{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:EOUTRQ3LYJJRYJSI37LC4RQ7NQ","short_pith_number":"pith:EOUTRQ3L","canonical_record":{"source":{"id":"2605.28078","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2026-05-27T07:32:26Z","cross_cats_sorted":["cs.AI","cs.LG","stat.ML"],"title_canon_sha256":"f0108161352ed44d503e662c96cd827b5ba0df30377b7ff2c6ce193c6fba7107","abstract_canon_sha256":"6b8cc25805249c763f4d5c6f35ffbbefdfb90c4ceffc0e6718ecf533a7d81d59"},"schema_version":"1.0"},"canonical_sha256":"23a938c36bc2531c2648dfd62e461f6c36144b509e138a8318c9d825a5ec288e","source":{"kind":"arxiv","id":"2605.28078","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.28078","created_at":"2026-05-28T01:04:57Z"},{"alias_kind":"arxiv_version","alias_value":"2605.28078v1","created_at":"2026-05-28T01:04:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.28078","created_at":"2026-05-28T01:04:57Z"},{"alias_kind":"pith_short_12","alias_value":"EOUTRQ3LYJJR","created_at":"2026-05-28T01:04:57Z"},{"alias_kind":"pith_short_16","alias_value":"EOUTRQ3LYJJRYJSI","created_at":"2026-05-28T01:04:57Z"},{"alias_kind":"pith_short_8","alias_value":"EOUTRQ3L","created_at":"2026-05-28T01:04:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:EOUTRQ3LYJJRYJSI37LC4RQ7NQ","target":"record","payload":{"canonical_record":{"source":{"id":"2605.28078","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2026-05-27T07:32:26Z","cross_cats_sorted":["cs.AI","cs.LG","stat.ML"],"title_canon_sha256":"f0108161352ed44d503e662c96cd827b5ba0df30377b7ff2c6ce193c6fba7107","abstract_canon_sha256":"6b8cc25805249c763f4d5c6f35ffbbefdfb90c4ceffc0e6718ecf533a7d81d59"},"schema_version":"1.0"},"canonical_sha256":"23a938c36bc2531c2648dfd62e461f6c36144b509e138a8318c9d825a5ec288e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-28T01:04:57.947895Z","signature_b64":"mUEaFKiQ1IOYM26hwpghk5DK8A7Mm5AEP90yxRSVZeJ8rk2PMby8AMn7qfKotHpih9NqimCxi410FLqAYJ2aAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23a938c36bc2531c2648dfd62e461f6c36144b509e138a8318c9d825a5ec288e","last_reissued_at":"2026-05-28T01:04:57.947482Z","signature_status":"signed_v1","first_computed_at":"2026-05-28T01:04:57.947482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.28078","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-28T01:04:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"viEhbp5Eqg0Zd+ShE2tSGLG2uN1TxldMqaBqkZ/xv5NG95DXHvhPajigdw6xG2tBpXatlktz1Y4wHxqm20YMBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:07:58.429515Z"},"content_sha256":"19c769f1e5842fd29733fd3b0a5f634c9efb7305883e20a9791bf71913c664e1","schema_version":"1.0","event_id":"sha256:19c769f1e5842fd29733fd3b0a5f634c9efb7305883e20a9791bf71913c664e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:EOUTRQ3LYJJRYJSI37LC4RQ7NQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mind the Gap: Mixtures of Gaussians in Approximate Differential Privacy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI","cs.LG","stat.ML"],"primary_cat":"cs.CR","authors_text":"Aras Selvi, Huikang Liu, Wolfram Wiesemann","submitted_at":"2026-05-27T07:32:26Z","abstract_excerpt":"We design a class of additive noise mechanisms that satisfy \\((\\varepsilon, \\delta)\\)-differential privacy (DP) for scalar, real-valued query functions with known sensitivities, with a particular focus on moderate and low-privacy regimes. These mechanisms, which we call \\textit{mixture mechanisms}, are constructed by mixing multiple Gaussian distributions that share the same variance but differ in their means and mixture weights. The resulting distributions can be interpreted as convex combinations of a zero-mean Gaussian (as used in the analytic Gaussian mechanism) and additional Gaussians wh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.28078","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/2605.28078/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":"2026-05-28T01:04:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SbnwuuR9rDy330lSTUseBNibRpC1icEEz0ZPr/ZhzN8B7jPMvxbi9fPZfzmeMKQI5y5hzcoybXPIYyj9Yx6FDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:07:58.430223Z"},"content_sha256":"b34c4870749f64e71e480228c1c9ae55caf0365fb028fffdcd16994f0ffd914a","schema_version":"1.0","event_id":"sha256:b34c4870749f64e71e480228c1c9ae55caf0365fb028fffdcd16994f0ffd914a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EOUTRQ3LYJJRYJSI37LC4RQ7NQ/bundle.json","state_url":"https://pith.