{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:DBX7V7U77RQSKXI5SLS7LPT2RO","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":"ed10fbb20860e710a21dfa99d2376ab8dc5efc11ac8e5a6c06d4e0451235c9e7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-02-20T18:32:02Z","title_canon_sha256":"03ee002c2f9dc0f655e5ab6c39cb936437ecfe900efc9d2b7d87b55131af4bb6"},"schema_version":"1.0","source":{"id":"2502.14809","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.14809","created_at":"2026-07-05T10:17:32Z"},{"alias_kind":"arxiv_version","alias_value":"2502.14809v1","created_at":"2026-07-05T10:17:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.14809","created_at":"2026-07-05T10:17:32Z"},{"alias_kind":"pith_short_12","alias_value":"DBX7V7U77RQS","created_at":"2026-07-05T10:17:32Z"},{"alias_kind":"pith_short_16","alias_value":"DBX7V7U77RQSKXI5","created_at":"2026-07-05T10:17:32Z"},{"alias_kind":"pith_short_8","alias_value":"DBX7V7U7","created_at":"2026-07-05T10:17:32Z"}],"graph_snapshots":[{"event_id":"sha256:21144b982aa1f939a19057b9eef249995ead9b1b21b7c298733fcf39e48b3789","target":"graph","created_at":"2026-07-05T10:17:32Z","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/2502.14809/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce $\\mathsf{PREM}$ (Private Relative Error Multiplicative weight update), a new framework for generating synthetic data that achieves a relative error guarantee for statistical queries under $(\\varepsilon, \\delta)$ differential privacy (DP). Namely, for a domain ${\\cal X}$, a family ${\\cal F}$ of queries $f : {\\cal X} \\to \\{0, 1\\}$, and $\\zeta > 0$, our framework yields a mechanism that on input dataset $D \\in {\\cal X}^n$ outputs a synthetic dataset $\\widehat{D} \\in {\\cal X}^n$ such that all statistical queries in ${\\cal F}$ on $D$, namely $\\sum_{x \\in D} f(x)$ for $f \\in {\\cal F}$, ","authors_text":"Alexander Knop, Badih Ghazi, Crist\\'obal Guzm\\'an, Pasin Manurangsi, Pritish Kamath, Ravi Kumar, Sushant Sachdeva","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-02-20T18:32:02Z","title":"PREM: Privately Answering Statistical Queries with Relative Error"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.14809","kind":"arxiv","version":1},"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":"sha256:5b9550f3479f24b5dd58ade4357b179e43db8731db5e04869d3c7edc7ab0ac14","target":"record","created_at":"2026-07-05T10:17:32Z","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":"ed10fbb20860e710a21dfa99d2376ab8dc5efc11ac8e5a6c06d4e0451235c9e7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-02-20T18:32:02Z","title_canon_sha256":"03ee002c2f9dc0f655e5ab6c39cb936437ecfe900efc9d2b7d87b55131af4bb6"},"schema_version":"1.0","source":{"id":"2502.14809","kind":"arxiv","version":1}},"canonical_sha256":"186ffafe9ffc61255d1d92e5f5be7a8bae9efd18fadc3bc0fd76172a275fb4c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"186ffafe9ffc61255d1d92e5f5be7a8bae9efd18fadc3bc0fd76172a275fb4c6","first_computed_at":"2026-07-05T10:17:32.817296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:17:32.817296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9V9+PnfOUr3dmAn+wAz55jigWIQmm6MYpsoCXD6gtJ4jbDfcTIW4H8bi6tHBSS/RXZcddVwlAGDD8Uiq7NJhDA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:17:32.817788Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.14809","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b9550f3479f24b5dd58ade4357b179e43db8731db5e04869d3c7edc7ab0ac14","sha256:21144b982aa1f939a19057b9eef249995ead9b1b21b7c298733fcf39e48b3789"],"state_sha256":"b140cb890774dc50cd6b7100777f54af3d3d5f2442a1c05b296d1641d9f9d9cd"}