{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:7ABE4TM43SQHW74GS22MRINELZ","short_pith_number":"pith:7ABE4TM4","schema_version":"1.0","canonical_sha256":"f8024e4d9cdca07b7f8696b4c8a1a45e6b5acb14947a51cc26e61f48151a398c","source":{"kind":"arxiv","id":"1609.09584","version":4},"attestation_state":"computed","paper":{"title":"Self-testing in parallel with CHSH","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Matthew McKague","submitted_at":"2016-09-30T03:43:30Z","abstract_excerpt":"Self-testing allows classical referees to verify the quantum behaviour of some untrusted devices. Recently we developed a framework for building large self-tests by repeating a smaller self-test many times in parallel. However, the framework did not apply to the CHSH test, which tests a maximally entangled pair of qubits. CHSH is the most well known and widely used test of this type. Here we extend the parallel self-testing framework to build parallel CHSH self-tests for any number of pairs of maximally entangled qubits. Our construction achieves an error bound which is polynomial in the numbe"},"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":"1609.09584","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2016-09-30T03:43:30Z","cross_cats_sorted":[],"title_canon_sha256":"1e16c5fe207561c9267e3e4441f8a70eaddcb662f5a3c93c00414ed5b1da7537","abstract_canon_sha256":"e4d23bbb23d836a2b19f906f5ebb6f95ffc78f50adb5b1819ab13c6b49b5a706"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:59.415965Z","signature_b64":"m2cfi1aUk9MBLni0tbTleuWAkVC+dRUSM8c+/v/vU8DzTvimgorkwcmhSs6wL7wBBaxc7p4D3WaoINtBYTJNBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8024e4d9cdca07b7f8696b4c8a1a45e6b5acb14947a51cc26e61f48151a398c","last_reissued_at":"2026-05-18T00:50:59.415465Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:59.415465Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Self-testing in parallel with CHSH","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Matthew McKague","submitted_at":"2016-09-30T03:43:30Z","abstract_excerpt":"Self-testing allows classical referees to verify the quantum behaviour of some untrusted devices. Recently we developed a framework for building large self-tests by repeating a smaller self-test many times in parallel. However, the framework did not apply to the CHSH test, which tests a maximally entangled pair of qubits. CHSH is the most well known and widely used test of this type. Here we extend the parallel self-testing framework to build parallel CHSH self-tests for any number of pairs of maximally entangled qubits. Our construction achieves an error bound which is polynomial in the numbe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.09584","kind":"arxiv","version":4},"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":"1609.09584","created_at":"2026-05-18T00:50:59.415548+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.09584v4","created_at":"2026-05-18T00:50:59.415548+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.09584","created_at":"2026-05-18T00:50:59.415548+00:00"},{"alias_kind":"pith_short_12","alias_value":"7ABE4TM43SQH","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_16","alias_value":"7ABE4TM43SQHW74G","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_8","alias_value":"7ABE4TM4","created_at":"2026-05-18T12:30:04.600751+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/7ABE4TM43SQHW74GS22MRINELZ","json":"https://pith.science/pith/7ABE4TM43SQHW74GS22MRINELZ.json","graph_json":"https://pith.science/api/pith-number/7ABE4TM43SQHW74GS22MRINELZ/graph.json","events_json":"https://pith.science/api/pith-number/7ABE4TM43SQHW74GS22MRINELZ/events.json","paper":"https://pith.science/paper/7ABE4TM4"},"agent_actions":{"view_html":"https://pith.science/pith/7ABE4TM43SQHW74GS22MRINELZ","download_json":"https://pith.science/pith/7ABE4TM43SQHW74GS22MRINELZ.json","view_paper":"https://pith.science/paper/7ABE4TM4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.09584&json=true","fetch_graph":"https://pith.science/api/pith-number/7ABE4TM43SQHW74GS22MRINELZ/graph.json","fetch_events":"https://pith.science/api/pith-number/7ABE4TM43SQHW74GS22MRINELZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7ABE4TM43SQHW74GS22MRINELZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7ABE4TM43SQHW74GS22MRINELZ/action/storage_attestation","attest_author":"https://pith.science/pith/7ABE4TM43SQHW74GS22MRINELZ/action/author_attestation","sign_citation":"https://pith.science/pith/7ABE4TM43SQHW74GS22MRINELZ/action/citation_signature","submit_replication":"https://pith.science/pith/7ABE4TM43SQHW74GS22MRINELZ/action/replication_record"}},"created_at":"2026-05-18T00:50:59.415548+00:00","updated_at":"2026-05-18T00:50:59.415548+00:00"}