{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:6DEFCRPXK4GWWXO4LTQYYM4XPI","short_pith_number":"pith:6DEFCRPX","canonical_record":{"source":{"id":"1710.00800","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-10-02T17:16:01Z","cross_cats_sorted":["math.IT","math.PR"],"title_canon_sha256":"6d2daf4845d0f7f6c55de88c5d89b7db94738b0492c71c3f27027455c9b518b7","abstract_canon_sha256":"40c8d5d01c61bdb95d4bb26b0fc789e7eaba4bce86e2e34db7961ba4a2e2ad13"},"schema_version":"1.0"},"canonical_sha256":"f0c85145f7570d6b5ddc5ce18c33977a20461e3e364f3cd837c57be7b11ed97e","source":{"kind":"arxiv","id":"1710.00800","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.00800","created_at":"2026-05-18T00:10:11Z"},{"alias_kind":"arxiv_version","alias_value":"1710.00800v3","created_at":"2026-05-18T00:10:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.00800","created_at":"2026-05-18T00:10:11Z"},{"alias_kind":"pith_short_12","alias_value":"6DEFCRPXK4GW","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6DEFCRPXK4GWWXO4","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6DEFCRPX","created_at":"2026-05-18T12:31:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:6DEFCRPXK4GWWXO4LTQYYM4XPI","target":"record","payload":{"canonical_record":{"source":{"id":"1710.00800","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-10-02T17:16:01Z","cross_cats_sorted":["math.IT","math.PR"],"title_canon_sha256":"6d2daf4845d0f7f6c55de88c5d89b7db94738b0492c71c3f27027455c9b518b7","abstract_canon_sha256":"40c8d5d01c61bdb95d4bb26b0fc789e7eaba4bce86e2e34db7961ba4a2e2ad13"},"schema_version":"1.0"},"canonical_sha256":"f0c85145f7570d6b5ddc5ce18c33977a20461e3e364f3cd837c57be7b11ed97e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:11.282610Z","signature_b64":"m0T94wGeLiMvI3Tns4nO4Tt7x6BYW4mtTyF6VlmksxgqJfVLuoICR8xOE81ibBNtmf82JDnC8A+y3rYtM3nLBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0c85145f7570d6b5ddc5ce18c33977a20461e3e364f3cd837c57be7b11ed97e","last_reissued_at":"2026-05-18T00:10:11.281894Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:11.281894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.00800","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:10:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GdYif4c9ocb/4qNzGkTG0iBYqAgrO7njcYaWGAFNUKM8kmlT0DfAZvhTjTqpMXBLiINoRLGqbHp0KMDmrff8CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T01:43:08.563707Z"},"content_sha256":"6cec0b364c5e0333fa5f880f1d217e6c417cf83847e4e31423fc6173bf81a5ad","schema_version":"1.0","event_id":"sha256:6cec0b364c5e0333fa5f880f1d217e6c417cf83847e4e31423fc6173bf81a5ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:6DEFCRPXK4GWWXO4LTQYYM4XPI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the entropy power inequality for the R\\'enyi entropy of order [0,1]","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.PR"],"primary_cat":"cs.IT","authors_text":"Arnaud Marsiglietti, James Melbourne","submitted_at":"2017-10-02T17:16:01Z","abstract_excerpt":"Using a sharp version of the reverse Young inequality, and a R\\'enyi entropy comparison result due to Fradelizi, Madiman, and Wang, the authors are able to derive R\\'enyi entropy power inequalities for log-concave random vectors when R\\'enyi parameters belong to $(0,1)$. Furthermore, the estimates are shown to be sharp up to absolute constants."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.00800","kind":"arxiv","version":3},"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":"2026-05-18T00:10:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c7aOX9dIMIoFYU/r4IOO1ck+U7Iu71sXg7o35E18r0O+WBpu4/nMi8w6LeQRgxgtlX+MZf3olqImtc1cVd3gAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T01:43:08.564047Z"},"content_sha256":"027b2fb7ed7752976219b3141eac86d6cf1ada71fb000186e5f0a30d8e0a70c5","schema_version":"1.0","event_id":"sha256:027b2fb7ed7752976219b3141eac86d6cf1ada71fb000186e5f0a30d8e0a70c5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6DEFCRPXK4GWWXO4LTQYYM4XPI/bundle.json","state_url":"https://pith