{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:YBI5NWJQF4CM7XYZA7RNAEWIRX","short_pith_number":"pith:YBI5NWJQ","canonical_record":{"source":{"id":"1110.5746","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-26T09:01:06Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"3848cec3cd61117d5179682feee837aa1e374c43ba7a9d32cc08f0fb9c904b4d","abstract_canon_sha256":"ef058908dc099ebd984b0ecd740fec9e86f6da9e5fe699472e347efcbae3fcf8"},"schema_version":"1.0"},"canonical_sha256":"c051d6d9302f04cfdf1907e2d012c88ddbf000f4ba98096019b2662f4a45bb94","source":{"kind":"arxiv","id":"1110.5746","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5746","created_at":"2026-05-18T04:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5746v3","created_at":"2026-05-18T04:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5746","created_at":"2026-05-18T04:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"YBI5NWJQF4CM","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YBI5NWJQF4CM7XYZ","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YBI5NWJQ","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:YBI5NWJQF4CM7XYZA7RNAEWIRX","target":"record","payload":{"canonical_record":{"source":{"id":"1110.5746","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-26T09:01:06Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"3848cec3cd61117d5179682feee837aa1e374c43ba7a9d32cc08f0fb9c904b4d","abstract_canon_sha256":"ef058908dc099ebd984b0ecd740fec9e86f6da9e5fe699472e347efcbae3fcf8"},"schema_version":"1.0"},"canonical_sha256":"c051d6d9302f04cfdf1907e2d012c88ddbf000f4ba98096019b2662f4a45bb94","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:55.707139Z","signature_b64":"oOF3rK9nBg2ebuHiU1NUnbrFMBHQ1OyIdqZjxIMzhY8D/joDfKtlxiMHV4AO7bTbc1XNda4M5QbdgtwffRiaCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c051d6d9302f04cfdf1907e2d012c88ddbf000f4ba98096019b2662f4a45bb94","last_reissued_at":"2026-05-18T04:03:55.706636Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:55.706636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.5746","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:03:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cC8Qv+7jRh/PNDHBsNA88I0YNRiOTOgP/oOG8JCwmKkvqAcQV60zfw4jU6E9yb4+my3dxwUPub/ptWBUfF3GDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:24:37.590125Z"},"content_sha256":"5a184422d98e3bc53251287e7bf145f0b1d98b0c8b4fc083d277d38d922e85d2","schema_version":"1.0","event_id":"sha256:5a184422d98e3bc53251287e7bf145f0b1d98b0c8b4fc083d277d38d922e85d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:YBI5NWJQF4CM7XYZA7RNAEWIRX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Private and Quantum Capacities of More Capable and Less Noisy Quantum Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Shun Watanabe","submitted_at":"2011-10-26T09:01:06Z","abstract_excerpt":"Two new classes of quantum channels, which we call more capable and less noisy, are introduced. The more capable class consists of channels such that the quantum capacities of the complementary channels to the environments are zero. The less noisy class consists of channels such that the private capacities of the complementary channels to the environment are zero. For the more capable class, it is clarified that the private capacity and quantum capacity coincide. For the less noisy class, it is clarified that the private capacity and quantum capacity can be single letter characterized."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5746","kind":"arxiv","version":3},"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":"2026-05-18T04:03:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"48InD+LmMCoXNZy5zPC3k0L3xZ7p1pl4/XduRKjI/6trOpsH3TtXbQn1qiLhHb/buL77QlkfyFNSzYLHHo8ODQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:24:37.590771Z"},"content_sha256":"a575a69b644ad617dc14992b404334089b75f781181052c5fcc54e2a788d326f","schema_version":"1.0","event_id":"sha256:a575a69b644ad617dc14992b404334089b75f781181052c5fcc54e2a788d326f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YBI5NWJQF4CM7XYZA7RNAEWIRX/bundle.json","state_url":"https://pith.science/pith/