{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:OMJ25NA5ET6INROB4NCW7BL2CB","short_pith_number":"pith:OMJ25NA5","schema_version":"1.0","canonical_sha256":"7313aeb41d24fc86c5c1e3456f857a10456d32ca153afc22004634b9693f5b5b","source":{"kind":"arxiv","id":"2412.10357","version":1},"attestation_state":"computed","paper":{"title":"The Correlated Gaussian Sparse Histogram Mechanism","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.CR","cs.LG"],"primary_cat":"cs.DS","authors_text":"Christian Janos Lebeda, Lukas Retschmeier","submitted_at":"2024-12-13T18:51:33Z","abstract_excerpt":"We consider the problem of releasing a sparse histogram under $(\\varepsilon, \\delta)$-differential privacy. The stability histogram independently adds noise from a Laplace or Gaussian distribution to the non-zero entries and removes those noisy counts below a threshold.\n  Thereby, the introduction of new non-zero values between neighboring histograms is only revealed with probability at most $\\delta$, and typically, the value of the threshold dominates the error of the mechanism. We consider the variant of the stability histogram with Gaussian noise.\n  Recent works ([Joseph and Yu, COLT '24] a"},"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":"2412.10357","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.DS","submitted_at":"2024-12-13T18:51:33Z","cross_cats_sorted":["cs.CR","cs.LG"],"title_canon_sha256":"43e82925e896cac365fa634b85404416766c2002372044e71f8fd00eaf1a3351","abstract_canon_sha256":"7496ffbec433ed9ecb7162d97a2c57a5eef3195a53298930e1f6b5ae7eb88cee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:48:56.805930Z","signature_b64":"Tq+advLkUOFp/2d9S0kmWxyVu4XSqhG9ngWOZ1oeWo7IkC1OZvj+ZNYK8FEtoQwFQ4trsvzQVnf7uebcKsYmBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7313aeb41d24fc86c5c1e3456f857a10456d32ca153afc22004634b9693f5b5b","last_reissued_at":"2026-07-05T09:48:56.805411Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:48:56.805411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Correlated Gaussian Sparse Histogram Mechanism","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.CR","cs.LG"],"primary_cat":"cs.DS","authors_text":"Christian Janos Lebeda, Lukas Retschmeier","submitted_at":"2024-12-13T18:51:33Z","abstract_excerpt":"We consider the problem of releasing a sparse histogram under $(\\varepsilon, \\delta)$-differential privacy. The stability histogram independently adds noise from a Laplace or Gaussian distribution to the non-zero entries and removes those noisy counts below a threshold.\n  Thereby, the introduction of new non-zero values between neighboring histograms is only revealed with probability at most $\\delta$, and typically, the value of the threshold dominates the error of the mechanism. We consider the variant of the stability histogram with Gaussian noise.\n  Recent works ([Joseph and Yu, COLT '24] a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.10357","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/2412.10357/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":"2412.10357","created_at":"2026-07-05T09:48:56.805466+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.10357v1","created_at":"2026-07-05T09:48:56.805466+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.10357","created_at":"2026-07-05T09:48:56.805466+00:00"},{"alias_kind":"pith_short_12","alias_value":"OMJ25NA5ET6I","created_at":"2026-07-05T09:48:56.805466+00:00"},{"alias_kind":"pith_short_16","alias_value":"OMJ25NA5ET6INROB","created_at":"2026-07-05T09:48:56.805466+00:00"},{"alias_kind":"pith_short_8","alias_value":"OMJ25NA5","created_at":"2026-07-05T09:48:56.805466+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.06597","citing_title":"Continual Release Moment Estimation with Differential Privacy","ref_index":33,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OMJ25NA5ET6INROB4NCW7BL2CB","json":"https://pith.science/pith/OMJ25NA5ET6INROB4NCW7BL2CB.json","graph_json":"https://pith.science/api/pith-number/OMJ25NA5ET6INROB4NCW7BL2CB/graph.json","events_json":"https://pith.science/api/pith-number/OMJ25NA5ET6INROB4NCW7BL2CB/events.json","paper":"https://pith.science/paper/OMJ25NA5"},"agent_actions":{"view_html":"https://pith.science/pith/OMJ25NA5ET6INROB4NCW7BL2CB","download_json":"https://pith.science/pith/OMJ25NA5ET6INROB4NCW7BL2CB.json","view_paper":"https://pith.science/paper/OMJ25NA5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.10357&json=true","fetch_graph":"https://pith.science/api/pith-number/OMJ25NA5ET6INROB4NCW7BL2CB/graph.json","fetch_events":"https://pith.science/api/pith-number/OMJ25NA5ET6INROB4NCW7BL2CB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OMJ25NA5ET6INROB4NCW7BL2CB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OMJ25NA5ET6INROB4NCW7BL2CB/action/storage_attestation","attest_author":"https://pith.science/pith/OMJ25NA5ET6INROB4NCW7BL2CB/action/author_attestation","sign_citation":"https://pith.science/pith/OMJ25NA5ET6INROB4NCW7BL2CB/action/citation_signature","submit_replication":"https://pith.science/pith/OMJ25NA5ET6INROB4NCW7BL2CB/action/replication_record"}},"created_at":"2026-07-05T09:48:56.805466+00:00","updated_at":"2026-07-05T09:48:56.805466+00:00"}