{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:ILRCP2Q6PXR2TTULOVLEM7ZRST","short_pith_number":"pith:ILRCP2Q6","canonical_record":{"source":{"id":"quant-ph/0605134","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-05-16T02:59:11Z","cross_cats_sorted":[],"title_canon_sha256":"563ab3e5001ec9e4ce22ed285d46732d859f328ebc32da4112e96c6fcda4534d","abstract_canon_sha256":"6cc065976fb4eb37e6d4e8b1105b5a4ccc467512263ca8531f042b721447018d"},"schema_version":"1.0"},"canonical_sha256":"42e227ea1e7de3a9ce8b7556467f3194c80063a1a3db42446862b975f0f65781","source":{"kind":"arxiv","id":"quant-ph/0605134","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0605134","created_at":"2026-07-04T17:03:00Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0605134v1","created_at":"2026-07-04T17:03:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0605134","created_at":"2026-07-04T17:03:00Z"},{"alias_kind":"pith_short_12","alias_value":"ILRCP2Q6PXR2","created_at":"2026-07-04T17:03:00Z"},{"alias_kind":"pith_short_16","alias_value":"ILRCP2Q6PXR2TTUL","created_at":"2026-07-04T17:03:00Z"},{"alias_kind":"pith_short_8","alias_value":"ILRCP2Q6","created_at":"2026-07-04T17:03:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:ILRCP2Q6PXR2TTULOVLEM7ZRST","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0605134","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-05-16T02:59:11Z","cross_cats_sorted":[],"title_canon_sha256":"563ab3e5001ec9e4ce22ed285d46732d859f328ebc32da4112e96c6fcda4534d","abstract_canon_sha256":"6cc065976fb4eb37e6d4e8b1105b5a4ccc467512263ca8531f042b721447018d"},"schema_version":"1.0"},"canonical_sha256":"42e227ea1e7de3a9ce8b7556467f3194c80063a1a3db42446862b975f0f65781","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:03:00.907190Z","signature_b64":"G8LPU/R2jS9/8HZGWFKQhfvdTxi5mCjpB7I4U19C3xiKaSKTqU99iDrV7sujFUGk8qpYEpyNq1cDSnpFuhoGAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42e227ea1e7de3a9ce8b7556467f3194c80063a1a3db42446862b975f0f65781","last_reissued_at":"2026-07-04T17:03:00.906785Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:03:00.906785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0605134","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":"2026-07-04T17:03:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FOr5KBSRsIMfVa2LbotD/cwghEgm0QEM519GsLGBCyGLzThgzOgA7J1Uotw/1ga4B65/mUW7LDqr9BZG5T+ADw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T00:23:27.441400Z"},"content_sha256":"bd51ece1582adcfee2a39884bc22d3f6e14254958680a77d6000a3984a658fbd","schema_version":"1.0","event_id":"sha256:bd51ece1582adcfee2a39884bc22d3f6e14254958680a77d6000a3984a658fbd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:ILRCP2Q6PXR2TTULOVLEM7ZRST","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Game Theory Formulated on Hilbert Space","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Taksu Cheon","submitted_at":"2006-05-16T02:59:11Z","abstract_excerpt":"We present a consistent formulation of quantum game theory that accommodates all possible strategies in Hilbert space. The physical content of the quantum strategy is revealed as a family of classical games representing altruistic game play supplemented by quantum interferences. Crucial role of the entanglement in quantum strategy is illustrated by an example of quantum game representing the Bell's experiment."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0605134","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/quant-ph/0605134/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T17:03:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XygZZhhXN3C9Syblg3ItVa66Sh/gBsLi+dt4DDzXcOev5XDtl6wnVHYSdbQwXqdpuv+wSPQUMkTf3a20Xp9zCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T00:23:27.441921Z"},"content_sha256":"f26446537c34b40a394e4c4fc52b3f6c9b5d61081f34771c566ba8692576a222","schema_version":"1.0","event_id":"sha256:f26446537c34b40a394e4c4fc52b3f6c9b5d61081f34771c566ba8692576a222"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ILRCP2Q6PXR2TTULOVLEM7ZRST/bundle.json","state_url":"https://pith