{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:472L3QO33UUJL5DKYP7CGHUS5I","short_pith_number":"pith:472L3QO3","canonical_record":{"source":{"id":"1302.3203","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-02-13T20:06:06Z","cross_cats_sorted":["cs.CR","cs.IT","math.IT","stat.TH"],"title_canon_sha256":"7bc8be01ef095a71b6557dfc25380a9e1a27a9ed26bf3c964f3985135d2b3e01","abstract_canon_sha256":"208809511b51813d413d233e93c1a1f92602b8f9738449763f83302e397e982e"},"schema_version":"1.0"},"canonical_sha256":"e7f4bdc1dbdd2895f46ac3fe231e92ea3551bc6f5908c1f6c8e29f4b0d107345","source":{"kind":"arxiv","id":"1302.3203","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3203","created_at":"2026-05-18T02:44:08Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3203v4","created_at":"2026-05-18T02:44:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3203","created_at":"2026-05-18T02:44:08Z"},{"alias_kind":"pith_short_12","alias_value":"472L3QO33UUJ","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"472L3QO33UUJL5DK","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"472L3QO3","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:472L3QO33UUJL5DKYP7CGHUS5I","target":"record","payload":{"canonical_record":{"source":{"id":"1302.3203","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-02-13T20:06:06Z","cross_cats_sorted":["cs.CR","cs.IT","math.IT","stat.TH"],"title_canon_sha256":"7bc8be01ef095a71b6557dfc25380a9e1a27a9ed26bf3c964f3985135d2b3e01","abstract_canon_sha256":"208809511b51813d413d233e93c1a1f92602b8f9738449763f83302e397e982e"},"schema_version":"1.0"},"canonical_sha256":"e7f4bdc1dbdd2895f46ac3fe231e92ea3551bc6f5908c1f6c8e29f4b0d107345","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:08.578296Z","signature_b64":"zfeTgcW6OJ1xAoLJeOlctouYv9OaWpX6DpliwVpuZYOSlTNucRHrraD943P6lR+5zyi+XoV85k4DUT73bK5tDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7f4bdc1dbdd2895f46ac3fe231e92ea3551bc6f5908c1f6c8e29f4b0d107345","last_reissued_at":"2026-05-18T02:44:08.577854Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:08.577854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.3203","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:44:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3mDfcZ7it1alTODGGAyyU5UOqbyI/P6h1CdwF26DGFA9AUOMWlwKMTSehW69zoy4EU60O99v+fSxQu4RcPtjDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T02:54:28.794740Z"},"content_sha256":"bc9838e74732ce6f7b354bf4124deabc3e09b24e5a2ba1be3867c6c48db598c4","schema_version":"1.0","event_id":"sha256:bc9838e74732ce6f7b354bf4124deabc3e09b24e5a2ba1be3867c6c48db598c4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:472L3QO33UUJL5DKYP7CGHUS5I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local Privacy, Data Processing Inequalities, and Statistical Minimax Rates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CR","cs.IT","math.IT","stat.TH"],"primary_cat":"math.ST","authors_text":"John C. Duchi, Martin J. Wainwright, Michael I. Jordan","submitted_at":"2013-02-13T20:06:06Z","abstract_excerpt":"Working under a model of privacy in which data remains private even from the statistician, we study the tradeoff between privacy guarantees and the utility of the resulting statistical estimators. We prove bounds on information-theoretic quantities, including mutual information and Kullback-Leibler divergence, that depend on the privacy guarantees. When combined with standard minimax techniques, including the Le Cam, Fano, and Assouad methods, these inequalities allow for a precise characterization of statistical rates under local privacy constraints. We provide a treatment of several canonica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3203","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:44:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pIalQZD89ZDHXXyzFNfaoB2tc7R1XqeJ1jjc85n5KhKaZ1mimr+U74LajY9qMuCnUETBuYr0163so8CF7X1eDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T02:54:28.795389Z"},"content_sha256":"a610e00d43c2aa892192639c16cd182352253f198186dfae338637765a2e052c","schema_version":"1.0","event_id":"sha256:a610e00d43c2aa892192639c16cd182352253f198186dfae338637765a2e052c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/472L3QO33UUJL5DKYP7CGHUS5I/bundle.json","state_url":"https://pith.science/pith/472L3QO33UUJL5DKYP