{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZX5DAOTZHSWSGFPYSJ6YFJDKID","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":"ca094c6a215921381da0533454e43a54fc6bc443b650ac2c1021083c2635fee2","cross_cats_sorted":["cs.CR","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-02-15T00:55:46Z","title_canon_sha256":"e415a49a0729135b109472d060b763d604a72e6dd3aebf929dad14a80f6d94fa"},"schema_version":"1.0","source":{"id":"1402.3631","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3631","created_at":"2026-05-18T00:21:00Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3631v2","created_at":"2026-05-18T00:21:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3631","created_at":"2026-05-18T00:21:00Z"},{"alias_kind":"pith_short_12","alias_value":"ZX5DAOTZHSWS","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZX5DAOTZHSWSGFPY","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZX5DAOTZ","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:efd26687f4552f81f6f70097064b066e5f82388619d5a290f5600b1d7e6be670","target":"graph","created_at":"2026-05-18T00:21:00Z","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":"In this paper, we initiate the systematic study of solving linear programs under differential privacy. The first step is simply to define the problem: to this end, we introduce several natural classes of private linear programs that capture different ways sensitive data can be incorporated into a linear program. For each class of linear programs we give an efficient, differentially private solver based on the multiplicative weights framework, or we give an impossibility result.","authors_text":"Aaron Roth, Jonathan Ullman, Justin Hsu, Tim Roughgarden","cross_cats":["cs.CR","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-02-15T00:55:46Z","title":"Privately Solving Linear Programs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3631","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":"sha256:6d9454b56ec8e51cd32a2cedd7120c1b3fefb4e151201cd5268d10d0aab10298","target":"record","created_at":"2026-05-18T00:21:00Z","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":"ca094c6a215921381da0533454e43a54fc6bc443b650ac2c1021083c2635fee2","cross_cats_sorted":["cs.CR","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-02-15T00:55:46Z","title_canon_sha256":"e415a49a0729135b109472d060b763d604a72e6dd3aebf929dad14a80f6d94fa"},"schema_version":"1.0","source":{"id":"1402.3631","kind":"arxiv","version":2}},"canonical_sha256":"cdfa303a793cad2315f8927d82a46a40d86a5c8751adfead6f065ede91b61060","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdfa303a793cad2315f8927d82a46a40d86a5c8751adfead6f065ede91b61060","first_computed_at":"2026-05-18T00:21:00.940962Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:00.940962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f5KB0naQXSp9/Fl57iWLJeoIdlZG0n3UVjbUkJOqS/6iUY7fTgA+VasHOqpb5TwTyflQ5pUhZB2nSXeo6XA6DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:00.941508Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.3631","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d9454b56ec8e51cd32a2cedd7120c1b3fefb4e151201cd5268d10d0aab10298","sha256:efd26687f4552f81f6f70097064b066e5f82388619d5a290f5600b1d7e6be670"],"state_sha256":"dc8dc93d5a93440630d3751c36a6196d225c3aa52db71c81221dfcd135d26987"}