{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:64LKQATRHFUVVDF5NVEA2PKYUG","short_pith_number":"pith:64LKQATR","canonical_record":{"source":{"id":"1012.2650","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-13T07:58:44Z","cross_cats_sorted":[],"title_canon_sha256":"aaf065b529d6bfdb7017f7ee0cf9a4bcf96b203a31f04447c54ca5fe4c29b641","abstract_canon_sha256":"cec327b64eeb7ee2eebdc5539d861019cb4a698b581b22f00e6207d46b377efe"},"schema_version":"1.0"},"canonical_sha256":"f716a8027139695a8cbd6d480d3d58a1b87e24e339dd400356ea3807e53b612c","source":{"kind":"arxiv","id":"1012.2650","version":7},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.2650","created_at":"2026-05-18T02:05:24Z"},{"alias_kind":"arxiv_version","alias_value":"1012.2650v7","created_at":"2026-05-18T02:05:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2650","created_at":"2026-05-18T02:05:24Z"},{"alias_kind":"pith_short_12","alias_value":"64LKQATRHFUV","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"64LKQATRHFUVVDF5","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"64LKQATR","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:64LKQATRHFUVVDF5NVEA2PKYUG","target":"record","payload":{"canonical_record":{"source":{"id":"1012.2650","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-13T07:58:44Z","cross_cats_sorted":[],"title_canon_sha256":"aaf065b529d6bfdb7017f7ee0cf9a4bcf96b203a31f04447c54ca5fe4c29b641","abstract_canon_sha256":"cec327b64eeb7ee2eebdc5539d861019cb4a698b581b22f00e6207d46b377efe"},"schema_version":"1.0"},"canonical_sha256":"f716a8027139695a8cbd6d480d3d58a1b87e24e339dd400356ea3807e53b612c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:24.883277Z","signature_b64":"rk+4HcdewU2fe5ZYiBKXaJ/X/6yihPXgJ/t7+nt+pdvoiuLycAuqmkFy5xN2DUCmAElisT235eT5bNEpTo3sBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f716a8027139695a8cbd6d480d3d58a1b87e24e339dd400356ea3807e53b612c","last_reissued_at":"2026-05-18T02:05:24.882807Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:24.882807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.2650","source_version":7,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:05:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hFKMe9o/l66biilqM1UOrfl2FHonakbByjW+VwEuOyDMAYNaEo5nGMjN7EtgX/OR7dKkWFtgn+2OM887L+nTCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T07:19:05.327788Z"},"content_sha256":"12bf01ece945f84df51ce99f8480b9c37b333c16b26d7e6939e080238366cd3f","schema_version":"1.0","event_id":"sha256:12bf01ece945f84df51ce99f8480b9c37b333c16b26d7e6939e080238366cd3f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:64LKQATRHFUVVDF5NVEA2PKYUG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A quantum version of randomization criterion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Keiji Matsumoto","submitted_at":"2010-12-13T07:58:44Z","abstract_excerpt":"In classical statistical decision theory, comparison of experiments plays very important role. Especially, so-called randomization criteria is most important. In this paper, we establish two kinds of quantum analogue these concepts, and apply to some examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2650","kind":"arxiv","version":7},"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":"2026-05-18T02:05:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RneBpjrT3yj0Wx3f+GUUiqxSj/gyCmwXu/R3G3/Au8tCmfrndmgwtyGy2NCrA8k2O8tgP32gTfZfS8BbAZnyAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T07:19:05.328135Z"},"content_sha256":"3385bd6fa0516babcaab6416ecad108d5e36a5ea50514f79c025fc2d34a8e723","schema_version":"1.0","event_id":"sha256:3385bd6fa0516babcaab6416ecad108d5e36a5ea50514f79c025fc2d34a8e723"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/64LKQATRHFUVVDF5NVEA2PKYUG/bundle.json","state_url":"https://pith.science/pith/64LKQATRHFUVVDF5NVEA2PKYUG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/64LKQATRHFUVVDF5NVEA2PKYUG/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":"2026-07-04T07:19:05Z","links":{"resolver":"https://pith.science/pith/64LKQATRHFUVVDF5NVEA2PKYUG","bundle":"https://pith.science/pith/64LKQATRHFUVVDF5NVEA2PKYUG/bundle.json","state":"https://pith.science/pith/64LKQATRHFUVVDF5NVEA2PKYUG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/64LKQATRHFUVVDF5NVEA2PKYUG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:64LKQATRHFUVVDF5NVEA2PKYUG","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":"cec327b64eeb7ee2eebdc5539d861019cb4a698b581b22f00e6207d46b377efe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-13T07:58:44Z","title_canon_sha256":"aaf065b529d6bfdb7017f7ee0cf9a4bcf96b203a31f04447c54ca5fe4c29b641"},"schema_version":"1.0","source":{"id":"1012.2650","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.2650","created_at":"2026-05-18T02:05:24Z"},{"alias_kind":"arxiv_version","alias_value":"1012.2650v7","created_at":"2026-05-18T02:05:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2650","created_at":"2026-05-18T02:05:24Z"},{"alias_kind":"pith_short_12","alias_value":"64LKQATRHFUV","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"64LKQATRHFUVVDF5","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"64LKQATR","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:3385bd6fa0516babcaab6416ecad108d5e36a5ea50514f79c025fc2d34a8e723","target":"graph","created_at":"2026-05-18T02:05:24Z","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":"In classical statistical decision theory, comparison of experiments plays very important role. Especially, so-called randomization criteria is most important. In this paper, we establish two kinds of quantum analogue these concepts, and apply to some examples.","authors_text":"Keiji Matsumoto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-13T07:58:44Z","title":"A quantum version of randomization criterion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2650","kind":"arxiv","version":7},"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":"sha256:12bf01ece945f84df51ce99f8480b9c37b333c16b26d7e6939e080238366cd3f","target":"record","created_at":"2026-05-18T02:05:24Z","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":"cec327b64eeb7ee2eebdc5539d861019cb4a698b581b22f00e6207d46b377efe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-13T07:58:44Z","title_canon_sha256":"aaf065b529d6bfdb7017f7ee0cf9a4bcf96b203a31f04447c54ca5fe4c29b641"},"schema_version":"1.0","source":{"id":"1012.2650","kind":"arxiv","version":7}},"canonical_sha256":"f716a8027139695a8cbd6d480d3d58a1b87e24e339dd400356ea3807e53b612c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f716a8027139695a8cbd6d480d3d58a1b87e24e339dd400356ea3807e53b612c","first_computed_at":"2026-05-18T02:05:24.882807Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:24.882807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rk+4HcdewU2fe5ZYiBKXaJ/X/6yihPXgJ/t7+nt+pdvoiuLycAuqmkFy5xN2DUCmAElisT235eT5bNEpTo3sBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:24.883277Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.2650","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12bf01ece945f84df51ce99f8480b9c37b333c16b26d7e6939e080238366cd3f","sha256:3385bd6fa0516babcaab6416ecad108d5e36a5ea50514f79c025fc2d34a8e723"],"state_sha256":"b5f06408829a995f4b8cc8351f38e3eec3b6bddf76edc377c2ff537879f84d4f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ob5SoFG9llF09M+oBv1U0++RcVuT9GrIodAECncil6xuoT7NLJVw1cow3+eJLkrLIoEZcnH3iP1bLxXc7rhpDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T07:19:05.330300Z","bundle_sha256":"97d9f1f9fc037432934fbbebbdf9505f6d38d0d57b9d03ba7b8a9931497fb88b"}}