{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:F6ULQDPILKQTVQISVZIWGWSX6B","short_pith_number":"pith:F6ULQDPI","canonical_record":{"source":{"id":"1703.03291","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-03-07T01:04:50Z","cross_cats_sorted":[],"title_canon_sha256":"06b3ab3c33aaab48cb32799ab76b5e3441c3df471001396fa1412a2c0dff2406","abstract_canon_sha256":"751a69dde0cc2cccdfcf307f28a24aa6cd5237c48de954e7c11e59f0d05b4e8e"},"schema_version":"1.0"},"canonical_sha256":"2fa8b80de85aa13ac112ae51635a57f040cf5177c377b2e007122db1468ee5fb","source":{"kind":"arxiv","id":"1703.03291","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03291","created_at":"2026-05-18T00:49:00Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03291v1","created_at":"2026-05-18T00:49:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03291","created_at":"2026-05-18T00:49:00Z"},{"alias_kind":"pith_short_12","alias_value":"F6ULQDPILKQT","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"F6ULQDPILKQTVQIS","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"F6ULQDPI","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:F6ULQDPILKQTVQISVZIWGWSX6B","target":"record","payload":{"canonical_record":{"source":{"id":"1703.03291","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-03-07T01:04:50Z","cross_cats_sorted":[],"title_canon_sha256":"06b3ab3c33aaab48cb32799ab76b5e3441c3df471001396fa1412a2c0dff2406","abstract_canon_sha256":"751a69dde0cc2cccdfcf307f28a24aa6cd5237c48de954e7c11e59f0d05b4e8e"},"schema_version":"1.0"},"canonical_sha256":"2fa8b80de85aa13ac112ae51635a57f040cf5177c377b2e007122db1468ee5fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:00.787738Z","signature_b64":"GmGd1pQE7IH3+QivsIxqCPP13BcGCenZozF823EcaAo0RWdN8V6/pvK/5YFuablaz0pGN9eM4UuTJi2Qq63rCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2fa8b80de85aa13ac112ae51635a57f040cf5177c377b2e007122db1468ee5fb","last_reissued_at":"2026-05-18T00:49:00.787006Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:00.787006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.03291","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:49:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YqFsCc+IZGpDP3G2cMAok2oKTZw88MRQrz4uFQqg19PwMyyO90p9DPqppuZnpLCI9M3f5pUMqUyajFG9qek2CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:59:07.392060Z"},"content_sha256":"7bbe7139a454ca1cad942c03a45eb0adef3f755a75f6dcb9e3410b7c275cf986","schema_version":"1.0","event_id":"sha256:7bbe7139a454ca1cad942c03a45eb0adef3f755a75f6dcb9e3410b7c275cf986"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:F6ULQDPILKQTVQISVZIWGWSX6B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Characterizing the Nash equilibria of a three-player Bayesian quantum game","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Neal Solmeyer, Radhakrishnan Balu, Ricky Dixon","submitted_at":"2017-03-07T01:04:50Z","abstract_excerpt":"Quantum games with incomplete information can be studied within a Bayesian framework. We consider a version of prisoner's dilemma (PD) in this framework with three players and characterize the Nash equilibria. A variation of the standard PD game is set up with two types of the second prisoner and the first prisoner plays with them with probability p and 1-p respectively. The Bayesian nature of the game manifests in the uncertainty that the first prisoner faces about his opponent's type which is encoded either in a classical probability or in the amplitudes of a wave function. Here, we consider"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03291","kind":"arxiv","version":1},"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":"2026-05-18T00:49:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JeWvbuK2gbBkvANzKiNh0uh8b+vvqsNIwFNkD5j/lJvkuW8iBwM7NiTeQjzW5R3+ri72ZrEVtmabrXBDkrt2Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:59:07.392622Z"},"content_sha256":"09d63df996fb62504bb5805f376c7620fa735a2ed4ca063ea084be501a91b5fd","schema_version":"1.0","event_id":"sha256:09d63df996fb62504bb5805f376c7620fa735a2ed4ca063ea084be501a91b5fd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F6ULQDPILKQTVQISVZIWGWSX6B/bundle.json","state_url":"https://pith.science/pith/F