{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TUZ25BEJJP5YGL6HCQLWU3AITU","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":"c3d1688c0b3a29583809ab3a97a7bfb448efa30f3c1d308caacf90c3f7390ae0","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-07-13T14:56:38Z","title_canon_sha256":"7eefa2f3ad194b6a46043991994de18cc45003725c7e4c204184cf8e0d0cc7b4"},"schema_version":"1.0","source":{"id":"1207.3269","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.3269","created_at":"2026-05-18T02:39:17Z"},{"alias_kind":"arxiv_version","alias_value":"1207.3269v2","created_at":"2026-05-18T02:39:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.3269","created_at":"2026-05-18T02:39:17Z"},{"alias_kind":"pith_short_12","alias_value":"TUZ25BEJJP5Y","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TUZ25BEJJP5YGL6H","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TUZ25BEJ","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:84499e92db0cba06ad23ac7e66350dbaf2f26beebe68314f3e3fa0b1e60b3e73","target":"graph","created_at":"2026-05-18T02:39:17Z","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"},"paper":{"abstract_excerpt":"Recent increase in online privacy concerns prompts the following question: can a recommender system be accurate if users do not entrust it with their private data? To answer this, we study the problem of learning item-clusters under local differential privacy, a powerful, formal notion of data privacy. We develop bounds on the sample-complexity of learning item-clusters from privatized user inputs. Significantly, our results identify a sample-complexity separation between learning in an information-rich and an information-scarce regime, thereby highlighting the interaction between privacy and ","authors_text":"Laurent Massouli\\'e, Nidhi Hegde, Siddhartha Banerjee","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-07-13T14:56:38Z","title":"The Price of Privacy in Untrusted Recommendation Engines"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.3269","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:fe98f3500616311a7d43ee1e48b3ba0473d6db1daa8de41c9631742c5f2f0b28","target":"record","created_at":"2026-05-18T02:39:17Z","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":"c3d1688c0b3a29583809ab3a97a7bfb448efa30f3c1d308caacf90c3f7390ae0","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-07-13T14:56:38Z","title_canon_sha256":"7eefa2f3ad194b6a46043991994de18cc45003725c7e4c204184cf8e0d0cc7b4"},"schema_version":"1.0","source":{"id":"1207.3269","kind":"arxiv","version":2}},"canonical_sha256":"9d33ae84894bfb832fc714176a6c089d0873e6f252b9fcbcb373d89daa2e3359","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d33ae84894bfb832fc714176a6c089d0873e6f252b9fcbcb373d89daa2e3359","first_computed_at":"2026-05-18T02:39:17.370418Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:17.370418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"69U4/f+TrhrnRfadopBkzp4KVc8vP2iCEfp/fcBv81RMtQ5hJ0r036wr6OZP2dNpRntkjmpJO7/TwUmLz3gDCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:17.370844Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.3269","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe98f3500616311a7d43ee1e48b3ba0473d6db1daa8de41c9631742c5f2f0b28","sha256:84499e92db0cba06ad23ac7e66350dbaf2f26beebe68314f3e3fa0b1e60b3e73"],"state_sha256":"ce89a179577ba7bc52d689886c4c5f6264741993e7e1d4ceb20861b92582dcb1"}