{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ULNIP2Q4K7JVSZSJC7PTEV3KDE","short_pith_number":"pith:ULNIP2Q4","canonical_record":{"source":{"id":"1209.5834","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-09-26T05:49:40Z","cross_cats_sorted":[],"title_canon_sha256":"93d1165fff5b8b3c2afcbb6f9c03ea2b4a9689dde4a08f2b85bc3e2f8e906081","abstract_canon_sha256":"00c07103040401377b128ac0e6c652087f98eef65522f873e8590ccabeb174e3"},"schema_version":"1.0"},"canonical_sha256":"a2da87ea1c57d359664917df32576a192bf19dab70b7871ba0b5cc14f9d37182","source":{"kind":"arxiv","id":"1209.5834","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.5834","created_at":"2026-05-18T02:34:52Z"},{"alias_kind":"arxiv_version","alias_value":"1209.5834v4","created_at":"2026-05-18T02:34:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.5834","created_at":"2026-05-18T02:34:52Z"},{"alias_kind":"pith_short_12","alias_value":"ULNIP2Q4K7JV","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"ULNIP2Q4K7JVSZSJ","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"ULNIP2Q4","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ULNIP2Q4K7JVSZSJC7PTEV3KDE","target":"record","payload":{"canonical_record":{"source":{"id":"1209.5834","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-09-26T05:49:40Z","cross_cats_sorted":[],"title_canon_sha256":"93d1165fff5b8b3c2afcbb6f9c03ea2b4a9689dde4a08f2b85bc3e2f8e906081","abstract_canon_sha256":"00c07103040401377b128ac0e6c652087f98eef65522f873e8590ccabeb174e3"},"schema_version":"1.0"},"canonical_sha256":"a2da87ea1c57d359664917df32576a192bf19dab70b7871ba0b5cc14f9d37182","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:52.841775Z","signature_b64":"a1bCd7QITmAq2yGpSbyUbBUDQyf44FQEPiHcZIqfDWT0XOTnyVMMcAfFfw0M8xOBzMiFAttxRjaJUaHeuoeMCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2da87ea1c57d359664917df32576a192bf19dab70b7871ba0b5cc14f9d37182","last_reissued_at":"2026-05-18T02:34:52.841312Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:52.841312Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.5834","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:34:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"34xLrERdcRi+qYPDKXKEDZ/Rdd3l1iIfrcWVBI7rlYjNH0Y7ODZJZlqLvy7+JEa+P+hwEuZjU49+Zw7LPyYyCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:08:21.380945Z"},"content_sha256":"62ad428ab298f9eda8c05bebf09a79185ec0e0e3522470c5d33136f570f60cd7","schema_version":"1.0","event_id":"sha256:62ad428ab298f9eda8c05bebf09a79185ec0e0e3522470c5d33136f570f60cd7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ULNIP2Q4K7JVSZSJC7PTEV3KDE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A probabilistic approach to quantum Bayesian games of incomplete information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Azhar Iqbal, Charles E.M. Pearce, Derek Abbott, James M. Chappell, Qiang Li","submitted_at":"2012-09-26T05:49:40Z","abstract_excerpt":"A Bayesian game is a game of incomplete information in which the rules of the game are not fully known to all players. We consider the Bayesian game of Battle of Sexes that has several Bayesian Nash equilibria and investigate its outcome when the underlying probability set is obtained from generalized Einstein-Podolsky-Rosen experiments. We find that this probability set, which may become non-factorizable, results in a unique Bayesian Nash equilibrium of the game."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.5834","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:34:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7mjlP8PP/iOXtbS/DhS5Ow1k6mS52fN5hi83dY2k4d07wiGfiQRYvTV47pBiMrqvNOiIcheTmGw30CTycrVQBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:08:21.381472Z"},"content_sha256":"3f52cc8ba165e81bd5d94f0c158ff76432bd5c5aa1ca5a762620fa7508c2ae4e","schema_version":"1.0","event_id":"sha256:3f52cc8ba165e81bd5d94f0c158ff76432bd5c5aa1ca5a762620fa7508c2ae4e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ULNIP2Q4K7JVSZSJC7PTEV3KDE/bundle.json","state_url":"https://pith.science/pith/ULNIP2Q4K7JVSZSJC7PTEV3