{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:D3PERAIVWPKRA3OJN3QA52UGED","short_pith_number":"pith:D3PERAIV","schema_version":"1.0","canonical_sha256":"1ede488115b3d5106dc96ee00eea8620f79154a167f3861ee141c28b0b98d488","source":{"kind":"arxiv","id":"1606.09514","version":3},"attestation_state":"computed","paper":{"title":"Robust Bell inequalities from communication complexity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"quant-ph","authors_text":"Alexandre Nolin, Gabriel Senno, J\\'er\\'emie Roland, Mathieu Lauri\\`ere, Sophie Laplante","submitted_at":"2016-06-30T14:40:58Z","abstract_excerpt":"The question of how large Bell inequality violations can be, for quantum distributions, has been the object of much work in the past several years. We say that a Bell inequality is normalized if its absolute value does not exceed 1 for any classical (i.e. local) distribution. Upper and (almost) tight lower bounds have been given for the quantum violation of these Bell inequalities in terms of number of outputs of the distribution, number of inputs, and the dimension of the shared quantum states. In this work, we revisit normalized Bell inequalities together with another family: inefficiency-re"},"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":"1606.09514","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2016-06-30T14:40:58Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"2a2291a843a60e43f5ab79beeaa0cd94dfab6170929943bcc607217cfcda7d7a","abstract_canon_sha256":"2231cecd39b59d8a6e159170fcf09b768d84a6f2d6b8cf8a6be3e559dd08237d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:53.661415Z","signature_b64":"rdahV2f6BNrZ5064SG3AogDIGWdtFX3ba8v1HIsQrrsDtcXfRyFdrzj6skSH7ZovZJcRFAII1Z2Jw8X26ggKAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ede488115b3d5106dc96ee00eea8620f79154a167f3861ee141c28b0b98d488","last_reissued_at":"2026-05-18T00:13:53.660726Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:53.660726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Robust Bell inequalities from communication complexity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"quant-ph","authors_text":"Alexandre Nolin, Gabriel Senno, J\\'er\\'emie Roland, Mathieu Lauri\\`ere, Sophie Laplante","submitted_at":"2016-06-30T14:40:58Z","abstract_excerpt":"The question of how large Bell inequality violations can be, for quantum distributions, has been the object of much work in the past several years. We say that a Bell inequality is normalized if its absolute value does not exceed 1 for any classical (i.e. local) distribution. Upper and (almost) tight lower bounds have been given for the quantum violation of these Bell inequalities in terms of number of outputs of the distribution, number of inputs, and the dimension of the shared quantum states. In this work, we revisit normalized Bell inequalities together with another family: inefficiency-re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09514","kind":"arxiv","version":3},"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":"1606.09514","created_at":"2026-05-18T00:13:53.660835+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.09514v3","created_at":"2026-05-18T00:13:53.660835+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09514","created_at":"2026-05-18T00:13:53.660835+00:00"},{"alias_kind":"pith_short_12","alias_value":"D3PERAIVWPKR","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"D3PERAIVWPKRA3OJ","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"D3PERAIV","created_at":"2026-05-18T12:30:09.641336+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/D3PERAIVWPKRA3OJN3QA52UGED","json":"https://pith.science/pith/D3PERAIVWPKRA3OJN3QA52UGED.json","graph_json":"https://pith.science/api/pith-number/D3PERAIVWPKRA3OJN3QA52UGED/graph.json","events_json":"https://pith.science/api/pith-number/D3PERAIVWPKRA3OJN3QA52UGED/events.json","paper":"https://pith.science/paper/D3PERAIV"},"agent_actions":{"view_html":"https://pith.science/pith/D3PERAIVWPKRA3OJN3QA52UGED","download_json":"https://pith.science/pith/D3PERAIVWPKRA3OJN3QA52UGED.json","view_paper":"https://pith.science/paper/D3PERAIV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.09514&json=true","fetch_graph":"https://pith.science/api/pith-number/D3PERAIVWPKRA3OJN3QA52UGED/graph.json","fetch_events":"https://pith.science/api/pith-number/D3PERAIVWPKRA3OJN3QA52UGED/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D3PERAIVWPKRA3OJN3QA52UGED/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D3PERAIVWPKRA3OJN3QA52UGED/action/storage_attestation","attest_author":"https://pith.science/pith/D3PERAIVWPKRA3OJN3QA52UGED/action/author_attestation","sign_citation":"https://pith.science/pith/D3PERAIVWPKRA3OJN3QA52UGED/action/citation_signature","submit_replication":"https://pith.science/pith/D3PERAIVWPKRA3OJN3QA52UGED/action/replication_record"}},"created_at":"2026-05-18T00:13:53.660835+00:00","updated_at":"2026-05-18T00:13:53.660835+00:00"}