{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:5L453KBPL2SIK3H7A4DU25HD7I","short_pith_number":"pith:5L453KBP","canonical_record":{"source":{"id":"2111.00092","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2021-10-29T21:36:34Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"4a90bd9c4ba40a00f0d348e6231c8bbe36ef633489296cb6bbc3d54d8be7843e","abstract_canon_sha256":"d4f27c3485c4c6dfc7cdd3f6ef5982b09ab87f8d0bbff8605f6b059b8ca33dfb"},"schema_version":"1.0"},"canonical_sha256":"eaf9dda82f5ea4856cff07074d74e3fa2ad94e22598ff505dc4cd1dd076a5a55","source":{"kind":"arxiv","id":"2111.00092","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.00092","created_at":"2026-07-05T04:00:19Z"},{"alias_kind":"arxiv_version","alias_value":"2111.00092v2","created_at":"2026-07-05T04:00:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.00092","created_at":"2026-07-05T04:00:19Z"},{"alias_kind":"pith_short_12","alias_value":"5L453KBPL2SI","created_at":"2026-07-05T04:00:19Z"},{"alias_kind":"pith_short_16","alias_value":"5L453KBPL2SIK3H7","created_at":"2026-07-05T04:00:19Z"},{"alias_kind":"pith_short_8","alias_value":"5L453KBP","created_at":"2026-07-05T04:00:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:5L453KBPL2SIK3H7A4DU25HD7I","target":"record","payload":{"canonical_record":{"source":{"id":"2111.00092","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2021-10-29T21:36:34Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"4a90bd9c4ba40a00f0d348e6231c8bbe36ef633489296cb6bbc3d54d8be7843e","abstract_canon_sha256":"d4f27c3485c4c6dfc7cdd3f6ef5982b09ab87f8d0bbff8605f6b059b8ca33dfb"},"schema_version":"1.0"},"canonical_sha256":"eaf9dda82f5ea4856cff07074d74e3fa2ad94e22598ff505dc4cd1dd076a5a55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:00:19.505350Z","signature_b64":"Ru+yTAHJE390bwo+JjyzXyS7YvTWopP9xknsWdrXe4B4rnrHAzQAg1qt/LVAzaOI7hYJCwlLovhzirsRTgjxBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eaf9dda82f5ea4856cff07074d74e3fa2ad94e22598ff505dc4cd1dd076a5a55","last_reissued_at":"2026-07-05T04:00:19.504868Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:00:19.504868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2111.00092","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:00:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VvPX5Fv+ihIrBKGmAZJ5CU4Owpbjm4wwMsBZqjMqJWhiqBPOABcGu7Anpx98unB0SbBXVYEktfTVxX5OYLGiDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T13:52:03.064673Z"},"content_sha256":"b140131f7dfa7312d8bcf570ae15f55b1e5c1fbee7cd7b9e9a7878a405c4bd23","schema_version":"1.0","event_id":"sha256:b140131f7dfa7312d8bcf570ae15f55b1e5c1fbee7cd7b9e9a7878a405c4bd23"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:5L453KBPL2SIK3H7A4DU25HD7I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Compression of Locally Differentially Private Mechanisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"cs.CR","authors_text":"Abhin Shah, Johannes Balle, Lucas Theis, Peter Kairouz, Wei-Ning Chen","submitted_at":"2021-10-29T21:36:34Z","abstract_excerpt":"Compressing the output of \\epsilon-locally differentially private (LDP) randomizers naively leads to suboptimal utility. In this work, we demonstrate the benefits of using schemes that jointly compress and privatize the data using shared randomness. In particular, we investigate a family of schemes based on Minimal Random Coding (Havasi et al., 2019) and prove that they offer optimal privacy-accuracy-communication tradeoffs. Our theoretical and empirical findings show that our approach can compress PrivUnit (Bhowmick et al., 2018) and Subset Selection (Ye et al., 2018), the best known LDP algo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.00092","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2111.00092/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T04:00:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3BcRgmv/j2JmfQNvLgUzzq+8BiU6iJ4pvGsnUeFS6XD5mkdV5zXXCPxT+tTL7RUJIHhz6cY6N2f607Qe4EDjDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T13:52:03.065175Z"},"content_sha256":"87775b14cda2b1fbe05a97bdc236b25df6e1b1e4f97b75547f23728489bc153c","schema_version":"1.0","event_id":"sha256:87775b14cda2b1fbe05a97bdc236b25df6e1b1e4f97b75547f23728489bc153c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5L453KBPL2SIK3H7A4DU25HD7I/bundle.json","state_url":"https://pith.science/pith