{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:I72A22CZMSWBARFQM3WZTAVUXE","short_pith_number":"pith:I72A22CZ","schema_version":"1.0","canonical_sha256":"47f40d685964ac1044b066ed9982b4b903d541a0ec0cf29efcd9db3da8c7653b","source":{"kind":"arxiv","id":"1311.5186","version":2},"attestation_state":"computed","paper":{"title":"Information Causality, Szemer\\'{e}di-Trotter and Algebraic Variants of CHSH","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"quant-ph","authors_text":"Mohammad Bavarian, Peter W. Shor","submitted_at":"2013-11-20T19:38:16Z","abstract_excerpt":"In this work, we consider the following family of two prover one-round games. In the CHSH_q game, two parties are given x,y in F_q uniformly at random, and each must produce an output a,b in F_q without communicating with the other. The players' objective is to maximize the probability that their outputs satisfy a+b=xy in F_q. This game was introduced by Buhrman and Massar (PRA 2005) as a large alphabet generalization of the celebrated CHSH game---which is one of the most well-studied two-prover games in quantum information theory, and which has a large number of applications to quantum crypto"},"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":"1311.5186","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-11-20T19:38:16Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"b63068dfe1aaef981f63aa56ee1285486d60f111a7e287d22f2751995170227e","abstract_canon_sha256":"62414c2ebf239693d91fe9b226c3d043162978b59546b44437b5c03f56f7e9b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:52.269090Z","signature_b64":"jh3z/Oy787LnerU+WMMPzO7cjvxXmAC1djnclfgnCLopQ26cOlwGcEE62ao8/SCH1IBp0VkbqflCQoQ8+TztAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47f40d685964ac1044b066ed9982b4b903d541a0ec0cf29efcd9db3da8c7653b","last_reissued_at":"2026-05-18T02:35:52.268707Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:52.268707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Information Causality, Szemer\\'{e}di-Trotter and Algebraic Variants of CHSH","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"quant-ph","authors_text":"Mohammad Bavarian, Peter W. Shor","submitted_at":"2013-11-20T19:38:16Z","abstract_excerpt":"In this work, we consider the following family of two prover one-round games. In the CHSH_q game, two parties are given x,y in F_q uniformly at random, and each must produce an output a,b in F_q without communicating with the other. The players' objective is to maximize the probability that their outputs satisfy a+b=xy in F_q. This game was introduced by Buhrman and Massar (PRA 2005) as a large alphabet generalization of the celebrated CHSH game---which is one of the most well-studied two-prover games in quantum information theory, and which has a large number of applications to quantum crypto"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5186","kind":"arxiv","version":2},"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":"1311.5186","created_at":"2026-05-18T02:35:52.268764+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.5186v2","created_at":"2026-05-18T02:35:52.268764+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5186","created_at":"2026-05-18T02:35:52.268764+00:00"},{"alias_kind":"pith_short_12","alias_value":"I72A22CZMSWB","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"I72A22CZMSWBARFQ","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"I72A22CZ","created_at":"2026-05-18T12:27:46.883200+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/I72A22CZMSWBARFQM3WZTAVUXE","json":"https://pith.science/pith/I72A22CZMSWBARFQM3WZTAVUXE.json","graph_json":"https://pith.science/api/pith-number/I72A22CZMSWBARFQM3WZTAVUXE/graph.json","events_json":"https://pith.science/api/pith-number/I72A22CZMSWBARFQM3WZTAVUXE/events.json","paper":"https://pith.science/paper/I72A22CZ"},"agent_actions":{"view_html":"https://pith.science/pith/I72A22CZMSWBARFQM3WZTAVUXE","download_json":"https://pith.science/pith/I72A22CZMSWBARFQM3WZTAVUXE.json","view_paper":"https://pith.science/paper/I72A22CZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.5186&json=true","fetch_graph":"https://pith.science/api/pith-number/I72A22CZMSWBARFQM3WZTAVUXE/graph.json","fetch_events":"https://pith.science/api/pith-number/I72A22CZMSWBARFQM3WZTAVUXE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I72A22CZMSWBARFQM3WZTAVUXE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I72A22CZMSWBARFQM3WZTAVUXE/action/storage_attestation","attest_author":"https://pith.science/pith/I72A22CZMSWBARFQM3WZTAVUXE/action/author_attestation","sign_citation":"https://pith.science/pith/I72A22CZMSWBARFQM3WZTAVUXE/action/citation_signature","submit_replication":"https://pith.science/pith/I72A22CZMSWBARFQM3WZTAVUXE/action/replication_record"}},"created_at":"2026-05-18T02:35:52.268764+00:00","updated_at":"2026-05-18T02:35:52.268764+00:00"}