KDE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ULNIP2Q4K7JVSZSJC7PTEV3KDE/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":"2026-06-01T20:08:21Z","links":{"resolver":"https://pith.science/pith/ULNIP2Q4K7JVSZSJC7PTEV3KDE","bundle":"https://pith.science/pith/ULNIP2Q4K7JVSZSJC7PTEV3KDE/bundle.json","state":"https://pith.science/pith/ULNIP2Q4K7JVSZSJC7PTEV3KDE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ULNIP2Q4K7JVSZSJC7PTEV3KDE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ULNIP2Q4K7JVSZSJC7PTEV3KDE","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":"00c07103040401377b128ac0e6c652087f98eef65522f873e8590ccabeb174e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-09-26T05:49:40Z","title_canon_sha256":"93d1165fff5b8b3c2afcbb6f9c03ea2b4a9689dde4a08f2b85bc3e2f8e906081"},"schema_version":"1.0","source":{"id":"1209.5834","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.5834","created_at":"2026-05-18T02:34:52Z"},{"alias_kind":"arxiv_version","alias_value":"1209.5834v4","created_at":"2026-05-18T02:34:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.5834","created_at":"2026-05-18T02:34:52Z"},{"alias_kind":"pith_short_12","alias_value":"ULNIP2Q4K7JV","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"ULNIP2Q4K7JVSZSJ","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"ULNIP2Q4","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:3f52cc8ba165e81bd5d94f0c158ff76432bd5c5aa1ca5a762620fa7508c2ae4e","target":"graph","created_at":"2026-05-18T02:34:52Z","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":"A Bayesian game is a game of incomplete information in which the rules of the game are not fully known to all players. We consider the Bayesian game of Battle of Sexes that has several Bayesian Nash equilibria and investigate its outcome when the underlying probability set is obtained from generalized Einstein-Podolsky-Rosen experiments. We find that this probability set, which may become non-factorizable, results in a unique Bayesian Nash equilibrium of the game.","authors_text":"Azhar Iqbal, Charles E.M. Pearce, Derek Abbott, James M. Chappell, Qiang Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-09-26T05:49:40Z","title":"A probabilistic approach to quantum Bayesian games of incomplete information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.5834","kind":"arxiv","version":4},"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":"sha256:62ad428ab298f9eda8c05bebf09a79185ec0e0e3522470c5d33136f570f60cd7","target":"record","created_at":"2026-05-18T02:34:52Z","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":"00c07103040401377b128ac0e6c652087f98eef65522f873e8590ccabeb174e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-09-26T05:49:40Z","title_canon_sha256":"93d1165fff5b8b3c2afcbb6f9c03ea2b4a9689dde4a08f2b85bc3e2f8e906081"},"schema_version":"1.0","source":{"id":"1209.5834","kind":"arxiv","version":4}},"canonical_sha256":"a2da87ea1c57d359664917df32576a192bf19dab70b7871ba0b5cc14f9d37182","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2da87ea1c57d359664917df32576a192bf19dab70b7871ba0b5cc14f9d37182","first_computed_at":"2026-05-18T02:34:52.841312Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:52.841312Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a1bCd7QITmAq2yGpSbyUbBUDQyf44FQEPiHcZIqfDWT0XOTnyVMMcAfFfw0M8xOBzMiFAttxRjaJUaHeuoeMCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:52.841775Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.5834","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:62ad428ab298f9eda8c05bebf09a79185ec0e0e3522470c5d33136f570f60cd7","sha256:3f52cc8ba165e81bd5d94f0c158ff76432bd5c5aa1ca5a762620fa7508c2ae4e"],"state_sha256":"95fb372121bb9a7cea0edb7cc8097b6ed9668f1411cba231cf5c8055c4c0f3b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FxMKNLYIr3pjpyhKQIJB8nS1TX6dvXHwawRwSuBe4678piINSJh2sk+9AqDT6bbGRfoqxeRE0Seco0wbypCNCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T20:08:21.383854Z","bundle_sha256":"b04af84b07f36a6e7807ab11efd205f6638659464cd58a93c11dd55028d6ce7a"}}