{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:KXHGHOMDCD4DAQV76KCV2YID7X","short_pith_number":"pith:KXHGHOMD","schema_version":"1.0","canonical_sha256":"55ce63b98310f83042bff2855d6103fdfaed3597f07ec9d31d9c133780c9c021","source":{"kind":"arxiv","id":"2406.01158","version":1},"attestation_state":"computed","paper":{"title":"Profile Reconstruction from Private Sketches","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"cs.CR","authors_text":"Hao Wu, Rasmus Pagh","submitted_at":"2024-06-03T09:51:28Z","abstract_excerpt":"Given a multiset of $n$ items from $\\mathcal{D}$, the \\emph{profile reconstruction} problem is to estimate, for $t = 0, 1, \\dots, n$, the fraction $\\vec{f}[t]$ of items in $\\mathcal{D}$ that appear exactly $t$ times. We consider differentially private profile estimation in a distributed, space-constrained setting where we wish to maintain an updatable, private sketch of the multiset that allows us to compute an approximation of $\\vec{f} = (\\vec{f}[0], \\dots, \\vec{f}[n])$. Using a histogram privatized using discrete Laplace noise, we show how to ``reverse'' the noise, using an approach of Dwork"},"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":"2406.01158","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CR","submitted_at":"2024-06-03T09:51:28Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"ea974446bcb235873d1967060d39fe065feb66f3d24ff824f6ec6d94ab39c725","abstract_canon_sha256":"f5c41faabe12c6118164dc20f290c0aa0ac4edc80c637125fd20eb6b0db4705d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:26:36.197964Z","signature_b64":"lgZHJNT+/XffRQ7gVdEQwHmGPbGSIDHZ3NVltS59oYawcdeaLP2MvUiqRefVBT3VxVHDESxqC1wrih2i/DKGDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55ce63b98310f83042bff2855d6103fdfaed3597f07ec9d31d9c133780c9c021","last_reissued_at":"2026-07-05T08:26:36.197576Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:26:36.197576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Profile Reconstruction from Private Sketches","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"cs.CR","authors_text":"Hao Wu, Rasmus Pagh","submitted_at":"2024-06-03T09:51:28Z","abstract_excerpt":"Given a multiset of $n$ items from $\\mathcal{D}$, the \\emph{profile reconstruction} problem is to estimate, for $t = 0, 1, \\dots, n$, the fraction $\\vec{f}[t]$ of items in $\\mathcal{D}$ that appear exactly $t$ times. We consider differentially private profile estimation in a distributed, space-constrained setting where we wish to maintain an updatable, private sketch of the multiset that allows us to compute an approximation of $\\vec{f} = (\\vec{f}[0], \\dots, \\vec{f}[n])$. Using a histogram privatized using discrete Laplace noise, we show how to ``reverse'' the noise, using an approach of Dwork"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.01158","kind":"arxiv","version":1},"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/2406.01158/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2406.01158","created_at":"2026-07-05T08:26:36.197631+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.01158v1","created_at":"2026-07-05T08:26:36.197631+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.01158","created_at":"2026-07-05T08:26:36.197631+00:00"},{"alias_kind":"pith_short_12","alias_value":"KXHGHOMDCD4D","created_at":"2026-07-05T08:26:36.197631+00:00"},{"alias_kind":"pith_short_16","alias_value":"KXHGHOMDCD4DAQV7","created_at":"2026-07-05T08:26:36.197631+00:00"},{"alias_kind":"pith_short_8","alias_value":"KXHGHOMD","created_at":"2026-07-05T08:26:36.197631+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/KXHGHOMDCD4DAQV76KCV2YID7X","json":"https://pith.science/pith/KXHGHOMDCD4DAQV76KCV2YID7X.json","graph_json":"https://pith.science/api/pith-number/KXHGHOMDCD4DAQV76KCV2YID7X/graph.json","events_json":"https://pith.science/api/pith-number/KXHGHOMDCD4DAQV76KCV2YID7X/events.json","paper":"https://pith.science/paper/KXHGHOMD"},"agent_actions":{"view_html":"https://pith.science/pith/KXHGHOMDCD4DAQV76KCV2YID7X","download_json":"https://pith.science/pith/KXHGHOMDCD4DAQV76KCV2YID7X.json","view_paper":"https://pith.science/paper/KXHGHOMD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.01158&json=true","fetch_graph":"https://pith.science/api/pith-number/KXHGHOMDCD4DAQV76KCV2YID7X/graph.json","fetch_events":"https://pith.science/api/pith-number/KXHGHOMDCD4DAQV76KCV2YID7X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KXHGHOMDCD4DAQV76KCV2YID7X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KXHGHOMDCD4DAQV76KCV2YID7X/action/storage_attestation","attest_author":"https://pith.science/pith/KXHGHOMDCD4DAQV76KCV2YID7X/action/author_attestation","sign_citation":"https://pith.science/pith/KXHGHOMDCD4DAQV76KCV2YID7X/action/citation_signature","submit_replication":"https://pith.science/pith/KXHGHOMDCD4DAQV76KCV2YID7X/action/replication_record"}},"created_at":"2026-07-05T08:26:36.197631+00:00","updated_at":"2026-07-05T08:26:36.197631+00:00"}