YBI5NWJQF4CM7XYZA7RNAEWIRX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YBI5NWJQF4CM7XYZA7RNAEWIRX/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":"2026-05-26T21:24:37Z","links":{"resolver":"https://pith.science/pith/YBI5NWJQF4CM7XYZA7RNAEWIRX","bundle":"https://pith.science/pith/YBI5NWJQF4CM7XYZA7RNAEWIRX/bundle.json","state":"https://pith.science/pith/YBI5NWJQF4CM7XYZA7RNAEWIRX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YBI5NWJQF4CM7XYZA7RNAEWIRX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YBI5NWJQF4CM7XYZA7RNAEWIRX","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":"ef058908dc099ebd984b0ecd740fec9e86f6da9e5fe699472e347efcbae3fcf8","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-26T09:01:06Z","title_canon_sha256":"3848cec3cd61117d5179682feee837aa1e374c43ba7a9d32cc08f0fb9c904b4d"},"schema_version":"1.0","source":{"id":"1110.5746","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5746","created_at":"2026-05-18T04:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5746v3","created_at":"2026-05-18T04:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5746","created_at":"2026-05-18T04:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"YBI5NWJQF4CM","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YBI5NWJQF4CM7XYZ","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YBI5NWJQ","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:a575a69b644ad617dc14992b404334089b75f781181052c5fcc54e2a788d326f","target":"graph","created_at":"2026-05-18T04:03:55Z","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":"Two new classes of quantum channels, which we call more capable and less noisy, are introduced. The more capable class consists of channels such that the quantum capacities of the complementary channels to the environments are zero. The less noisy class consists of channels such that the private capacities of the complementary channels to the environment are zero. For the more capable class, it is clarified that the private capacity and quantum capacity coincide. For the less noisy class, it is clarified that the private capacity and quantum capacity can be single letter characterized.","authors_text":"Shun Watanabe","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-26T09:01:06Z","title":"Private and Quantum Capacities of More Capable and Less Noisy Quantum Channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5746","kind":"arxiv","version":3},"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":"sha256:5a184422d98e3bc53251287e7bf145f0b1d98b0c8b4fc083d277d38d922e85d2","target":"record","created_at":"2026-05-18T04:03:55Z","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":"ef058908dc099ebd984b0ecd740fec9e86f6da9e5fe699472e347efcbae3fcf8","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-26T09:01:06Z","title_canon_sha256":"3848cec3cd61117d5179682feee837aa1e374c43ba7a9d32cc08f0fb9c904b4d"},"schema_version":"1.0","source":{"id":"1110.5746","kind":"arxiv","version":3}},"canonical_sha256":"c051d6d9302f04cfdf1907e2d012c88ddbf000f4ba98096019b2662f4a45bb94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c051d6d9302f04cfdf1907e2d012c88ddbf000f4ba98096019b2662f4a45bb94","first_computed_at":"2026-05-18T04:03:55.706636Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:55.706636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oOF3rK9nBg2ebuHiU1NUnbrFMBHQ1OyIdqZjxIMzhY8D/joDfKtlxiMHV4AO7bTbc1XNda4M5QbdgtwffRiaCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:55.707139Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.5746","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a184422d98e3bc53251287e7bf145f0b1d98b0c8b4fc083d277d38d922e85d2","sha256:a575a69b644ad617dc14992b404334089b75f781181052c5fcc54e2a788d326f"],"state_sha256":"e3cc77ce72f6f387e79a4ecd6f87c6ae14e70d9101331d9fba0d048888d13f4f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4RLahnKfWB2Koo2a+4VPsWfJZPtZFJR+/ak3jzlCvx8gekxQes//XlfK2zcWrj8OhoYIXKTLybEKHVW99zKqDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T21:24:37.594121Z","bundle_sha256":"780da6e1ee1a720c6346dcf7fb1c1a5fd574be8bba45113f0b70f551b9028fb1"}}