{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:RPP26X2J5X5Y7QV3FSPNCNUIZN","short_pith_number":"pith:RPP26X2J","canonical_record":{"source":{"id":"2305.03609","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-05-05T15:15:04Z","cross_cats_sorted":["cs.CG","cs.CR","cs.LG","math.AT"],"title_canon_sha256":"226c9a13690d06e56c433a5115e6aa9af05318fc32f353ec281ffbdcb2fb9bd3","abstract_canon_sha256":"7f9807a0e583b0abb587cd111102c945c3c35b2eaeb0fba142e73ad861e5f366"},"schema_version":"1.0"},"canonical_sha256":"8bdfaf5f49edfb8fc2bb2c9ed13688cb55871a738a314fde8e338483f923b132","source":{"kind":"arxiv","id":"2305.03609","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.03609","created_at":"2026-07-05T07:08:41Z"},{"alias_kind":"arxiv_version","alias_value":"2305.03609v2","created_at":"2026-07-05T07:08:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.03609","created_at":"2026-07-05T07:08:41Z"},{"alias_kind":"pith_short_12","alias_value":"RPP26X2J5X5Y","created_at":"2026-07-05T07:08:41Z"},{"alias_kind":"pith_short_16","alias_value":"RPP26X2J5X5Y7QV3","created_at":"2026-07-05T07:08:41Z"},{"alias_kind":"pith_short_8","alias_value":"RPP26X2J","created_at":"2026-07-05T07:08:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:RPP26X2J5X5Y7QV3FSPNCNUIZN","target":"record","payload":{"canonical_record":{"source":{"id":"2305.03609","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-05-05T15:15:04Z","cross_cats_sorted":["cs.CG","cs.CR","cs.LG","math.AT"],"title_canon_sha256":"226c9a13690d06e56c433a5115e6aa9af05318fc32f353ec281ffbdcb2fb9bd3","abstract_canon_sha256":"7f9807a0e583b0abb587cd111102c945c3c35b2eaeb0fba142e73ad861e5f366"},"schema_version":"1.0"},"canonical_sha256":"8bdfaf5f49edfb8fc2bb2c9ed13688cb55871a738a314fde8e338483f923b132","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:08:41.422355Z","signature_b64":"WKcaSPc4/Oagji1J+04XMSLxLtSLiR3hWovNxW1mWZzpyrElXT4j4tDu/WyAT73PqziGahk3MIn1BuCLqL/fDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8bdfaf5f49edfb8fc2bb2c9ed13688cb55871a738a314fde8e338483f923b132","last_reissued_at":"2026-07-05T07:08:41.421814Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:08:41.421814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.03609","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:08:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F4/kCqqQhtj1LF9yTelxjzzD4xnDuQAFB3FaLFaLa9Wc8keTJFp3rSANGwlP8bqR4KwhPZioZozVroc7i5mxDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T22:05:17.371704Z"},"content_sha256":"055cc90fbfecf9953d5b959742026a36b0f7b8a38869541dd5ef5d59e1addf4d","schema_version":"1.0","event_id":"sha256:055cc90fbfecf9953d5b959742026a36b0f7b8a38869541dd5ef5d59e1addf4d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:RPP26X2J5X5Y7QV3FSPNCNUIZN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Differentially Private Topological Data Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CG","cs.CR","cs.LG","math.AT"],"primary_cat":"stat.ML","authors_text":"Jinwon Sohn, Jordan Awan, Sehwan Kim, Taegyu Kang","submitted_at":"2023-05-05T15:15:04Z","abstract_excerpt":"This paper is the first to attempt differentially private (DP) topological data analysis (TDA), producing near-optimal private persistence diagrams. We analyze the sensitivity of persistence diagrams in terms of the bottleneck distance, and we show that the commonly used \\v{C}ech complex has sensitivity that does not decrease as the sample size $n$ increases. This makes it challenging for the persistence diagrams of \\v{C}ech complexes to be privatized. As an alternative, we show that the persistence diagram obtained by the $L^1$-distance to measure (DTM) has sensitivity $O(1/n)$. Based on the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.03609","kind":"arxiv","version":2},"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/2305.03609/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":"2026-07-05T07:08:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M7pMW0ebEevMCO/1iSF9C1RVWPUT43nQe+Rm+v/oLUlbe8ORhFRihX3IBmkmi9uqbuDCi31NqQmCFnePm7bWAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T22:05:17.372255Z"},"content_sha256":"ee44847c0e883e0d3f93c99ea9bf2cb1cb1f56ac91547b8566b41144ee682e92","schema_version":"1.0","event_id":"sha256:ee44847c0e883e0d3f93c99ea9bf2cb1cb1f56ac91547b8566b41144ee682e92"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RPP26X2J5X5Y7QV3FSPNCNUIZN/bundle.json","state_url":"https://pith.science/pith