{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:Y2BOGJBF3SVVJB2FPZSYI5IECM","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":"5de2280d8b20a35872e81f25b0c3fe1364318fb2c5e9e7445ebfcf24884d31af","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-13T14:42:05Z","title_canon_sha256":"70f4bbb5f15a6bd834f06794f72cafd7d579d54920bc911b0e2a6eb3c6cb2a0e"},"schema_version":"1.0","source":{"id":"1605.04194","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.04194","created_at":"2026-05-18T01:10:14Z"},{"alias_kind":"arxiv_version","alias_value":"1605.04194v2","created_at":"2026-05-18T01:10:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.04194","created_at":"2026-05-18T01:10:14Z"},{"alias_kind":"pith_short_12","alias_value":"Y2BOGJBF3SVV","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"Y2BOGJBF3SVVJB2F","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"Y2BOGJBF","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:40600f4ef1e0376946aa19415675f61765ba285d18920cce18eab65d2fc83adc","target":"graph","created_at":"2026-05-18T01:10:14Z","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 the first construction of a family of quantum-proof extractors that has optimal seed length dependence $O(\\log(n/\\varepsilon))$ on the input length $n$ and error $\\varepsilon$. Our extractors support any min-entropy $k=\\Omega(\\log{n} + \\log^{1+\\alpha}(1/\\varepsilon))$ and extract $m=(1-\\alpha)k$ bits that are $\\varepsilon$-close to uniform, for any desired constant $\\alpha > 0$. Previous constructions had a quadratically worse seed length or were restricted to very large input min-entropy or very few output bits.\n  Our result is based on a generic reduction showing that any strong clas","authors_text":"Gil Cohen, Kai-Min Chung, Thomas Vidick, Xiaodi Wu","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-13T14:42:05Z","title":"Quantum-Proof Extractors: Optimal up to Constant Factors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.04194","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:cb7eb006e2d09cc15971b119d7dd03cc73de5b5c13698f73c8ed98dd448be2a4","target":"record","created_at":"2026-05-18T01:10:14Z","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":"5de2280d8b20a35872e81f25b0c3fe1364318fb2c5e9e7445ebfcf24884d31af","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-13T14:42:05Z","title_canon_sha256":"70f4bbb5f15a6bd834f06794f72cafd7d579d54920bc911b0e2a6eb3c6cb2a0e"},"schema_version":"1.0","source":{"id":"1605.04194","kind":"arxiv","version":2}},"canonical_sha256":"c682e32425dcab5487457e65847504131fd5b56f1e5400bf3a3e6a5efb520a5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c682e32425dcab5487457e65847504131fd5b56f1e5400bf3a3e6a5efb520a5a","first_computed_at":"2026-05-18T01:10:14.358255Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:14.358255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BVvTjl/uCKwXt2VcpjdkoPxU3UTRyMDKOlBszQvyrW57x0iGHfSfzvfqob1rTnZ1TA3Qrg/BGEEXsXrn3qLVCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:14.358775Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.04194","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb7eb006e2d09cc15971b119d7dd03cc73de5b5c13698f73c8ed98dd448be2a4","sha256:40600f4ef1e0376946aa19415675f61765ba285d18920cce18eab65d2fc83adc"],"state_sha256":"1b73d5662ce7a2790a84a6b83ff6d28174dcc70805985434521d261ff1628f6b"}