{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:BVDRMGSA7FEFJLKESGBXDVOO2E","short_pith_number":"pith:BVDRMGSA","canonical_record":{"source":{"id":"0910.5275","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-10-28T01:41:08Z","cross_cats_sorted":[],"title_canon_sha256":"d3daa7f2fa7405140bb3aa8d3f160389de0c9f9790f1f6784e94d8cd57562867","abstract_canon_sha256":"9c7b75be39263fa8466c3741c4ce27081c42b069784a2a34293ae1289543d218"},"schema_version":"1.0"},"canonical_sha256":"0d47161a40f94854ad44918371d5ced11cc05f6d40bf8f24a8229a71be865758","source":{"kind":"arxiv","id":"0910.5275","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.5275","created_at":"2026-05-18T02:11:10Z"},{"alias_kind":"arxiv_version","alias_value":"0910.5275v1","created_at":"2026-05-18T02:11:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.5275","created_at":"2026-05-18T02:11:10Z"},{"alias_kind":"pith_short_12","alias_value":"BVDRMGSA7FEF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"BVDRMGSA7FEFJLKE","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"BVDRMGSA","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:BVDRMGSA7FEFJLKESGBXDVOO2E","target":"record","payload":{"canonical_record":{"source":{"id":"0910.5275","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-10-28T01:41:08Z","cross_cats_sorted":[],"title_canon_sha256":"d3daa7f2fa7405140bb3aa8d3f160389de0c9f9790f1f6784e94d8cd57562867","abstract_canon_sha256":"9c7b75be39263fa8466c3741c4ce27081c42b069784a2a34293ae1289543d218"},"schema_version":"1.0"},"canonical_sha256":"0d47161a40f94854ad44918371d5ced11cc05f6d40bf8f24a8229a71be865758","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:11:10.604927Z","signature_b64":"lOOxFlIxArwh8KbEfrWC+6Dp/LnOjl3iJW7RF+2dU2zqzLVcDD+ezVustH6eE5PSuVCY+SuKeAH56Na/I8ZvDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d47161a40f94854ad44918371d5ced11cc05f6d40bf8f24a8229a71be865758","last_reissued_at":"2026-05-18T02:11:10.604165Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:11:10.604165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.5275","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":"2026-05-18T02:11:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U8dFhHbrPQwk0vtxG5B51lhcqyiwWoPUe60USkc8AUiCXd1jAjviJvnwUtobOePI/hwWZz5/FnxFP9IHA5Z8Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:01:13.761469Z"},"content_sha256":"bd48d1133ca0f28bf4ccd3f1fcdb82d6bd5568c44d8edb8e2fcd08e995c65c0e","schema_version":"1.0","event_id":"sha256:bd48d1133ca0f28bf4ccd3f1fcdb82d6bd5568c44d8edb8e2fcd08e995c65c0e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:BVDRMGSA7FEFJLKESGBXDVOO2E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uniqueness of Nash equilibria in quantum Cournot duopoly game","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Kiri Sakahara, Takashi Sato, Yohei Sekiguchi","submitted_at":"2009-10-28T01:41:08Z","abstract_excerpt":"A quantum Cournot game of which classical form game has multiple Nash equilibria is examined. Although the classical equilibria fail to be Pareto optimal, the quantum equilibrium exhibits the following two properties, (i) if the measurement of entanglement between strategic variables chosen by the competing firms is sufficiently large, the multiplicity of equilibria vanishes, and, (ii) the more strongly the strategic variables are entangled, the more closely the unique equilibrium approaches to the optimal one."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5275","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":"2026-05-18T02:11:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WsvQRhuJtMLMlGNp+JvW2FbOsXJFEuDSrON/edOiwRMRDqEo9PqZNgDa9Qi7jxLAcPgBX5jnaX0tbS7bZtNIAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:01:13.762133Z"},"content_sha256":"8296821909c088a900bf6c40ac625b664884ec4d0cf6db2a00e4bfe337e313d4","schema_version":"1.0","event_id":"sha256:8296821909c088a900bf6c40ac625b664884ec4d0cf6db2a00e4bfe337e313d4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BVDRMGSA7FEFJLKESGBXDVOO2E/bundle.json","state_url":"https://pith.science