6ULQDPILKQTVQISVZIWGWSX6B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F6ULQDPILKQTVQISVZIWGWSX6B/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":"2026-05-27T17:59:07Z","links":{"resolver":"https://pith.science/pith/F6ULQDPILKQTVQISVZIWGWSX6B","bundle":"https://pith.science/pith/F6ULQDPILKQTVQISVZIWGWSX6B/bundle.json","state":"https://pith.science/pith/F6ULQDPILKQTVQISVZIWGWSX6B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F6ULQDPILKQTVQISVZIWGWSX6B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:F6ULQDPILKQTVQISVZIWGWSX6B","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":"751a69dde0cc2cccdfcf307f28a24aa6cd5237c48de954e7c11e59f0d05b4e8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-03-07T01:04:50Z","title_canon_sha256":"06b3ab3c33aaab48cb32799ab76b5e3441c3df471001396fa1412a2c0dff2406"},"schema_version":"1.0","source":{"id":"1703.03291","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03291","created_at":"2026-05-18T00:49:00Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03291v1","created_at":"2026-05-18T00:49:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03291","created_at":"2026-05-18T00:49:00Z"},{"alias_kind":"pith_short_12","alias_value":"F6ULQDPILKQT","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"F6ULQDPILKQTVQIS","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"F6ULQDPI","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:09d63df996fb62504bb5805f376c7620fa735a2ed4ca063ea084be501a91b5fd","target":"graph","created_at":"2026-05-18T00:49:00Z","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":"Quantum games with incomplete information can be studied within a Bayesian framework. We consider a version of prisoner's dilemma (PD) in this framework with three players and characterize the Nash equilibria. A variation of the standard PD game is set up with two types of the second prisoner and the first prisoner plays with them with probability p and 1-p respectively. The Bayesian nature of the game manifests in the uncertainty that the first prisoner faces about his opponent's type which is encoded either in a classical probability or in the amplitudes of a wave function. Here, we consider","authors_text":"Neal Solmeyer, Radhakrishnan Balu, Ricky Dixon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-03-07T01:04:50Z","title":"Characterizing the Nash equilibria of a three-player Bayesian quantum game"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03291","kind":"arxiv","version":1},"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":"sha256:7bbe7139a454ca1cad942c03a45eb0adef3f755a75f6dcb9e3410b7c275cf986","target":"record","created_at":"2026-05-18T00:49:00Z","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":"751a69dde0cc2cccdfcf307f28a24aa6cd5237c48de954e7c11e59f0d05b4e8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-03-07T01:04:50Z","title_canon_sha256":"06b3ab3c33aaab48cb32799ab76b5e3441c3df471001396fa1412a2c0dff2406"},"schema_version":"1.0","source":{"id":"1703.03291","kind":"arxiv","version":1}},"canonical_sha256":"2fa8b80de85aa13ac112ae51635a57f040cf5177c377b2e007122db1468ee5fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2fa8b80de85aa13ac112ae51635a57f040cf5177c377b2e007122db1468ee5fb","first_computed_at":"2026-05-18T00:49:00.787006Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:00.787006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GmGd1pQE7IH3+QivsIxqCPP13BcGCenZozF823EcaAo0RWdN8V6/pvK/5YFuablaz0pGN9eM4UuTJi2Qq63rCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:00.787738Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.03291","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7bbe7139a454ca1cad942c03a45eb0adef3f755a75f6dcb9e3410b7c275cf986","sha256:09d63df996fb62504bb5805f376c7620fa735a2ed4ca063ea084be501a91b5fd"],"state_sha256":"792fc19c3b7392240cbc71cb48cf09defcd76aeef0d69557c0fd63878900c360"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q3wELT519ci7CBYJFMVTzeXJ33OsU25bj4ywTqhPcAvbyrP4VecCd1yr3nUy2D2sBkj1g0PVQ0RaJ8Ny4m+TDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T17:59:07.396137Z","bundle_sha256":"64a342dde98ef4799f9aa3acfd6ea607dd94d5cf2bb5edc833a8aae639f0850a"}}