{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:2HYF2NZG7XOOHCLZPGRZEAJWKM","short_pith_number":"pith:2HYF2NZG","canonical_record":{"source":{"id":"1409.3685","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-12T09:27:56Z","cross_cats_sorted":[],"title_canon_sha256":"71cff3779c3d65edb09336cafdab4b90d1c13ccb2412d040baa0bfaf59039022","abstract_canon_sha256":"2ce4653e4c50da4282ec2faed969d5e9bbc0df8865503f4839fa2572a0138926"},"schema_version":"1.0"},"canonical_sha256":"d1f05d3726fddce3897979a39201365304bc2003d372c5cad274b5fd7c8ed3d3","source":{"kind":"arxiv","id":"1409.3685","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3685","created_at":"2026-05-18T02:42:59Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3685v1","created_at":"2026-05-18T02:42:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3685","created_at":"2026-05-18T02:42:59Z"},{"alias_kind":"pith_short_12","alias_value":"2HYF2NZG7XOO","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2HYF2NZG7XOOHCLZ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2HYF2NZG","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:2HYF2NZG7XOOHCLZPGRZEAJWKM","target":"record","payload":{"canonical_record":{"source":{"id":"1409.3685","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-12T09:27:56Z","cross_cats_sorted":[],"title_canon_sha256":"71cff3779c3d65edb09336cafdab4b90d1c13ccb2412d040baa0bfaf59039022","abstract_canon_sha256":"2ce4653e4c50da4282ec2faed969d5e9bbc0df8865503f4839fa2572a0138926"},"schema_version":"1.0"},"canonical_sha256":"d1f05d3726fddce3897979a39201365304bc2003d372c5cad274b5fd7c8ed3d3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:59.977898Z","signature_b64":"0M6L8oSkgmuF5q45WlnwqExQ9lphzbaXXvYSplojfUaOai+W2HwOebmsfy0V7RltMDAiIfYK9xiWFNgx0aZjAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1f05d3726fddce3897979a39201365304bc2003d372c5cad274b5fd7c8ed3d3","last_reissued_at":"2026-05-18T02:42:59.977213Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:59.977213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.3685","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":"2026-05-18T02:42:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u8Ny6g3hBBleRkNi9Lgr2w1Mq56g3H+bkrTZNsaT0BFJrsWB1VWDubj0Z9jwlW+EpR4ke1gZqV+3xQGv9d9LAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T18:54:21.026686Z"},"content_sha256":"565f14015d73e787f0b875166c9924ed33afa148d6667180be0882e8ec027ce1","schema_version":"1.0","event_id":"sha256:565f14015d73e787f0b875166c9924ed33afa148d6667180be0882e8ec027ce1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:2HYF2NZG7XOOHCLZPGRZEAJWKM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new model for quantum games based on the Marinatto-Weber approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Piotr Frackiewicz","submitted_at":"2014-09-12T09:27:56Z","abstract_excerpt":"The Marinatto-Weber approach to quantum game is a straightforward way to apply the power of quantum mechanics to classical game theory. In the simplest case, the quantum scheme is that players manipulate their own qubits of a two-qubit state either with the identity operator or the Pauli operator $\\sigma_{x}$. However, such a simplification of the scheme raises doubt as to whether it could really reflect a quantum game. In this paper we put forward examples which may constitute arguments against the present form of the Marinatto-Weber scheme. Next, we modify the scheme to eliminate the undesir"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3685","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":"2026-05-18T02:42:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/DesX2q1FLIydDLXgBC522g9qNtR+R2sfcZFlQfUY76s7Hw2SRwI36pw8jyuNAVewBNtzw38fUL3GTqLbo6pBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T18:54:21.027340Z"},"content_sha256":"db76af9fd79160af1e53dfa25dbf169d810a576e647faf698afddaa2a603c220","schema_version":"1.0","event_id":"sha256:db76af9fd79160af1e53dfa25dbf169d810a576e647faf698afddaa2a603c220"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2HYF2NZG7XOOHCLZPGRZEAJWKM/bundle.json","state_url":"https://pith.science