{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:I72A22CZMSWBARFQM3WZTAVUXE","short_pith_number":"pith:I72A22CZ","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"},"canonical_sha256":"47f40d685964ac1044b066ed9982b4b903d541a0ec0cf29efcd9db3da8c7653b","source":{"kind":"arxiv","id":"1311.5186","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5186","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5186v2","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5186","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"pith_short_12","alias_value":"I72A22CZMSWB","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"I72A22CZMSWBARFQ","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"I72A22CZ","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:I72A22CZMSWBARFQM3WZTAVUXE","target":"record","payload":{"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"},"canonical_sha256":"47f40d685964ac1044b066ed9982b4b903d541a0ec0cf29efcd9db3da8c7653b","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"},"source_kind":"arxiv","source_id":"1311.5186","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:35:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p6ENm4KX96zWWRvoZ+5INkPw5EzWC4o+AnUPlJ4pgBbDFXSXG4+59aHLFWjlYgooPqIupcLWCWuA8LFOGa7iAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T05:16:02.998327Z"},"content_sha256":"7c6392406a735f103264d4a91b38b104036f50080b65e7dbf920f7f3ff7c3fd7","schema_version":"1.0","event_id":"sha256:7c6392406a735f103264d4a91b38b104036f50080b65e7dbf920f7f3ff7c3fd7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:I72A22CZMSWBARFQM3WZTAVUXE","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:35:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TbGlaE1NBA5ytag7Eu4ZfqZgGc3HBS4GEZIrh9ls0soLjVtdSuB31Sx+B7w3X1w+HWh2biADxp+ifDUKMZcUAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T05:16:02.999045Z"},"content_sha256":"452300f35eacd7970124dfcb419461210cdb005973f4fefcb153021e5ff2782b","schema_version":"1.0","event_id":"sha256:452300f35eacd7970124dfcb419461210cdb005973f4fefcb153021e5ff2782b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I72A22CZMSWBARFQM3WZTAVUXE/bundle.json","state_url":"https://pith.science/pith/I72A22CZMSWBARFQM3WZTAVUXE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I72A22CZMSWBARFQM3WZTAVUXE/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-08T05:16:03Z","links":{"resolver":"https://pith.science/pith/I72A22CZMSWBARFQM3WZTAVUXE","bundle":"https://pith.science/pith/I72A22CZMSWBARFQM3WZTAVUXE/bundle.json","state":"https://pith.science/pith/I72A22CZMSWBARFQM3WZTAVUXE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I72A22CZMSWBARFQM3WZTAVUXE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:I72A22CZMSWBARFQM3WZTAVUXE","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":"62414c2ebf239693d91fe9b226c3d043162978b59546b44437b5c03f56f7e9b6","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-11-20T19:38:16Z","title_canon_sha256":"b63068dfe1aaef981f63aa56ee1285486d60f111a7e287d22f2751995170227e"},"schema_version":"1.0","source":{"id":"1311.5186","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5186","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5186v2","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5186","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"pith_short_12","alias_value":"I72A22CZMSWB","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"I72A22CZMSWBARFQ","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"I72A22CZ","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:452300f35eacd7970124dfcb419461210cdb005973f4fefcb153021e5ff2782b","target":"graph","created_at":"2026-05-18T02:35:52Z","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":"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","authors_text":"Mohammad Bavarian, Peter W. Shor","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-11-20T19:38:16Z","title":"Information Causality, Szemer\\'{e}di-Trotter and Algebraic Variants of CHSH"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5186","kind":"arxiv","version":2},"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":"sha256:7c6392406a735f103264d4a91b38b104036f50080b65e7dbf920f7f3ff7c3fd7","target":"record","created_at":"2026-05-18T02:35:52Z","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":"62414c2ebf239693d91fe9b226c3d043162978b59546b44437b5c03f56f7e9b6","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-11-20T19:38:16Z","title_canon_sha256":"b63068dfe1aaef981f63aa56ee1285486d60f111a7e287d22f2751995170227e"},"schema_version":"1.0","source":{"id":"1311.5186","kind":"arxiv","version":2}},"canonical_sha256":"47f40d685964ac1044b066ed9982b4b903d541a0ec0cf29efcd9db3da8c7653b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47f40d685964ac1044b066ed9982b4b903d541a0ec0cf29efcd9db3da8c7653b","first_computed_at":"2026-05-18T02:35:52.268707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:52.268707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jh3z/Oy787LnerU+WMMPzO7cjvxXmAC1djnclfgnCLopQ26cOlwGcEE62ao8/SCH1IBp0VkbqflCQoQ8+TztAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:52.269090Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.5186","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c6392406a735f103264d4a91b38b104036f50080b65e7dbf920f7f3ff7c3fd7","sha256:452300f35eacd7970124dfcb419461210cdb005973f4fefcb153021e5ff2782b"],"state_sha256":"94a313fec5df4a6b8baeec1841025489451d8e1722f7f5c300fbc067be2339f3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V7gTfcTAtQCIObK3cBmCPyProPGHdWaBptZMablkhG1xrzdZa4HMr+EXc/7v4/0bYYyujP9Dxjk0k5GlNkCJCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T05:16:03.003057Z","bundle_sha256":"a74bc811b3c30b19957a10f7f0d3c6c8bb71164d8b29bcdf605a1c4c6fc4ce91"}}