{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:WPACCQABFNBRXBRFYRHTEEHH3H","short_pith_number":"pith:WPACCQAB","canonical_record":{"source":{"id":"quant-ph/0506021","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-06-02T15:08:14Z","cross_cats_sorted":[],"title_canon_sha256":"5fd29af81878672416d32d0b76a7cd919321309031b56200d86ef06c06679661","abstract_canon_sha256":"fdf4597e470273849c0d8453ea886f0a3f3dcd48cdea4d018e15efdec43e4e5f"},"schema_version":"1.0"},"canonical_sha256":"b3c02140012b431b8625c44f3210e7d9e2760819457f42fe366a5525bf365601","source":{"kind":"arxiv","id":"quant-ph/0506021","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0506021","created_at":"2026-07-04T16:57:35Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0506021v2","created_at":"2026-07-04T16:57:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0506021","created_at":"2026-07-04T16:57:35Z"},{"alias_kind":"pith_short_12","alias_value":"WPACCQABFNBR","created_at":"2026-07-04T16:57:35Z"},{"alias_kind":"pith_short_16","alias_value":"WPACCQABFNBRXBRF","created_at":"2026-07-04T16:57:35Z"},{"alias_kind":"pith_short_8","alias_value":"WPACCQAB","created_at":"2026-07-04T16:57:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:WPACCQABFNBRXBRFYRHTEEHH3H","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0506021","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-06-02T15:08:14Z","cross_cats_sorted":[],"title_canon_sha256":"5fd29af81878672416d32d0b76a7cd919321309031b56200d86ef06c06679661","abstract_canon_sha256":"fdf4597e470273849c0d8453ea886f0a3f3dcd48cdea4d018e15efdec43e4e5f"},"schema_version":"1.0"},"canonical_sha256":"b3c02140012b431b8625c44f3210e7d9e2760819457f42fe366a5525bf365601","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:57:35.393208Z","signature_b64":"cz5iTriTtWfWVRfkvR4jU0VRm7o5xuvU7zNe1vJI9MVBlkJ7hSjKO0FLg+4SGGfDBOCrvVYZM0jhl1Wl8p90AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3c02140012b431b8625c44f3210e7d9e2760819457f42fe366a5525bf365601","last_reissued_at":"2026-07-04T16:57:35.392875Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:57:35.392875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0506021","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:57:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/YPDYQBrpPevYdwEE/OaaD21UkdY6Twan1zYYKzO8t7FdmpGxHWUu8N+/kwFZqJT4UxtU3pAFrjjJP2kzb/PCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T16:47:57.697349Z"},"content_sha256":"76b1478f9b719dc40604af51a3c783f5151fbc200fffe9e13db9906efe5078ed","schema_version":"1.0","event_id":"sha256:76b1478f9b719dc40604af51a3c783f5151fbc200fffe9e13db9906efe5078ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:WPACCQABFNBRXBRFYRHTEEHH3H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Condition and capability of quantum state separation","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Runyao Duan, Yuan Feng, Zhengfeng Ji","submitted_at":"2005-06-02T15:08:14Z","abstract_excerpt":"The linearity of quantum operations puts many fundamental constraints on the information processing tasks we can achieve on a quantum system whose state is not exactly known, just as we observe in quantum cloning and quantum discrimination. In this paper we show that in probabilistic manner, linearity is in fact the only one that restricts the physically realizable tasks. To be specific, if a system is prepared in a state secretly chosen from a linearly independent pure state set, then any quantum state separation can be physically realized with a positive probability. Furthermore, we derive a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0506021","kind":"arxiv","version":2},"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/0506021/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":"2026-07-04T16:57:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zXp+52lIU5I72ggyjYle3PUyE0lfEBdI2Mvklq6mibHKy1auX4VoVtEiZeDuxOUhWN5NOJnPqqJS6MDOOX+uDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T16:47:57.697731Z"},"content_sha256":"fce4ad1e80ae3031ca423bd7a8df983c5cf2881b2dad23d3a8d6ac3198f0f483","schema_version":"1.0","event_id":"sha256:fce4ad1e80ae3031ca423bd7a8df983c5cf2881b2dad23d3a8d6ac3198f0f483"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WPACCQABFNBRXBRFYRHTEEHH3H/bundle.json","state_url":"https://pith.science/pith/WPACCQABFNBRXBRFYRHTEEHH3H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WPACCQABFNBRXBRFYRHTEEHH3H/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":"2026-08-07T16:47:57Z","links":{"resolver":"https://pith.science/pith/WPACCQABFNBRXBRFYRHTEEHH3H","bundle":"https://pith.science/pith/WPACCQABFNBRXBRFYRHTEEHH3H/bundle.json","state":"https://pith.science/pith/WPACCQABFNBRXBRFYRHTEEHH3H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WPACCQABFNBRXBRFYRHTEEHH3H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:WPACCQABFNBRXBRFYRHTEEHH3H","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":"fdf4597e470273849c0d8453ea886f0a3f3dcd48cdea4d018e15efdec43e4e5f","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2005-06-02T15:08:14Z","title_canon_sha256":"5fd29af81878672416d32d0b76a7cd919321309031b56200d86ef06c06679661"},"schema_version":"1.0","source":{"id":"quant-ph/0506021","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0506021","created_at":"2026-07-04T16:57:35Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0506021v2","created_at":"2026-07-04T16:57:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0506021","created_at":"2026-07-04T16:57:35Z"},{"alias_kind":"pith_short_12","alias_value":"WPACCQABFNBR","created_at":"2026-07-04T16:57:35Z"},{"alias_kind":"pith_short_16","alias_value":"WPACCQABFNBRXBRF","created_at":"2026-07-04T16:57:35Z"},{"alias_kind":"pith_short_8","alias_value":"WPACCQAB","created_at":"2026-07-04T16:57:35Z"}],"graph_snapshots":[{"event_id":"sha256:fce4ad1e80ae3031ca423bd7a8df983c5cf2881b2dad23d3a8d6ac3198f0f483","target":"graph","created_at":"2026-07-04T16:57:35Z","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/0506021/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The linearity of quantum operations puts many fundamental constraints on the information processing tasks we can achieve on a quantum system whose state is not exactly known, just as we observe in quantum cloning and quantum discrimination. In this paper we show that in probabilistic manner, linearity is in fact the only one that restricts the physically realizable tasks. To be specific, if a system is prepared in a state secretly chosen from a linearly independent pure state set, then any quantum state separation can be physically realized with a positive probability. Furthermore, we derive a","authors_text":"Runyao Duan, Yuan Feng, Zhengfeng Ji","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2005-06-02T15:08:14Z","title":"Condition and capability of quantum state separation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0506021","kind":"arxiv","version":2},"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":"sha256:76b1478f9b719dc40604af51a3c783f5151fbc200fffe9e13db9906efe5078ed","target":"record","created_at":"2026-07-04T16:57:35Z","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":"fdf4597e470273849c0d8453ea886f0a3f3dcd48cdea4d018e15efdec43e4e5f","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2005-06-02T15:08:14Z","title_canon_sha256":"5fd29af81878672416d32d0b76a7cd919321309031b56200d86ef06c06679661"},"schema_version":"1.0","source":{"id":"quant-ph/0506021","kind":"arxiv","version":2}},"canonical_sha256":"b3c02140012b431b8625c44f3210e7d9e2760819457f42fe366a5525bf365601","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3c02140012b431b8625c44f3210e7d9e2760819457f42fe366a5525bf365601","first_computed_at":"2026-07-04T16:57:35.392875Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:57:35.392875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cz5iTriTtWfWVRfkvR4jU0VRm7o5xuvU7zNe1vJI9MVBlkJ7hSjKO0FLg+4SGGfDBOCrvVYZM0jhl1Wl8p90AA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:57:35.393208Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0506021","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76b1478f9b719dc40604af51a3c783f5151fbc200fffe9e13db9906efe5078ed","sha256:fce4ad1e80ae3031ca423bd7a8df983c5cf2881b2dad23d3a8d6ac3198f0f483"],"state_sha256":"1a3355c8e1760137cf08435f8140b20e0876a0dcdd6daab58fc1dc9025c98f65"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SLJXys0T1cf33gUcJVRE5pAB9cmvkmitI0pOhRqq/abqy8yxzXQeUpLy3vUaLmvloCT6UqQVspuue07zJXt6Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T16:47:57.700520Z","bundle_sha256":"e0215fdbb6add411ea8e0fcde4e2c8f4dc86c2bf4617dbcefb283ee636b0b6ca"}}