{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:XIUAE3LEW3JVROHF54J4LGSODR","short_pith_number":"pith:XIUAE3LE","canonical_record":{"source":{"id":"2504.17274","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-04-24T06:02:02Z","cross_cats_sorted":["math.ST","stat.ML","stat.TH"],"title_canon_sha256":"0459ab9ef2a761ed188b7889c3e651c34412f8067ff94087d09ce4f16b792ffc","abstract_canon_sha256":"783f68b786874f173a0d72fffb21f12c3db3b5460c5044e7a090a1d58a89022c"},"schema_version":"1.0"},"canonical_sha256":"ba28026d64b6d358b8e5ef13c59a4e1c62258570d2f673f46f23ec0ebf843e4e","source":{"kind":"arxiv","id":"2504.17274","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.17274","created_at":"2026-07-05T10:53:25Z"},{"alias_kind":"arxiv_version","alias_value":"2504.17274v1","created_at":"2026-07-05T10:53:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.17274","created_at":"2026-07-05T10:53:25Z"},{"alias_kind":"pith_short_12","alias_value":"XIUAE3LEW3JV","created_at":"2026-07-05T10:53:25Z"},{"alias_kind":"pith_short_16","alias_value":"XIUAE3LEW3JVROHF","created_at":"2026-07-05T10:53:25Z"},{"alias_kind":"pith_short_8","alias_value":"XIUAE3LE","created_at":"2026-07-05T10:53:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:XIUAE3LEW3JVROHF54J4LGSODR","target":"record","payload":{"canonical_record":{"source":{"id":"2504.17274","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-04-24T06:02:02Z","cross_cats_sorted":["math.ST","stat.ML","stat.TH"],"title_canon_sha256":"0459ab9ef2a761ed188b7889c3e651c34412f8067ff94087d09ce4f16b792ffc","abstract_canon_sha256":"783f68b786874f173a0d72fffb21f12c3db3b5460c5044e7a090a1d58a89022c"},"schema_version":"1.0"},"canonical_sha256":"ba28026d64b6d358b8e5ef13c59a4e1c62258570d2f673f46f23ec0ebf843e4e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:53:25.676623Z","signature_b64":"q5RXkVb4Z0U085bwcLw4cWdfm5OZi2j60m0FGgUMB/KtlDBRI3i4Srncopc/dD86wy4bZ+zg1AplcPtKcnP2DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba28026d64b6d358b8e5ef13c59a4e1c62258570d2f673f46f23ec0ebf843e4e","last_reissued_at":"2026-07-05T10:53:25.676049Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:53:25.676049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.17274","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":"2026-07-05T10:53:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LAbM3/DL3h4MkzyziiY6Elk9FZfXJvemA/KlnIY8M7ndqquB3hDKmchvPC0KpvxCS0hIc4ceGoBl70xTLZn3BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T18:51:18.075275Z"},"content_sha256":"0d83eb1acc3076bb551915f640cd5640b50ead271f7c7eca7d6700d8a1ad7a24","schema_version":"1.0","event_id":"sha256:0d83eb1acc3076bb551915f640cd5640b50ead271f7c7eca7d6700d8a1ad7a24"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:XIUAE3LEW3JVROHF54J4LGSODR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Signal Recovery from Random Dot-Product Graphs Under Local Differential Privacy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.ML","stat.TH"],"primary_cat":"cs.LG","authors_text":"Jonathan Hehir, Siddharth Vishwanath","submitted_at":"2025-04-24T06:02:02Z","abstract_excerpt":"We consider the problem of recovering latent information from graphs under $\\varepsilon$-edge local differential privacy where the presence of relationships/edges between two users/vertices remains confidential, even from the data curator. For the class of generalized random dot-product graphs, we show that a standard local differential privacy mechanism induces a specific geometric distortion in the latent positions. Leveraging this insight, we show that consistent recovery of the latent positions is achievable by appropriately adjusting the statistical inference procedure for the privatized "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.17274","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/2504.17274/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":"2026-07-05T10:53:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zE9V1OEvc5aYQyIC3qt7h5BahtqxKsINPHk0nqcJdJLJHl6/ZCgH/aQ1P+qsohfnulSB3CA4PNW89VYcKxaCBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T18:51:18.076257Z"},"content_sha256":"8760155138dd4dca518511a9f8e4c692a2318f773d2d6be6036c8bac8f914569","schema_version":"1.0","event_id":"sha256:8760155138dd4dca518511a9f8e4c692a2318f773d2d6be6036c8bac8f914569"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XIUAE3LEW3JVROHF54J4LGSODR/bundle.json","state_url