/pith/2HYF2NZG7XOOHCLZPGRZEAJWKM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2HYF2NZG7XOOHCLZPGRZEAJWKM/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":"2026-06-30T18:54:21Z","links":{"resolver":"https://pith.science/pith/2HYF2NZG7XOOHCLZPGRZEAJWKM","bundle":"https://pith.science/pith/2HYF2NZG7XOOHCLZPGRZEAJWKM/bundle.json","state":"https://pith.science/pith/2HYF2NZG7XOOHCLZPGRZEAJWKM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2HYF2NZG7XOOHCLZPGRZEAJWKM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2HYF2NZG7XOOHCLZPGRZEAJWKM","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":"2ce4653e4c50da4282ec2faed969d5e9bbc0df8865503f4839fa2572a0138926","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-12T09:27:56Z","title_canon_sha256":"71cff3779c3d65edb09336cafdab4b90d1c13ccb2412d040baa0bfaf59039022"},"schema_version":"1.0","source":{"id":"1409.3685","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3685","created_at":"2026-05-18T02:42:59Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3685v1","created_at":"2026-05-18T02:42:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3685","created_at":"2026-05-18T02:42:59Z"},{"alias_kind":"pith_short_12","alias_value":"2HYF2NZG7XOO","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2HYF2NZG7XOOHCLZ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2HYF2NZG","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:db76af9fd79160af1e53dfa25dbf169d810a576e647faf698afddaa2a603c220","target":"graph","created_at":"2026-05-18T02:42:59Z","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":"The Marinatto-Weber approach to quantum game is a straightforward way to apply the power of quantum mechanics to classical game theory. In the simplest case, the quantum scheme is that players manipulate their own qubits of a two-qubit state either with the identity operator or the Pauli operator $\\sigma_{x}$. However, such a simplification of the scheme raises doubt as to whether it could really reflect a quantum game. In this paper we put forward examples which may constitute arguments against the present form of the Marinatto-Weber scheme. Next, we modify the scheme to eliminate the undesir","authors_text":"Piotr Frackiewicz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-12T09:27:56Z","title":"A new model for quantum games based on the Marinatto-Weber approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3685","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":"sha256:565f14015d73e787f0b875166c9924ed33afa148d6667180be0882e8ec027ce1","target":"record","created_at":"2026-05-18T02:42:59Z","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":"2ce4653e4c50da4282ec2faed969d5e9bbc0df8865503f4839fa2572a0138926","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-12T09:27:56Z","title_canon_sha256":"71cff3779c3d65edb09336cafdab4b90d1c13ccb2412d040baa0bfaf59039022"},"schema_version":"1.0","source":{"id":"1409.3685","kind":"arxiv","version":1}},"canonical_sha256":"d1f05d3726fddce3897979a39201365304bc2003d372c5cad274b5fd7c8ed3d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1f05d3726fddce3897979a39201365304bc2003d372c5cad274b5fd7c8ed3d3","first_computed_at":"2026-05-18T02:42:59.977213Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:59.977213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0M6L8oSkgmuF5q45WlnwqExQ9lphzbaXXvYSplojfUaOai+W2HwOebmsfy0V7RltMDAiIfYK9xiWFNgx0aZjAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:59.977898Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.3685","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:565f14015d73e787f0b875166c9924ed33afa148d6667180be0882e8ec027ce1","sha256:db76af9fd79160af1e53dfa25dbf169d810a576e647faf698afddaa2a603c220"],"state_sha256":"b9e29a5325c7d297acc93a5000c333fbb7e46f3be48fe2e834e79c34835e712d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BBo62YlDgkCtElMz/l0rq0Z01xbDClVSI2KiGHLgHKoce8JmQFnNdytINnUsy//FqjZxgo57xJj/q4JJMfbHAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T18:54:21.030271Z","bundle_sha256":"d64280cf009e0d6ed92125257316c1c0bbcea9803a6ec182becd437f9fe0b15f"}}