.science/pith/6DEFCRPXK4GWWXO4LTQYYM4XPI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6DEFCRPXK4GWWXO4LTQYYM4XPI/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":"2026-06-27T01:43:08Z","links":{"resolver":"https://pith.science/pith/6DEFCRPXK4GWWXO4LTQYYM4XPI","bundle":"https://pith.science/pith/6DEFCRPXK4GWWXO4LTQYYM4XPI/bundle.json","state":"https://pith.science/pith/6DEFCRPXK4GWWXO4LTQYYM4XPI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6DEFCRPXK4GWWXO4LTQYYM4XPI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6DEFCRPXK4GWWXO4LTQYYM4XPI","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":"40c8d5d01c61bdb95d4bb26b0fc789e7eaba4bce86e2e34db7961ba4a2e2ad13","cross_cats_sorted":["math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-10-02T17:16:01Z","title_canon_sha256":"6d2daf4845d0f7f6c55de88c5d89b7db94738b0492c71c3f27027455c9b518b7"},"schema_version":"1.0","source":{"id":"1710.00800","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.00800","created_at":"2026-05-18T00:10:11Z"},{"alias_kind":"arxiv_version","alias_value":"1710.00800v3","created_at":"2026-05-18T00:10:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.00800","created_at":"2026-05-18T00:10:11Z"},{"alias_kind":"pith_short_12","alias_value":"6DEFCRPXK4GW","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6DEFCRPXK4GWWXO4","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6DEFCRPX","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:027b2fb7ed7752976219b3141eac86d6cf1ada71fb000186e5f0a30d8e0a70c5","target":"graph","created_at":"2026-05-18T00:10:11Z","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":"Using a sharp version of the reverse Young inequality, and a R\\'enyi entropy comparison result due to Fradelizi, Madiman, and Wang, the authors are able to derive R\\'enyi entropy power inequalities for log-concave random vectors when R\\'enyi parameters belong to $(0,1)$. Furthermore, the estimates are shown to be sharp up to absolute constants.","authors_text":"Arnaud Marsiglietti, James Melbourne","cross_cats":["math.IT","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-10-02T17:16:01Z","title":"On the entropy power inequality for the R\\'enyi entropy of order [0,1]"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.00800","kind":"arxiv","version":3},"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":"sha256:6cec0b364c5e0333fa5f880f1d217e6c417cf83847e4e31423fc6173bf81a5ad","target":"record","created_at":"2026-05-18T00:10:11Z","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":"40c8d5d01c61bdb95d4bb26b0fc789e7eaba4bce86e2e34db7961ba4a2e2ad13","cross_cats_sorted":["math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-10-02T17:16:01Z","title_canon_sha256":"6d2daf4845d0f7f6c55de88c5d89b7db94738b0492c71c3f27027455c9b518b7"},"schema_version":"1.0","source":{"id":"1710.00800","kind":"arxiv","version":3}},"canonical_sha256":"f0c85145f7570d6b5ddc5ce18c33977a20461e3e364f3cd837c57be7b11ed97e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0c85145f7570d6b5ddc5ce18c33977a20461e3e364f3cd837c57be7b11ed97e","first_computed_at":"2026-05-18T00:10:11.281894Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:11.281894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m0T94wGeLiMvI3Tns4nO4Tt7x6BYW4mtTyF6VlmksxgqJfVLuoICR8xOE81ibBNtmf82JDnC8A+y3rYtM3nLBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:11.282610Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.00800","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6cec0b364c5e0333fa5f880f1d217e6c417cf83847e4e31423fc6173bf81a5ad","sha256:027b2fb7ed7752976219b3141eac86d6cf1ada71fb000186e5f0a30d8e0a70c5"],"state_sha256":"e809a5238dc65e13c0173a73def0f2221101e51b7806251654ec938991967882"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7rPzo3LyH+po+WKsxrz3UOD38B0k41hrYRh+il5REjdgyPpOhMcy6s3uxq40263cbCBTzeTQx97uVuaR+0mhAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T01:43:08.565866Z","bundle_sha256":"06a65ed8cba30c956cd708bf9be50f07f65a539187215498cfdb15cf86f63748"}}