{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:YA3MANQN54FH22M6BNSURT5YTP","short_pith_number":"pith:YA3MANQN","canonical_record":{"source":{"id":"2006.07134","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2020-06-12T12:46:42Z","cross_cats_sorted":["cs.CR","cs.LG"],"title_canon_sha256":"b1296af53b0aa94c7ba887a2c39428b6325072b9021880ca09c9d079af427c85","abstract_canon_sha256":"e453ebbb99677df5bac399f8a0081629a2881ec8bb11f6f645ec1aaaa16ad83c"},"schema_version":"1.0"},"canonical_sha256":"c036c0360def0a7d699e0b6548cfb89bcb04cc009e0e2ab180631b6d039233d7","source":{"kind":"arxiv","id":"2006.07134","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.07134","created_at":"2026-07-05T02:51:53Z"},{"alias_kind":"arxiv_version","alias_value":"2006.07134v3","created_at":"2026-07-05T02:51:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.07134","created_at":"2026-07-05T02:51:53Z"},{"alias_kind":"pith_short_12","alias_value":"YA3MANQN54FH","created_at":"2026-07-05T02:51:53Z"},{"alias_kind":"pith_short_16","alias_value":"YA3MANQN54FH22M6","created_at":"2026-07-05T02:51:53Z"},{"alias_kind":"pith_short_8","alias_value":"YA3MANQN","created_at":"2026-07-05T02:51:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:YA3MANQN54FH22M6BNSURT5YTP","target":"record","payload":{"canonical_record":{"source":{"id":"2006.07134","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2020-06-12T12:46:42Z","cross_cats_sorted":["cs.CR","cs.LG"],"title_canon_sha256":"b1296af53b0aa94c7ba887a2c39428b6325072b9021880ca09c9d079af427c85","abstract_canon_sha256":"e453ebbb99677df5bac399f8a0081629a2881ec8bb11f6f645ec1aaaa16ad83c"},"schema_version":"1.0"},"canonical_sha256":"c036c0360def0a7d699e0b6548cfb89bcb04cc009e0e2ab180631b6d039233d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:51:53.549886Z","signature_b64":"k/fNEPxlXY3SZwnrjXrOQXT/GEzPIn+umf9XNSCahx/kXHPBOKujEIGY3hev5GjTggBb7zH36eNwaib/SOhYAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c036c0360def0a7d699e0b6548cfb89bcb04cc009e0e2ab180631b6d039233d7","last_reissued_at":"2026-07-05T02:51:53.549419Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:51:53.549419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.07134","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:51:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Txz3hamaZKHfMR0fpomwe3lIbVGd4HfAshRB1gj8wqXy/HTvOEuGnfUP8rk9E/FdoLY6QukgBDDeZePreafxAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T16:42:48.199889Z"},"content_sha256":"1d2ccbe21a45ba0ce1e912a3e982b5a1f131c5774b5e814b38e60b32ad82a8b0","schema_version":"1.0","event_id":"sha256:1d2ccbe21a45ba0ce1e912a3e982b5a1f131c5774b5e814b38e60b32ad82a8b0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:YA3MANQN54FH22M6BNSURT5YTP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tight Differential Privacy for Discrete-Valued Mechanisms and for the Subsampled Gaussian Mechanism Using FFT","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CR","cs.LG"],"primary_cat":"stat.ML","authors_text":"Antti Honkela, Antti Koskela, Joonas J\\\"alk\\\"o, Lukas Prediger","submitted_at":"2020-06-12T12:46:42Z","abstract_excerpt":"We propose a numerical accountant for evaluating the tight $(\\varepsilon,\\delta)$-privacy loss for algorithms with discrete one dimensional output. The method is based on the privacy loss distribution formalism and it uses the recently introduced fast Fourier transform based accounting technique. We carry out an error analysis of the method in terms of moment bounds of the privacy loss distribution which leads to rigorous lower and upper bounds for the true $(\\varepsilon,\\delta)$-values. As an application, we present a novel approach to accurate privacy accounting of the subsampled Gaussian me"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.07134","kind":"arxiv","version":3},"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/2006.07134/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":"2026-07-05T02:51:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G31BkxPh6sW113x4pSJTxb9XJ/uSntMjvGYtvSQlHdb/9xk0soLRKrlpg63hzCtKc0IwT4ltDlgnd4eIKa8UAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T16:42:48.200219Z"},"content_sha256":"e1fcbd7f59ac95b7c2ed42f6877d6696faf4be16245cce5d66ae7eacf4ad3302","schema_version":"1.0","event_id":"sha256:e1fcbd7f59ac95b7c2ed42f6877d6696faf4be16245cce5d66ae7eacf4ad3302"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YA3MANQN54FH22M6BNSURT5YTP/bundle.json","state_url":"https://pith.science