/pith/BVDRMGSA7FEFJLKESGBXDVOO2E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BVDRMGSA7FEFJLKESGBXDVOO2E/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":"2026-06-04T23:01:13Z","links":{"resolver":"https://pith.science/pith/BVDRMGSA7FEFJLKESGBXDVOO2E","bundle":"https://pith.science/pith/BVDRMGSA7FEFJLKESGBXDVOO2E/bundle.json","state":"https://pith.science/pith/BVDRMGSA7FEFJLKESGBXDVOO2E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BVDRMGSA7FEFJLKESGBXDVOO2E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:BVDRMGSA7FEFJLKESGBXDVOO2E","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":"9c7b75be39263fa8466c3741c4ce27081c42b069784a2a34293ae1289543d218","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-10-28T01:41:08Z","title_canon_sha256":"d3daa7f2fa7405140bb3aa8d3f160389de0c9f9790f1f6784e94d8cd57562867"},"schema_version":"1.0","source":{"id":"0910.5275","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.5275","created_at":"2026-05-18T02:11:10Z"},{"alias_kind":"arxiv_version","alias_value":"0910.5275v1","created_at":"2026-05-18T02:11:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.5275","created_at":"2026-05-18T02:11:10Z"},{"alias_kind":"pith_short_12","alias_value":"BVDRMGSA7FEF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"BVDRMGSA7FEFJLKE","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"BVDRMGSA","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:8296821909c088a900bf6c40ac625b664884ec4d0cf6db2a00e4bfe337e313d4","target":"graph","created_at":"2026-05-18T02:11:10Z","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 quantum Cournot game of which classical form game has multiple Nash equilibria is examined. Although the classical equilibria fail to be Pareto optimal, the quantum equilibrium exhibits the following two properties, (i) if the measurement of entanglement between strategic variables chosen by the competing firms is sufficiently large, the multiplicity of equilibria vanishes, and, (ii) the more strongly the strategic variables are entangled, the more closely the unique equilibrium approaches to the optimal one.","authors_text":"Kiri Sakahara, Takashi Sato, Yohei Sekiguchi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-10-28T01:41:08Z","title":"Uniqueness of Nash equilibria in quantum Cournot duopoly game"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5275","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:bd48d1133ca0f28bf4ccd3f1fcdb82d6bd5568c44d8edb8e2fcd08e995c65c0e","target":"record","created_at":"2026-05-18T02:11:10Z","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":"9c7b75be39263fa8466c3741c4ce27081c42b069784a2a34293ae1289543d218","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-10-28T01:41:08Z","title_canon_sha256":"d3daa7f2fa7405140bb3aa8d3f160389de0c9f9790f1f6784e94d8cd57562867"},"schema_version":"1.0","source":{"id":"0910.5275","kind":"arxiv","version":1}},"canonical_sha256":"0d47161a40f94854ad44918371d5ced11cc05f6d40bf8f24a8229a71be865758","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d47161a40f94854ad44918371d5ced11cc05f6d40bf8f24a8229a71be865758","first_computed_at":"2026-05-18T02:11:10.604165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:10.604165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lOOxFlIxArwh8KbEfrWC+6Dp/LnOjl3iJW7RF+2dU2zqzLVcDD+ezVustH6eE5PSuVCY+SuKeAH56Na/I8ZvDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:10.604927Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.5275","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd48d1133ca0f28bf4ccd3f1fcdb82d6bd5568c44d8edb8e2fcd08e995c65c0e","sha256:8296821909c088a900bf6c40ac625b664884ec4d0cf6db2a00e4bfe337e313d4"],"state_sha256":"343a994f3b6736a889e2a0e2aad83dd4ad7bb79a2a76a18ac711ee02c2b49bcb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u6wBmQo50xweWCxyOiNawGfRp42YqZAas1TwW8I83F2f5gg9V5TPmzrYshxlqd086p928Hqzy/fi1oGQI4vbAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T23:01:13.766243Z","bundle_sha256":"85c22ff206c043338e25f91b1beea24951b84cb73a2e528ce2a4addcab66ac9e"}}