":"https://pith.science/pith/XIUAE3LEW3JVROHF54J4LGSODR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XIUAE3LEW3JVROHF54J4LGSODR/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":"2026-08-18T18:51:18Z","links":{"resolver":"https://pith.science/pith/XIUAE3LEW3JVROHF54J4LGSODR","bundle":"https://pith.science/pith/XIUAE3LEW3JVROHF54J4LGSODR/bundle.json","state":"https://pith.science/pith/XIUAE3LEW3JVROHF54J4LGSODR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XIUAE3LEW3JVROHF54J4LGSODR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:XIUAE3LEW3JVROHF54J4LGSODR","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":"783f68b786874f173a0d72fffb21f12c3db3b5460c5044e7a090a1d58a89022c","cross_cats_sorted":["math.ST","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-04-24T06:02:02Z","title_canon_sha256":"0459ab9ef2a761ed188b7889c3e651c34412f8067ff94087d09ce4f16b792ffc"},"schema_version":"1.0","source":{"id":"2504.17274","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.17274","created_at":"2026-07-05T10:53:25Z"},{"alias_kind":"arxiv_version","alias_value":"2504.17274v1","created_at":"2026-07-05T10:53:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.17274","created_at":"2026-07-05T10:53:25Z"},{"alias_kind":"pith_short_12","alias_value":"XIUAE3LEW3JV","created_at":"2026-07-05T10:53:25Z"},{"alias_kind":"pith_short_16","alias_value":"XIUAE3LEW3JVROHF","created_at":"2026-07-05T10:53:25Z"},{"alias_kind":"pith_short_8","alias_value":"XIUAE3LE","created_at":"2026-07-05T10:53:25Z"}],"graph_snapshots":[{"event_id":"sha256:8760155138dd4dca518511a9f8e4c692a2318f773d2d6be6036c8bac8f914569","target":"graph","created_at":"2026-07-05T10:53:25Z","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/2504.17274/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the problem of recovering latent information from graphs under $\\varepsilon$-edge local differential privacy where the presence of relationships/edges between two users/vertices remains confidential, even from the data curator. For the class of generalized random dot-product graphs, we show that a standard local differential privacy mechanism induces a specific geometric distortion in the latent positions. Leveraging this insight, we show that consistent recovery of the latent positions is achievable by appropriately adjusting the statistical inference procedure for the privatized ","authors_text":"Jonathan Hehir, Siddharth Vishwanath","cross_cats":["math.ST","stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-04-24T06:02:02Z","title":"Signal Recovery from Random Dot-Product Graphs Under Local Differential Privacy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.17274","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":"sha256:0d83eb1acc3076bb551915f640cd5640b50ead271f7c7eca7d6700d8a1ad7a24","target":"record","created_at":"2026-07-05T10:53:25Z","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":"783f68b786874f173a0d72fffb21f12c3db3b5460c5044e7a090a1d58a89022c","cross_cats_sorted":["math.ST","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-04-24T06:02:02Z","title_canon_sha256":"0459ab9ef2a761ed188b7889c3e651c34412f8067ff94087d09ce4f16b792ffc"},"schema_version":"1.0","source":{"id":"2504.17274","kind":"arxiv","version":1}},"canonical_sha256":"ba28026d64b6d358b8e5ef13c59a4e1c62258570d2f673f46f23ec0ebf843e4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba28026d64b6d358b8e5ef13c59a4e1c62258570d2f673f46f23ec0ebf843e4e","first_computed_at":"2026-07-05T10:53:25.676049Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:53:25.676049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q5RXkVb4Z0U085bwcLw4cWdfm5OZi2j60m0FGgUMB/KtlDBRI3i4Srncopc/dD86wy4bZ+zg1AplcPtKcnP2DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:53:25.676623Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.17274","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d83eb1acc3076bb551915f640cd5640b50ead271f7c7eca7d6700d8a1ad7a24","sha256:8760155138dd4dca518511a9f8e4c692a2318f773d2d6be6036c8bac8f914569"],"state_sha256":"93ff438095947b8b26265207787900670194be9345799d2b3bbdf176e70e16e8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qLOdHqsCjKOWesgLvTj5f25cncYuLIS8qa6I3yveUyzynXH83tVNkxBvQTKZM2ZA73y4yqC3uEvzYWA0DF1DBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T18:51:18.083451Z","bundle_sha256":"acc36b2ddb999a2f1b36769dcc1a380850fc4499898b6ab3f5677f6a58a7bcf4"}}