{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:A375PFISOZKCR4D7KGUJIF6X6Z","short_pith_number":"pith:A375PFIS","canonical_record":{"source":{"id":"1912.12321","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-12-27T19:44:26Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"38d4283ec284715279ff6645fdb9b6d82fbcee8dcc69e24f8619b50a8e78013d","abstract_canon_sha256":"2bf06ca9354d57c81483d56c04fef7fdbd9b43f8fb2c2f576e6d19c5bb4ac676"},"schema_version":"1.0"},"canonical_sha256":"06ffd79512765428f07f51a89417d7f662a085844c38d7b49c3b0aef18076336","source":{"kind":"arxiv","id":"1912.12321","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.12321","created_at":"2026-07-05T00:28:58Z"},{"alias_kind":"arxiv_version","alias_value":"1912.12321v1","created_at":"2026-07-05T00:28:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.12321","created_at":"2026-07-05T00:28:58Z"},{"alias_kind":"pith_short_12","alias_value":"A375PFISOZKC","created_at":"2026-07-05T00:28:58Z"},{"alias_kind":"pith_short_16","alias_value":"A375PFISOZKCR4D7","created_at":"2026-07-05T00:28:58Z"},{"alias_kind":"pith_short_8","alias_value":"A375PFIS","created_at":"2026-07-05T00:28:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:A375PFISOZKCR4D7KGUJIF6X6Z","target":"record","payload":{"canonical_record":{"source":{"id":"1912.12321","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-12-27T19:44:26Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"38d4283ec284715279ff6645fdb9b6d82fbcee8dcc69e24f8619b50a8e78013d","abstract_canon_sha256":"2bf06ca9354d57c81483d56c04fef7fdbd9b43f8fb2c2f576e6d19c5bb4ac676"},"schema_version":"1.0"},"canonical_sha256":"06ffd79512765428f07f51a89417d7f662a085844c38d7b49c3b0aef18076336","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:28:58.481796Z","signature_b64":"gbPqh8bD9/6/knoLg6wGHetHgMwMXLoWI8NZRWiTS1j0S8JKW8kAECy94tvf8l3px3eLSH4THYOIGMBER2dyDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06ffd79512765428f07f51a89417d7f662a085844c38d7b49c3b0aef18076336","last_reissued_at":"2026-07-05T00:28:58.481443Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:28:58.481443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1912.12321","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":"2026-07-05T00:28:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rpFWcykAEfFEyKPM4LrsxieeZTMVYBxSy+gvXydeWckNeo86K0X78luGSV7lbzug4oRh+DlY62jBUYZz/Zz8Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T05:42:48.938656Z"},"content_sha256":"304b402a01e9dd3031966174baace3425af7560f506fea1acd3cd2c775eb1ea4","schema_version":"1.0","event_id":"sha256:304b402a01e9dd3031966174baace3425af7560f506fea1acd3cd2c775eb1ea4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:A375PFISOZKCR4D7KGUJIF6X6Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Incompatibility probability of random quantum measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Hua Xiang, Lin Zhang, Shao-Ming Fei, Xianqing Li-Jost","submitted_at":"2019-12-27T19:44:26Z","abstract_excerpt":"Incompatibility of quantum measurements is of fundamental importance in quantum mechanics. It is closely related to many nonclassical phenomena such as Bell nonlocality, quantum uncertainty relations, and quantum steering. We study the necessary and sufficient conditions of quantum compatibility for a given collection of $n$ measurements in $d$-dimensional space. From the compatibility criterion for two-qubit measurements, we compute the incompatibility probability of a pair of independent random measurements. For a pair of unbiased random qubit measurements, we derive that the incompatibility"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.12321","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/1912.12321/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":"2026-07-05T00:28:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PKWlUiup8Pc9/Ogqag/rsnqaZxe4+gCe1IEgC+G6cgHqg9jPdo7IMFuxuXU00VCLNlcwmUm+qMveiZ1aKmxbAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T05:42:48.939393Z"},"content_sha256":"d5d92814a50586fa02e078aebdfcb20b383dcdaa034303b4952015c37ba21d65","schema_version":"1.0","event_id":"sha256:d5d92814a50586fa02e078aebdfcb20b383dcdaa034303b4952015c37ba21d65"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A375PFISOZKCR4D7KGUJIF6X6Z/bundle.json","state_url":"https://pith.