{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7DEDPRR5VI3TRWRFZHMIGUD4YC","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":"9290ad8655ecdd48941d408ec2085a075732fb06439c9384ae538187aaeb7363","cross_cats_sorted":["cs.CC","cs.CR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2011-06-14T06:30:29Z","title_canon_sha256":"c48cc6455b14ed2cbd8bb0b35fc45bd2fd402b6ff59953e35a2f8f063998fcdd"},"schema_version":"1.0","source":{"id":"1106.2619","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.2619","created_at":"2026-05-18T04:19:52Z"},{"alias_kind":"arxiv_version","alias_value":"1106.2619v2","created_at":"2026-05-18T04:19:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.2619","created_at":"2026-05-18T04:19:52Z"},{"alias_kind":"pith_short_12","alias_value":"7DEDPRR5VI3T","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7DEDPRR5VI3TRWRF","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7DEDPRR5","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:006588e0d9088d0f784d8ca05d42167f4a415b94644107c7dbb233b153fdaf5a","target":"graph","created_at":"2026-05-18T04:19:52Z","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":"We give a polynomial time Turing reduction from the $\\gamma^2\\sqrt{n}$-approximate closest vector problem on a lattice of dimension $n$ to a $\\gamma$-approximate oracle for the shortest vector problem. This is an improvement over a reduction by Kannan, which achieved $\\gamma^2n^{3/2}$.","authors_text":"Chandan Dubey, Thomas Holenstein","cross_cats":["cs.CC","cs.CR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2011-06-14T06:30:29Z","title":"Approximating the Closest Vector Problem Using an Approximate Shortest Vector Oracle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2619","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:a8e7c6b2392244340e2f7a62f8fefadb620b107ddb3c1c274281c54738c9ab24","target":"record","created_at":"2026-05-18T04:19:52Z","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":"9290ad8655ecdd48941d408ec2085a075732fb06439c9384ae538187aaeb7363","cross_cats_sorted":["cs.CC","cs.CR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2011-06-14T06:30:29Z","title_canon_sha256":"c48cc6455b14ed2cbd8bb0b35fc45bd2fd402b6ff59953e35a2f8f063998fcdd"},"schema_version":"1.0","source":{"id":"1106.2619","kind":"arxiv","version":2}},"canonical_sha256":"f8c837c63daa3738da25c9d883507cc096009827781d912a9bd3516e5c2ea377","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8c837c63daa3738da25c9d883507cc096009827781d912a9bd3516e5c2ea377","first_computed_at":"2026-05-18T04:19:52.993733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:52.993733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vJotn7b8dd9d7Y73FbNBJXVK3lZSza+lhjoutPHbN1ttM2IL+hgnvexFkfwPYlul+9tolW1UiQ6C54zI4/9ICQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:52.994402Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.2619","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8e7c6b2392244340e2f7a62f8fefadb620b107ddb3c1c274281c54738c9ab24","sha256:006588e0d9088d0f784d8ca05d42167f4a415b94644107c7dbb233b153fdaf5a"],"state_sha256":"76261c5ed5224dca229e32e0a41ca46c77a8a15ce3966e3b21fe64bc87d8a9e3"}