{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:JILAZN7CPX552BWHRGIRNZYZ2H","short_pith_number":"pith:JILAZN7C","schema_version":"1.0","canonical_sha256":"4a160cb7e27dfbdd06c7899116e719d1cef6aa864ed6f51824812051e5174997","source":{"kind":"arxiv","id":"1402.3279","version":1},"attestation_state":"computed","paper":{"title":"Variations on Classical and Quantum Extractors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Mario Berta, Oleg Szehr, Omar Fawzi, Volkher B. Scholz","submitted_at":"2014-02-13T20:41:36Z","abstract_excerpt":"Many constructions of randomness extractors are known to work in the presence of quantum side information, but there also exist extractors which do not [Gavinsky {\\it et al.}, STOC'07]. Here we find that spectral extractors $\\psi$ with a bound on the second largest eigenvalue $\\lambda_{2}(\\psi^{\\dagger}\\circ\\psi)$ are quantum-proof. We then discuss fully quantum extractors and call constructions that also work in the presence of quantum correlations decoupling. As in the classical case we show that spectral extractors are decoupling. The drawback of classical and quantum spectral extractors is"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1402.3279","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-02-13T20:41:36Z","cross_cats_sorted":[],"title_canon_sha256":"b0a429168e80ab8951acd78ae2e3dc836ddb717b1611d6f65719cc707550b5df","abstract_canon_sha256":"761eacb603f77fce757a3f2fa65a7bdf26d1ff25a54ebe7c1e26159d299554f9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:03.962633Z","signature_b64":"RMwzwZT86ktxjnWqng7vGzF3YJgnx+kIiD9fxsH4oEJsh+976jAQAmpjoyBEbNIjNiw6v3elkMxbf6kP0ah5CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a160cb7e27dfbdd06c7899116e719d1cef6aa864ed6f51824812051e5174997","last_reissued_at":"2026-05-18T02:31:03.962031Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:03.962031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Variations on Classical and Quantum Extractors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Mario Berta, Oleg Szehr, Omar Fawzi, Volkher B. Scholz","submitted_at":"2014-02-13T20:41:36Z","abstract_excerpt":"Many constructions of randomness extractors are known to work in the presence of quantum side information, but there also exist extractors which do not [Gavinsky {\\it et al.}, STOC'07]. Here we find that spectral extractors $\\psi$ with a bound on the second largest eigenvalue $\\lambda_{2}(\\psi^{\\dagger}\\circ\\psi)$ are quantum-proof. We then discuss fully quantum extractors and call constructions that also work in the presence of quantum correlations decoupling. As in the classical case we show that spectral extractors are decoupling. The drawback of classical and quantum spectral extractors is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3279","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1402.3279","created_at":"2026-05-18T02:31:03.962099+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.3279v1","created_at":"2026-05-18T02:31:03.962099+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3279","created_at":"2026-05-18T02:31:03.962099+00:00"},{"alias_kind":"pith_short_12","alias_value":"JILAZN7CPX55","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_16","alias_value":"JILAZN7CPX552BWH","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_8","alias_value":"JILAZN7C","created_at":"2026-05-18T12:28:33.132498+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JILAZN7CPX552BWHRGIRNZYZ2H","json":"https://pith.science/pith/JILAZN7CPX552BWHRGIRNZYZ2H.json","graph_json":"https://pith.science/api/pith-number/JILAZN7CPX552BWHRGIRNZYZ2H/graph.json","events_json":"https://pith.science/api/pith-number/JILAZN7CPX552BWHRGIRNZYZ2H/events.json","paper":"https://pith.science/paper/JILAZN7C"},"agent_actions":{"view_html":"https://pith.science/pith/JILAZN7CPX552BWHRGIRNZYZ2H","download_json":"https://pith.science/pith/JILAZN7CPX552BWHRGIRNZYZ2H.json","view_paper":"https://pith.science/paper/JILAZN7C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.3279&json=true","fetch_graph":"https://pith.science/api/pith-number/JILAZN7CPX552BWHRGIRNZYZ2H/graph.json","fetch_events":"https://pith.science/api/pith-number/JILAZN7CPX552BWHRGIRNZYZ2H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JILAZN7CPX552BWHRGIRNZYZ2H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JILAZN7CPX552BWHRGIRNZYZ2H/action/storage_attestation","attest_author":"https://pith.science/pith/JILAZN7CPX552BWHRGIRNZYZ2H/action/author_attestation","sign_citation":"https://pith.science/pith/JILAZN7CPX552BWHRGIRNZYZ2H/action/citation_signature","submit_replication":"https://pith.science/pith/JILAZN7CPX552BWHRGIRNZYZ2H/action/replication_record"}},"created_at":"2026-05-18T02:31:03.962099+00:00","updated_at":"2026-05-18T02:31:03.962099+00:00"}