.science/pith/ILRCP2Q6PXR2TTULOVLEM7ZRST/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ILRCP2Q6PXR2TTULOVLEM7ZRST/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":"2026-08-05T00:23:27Z","links":{"resolver":"https://pith.science/pith/ILRCP2Q6PXR2TTULOVLEM7ZRST","bundle":"https://pith.science/pith/ILRCP2Q6PXR2TTULOVLEM7ZRST/bundle.json","state":"https://pith.science/pith/ILRCP2Q6PXR2TTULOVLEM7ZRST/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ILRCP2Q6PXR2TTULOVLEM7ZRST/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:ILRCP2Q6PXR2TTULOVLEM7ZRST","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":"6cc065976fb4eb37e6d4e8b1105b5a4ccc467512263ca8531f042b721447018d","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-05-16T02:59:11Z","title_canon_sha256":"563ab3e5001ec9e4ce22ed285d46732d859f328ebc32da4112e96c6fcda4534d"},"schema_version":"1.0","source":{"id":"quant-ph/0605134","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0605134","created_at":"2026-07-04T17:03:00Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0605134v1","created_at":"2026-07-04T17:03:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0605134","created_at":"2026-07-04T17:03:00Z"},{"alias_kind":"pith_short_12","alias_value":"ILRCP2Q6PXR2","created_at":"2026-07-04T17:03:00Z"},{"alias_kind":"pith_short_16","alias_value":"ILRCP2Q6PXR2TTUL","created_at":"2026-07-04T17:03:00Z"},{"alias_kind":"pith_short_8","alias_value":"ILRCP2Q6","created_at":"2026-07-04T17:03:00Z"}],"graph_snapshots":[{"event_id":"sha256:f26446537c34b40a394e4c4fc52b3f6c9b5d61081f34771c566ba8692576a222","target":"graph","created_at":"2026-07-04T17:03:00Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/quant-ph/0605134/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a consistent formulation of quantum game theory that accommodates all possible strategies in Hilbert space. The physical content of the quantum strategy is revealed as a family of classical games representing altruistic game play supplemented by quantum interferences. Crucial role of the entanglement in quantum strategy is illustrated by an example of quantum game representing the Bell's experiment.","authors_text":"Taksu Cheon","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-05-16T02:59:11Z","title":"Game Theory Formulated on Hilbert Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0605134","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:bd51ece1582adcfee2a39884bc22d3f6e14254958680a77d6000a3984a658fbd","target":"record","created_at":"2026-07-04T17:03:00Z","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":"6cc065976fb4eb37e6d4e8b1105b5a4ccc467512263ca8531f042b721447018d","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-05-16T02:59:11Z","title_canon_sha256":"563ab3e5001ec9e4ce22ed285d46732d859f328ebc32da4112e96c6fcda4534d"},"schema_version":"1.0","source":{"id":"quant-ph/0605134","kind":"arxiv","version":1}},"canonical_sha256":"42e227ea1e7de3a9ce8b7556467f3194c80063a1a3db42446862b975f0f65781","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42e227ea1e7de3a9ce8b7556467f3194c80063a1a3db42446862b975f0f65781","first_computed_at":"2026-07-04T17:03:00.906785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:03:00.906785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G8LPU/R2jS9/8HZGWFKQhfvdTxi5mCjpB7I4U19C3xiKaSKTqU99iDrV7sujFUGk8qpYEpyNq1cDSnpFuhoGAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:03:00.907190Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0605134","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd51ece1582adcfee2a39884bc22d3f6e14254958680a77d6000a3984a658fbd","sha256:f26446537c34b40a394e4c4fc52b3f6c9b5d61081f34771c566ba8692576a222"],"state_sha256":"b5eb28f17b3baa91c07a04d8bb1638dec5a8461a3965957ade019ccb4c95862d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7ripR4u2zx/xS34xSuP6rBLt576utwJqWuR+micw/LNbX4CU6efuElQzaAPw3tgqtSDideN1oo0br9v52RLKDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T00:23:27.447181Z","bundle_sha256":"aa28dc43c53ea928dfea17f0a09ac3e04a8eb1d19a8a97fe03a77b5b357c948d"}}