/pith/YA3MANQN54FH22M6BNSURT5YTP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YA3MANQN54FH22M6BNSURT5YTP/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":"2026-08-14T16:42:48Z","links":{"resolver":"https://pith.science/pith/YA3MANQN54FH22M6BNSURT5YTP","bundle":"https://pith.science/pith/YA3MANQN54FH22M6BNSURT5YTP/bundle.json","state":"https://pith.science/pith/YA3MANQN54FH22M6BNSURT5YTP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YA3MANQN54FH22M6BNSURT5YTP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:YA3MANQN54FH22M6BNSURT5YTP","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":"e453ebbb99677df5bac399f8a0081629a2881ec8bb11f6f645ec1aaaa16ad83c","cross_cats_sorted":["cs.CR","cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2020-06-12T12:46:42Z","title_canon_sha256":"b1296af53b0aa94c7ba887a2c39428b6325072b9021880ca09c9d079af427c85"},"schema_version":"1.0","source":{"id":"2006.07134","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.07134","created_at":"2026-07-05T02:51:53Z"},{"alias_kind":"arxiv_version","alias_value":"2006.07134v3","created_at":"2026-07-05T02:51:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.07134","created_at":"2026-07-05T02:51:53Z"},{"alias_kind":"pith_short_12","alias_value":"YA3MANQN54FH","created_at":"2026-07-05T02:51:53Z"},{"alias_kind":"pith_short_16","alias_value":"YA3MANQN54FH22M6","created_at":"2026-07-05T02:51:53Z"},{"alias_kind":"pith_short_8","alias_value":"YA3MANQN","created_at":"2026-07-05T02:51:53Z"}],"graph_snapshots":[{"event_id":"sha256:e1fcbd7f59ac95b7c2ed42f6877d6696faf4be16245cce5d66ae7eacf4ad3302","target":"graph","created_at":"2026-07-05T02:51:53Z","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/2006.07134/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a numerical accountant for evaluating the tight $(\\varepsilon,\\delta)$-privacy loss for algorithms with discrete one dimensional output. The method is based on the privacy loss distribution formalism and it uses the recently introduced fast Fourier transform based accounting technique. We carry out an error analysis of the method in terms of moment bounds of the privacy loss distribution which leads to rigorous lower and upper bounds for the true $(\\varepsilon,\\delta)$-values. As an application, we present a novel approach to accurate privacy accounting of the subsampled Gaussian me","authors_text":"Antti Honkela, Antti Koskela, Joonas J\\\"alk\\\"o, Lukas Prediger","cross_cats":["cs.CR","cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2020-06-12T12:46:42Z","title":"Tight Differential Privacy for Discrete-Valued Mechanisms and for the Subsampled Gaussian Mechanism Using FFT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.07134","kind":"arxiv","version":3},"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":"sha256:1d2ccbe21a45ba0ce1e912a3e982b5a1f131c5774b5e814b38e60b32ad82a8b0","target":"record","created_at":"2026-07-05T02:51:53Z","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":"e453ebbb99677df5bac399f8a0081629a2881ec8bb11f6f645ec1aaaa16ad83c","cross_cats_sorted":["cs.CR","cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2020-06-12T12:46:42Z","title_canon_sha256":"b1296af53b0aa94c7ba887a2c39428b6325072b9021880ca09c9d079af427c85"},"schema_version":"1.0","source":{"id":"2006.07134","kind":"arxiv","version":3}},"canonical_sha256":"c036c0360def0a7d699e0b6548cfb89bcb04cc009e0e2ab180631b6d039233d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c036c0360def0a7d699e0b6548cfb89bcb04cc009e0e2ab180631b6d039233d7","first_computed_at":"2026-07-05T02:51:53.549419Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:51:53.549419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k/fNEPxlXY3SZwnrjXrOQXT/GEzPIn+umf9XNSCahx/kXHPBOKujEIGY3hev5GjTggBb7zH36eNwaib/SOhYAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:51:53.549886Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.07134","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d2ccbe21a45ba0ce1e912a3e982b5a1f131c5774b5e814b38e60b32ad82a8b0","sha256:e1fcbd7f59ac95b7c2ed42f6877d6696faf4be16245cce5d66ae7eacf4ad3302"],"state_sha256":"8ec7262668a9518e1d7c94fea93b9a509c11870782dabd0ade2df5e512835254"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8QEkcOUQTnDgwl72SMdjAqa5IIbC1/r9IWl2F2tGXL007MDM0p4B4ChEtgrTPrsHnD/AzK71WaOIMMtyyHw5Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T16:42:48.230391Z","bundle_sha256":"48287794286cecad4052f1e164be06484bb04dca7186dad88f2bfc31890bc113"}}