/RPP26X2J5X5Y7QV3FSPNCNUIZN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RPP26X2J5X5Y7QV3FSPNCNUIZN/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":"2026-08-23T22:05:17Z","links":{"resolver":"https://pith.science/pith/RPP26X2J5X5Y7QV3FSPNCNUIZN","bundle":"https://pith.science/pith/RPP26X2J5X5Y7QV3FSPNCNUIZN/bundle.json","state":"https://pith.science/pith/RPP26X2J5X5Y7QV3FSPNCNUIZN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RPP26X2J5X5Y7QV3FSPNCNUIZN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RPP26X2J5X5Y7QV3FSPNCNUIZN","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":"7f9807a0e583b0abb587cd111102c945c3c35b2eaeb0fba142e73ad861e5f366","cross_cats_sorted":["cs.CG","cs.CR","cs.LG","math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-05-05T15:15:04Z","title_canon_sha256":"226c9a13690d06e56c433a5115e6aa9af05318fc32f353ec281ffbdcb2fb9bd3"},"schema_version":"1.0","source":{"id":"2305.03609","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.03609","created_at":"2026-07-05T07:08:41Z"},{"alias_kind":"arxiv_version","alias_value":"2305.03609v2","created_at":"2026-07-05T07:08:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.03609","created_at":"2026-07-05T07:08:41Z"},{"alias_kind":"pith_short_12","alias_value":"RPP26X2J5X5Y","created_at":"2026-07-05T07:08:41Z"},{"alias_kind":"pith_short_16","alias_value":"RPP26X2J5X5Y7QV3","created_at":"2026-07-05T07:08:41Z"},{"alias_kind":"pith_short_8","alias_value":"RPP26X2J","created_at":"2026-07-05T07:08:41Z"}],"graph_snapshots":[{"event_id":"sha256:ee44847c0e883e0d3f93c99ea9bf2cb1cb1f56ac91547b8566b41144ee682e92","target":"graph","created_at":"2026-07-05T07:08:41Z","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/2305.03609/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper is the first to attempt differentially private (DP) topological data analysis (TDA), producing near-optimal private persistence diagrams. We analyze the sensitivity of persistence diagrams in terms of the bottleneck distance, and we show that the commonly used \\v{C}ech complex has sensitivity that does not decrease as the sample size $n$ increases. This makes it challenging for the persistence diagrams of \\v{C}ech complexes to be privatized. As an alternative, we show that the persistence diagram obtained by the $L^1$-distance to measure (DTM) has sensitivity $O(1/n)$. Based on the ","authors_text":"Jinwon Sohn, Jordan Awan, Sehwan Kim, Taegyu Kang","cross_cats":["cs.CG","cs.CR","cs.LG","math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-05-05T15:15:04Z","title":"Differentially Private Topological Data Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.03609","kind":"arxiv","version":2},"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":"sha256:055cc90fbfecf9953d5b959742026a36b0f7b8a38869541dd5ef5d59e1addf4d","target":"record","created_at":"2026-07-05T07:08:41Z","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":"7f9807a0e583b0abb587cd111102c945c3c35b2eaeb0fba142e73ad861e5f366","cross_cats_sorted":["cs.CG","cs.CR","cs.LG","math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-05-05T15:15:04Z","title_canon_sha256":"226c9a13690d06e56c433a5115e6aa9af05318fc32f353ec281ffbdcb2fb9bd3"},"schema_version":"1.0","source":{"id":"2305.03609","kind":"arxiv","version":2}},"canonical_sha256":"8bdfaf5f49edfb8fc2bb2c9ed13688cb55871a738a314fde8e338483f923b132","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8bdfaf5f49edfb8fc2bb2c9ed13688cb55871a738a314fde8e338483f923b132","first_computed_at":"2026-07-05T07:08:41.421814Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:08:41.421814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WKcaSPc4/Oagji1J+04XMSLxLtSLiR3hWovNxW1mWZzpyrElXT4j4tDu/WyAT73PqziGahk3MIn1BuCLqL/fDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:08:41.422355Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.03609","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:055cc90fbfecf9953d5b959742026a36b0f7b8a38869541dd5ef5d59e1addf4d","sha256:ee44847c0e883e0d3f93c99ea9bf2cb1cb1f56ac91547b8566b41144ee682e92"],"state_sha256":"5f1f06b6f4ae9e998d5c77b96b33425dde16160f493fe24ed91dd1bfa8966468"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FJ4DywrSR/mUL/FTMoC6KCymxxog6zLjMwfHJN7rgnrZmBTTb/1u3IkNA5zzyXzdsSAclbqBfMhOZ9CQ5aaiBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T22:05:17.377338Z","bundle_sha256":"aa844f4bd7cf1d1e5003bd26580ff6a79fbf009365e5fdef7e6cf200dcb935f0"}}