{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:Z576T7C7T6AXPAP7DOOXM557UI","short_pith_number":"pith:Z576T7C7","canonical_record":{"source":{"id":"1409.5658","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-19T13:45:45Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"e23d8bc4c5953516de69e794345c8457b89891b53b0b74df19de9fce8203e4f3","abstract_canon_sha256":"99d567d6b4eda317207dd7ddf84d6fe67e71567ab5c19f90e1d967fdeeb16ae3"},"schema_version":"1.0"},"canonical_sha256":"cf7fe9fc5f9f817781ff1b9d7677bfa22b2f4ae8934705fe7e4909d3d3f23b9e","source":{"kind":"arxiv","id":"1409.5658","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5658","created_at":"2026-05-18T02:42:26Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5658v1","created_at":"2026-05-18T02:42:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5658","created_at":"2026-05-18T02:42:26Z"},{"alias_kind":"pith_short_12","alias_value":"Z576T7C7T6AX","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z576T7C7T6AXPAP7","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z576T7C7","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:Z576T7C7T6AXPAP7DOOXM557UI","target":"record","payload":{"canonical_record":{"source":{"id":"1409.5658","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-19T13:45:45Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"e23d8bc4c5953516de69e794345c8457b89891b53b0b74df19de9fce8203e4f3","abstract_canon_sha256":"99d567d6b4eda317207dd7ddf84d6fe67e71567ab5c19f90e1d967fdeeb16ae3"},"schema_version":"1.0"},"canonical_sha256":"cf7fe9fc5f9f817781ff1b9d7677bfa22b2f4ae8934705fe7e4909d3d3f23b9e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:26.674122Z","signature_b64":"klnDdzZKlFnuPuYU0kJwipXJ96MWnhLbL9nWiWwuQxHJ8UKEFwdQ4DJ2rG7TAPL1612Ya6+BDgnCdktTJVCsCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf7fe9fc5f9f817781ff1b9d7677bfa22b2f4ae8934705fe7e4909d3d3f23b9e","last_reissued_at":"2026-05-18T02:42:26.673367Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:26.673367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.5658","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":"2026-05-18T02:42:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tJuI12Jqa7bklw0ybEnwkzWQWbtKmakRua12tFlbiAFn8BUe9kZ/91hYe1q1cRoIR5/PsoBCwIpO27EI4X+YCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:39:47.224257Z"},"content_sha256":"c97f6c19e5faeba8052235e3ce071036a6b91fe826ea560fa30c88847812de64","schema_version":"1.0","event_id":"sha256:c97f6c19e5faeba8052235e3ce071036a6b91fe826ea560fa30c88847812de64"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:Z576T7C7T6AXPAP7DOOXM557UI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An example of a quantum statistical model which cannot be mapped to a less informative one by any trace preserving positive map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"quant-ph","authors_text":"Keiji Matsumoto","submitted_at":"2014-09-19T13:45:45Z","abstract_excerpt":"Comparison of statistical models (experiments) is an important branch of mathematical statistics, which gives deep insights in many aspects of foundation of statistics. So far, there are two quantum versions of the concept: Comparison with respect to classical tasks and full quantum tasks. In the latter version, a quantum statistical model is more informative than another if and only if a trace preserving positive map sends the former to the latter. On the other hand, in the former version, the existence of a trace preserving positive map sending the former to the latter is a useful sufficient"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5658","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":"2026-05-18T02:42:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UMP4x8VZJJiZnH/gWNN7rUaDGKbq3KH6rUYNwaEAxWjaunCDMie4IH8tBn0BIX2yDNBX4gMOPRgr39/0Xf9VCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:39:47.225036Z"},"content_sha256":"bdaeabc4750cd204b83fcfc7ce7082c91b547fffb0e2de5a95334214672079dd","schema_version":"1.0","event_id":"sha256:bdaeabc4750cd204b83fcfc7ce7082c91b547fffb0e2de5a95334214672079dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z576T7C7T6AXPAP7DOOXM557UI/bundle.json","state_url":