{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:OLIRXDXBQQUMHKIBJYV3FNLVFE","short_pith_number":"pith:OLIRXDXB","schema_version":"1.0","canonical_sha256":"72d11b8ee18428c3a9014e2bb2b5752930d19cfbfcea15a81052d0520d3803fb","source":{"kind":"arxiv","id":"1503.07118","version":4},"attestation_state":"computed","paper":{"title":"On Reverse Pinsker Inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.PR"],"primary_cat":"cs.IT","authors_text":"Igal Sason","submitted_at":"2015-03-24T17:45:30Z","abstract_excerpt":"New upper bounds on the relative entropy are derived as a function of the total variation distance. One bound refines an inequality by Verd\\'{u} for general probability measures. A second bound improves the tightness of an inequality by Csisz\\'{a}r and Talata for arbitrary probability measures that are defined on a common finite set. The latter result is further extended, for probability measures on a finite set, leading to an upper bound on the R\\'{e}nyi divergence of an arbitrary non-negative order (including $\\infty$) as a function of the total variation distance. Another lower bound by Ver"},"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":"1503.07118","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-03-24T17:45:30Z","cross_cats_sorted":["math.IT","math.PR"],"title_canon_sha256":"f176e4173ed62d39c0fb7893db2eaea9e56d81111a8044c1217ef43457f8996d","abstract_canon_sha256":"7d55bb9fb38398a9d61c32eb349c762c9a74666069cae377af06da0aea8b9030"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:00.165145Z","signature_b64":"n/siQFzS0pu7j4gFDPF4Vzgc35b9TUtyMvLSx2xGwFZNztgROrgJuAVpbl7sN+NO9r9honPNITbdUKs9enJ8CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72d11b8ee18428c3a9014e2bb2b5752930d19cfbfcea15a81052d0520d3803fb","last_reissued_at":"2026-05-18T02:19:00.164629Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:00.164629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Reverse Pinsker Inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.PR"],"primary_cat":"cs.IT","authors_text":"Igal Sason","submitted_at":"2015-03-24T17:45:30Z","abstract_excerpt":"New upper bounds on the relative entropy are derived as a function of the total variation distance. One bound refines an inequality by Verd\\'{u} for general probability measures. A second bound improves the tightness of an inequality by Csisz\\'{a}r and Talata for arbitrary probability measures that are defined on a common finite set. The latter result is further extended, for probability measures on a finite set, leading to an upper bound on the R\\'{e}nyi divergence of an arbitrary non-negative order (including $\\infty$) as a function of the total variation distance. Another lower bound by Ver"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.07118","kind":"arxiv","version":4},"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":"1503.07118","created_at":"2026-05-18T02:19:00.164706+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.07118v4","created_at":"2026-05-18T02:19:00.164706+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.07118","created_at":"2026-05-18T02:19:00.164706+00:00"},{"alias_kind":"pith_short_12","alias_value":"OLIRXDXBQQUM","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"OLIRXDXBQQUMHKIB","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"OLIRXDXB","created_at":"2026-05-18T12:29:34.919912+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.01763","citing_title":"The Data-Driven Censored Newsvendor Problem","ref_index":55,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OLIRXDXBQQUMHKIBJYV3FNLVFE","json":"https://pith.science/pith/OLIRXDXBQQUMHKIBJYV3FNLVFE.json","graph_json":"https://pith.science/api/pith-number/OLIRXDXBQQUMHKIBJYV3FNLVFE/graph.json","events_json":"https://pith.science/api/pith-number/OLIRXDXBQQUMHKIBJYV3FNLVFE/events.json","paper":"https://pith.science/paper/OLIRXDXB"},"agent_actions":{"view_html":"https://pith.science/pith/OLIRXDXBQQUMHKIBJYV3FNLVFE","download_json":"https://pith.science/pith/OLIRXDXBQQUMHKIBJYV3FNLVFE.json","view_paper":"https://pith.science/paper/OLIRXDXB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.07118&json=true","fetch_graph":"https://pith.science/api/pith-number/OLIRXDXBQQUMHKIBJYV3FNLVFE/graph.json","fetch_events":"https://pith.science/api/pith-number/OLIRXDXBQQUMHKIBJYV3FNLVFE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OLIRXDXBQQUMHKIBJYV3FNLVFE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OLIRXDXBQQUMHKIBJYV3FNLVFE/action/storage_attestation","attest_author":"https://pith.science/pith/OLIRXDXBQQUMHKIBJYV3FNLVFE/action/author_attestation","sign_citation":"https://pith.science/pith/OLIRXDXBQQUMHKIBJYV3FNLVFE/action/citation_signature","submit_replication":"https://pith.science/pith/OLIRXDXBQQUMHKIBJYV3FNLVFE/action/replication_record"}},"created_at":"2026-05-18T02:19:00.164706+00:00","updated_at":"2026-05-18T02:19:00.164706+00:00"}