{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:UB6W5AD7HJ5MKI4LYN6PGO5X4O","short_pith_number":"pith:UB6W5AD7","canonical_record":{"source":{"id":"quant-ph/0203003","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2002-03-01T14:52:41Z","cross_cats_sorted":[],"title_canon_sha256":"9954f0ceb425ac24d7b190b87dfb51b40cd22347f4ef740a88c8555f8584a659","abstract_canon_sha256":"fcfacd5c30b0d630bff7c2f2010f8a0706bbf45bc93ee93e366118f397e0ebb5"},"schema_version":"1.0"},"canonical_sha256":"a07d6e807f3a7ac5238bc37cf33bb7e38b566fadb7035767e1c7b5436510dff8","source":{"kind":"arxiv","id":"quant-ph/0203003","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0203003","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0203003v1","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0203003","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"pith_short_12","alias_value":"UB6W5AD7HJ5M","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"UB6W5AD7HJ5MKI4L","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"UB6W5AD7","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:UB6W5AD7HJ5MKI4LYN6PGO5X4O","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0203003","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2002-03-01T14:52:41Z","cross_cats_sorted":[],"title_canon_sha256":"9954f0ceb425ac24d7b190b87dfb51b40cd22347f4ef740a88c8555f8584a659","abstract_canon_sha256":"fcfacd5c30b0d630bff7c2f2010f8a0706bbf45bc93ee93e366118f397e0ebb5"},"schema_version":"1.0"},"canonical_sha256":"a07d6e807f3a7ac5238bc37cf33bb7e38b566fadb7035767e1c7b5436510dff8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:02.086661Z","signature_b64":"f6MLF5EgaGXHroN8Fp+oXPUv3Nn4yCys7vKlCXCFRufE2b+8JqNQuRhggZBVyi+0hiThwNG011vpWKLvPtUTCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a07d6e807f3a7ac5238bc37cf33bb7e38b566fadb7035767e1c7b5436510dff8","last_reissued_at":"2026-05-18T01:38:02.086021Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:02.086021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0203003","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":"2026-05-18T01:38:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GmVoQltpespCG9u3mwq/wtPMyXby1nis2K+Y77MWbNWnet02J5RYcaYuhnxxCqQXTQrwiK7jGZYTfKi6S+eLBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T08:54:17.048087Z"},"content_sha256":"ac58eb464c57aaf6ff31bfca0d936cfdb7e7c74e44b42ecbf102b15f865201ff","schema_version":"1.0","event_id":"sha256:ac58eb464c57aaf6ff31bfca0d936cfdb7e7c74e44b42ecbf102b15f865201ff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:UB6W5AD7HJ5MKI4LYN6PGO5X4O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Counterexample to an additivity conjecture for output purity of quantum channels","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A.S. Holevo, R.F. Werner","submitted_at":"2002-03-01T14:52:41Z","abstract_excerpt":"A conjecture arising naturally in the investigation of additivity of classical information capacity of quantum channels states that the maximal purity of outputs from a quantum channel, as measured by the p-norm, should be multiplicative with respect to the tensor product of channels. We disprove this conjecture for p>4.79. The same example (with p=infinity) also disproves a conjecture for the multiplicativity of the injective norm of Hilbert space tensor products."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0203003","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":"2026-05-18T01:38:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vgQiX2ATRy5UPtgsUTOz58+sgKef07+vUUD8ePCFmAfJbX2rxcWe6VScbu9RPqIOiF2xMzkIv2teX+MBo988DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T08:54:17.048463Z"},"content_sha256":"8ed1b3dd86d89728dcf0b41d9593179e1428525c7d9c7ca9eeafeabb547e95c6","schema_version":"1.0","event_id":"sha256:8ed1b3dd86d89728dcf0b41d9593179e1428525c7d9c7ca9eeafeabb547e95c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UB6W5AD7HJ5MKI4LYN6PGO5X4O/bundle.json","state_url":"https://pith.science/pith