"https://pith.science/pith/Z576T7C7T6AXPAP7DOOXM557UI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z576T7C7T6AXPAP7DOOXM557UI/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":"2026-05-25T18:39:47Z","links":{"resolver":"https://pith.science/pith/Z576T7C7T6AXPAP7DOOXM557UI","bundle":"https://pith.science/pith/Z576T7C7T6AXPAP7DOOXM557UI/bundle.json","state":"https://pith.science/pith/Z576T7C7T6AXPAP7DOOXM557UI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z576T7C7T6AXPAP7DOOXM557UI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:Z576T7C7T6AXPAP7DOOXM557UI","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":"99d567d6b4eda317207dd7ddf84d6fe67e71567ab5c19f90e1d967fdeeb16ae3","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-19T13:45:45Z","title_canon_sha256":"e23d8bc4c5953516de69e794345c8457b89891b53b0b74df19de9fce8203e4f3"},"schema_version":"1.0","source":{"id":"1409.5658","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5658","created_at":"2026-05-18T02:42:26Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5658v1","created_at":"2026-05-18T02:42:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5658","created_at":"2026-05-18T02:42:26Z"},{"alias_kind":"pith_short_12","alias_value":"Z576T7C7T6AX","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z576T7C7T6AXPAP7","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z576T7C7","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:bdaeabc4750cd204b83fcfc7ce7082c91b547fffb0e2de5a95334214672079dd","target":"graph","created_at":"2026-05-18T02:42:26Z","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":"Comparison of statistical models (experiments) is an important branch of mathematical statistics, which gives deep insights in many aspects of foundation of statistics. So far, there are two quantum versions of the concept: Comparison with respect to classical tasks and full quantum tasks. In the latter version, a quantum statistical model is more informative than another if and only if a trace preserving positive map sends the former to the latter. On the other hand, in the former version, the existence of a trace preserving positive map sending the former to the latter is a useful sufficient","authors_text":"Keiji Matsumoto","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-19T13:45:45Z","title":"An example of a quantum statistical model which cannot be mapped to a less informative one by any trace preserving positive map"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5658","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:c97f6c19e5faeba8052235e3ce071036a6b91fe826ea560fa30c88847812de64","target":"record","created_at":"2026-05-18T02:42:26Z","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":"99d567d6b4eda317207dd7ddf84d6fe67e71567ab5c19f90e1d967fdeeb16ae3","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-19T13:45:45Z","title_canon_sha256":"e23d8bc4c5953516de69e794345c8457b89891b53b0b74df19de9fce8203e4f3"},"schema_version":"1.0","source":{"id":"1409.5658","kind":"arxiv","version":1}},"canonical_sha256":"cf7fe9fc5f9f817781ff1b9d7677bfa22b2f4ae8934705fe7e4909d3d3f23b9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf7fe9fc5f9f817781ff1b9d7677bfa22b2f4ae8934705fe7e4909d3d3f23b9e","first_computed_at":"2026-05-18T02:42:26.673367Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:26.673367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"klnDdzZKlFnuPuYU0kJwipXJ96MWnhLbL9nWiWwuQxHJ8UKEFwdQ4DJ2rG7TAPL1612Ya6+BDgnCdktTJVCsCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:26.674122Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5658","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c97f6c19e5faeba8052235e3ce071036a6b91fe826ea560fa30c88847812de64","sha256:bdaeabc4750cd204b83fcfc7ce7082c91b547fffb0e2de5a95334214672079dd"],"state_sha256":"48a36b406f820da2f088e60c8d0782ad56c1a6ffc9525a9a62079a2914b24f2c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0GIA1M6YODCR4cotbF1JohtISABrCA/yQ+7hWdwbLMvsFhfhqLzl9/Eg1c4DCYxkeiFKCePw2Hlis1SA754eBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:39:47.229190Z","bundle_sha256":"f7232300b6b53b0d90957b320dd6779627af9616036191a55df1d740dd4afaaa"}}