science/pith/A375PFISOZKCR4D7KGUJIF6X6Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A375PFISOZKCR4D7KGUJIF6X6Z/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":"2026-08-11T05:42:48Z","links":{"resolver":"https://pith.science/pith/A375PFISOZKCR4D7KGUJIF6X6Z","bundle":"https://pith.science/pith/A375PFISOZKCR4D7KGUJIF6X6Z/bundle.json","state":"https://pith.science/pith/A375PFISOZKCR4D7KGUJIF6X6Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A375PFISOZKCR4D7KGUJIF6X6Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:A375PFISOZKCR4D7KGUJIF6X6Z","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":"2bf06ca9354d57c81483d56c04fef7fdbd9b43f8fb2c2f576e6d19c5bb4ac676","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-12-27T19:44:26Z","title_canon_sha256":"38d4283ec284715279ff6645fdb9b6d82fbcee8dcc69e24f8619b50a8e78013d"},"schema_version":"1.0","source":{"id":"1912.12321","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.12321","created_at":"2026-07-05T00:28:58Z"},{"alias_kind":"arxiv_version","alias_value":"1912.12321v1","created_at":"2026-07-05T00:28:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.12321","created_at":"2026-07-05T00:28:58Z"},{"alias_kind":"pith_short_12","alias_value":"A375PFISOZKC","created_at":"2026-07-05T00:28:58Z"},{"alias_kind":"pith_short_16","alias_value":"A375PFISOZKCR4D7","created_at":"2026-07-05T00:28:58Z"},{"alias_kind":"pith_short_8","alias_value":"A375PFIS","created_at":"2026-07-05T00:28:58Z"}],"graph_snapshots":[{"event_id":"sha256:d5d92814a50586fa02e078aebdfcb20b383dcdaa034303b4952015c37ba21d65","target":"graph","created_at":"2026-07-05T00:28:58Z","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/1912.12321/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Incompatibility of quantum measurements is of fundamental importance in quantum mechanics. It is closely related to many nonclassical phenomena such as Bell nonlocality, quantum uncertainty relations, and quantum steering. We study the necessary and sufficient conditions of quantum compatibility for a given collection of $n$ measurements in $d$-dimensional space. From the compatibility criterion for two-qubit measurements, we compute the incompatibility probability of a pair of independent random measurements. For a pair of unbiased random qubit measurements, we derive that the incompatibility","authors_text":"Hua Xiang, Lin Zhang, Shao-Ming Fei, Xianqing Li-Jost","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-12-27T19:44:26Z","title":"Incompatibility probability of random quantum measurements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.12321","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":"sha256:304b402a01e9dd3031966174baace3425af7560f506fea1acd3cd2c775eb1ea4","target":"record","created_at":"2026-07-05T00:28:58Z","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":"2bf06ca9354d57c81483d56c04fef7fdbd9b43f8fb2c2f576e6d19c5bb4ac676","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-12-27T19:44:26Z","title_canon_sha256":"38d4283ec284715279ff6645fdb9b6d82fbcee8dcc69e24f8619b50a8e78013d"},"schema_version":"1.0","source":{"id":"1912.12321","kind":"arxiv","version":1}},"canonical_sha256":"06ffd79512765428f07f51a89417d7f662a085844c38d7b49c3b0aef18076336","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06ffd79512765428f07f51a89417d7f662a085844c38d7b49c3b0aef18076336","first_computed_at":"2026-07-05T00:28:58.481443Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:28:58.481443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gbPqh8bD9/6/knoLg6wGHetHgMwMXLoWI8NZRWiTS1j0S8JKW8kAECy94tvf8l3px3eLSH4THYOIGMBER2dyDA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:28:58.481796Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.12321","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:304b402a01e9dd3031966174baace3425af7560f506fea1acd3cd2c775eb1ea4","sha256:d5d92814a50586fa02e078aebdfcb20b383dcdaa034303b4952015c37ba21d65"],"state_sha256":"f2a9b7c0a84d81ecd5427d905e0c650a538e6d09d9b4ea19fe913a47eb186861"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R3AXTfZobAD5Gtc1eAA+CDe9bh0Hsgx7Vw/Sal01i6WCpo8Rwk0tHFjgCOSa9uU7kuqmzrHM/fVqk76MWJ8oDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T05:42:48.944630Z","bundle_sha256":"1b11e9ebad160b3d04ec6960dc5d474701c8e2239b3cbacda58d10e269c36204"}}