science/pith/EOUTRQ3LYJJRYJSI37LC4RQ7NQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EOUTRQ3LYJJRYJSI37LC4RQ7NQ/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":"2026-06-02T14:07:58Z","links":{"resolver":"https://pith.science/pith/EOUTRQ3LYJJRYJSI37LC4RQ7NQ","bundle":"https://pith.science/pith/EOUTRQ3LYJJRYJSI37LC4RQ7NQ/bundle.json","state":"https://pith.science/pith/EOUTRQ3LYJJRYJSI37LC4RQ7NQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EOUTRQ3LYJJRYJSI37LC4RQ7NQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EOUTRQ3LYJJRYJSI37LC4RQ7NQ","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":"6b8cc25805249c763f4d5c6f35ffbbefdfb90c4ceffc0e6718ecf533a7d81d59","cross_cats_sorted":["cs.AI","cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2026-05-27T07:32:26Z","title_canon_sha256":"f0108161352ed44d503e662c96cd827b5ba0df30377b7ff2c6ce193c6fba7107"},"schema_version":"1.0","source":{"id":"2605.28078","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.28078","created_at":"2026-05-28T01:04:57Z"},{"alias_kind":"arxiv_version","alias_value":"2605.28078v1","created_at":"2026-05-28T01:04:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.28078","created_at":"2026-05-28T01:04:57Z"},{"alias_kind":"pith_short_12","alias_value":"EOUTRQ3LYJJR","created_at":"2026-05-28T01:04:57Z"},{"alias_kind":"pith_short_16","alias_value":"EOUTRQ3LYJJRYJSI","created_at":"2026-05-28T01:04:57Z"},{"alias_kind":"pith_short_8","alias_value":"EOUTRQ3L","created_at":"2026-05-28T01:04:57Z"}],"graph_snapshots":[{"event_id":"sha256:b34c4870749f64e71e480228c1c9ae55caf0365fb028fffdcd16994f0ffd914a","target":"graph","created_at":"2026-05-28T01:04:57Z","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/2605.28078/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We design a class of additive noise mechanisms that satisfy \\((\\varepsilon, \\delta)\\)-differential privacy (DP) for scalar, real-valued query functions with known sensitivities, with a particular focus on moderate and low-privacy regimes. These mechanisms, which we call \\textit{mixture mechanisms}, are constructed by mixing multiple Gaussian distributions that share the same variance but differ in their means and mixture weights. The resulting distributions can be interpreted as convex combinations of a zero-mean Gaussian (as used in the analytic Gaussian mechanism) and additional Gaussians wh","authors_text":"Aras Selvi, Huikang Liu, Wolfram Wiesemann","cross_cats":["cs.AI","cs.LG","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2026-05-27T07:32:26Z","title":"Mind the Gap: Mixtures of Gaussians in Approximate Differential Privacy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.28078","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":"sha256:19c769f1e5842fd29733fd3b0a5f634c9efb7305883e20a9791bf71913c664e1","target":"record","created_at":"2026-05-28T01:04:57Z","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":"6b8cc25805249c763f4d5c6f35ffbbefdfb90c4ceffc0e6718ecf533a7d81d59","cross_cats_sorted":["cs.AI","cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2026-05-27T07:32:26Z","title_canon_sha256":"f0108161352ed44d503e662c96cd827b5ba0df30377b7ff2c6ce193c6fba7107"},"schema_version":"1.0","source":{"id":"2605.28078","kind":"arxiv","version":1}},"canonical_sha256":"23a938c36bc2531c2648dfd62e461f6c36144b509e138a8318c9d825a5ec288e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23a938c36bc2531c2648dfd62e461f6c36144b509e138a8318c9d825a5ec288e","first_computed_at":"2026-05-28T01:04:57.947482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-28T01:04:57.947482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mUEaFKiQ1IOYM26hwpghk5DK8A7Mm5AEP90yxRSVZeJ8rk2PMby8AMn7qfKotHpih9NqimCxi410FLqAYJ2aAw==","signature_status":"signed_v1","signed_at":"2026-05-28T01:04:57.947895Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.28078","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19c769f1e5842fd29733fd3b0a5f634c9efb7305883e20a9791bf71913c664e1","sha256:b34c4870749f64e71e480228c1c9ae55caf0365fb028fffdcd16994f0ffd914a"],"state_sha256":"4b4438fe6c1a7962d4a031166fa638d3cf1eae6c36877fb7a27f0fce4d36b3bf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AHf5AZZHDfZexfV25NcYeP88B5G83vnbcaFHocRPKynTi5s/OdOyENPxHqmvhYAr2uiK32QjbHevuNnb1MhpBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T14:07:58.433910Z","bundle_sha256":"2f0881d661d7944aec7584fe6681783a8627ff2c8aa12605ad3c0dd4e169fc71"}}