/5L453KBPL2SIK3H7A4DU25HD7I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5L453KBPL2SIK3H7A4DU25HD7I/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":"2026-07-07T13:52:03Z","links":{"resolver":"https://pith.science/pith/5L453KBPL2SIK3H7A4DU25HD7I","bundle":"https://pith.science/pith/5L453KBPL2SIK3H7A4DU25HD7I/bundle.json","state":"https://pith.science/pith/5L453KBPL2SIK3H7A4DU25HD7I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5L453KBPL2SIK3H7A4DU25HD7I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:5L453KBPL2SIK3H7A4DU25HD7I","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":"d4f27c3485c4c6dfc7cdd3f6ef5982b09ab87f8d0bbff8605f6b059b8ca33dfb","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2021-10-29T21:36:34Z","title_canon_sha256":"4a90bd9c4ba40a00f0d348e6231c8bbe36ef633489296cb6bbc3d54d8be7843e"},"schema_version":"1.0","source":{"id":"2111.00092","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.00092","created_at":"2026-07-05T04:00:19Z"},{"alias_kind":"arxiv_version","alias_value":"2111.00092v2","created_at":"2026-07-05T04:00:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.00092","created_at":"2026-07-05T04:00:19Z"},{"alias_kind":"pith_short_12","alias_value":"5L453KBPL2SI","created_at":"2026-07-05T04:00:19Z"},{"alias_kind":"pith_short_16","alias_value":"5L453KBPL2SIK3H7","created_at":"2026-07-05T04:00:19Z"},{"alias_kind":"pith_short_8","alias_value":"5L453KBP","created_at":"2026-07-05T04:00:19Z"}],"graph_snapshots":[{"event_id":"sha256:87775b14cda2b1fbe05a97bdc236b25df6e1b1e4f97b75547f23728489bc153c","target":"graph","created_at":"2026-07-05T04:00:19Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2111.00092/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Compressing the output of \\epsilon-locally differentially private (LDP) randomizers naively leads to suboptimal utility. In this work, we demonstrate the benefits of using schemes that jointly compress and privatize the data using shared randomness. In particular, we investigate a family of schemes based on Minimal Random Coding (Havasi et al., 2019) and prove that they offer optimal privacy-accuracy-communication tradeoffs. Our theoretical and empirical findings show that our approach can compress PrivUnit (Bhowmick et al., 2018) and Subset Selection (Ye et al., 2018), the best known LDP algo","authors_text":"Abhin Shah, Johannes Balle, Lucas Theis, Peter Kairouz, Wei-Ning Chen","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2021-10-29T21:36:34Z","title":"Optimal Compression of Locally Differentially Private Mechanisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.00092","kind":"arxiv","version":2},"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:b140131f7dfa7312d8bcf570ae15f55b1e5c1fbee7cd7b9e9a7878a405c4bd23","target":"record","created_at":"2026-07-05T04:00:19Z","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":"d4f27c3485c4c6dfc7cdd3f6ef5982b09ab87f8d0bbff8605f6b059b8ca33dfb","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2021-10-29T21:36:34Z","title_canon_sha256":"4a90bd9c4ba40a00f0d348e6231c8bbe36ef633489296cb6bbc3d54d8be7843e"},"schema_version":"1.0","source":{"id":"2111.00092","kind":"arxiv","version":2}},"canonical_sha256":"eaf9dda82f5ea4856cff07074d74e3fa2ad94e22598ff505dc4cd1dd076a5a55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eaf9dda82f5ea4856cff07074d74e3fa2ad94e22598ff505dc4cd1dd076a5a55","first_computed_at":"2026-07-05T04:00:19.504868Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:00:19.504868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ru+yTAHJE390bwo+JjyzXyS7YvTWopP9xknsWdrXe4B4rnrHAzQAg1qt/LVAzaOI7hYJCwlLovhzirsRTgjxBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:00:19.505350Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.00092","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b140131f7dfa7312d8bcf570ae15f55b1e5c1fbee7cd7b9e9a7878a405c4bd23","sha256:87775b14cda2b1fbe05a97bdc236b25df6e1b1e4f97b75547f23728489bc153c"],"state_sha256":"4530d7cda8f156da3cdfe67374d65873345207965bbcb9e3d26c9192f1014d5f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7GF9U0ajFv1d3MjFD8IYSc+ih6abq8/LE4LZyhK4WwAgvw4Uk5u+SKnfmLBNQvDvsHASp4VE7uW0wZxh+hLlAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T13:52:03.067061Z","bundle_sha256":"4c8406fcc9b7d94c481b83019c719c3ece292e7d3df9815d3f68f11a5ae12e9d"}}