{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:DJULTZUZTJZKKVOH2X4DDUHBHJ","short_pith_number":"pith:DJULTZUZ","schema_version":"1.0","canonical_sha256":"1a68b9e6999a72a555c7d5f831d0e13a503a0dae9b8dd6d10c8f757124748f26","source":{"kind":"arxiv","id":"1609.04897","version":3},"attestation_state":"computed","paper":{"title":"Variants of the Entropy Power Inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.PR"],"primary_cat":"cs.IT","authors_text":"Arnaud Marsiglietti, Sergey Bobkov","submitted_at":"2016-09-16T01:41:00Z","abstract_excerpt":"An extension of the entropy power inequality to the form $N_r^\\alpha(X+Y) \\geq N_r^\\alpha(X) + N_r^\\alpha(Y)$ with arbitrary independent summands $X$ and $Y$ in $\\mathbb{R}^n$ is obtained for the R\\'enyi entropy and powers $\\alpha \\geq (r+1)/2$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1609.04897","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-09-16T01:41:00Z","cross_cats_sorted":["math.IT","math.PR"],"title_canon_sha256":"387816c8691a4adab1688239984f955917344323c9acf521170952dd6798df4d","abstract_canon_sha256":"97aee307651c0cbc08a314cb33bf1c4e4e39bda374a161e3372e9872d40809bb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:16.361455Z","signature_b64":"pm4vp8I9pdt09tbzkEHtBB/65HTZTeIEECZtO+TiUSng5xsKfsLDQq2bdsC6UAtSoLdAUfEiwXQJ9RdaJ82ODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a68b9e6999a72a555c7d5f831d0e13a503a0dae9b8dd6d10c8f757124748f26","last_reissued_at":"2026-05-18T00:32:16.360879Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:16.360879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Variants of the Entropy Power Inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.PR"],"primary_cat":"cs.IT","authors_text":"Arnaud Marsiglietti, Sergey Bobkov","submitted_at":"2016-09-16T01:41:00Z","abstract_excerpt":"An extension of the entropy power inequality to the form $N_r^\\alpha(X+Y) \\geq N_r^\\alpha(X) + N_r^\\alpha(Y)$ with arbitrary independent summands $X$ and $Y$ in $\\mathbb{R}^n$ is obtained for the R\\'enyi entropy and powers $\\alpha \\geq (r+1)/2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.04897","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1609.04897","created_at":"2026-05-18T00:32:16.360962+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.04897v3","created_at":"2026-05-18T00:32:16.360962+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.04897","created_at":"2026-05-18T00:32:16.360962+00:00"},{"alias_kind":"pith_short_12","alias_value":"DJULTZUZTJZK","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_16","alias_value":"DJULTZUZTJZKKVOH","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_8","alias_value":"DJULTZUZ","created_at":"2026-05-18T12:30:12.583610+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DJULTZUZTJZKKVOH2X4DDUHBHJ","json":"https://pith.science/pith/DJULTZUZTJZKKVOH2X4DDUHBHJ.json","graph_json":"https://pith.science/api/pith-number/DJULTZUZTJZKKVOH2X4DDUHBHJ/graph.json","events_json":"https://pith.science/api/pith-number/DJULTZUZTJZKKVOH2X4DDUHBHJ/events.json","paper":"https://pith.science/paper/DJULTZUZ"},"agent_actions":{"view_html":"https://pith.science/pith/DJULTZUZTJZKKVOH2X4DDUHBHJ","download_json":"https://pith.science/pith/DJULTZUZTJZKKVOH2X4DDUHBHJ.json","view_paper":"https://pith.science/paper/DJULTZUZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.04897&json=true","fetch_graph":"https://pith.science/api/pith-number/DJULTZUZTJZKKVOH2X4DDUHBHJ/graph.json","fetch_events":"https://pith.science/api/pith-number/DJULTZUZTJZKKVOH2X4DDUHBHJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DJULTZUZTJZKKVOH2X4DDUHBHJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DJULTZUZTJZKKVOH2X4DDUHBHJ/action/storage_attestation","attest_author":"https://pith.science/pith/DJULTZUZTJZKKVOH2X4DDUHBHJ/action/author_attestation","sign_citation":"https://pith.science/pith/DJULTZUZTJZKKVOH2X4DDUHBHJ/action/citation_signature","submit_replication":"https://pith.science/pith/DJULTZUZTJZKKVOH2X4DDUHBHJ/action/replication_record"}},"created_at":"2026-05-18T00:32:16.360962+00:00","updated_at":"2026-05-18T00:32:16.360962+00:00"}