45:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E7MdjwuVx54vv2BAhjgR5ggmmCECde1j2CPrYYyqe9unafUFJGvHH99NtcO/maqWpPf2OrW1pAXicdxRR7LNBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T22:43:58.489792Z"},"content_sha256":"16cd1b32a770a02f5f88c0bb354322e9e661e2e438f459a817ad6fcc2761cafe","schema_version":"1.0","event_id":"sha256:16cd1b32a770a02f5f88c0bb354322e9e661e2e438f459a817ad6fcc2761cafe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UKCB3S4S37VEV77CSJIYEWB4KA/bundle.json","state_url":"https://pith.science/pith/UKCB3S4S37VEV77CSJIYEWB4KA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UKCB3S4S37VEV77CSJIYEWB4KA/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":"2026-06-04T22:43:58Z","links":{"resolver":"https://pith.science/pith/UKCB3S4S37VEV77CSJIYEWB4KA","bundle":"https://pith.science/pith/UKCB3S4S37VEV77CSJIYEWB4KA/bundle.json","state":"https://pith.science/pith/UKCB3S4S37VEV77CSJIYEWB4KA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UKCB3S4S37VEV77CSJIYEWB4KA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UKCB3S4S37VEV77CSJIYEWB4KA","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":"ac05c987cb12e926a1fb84f9704abfbaf839af6737f7936e1235fc39fa8cfab0","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-08-09T14:42:20Z","title_canon_sha256":"0e6cffe525bd4dd5f4ea137da7ae0b9aae02d74723665316809510d297e0e73c"},"schema_version":"1.0","source":{"id":"1408.2115","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.2115","created_at":"2026-05-18T02:45:30Z"},{"alias_kind":"arxiv_version","alias_value":"1408.2115v1","created_at":"2026-05-18T02:45:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2115","created_at":"2026-05-18T02:45:30Z"},{"alias_kind":"pith_short_12","alias_value":"UKCB3S4S37VE","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UKCB3S4S37VEV77C","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UKCB3S4S","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:16cd1b32a770a02f5f88c0bb354322e9e661e2e438f459a817ad6fcc2761cafe","target":"graph","created_at":"2026-05-18T02:45:30Z","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":"The de cit in the logarithmic Sobolev inequality for the Gaussian measure is considered and estimated by means of transport and information-theoretic distances.","authors_text":"Cyril Roberto (MODAL'X), Nathael Gozlan (LAMA), Paul-Marie Samson (LAMA), Sergey Bobkov (UMN-MATH)","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-08-09T14:42:20Z","title":"Bounds on the deficit in the logarithmic Sobolev inequality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2115","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":"sha256:49785476cacb746162173d2c493ec9373da57b6bb0957acc47b63620c22af105","target":"record","created_at":"2026-05-18T02:45:30Z","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":"ac05c987cb12e926a1fb84f9704abfbaf839af6737f7936e1235fc39fa8cfab0","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-08-09T14:42:20Z","title_canon_sha256":"0e6cffe525bd4dd5f4ea137da7ae0b9aae02d74723665316809510d297e0e73c"},"schema_version":"1.0","source":{"id":"1408.2115","kind":"arxiv","version":1}},"canonical_sha256":"a2841dcb92dfea4affe2925182583c50285ddc29b764d52323910a36a0f20e57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2841dcb92dfea4affe2925182583c50285ddc29b764d52323910a36a0f20e57","first_computed_at":"2026-05-18T02:45:30.323587Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:30.323587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c26ZQd2xjJ4noGmPxjjRPn3EZmk+shBDd8CEvd+nwwRh1iDF8QtanAirhJyuNzq5ajo4Ayrs/dantRypy8rQDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:30.324267Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.2115","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49785476cacb746162173d2c493ec9373da57b6bb0957acc47b63620c22af105","sha256:16cd1b32a770a02f5f88c0bb354322e9e661e2e438f459a817ad6fcc2761cafe"],"state_sha256":"d7b7609cee5aac57591f27cc5c90efb55cbc6b58a07b77ee2e04f2130a5ca74e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"avVaK8bEMKTXFCW8fesvSiTJiSqXr0qgFoygWhTCtwh9lsdlCM1jWnMzRF9SyWjKKwDkAN6hbyP2EaIY9U1ECw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T22:43:58.492587Z","bundle_sha256":"896cafde6d927e0e8f814cb60031c23e3cb7577fdbad4bb6404a97d7505d6398"}}