{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AN32JQDIETXH6YQAP7AJSW2XOQ","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":"01df06860c36417b06c9fd23a24eb4b5dbdefcf3df3897032242146e22684d85","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-02-22T15:29:54Z","title_canon_sha256":"468617b86303c30e2d0c9128399ce561553282e141772c5c96a657dd11333e01"},"schema_version":"1.0","source":{"id":"1702.06845","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.06845","created_at":"2026-05-18T00:35:34Z"},{"alias_kind":"arxiv_version","alias_value":"1702.06845v3","created_at":"2026-05-18T00:35:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.06845","created_at":"2026-05-18T00:35:34Z"},{"alias_kind":"pith_short_12","alias_value":"AN32JQDIETXH","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AN32JQDIETXH6YQA","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AN32JQDI","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:b067960513870732ea3b7c0c2077b52a14b0c51ecfe4e48dfb73e1d557ee24e9","target":"graph","created_at":"2026-05-18T00:35:34Z","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 consider the problem of certifying binary observables based on a Bell inequality violation alone, a task known as self-testing of measurements. We introduce a family of commutation-based measures, which encode all the distinct arrangements of two projective observables on a qubit. These quantities by construction take into account the usual limitations of self-testing and since they are \"weighted\" by the (reduced) state, they automatically deal with rank-deficient reduced density matrices. We show that these measures can be estimated from the observed Bell violation in several scenarios and","authors_text":"J\\k{e}drzej Kaniewski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-02-22T15:29:54Z","title":"Self-testing of binary observables based on commutation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06845","kind":"arxiv","version":3},"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":"sha256:539e7bafbf6c43b1739d907908640760d779dd9684d853538aa87b7086d9c2e0","target":"record","created_at":"2026-05-18T00:35:34Z","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":"01df06860c36417b06c9fd23a24eb4b5dbdefcf3df3897032242146e22684d85","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-02-22T15:29:54Z","title_canon_sha256":"468617b86303c30e2d0c9128399ce561553282e141772c5c96a657dd11333e01"},"schema_version":"1.0","source":{"id":"1702.06845","kind":"arxiv","version":3}},"canonical_sha256":"0377a4c06824ee7f62007fc0995b57740636c35cb6b8b99a93f03ed5ab9b7a2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0377a4c06824ee7f62007fc0995b57740636c35cb6b8b99a93f03ed5ab9b7a2b","first_computed_at":"2026-05-18T00:35:34.662233Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:34.662233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J5FyEu13CqNlrvmvvULOUl/NEHLmuYfZED2dx/BYBJzrQ/o6dM8DSW5loZJOUhNtEEEKiI1WcHPJpp7QCoDzBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:34.662785Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.06845","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:539e7bafbf6c43b1739d907908640760d779dd9684d853538aa87b7086d9c2e0","sha256:b067960513870732ea3b7c0c2077b52a14b0c51ecfe4e48dfb73e1d557ee24e9"],"state_sha256":"4f597b37fa47c6a6b63fa2e283eb024e6d8bf582be6385608282527692b89f63"}