/UB6W5AD7HJ5MKI4LYN6PGO5X4O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UB6W5AD7HJ5MKI4LYN6PGO5X4O/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":"2026-06-23T08:54:17Z","links":{"resolver":"https://pith.science/pith/UB6W5AD7HJ5MKI4LYN6PGO5X4O","bundle":"https://pith.science/pith/UB6W5AD7HJ5MKI4LYN6PGO5X4O/bundle.json","state":"https://pith.science/pith/UB6W5AD7HJ5MKI4LYN6PGO5X4O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UB6W5AD7HJ5MKI4LYN6PGO5X4O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:UB6W5AD7HJ5MKI4LYN6PGO5X4O","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":"fcfacd5c30b0d630bff7c2f2010f8a0706bbf45bc93ee93e366118f397e0ebb5","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2002-03-01T14:52:41Z","title_canon_sha256":"9954f0ceb425ac24d7b190b87dfb51b40cd22347f4ef740a88c8555f8584a659"},"schema_version":"1.0","source":{"id":"quant-ph/0203003","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0203003","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0203003v1","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0203003","created_at":"2026-05-18T01:38:02Z"},{"alias_kind":"pith_short_12","alias_value":"UB6W5AD7HJ5M","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"UB6W5AD7HJ5MKI4L","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"UB6W5AD7","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:8ed1b3dd86d89728dcf0b41d9593179e1428525c7d9c7ca9eeafeabb547e95c6","target":"graph","created_at":"2026-05-18T01:38:02Z","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":"A conjecture arising naturally in the investigation of additivity of classical information capacity of quantum channels states that the maximal purity of outputs from a quantum channel, as measured by the p-norm, should be multiplicative with respect to the tensor product of channels. We disprove this conjecture for p>4.79. The same example (with p=infinity) also disproves a conjecture for the multiplicativity of the injective norm of Hilbert space tensor products.","authors_text":"A.S. Holevo, R.F. Werner","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2002-03-01T14:52:41Z","title":"Counterexample to an additivity conjecture for output purity of quantum channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0203003","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:ac58eb464c57aaf6ff31bfca0d936cfdb7e7c74e44b42ecbf102b15f865201ff","target":"record","created_at":"2026-05-18T01:38:02Z","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":"fcfacd5c30b0d630bff7c2f2010f8a0706bbf45bc93ee93e366118f397e0ebb5","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2002-03-01T14:52:41Z","title_canon_sha256":"9954f0ceb425ac24d7b190b87dfb51b40cd22347f4ef740a88c8555f8584a659"},"schema_version":"1.0","source":{"id":"quant-ph/0203003","kind":"arxiv","version":1}},"canonical_sha256":"a07d6e807f3a7ac5238bc37cf33bb7e38b566fadb7035767e1c7b5436510dff8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a07d6e807f3a7ac5238bc37cf33bb7e38b566fadb7035767e1c7b5436510dff8","first_computed_at":"2026-05-18T01:38:02.086021Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:02.086021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f6MLF5EgaGXHroN8Fp+oXPUv3Nn4yCys7vKlCXCFRufE2b+8JqNQuRhggZBVyi+0hiThwNG011vpWKLvPtUTCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:02.086661Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0203003","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac58eb464c57aaf6ff31bfca0d936cfdb7e7c74e44b42ecbf102b15f865201ff","sha256:8ed1b3dd86d89728dcf0b41d9593179e1428525c7d9c7ca9eeafeabb547e95c6"],"state_sha256":"1028e55f358d86c2d5148930ed717975344b4ce8ce84f1e1fa8135d766968926"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fp+JKx+UmaQvtIQEyv0eSwo81yHWqJS7teOAMJPTworPsHAQjXLvgfY35IN1YqsR2/tTSZwm7E33K0cqN2fpDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T08:54:17.050508Z","bundle_sha256":"a716421acc84e7a2fae1a76951afa2eb74bcac0913c5a77418ef0afd6906a06b"}}