7CGHUS5I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/472L3QO33UUJL5DKYP7CGHUS5I/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":"2026-05-25T02:54:28Z","links":{"resolver":"https://pith.science/pith/472L3QO33UUJL5DKYP7CGHUS5I","bundle":"https://pith.science/pith/472L3QO33UUJL5DKYP7CGHUS5I/bundle.json","state":"https://pith.science/pith/472L3QO33UUJL5DKYP7CGHUS5I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/472L3QO33UUJL5DKYP7CGHUS5I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:472L3QO33UUJL5DKYP7CGHUS5I","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":"208809511b51813d413d233e93c1a1f92602b8f9738449763f83302e397e982e","cross_cats_sorted":["cs.CR","cs.IT","math.IT","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-02-13T20:06:06Z","title_canon_sha256":"7bc8be01ef095a71b6557dfc25380a9e1a27a9ed26bf3c964f3985135d2b3e01"},"schema_version":"1.0","source":{"id":"1302.3203","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3203","created_at":"2026-05-18T02:44:08Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3203v4","created_at":"2026-05-18T02:44:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3203","created_at":"2026-05-18T02:44:08Z"},{"alias_kind":"pith_short_12","alias_value":"472L3QO33UUJ","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"472L3QO33UUJL5DK","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"472L3QO3","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:a610e00d43c2aa892192639c16cd182352253f198186dfae338637765a2e052c","target":"graph","created_at":"2026-05-18T02:44:08Z","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":"Working under a model of privacy in which data remains private even from the statistician, we study the tradeoff between privacy guarantees and the utility of the resulting statistical estimators. We prove bounds on information-theoretic quantities, including mutual information and Kullback-Leibler divergence, that depend on the privacy guarantees. When combined with standard minimax techniques, including the Le Cam, Fano, and Assouad methods, these inequalities allow for a precise characterization of statistical rates under local privacy constraints. We provide a treatment of several canonica","authors_text":"John C. Duchi, Martin J. Wainwright, Michael I. Jordan","cross_cats":["cs.CR","cs.IT","math.IT","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-02-13T20:06:06Z","title":"Local Privacy, Data Processing Inequalities, and Statistical Minimax Rates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3203","kind":"arxiv","version":4},"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:bc9838e74732ce6f7b354bf4124deabc3e09b24e5a2ba1be3867c6c48db598c4","target":"record","created_at":"2026-05-18T02:44:08Z","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":"208809511b51813d413d233e93c1a1f92602b8f9738449763f83302e397e982e","cross_cats_sorted":["cs.CR","cs.IT","math.IT","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-02-13T20:06:06Z","title_canon_sha256":"7bc8be01ef095a71b6557dfc25380a9e1a27a9ed26bf3c964f3985135d2b3e01"},"schema_version":"1.0","source":{"id":"1302.3203","kind":"arxiv","version":4}},"canonical_sha256":"e7f4bdc1dbdd2895f46ac3fe231e92ea3551bc6f5908c1f6c8e29f4b0d107345","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7f4bdc1dbdd2895f46ac3fe231e92ea3551bc6f5908c1f6c8e29f4b0d107345","first_computed_at":"2026-05-18T02:44:08.577854Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:08.577854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zfeTgcW6OJ1xAoLJeOlctouYv9OaWpX6DpliwVpuZYOSlTNucRHrraD943P6lR+5zyi+XoV85k4DUT73bK5tDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:08.578296Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.3203","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc9838e74732ce6f7b354bf4124deabc3e09b24e5a2ba1be3867c6c48db598c4","sha256:a610e00d43c2aa892192639c16cd182352253f198186dfae338637765a2e052c"],"state_sha256":"f3fdcc47a5dc299b8d1ef40622aa81b0e0b1767240eb00a2ed758d7b36e55f67"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TI2G0HFEEMiUaNARAzXry4OdiV7AJzTZPglukwiVU0WEPQaoLL91YIgPp8bGKMi8knCBi5PhmONvaS5ciuRmDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T02:54:28.798676Z","bundle_sha256":"fac78bf11fe1f0d0177cae8c52023abe86e209aeae9f35fe8ec6cef6471258cf"}}