{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:R2H7MFNBVIM3AWM4Q5GMJOSPF5","short_pith_number":"pith:R2H7MFNB","canonical_record":{"source":{"id":"quant-ph/9803058","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"1998-03-22T04:51:03Z","cross_cats_sorted":[],"title_canon_sha256":"8c26ab85b8e566f7dc6569b4a2217ccf3b1c48eeaa5801be28691f6e79eb7ea8","abstract_canon_sha256":"e6d74a86b7aea121c05a84e341ef5180ca70536448b5a6b5d5335413acee80f0"},"schema_version":"1.0"},"canonical_sha256":"8e8ff615a1aa19b0599c874cc4ba4f2f4ad65815d986cf64d60bc38a4bf121e7","source":{"kind":"arxiv","id":"quant-ph/9803058","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9803058","created_at":"2026-07-04T16:10:28Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9803058v2","created_at":"2026-07-04T16:10:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9803058","created_at":"2026-07-04T16:10:28Z"},{"alias_kind":"pith_short_12","alias_value":"R2H7MFNBVIM3","created_at":"2026-07-04T16:10:28Z"},{"alias_kind":"pith_short_16","alias_value":"R2H7MFNBVIM3AWM4","created_at":"2026-07-04T16:10:28Z"},{"alias_kind":"pith_short_8","alias_value":"R2H7MFNB","created_at":"2026-07-04T16:10:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:R2H7MFNBVIM3AWM4Q5GMJOSPF5","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/9803058","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"1998-03-22T04:51:03Z","cross_cats_sorted":[],"title_canon_sha256":"8c26ab85b8e566f7dc6569b4a2217ccf3b1c48eeaa5801be28691f6e79eb7ea8","abstract_canon_sha256":"e6d74a86b7aea121c05a84e341ef5180ca70536448b5a6b5d5335413acee80f0"},"schema_version":"1.0"},"canonical_sha256":"8e8ff615a1aa19b0599c874cc4ba4f2f4ad65815d986cf64d60bc38a4bf121e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:10:28.527596Z","signature_b64":"epNpexcCIMKOD16CZsAdjPPNYIzzAKXAQdT1t2GI0CFigZrma9r58mFTJCQ6Mt5J2xyhE1GP77MGjqE7K/3lAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e8ff615a1aa19b0599c874cc4ba4f2f4ad65815d986cf64d60bc38a4bf121e7","last_reissued_at":"2026-07-04T16:10:28.527192Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:10:28.527192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/9803058","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":"2026-07-04T16:10:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WX3PaJZlzzypGwFijQY1j0hI6Ed0L7hnlls1XTeCZFk7+as3+CkYSXMRlFnA8rOLjhOaI1Hea4mrbMXOZsrgBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T03:33:33.038660Z"},"content_sha256":"2ede85a1221773d1c8ea8beea702c702ca4a7b995fc068da2daa9b64aff0a35d","schema_version":"1.0","event_id":"sha256:2ede85a1221773d1c8ea8beea702c702ca4a7b995fc068da2daa9b64aff0a35d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:R2H7MFNBVIM3AWM4Q5GMJOSPF5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum cloning and the capacity of the Pauli channel","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Nicolas J. Cerf (Caltech)","submitted_at":"1998-03-22T04:51:03Z","abstract_excerpt":"A family of quantum cloning machines is introduced that produce two approximate copies from a single quantum bit, while the overall input-to-output operation for each copy is a Pauli channel. A no-cloning inequality is derived, describing the balance between the quality of the two copies. This also provides an upper bound on the quantum capacity of the Pauli channel with probabilities $p_x$, $p_y$ and $p_z$. The capacity is shown to be vanishing if $(\\sqrt{p_x},\\sqrt{p_y},\\sqrt{p_z})$ lies outside an ellipsoid whose pole coincides with the depolarizing channel that underlies the universal clon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9803058","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/9803058/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":"2026-07-04T16:10:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZrPfFhbjfl0HEh3RIq1jxd7mYt7lNZbtx6TVetzghWe4/Y8YNo3np5J63/WVIqeIS6jOXfsnC/+vaC143DBgCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T03:33:33.039026Z"},"content_sha256":"2f3ab4ae6bc27c4a5a4d44fe08fa27b452b8ac427849119ad2b516d795736912","schema_version":"1.0","event_id":"sha256:2f3ab4ae6bc27c4a5a4d44fe08fa27b452b8ac427849119ad2b516d795736912"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R2H7MFNBVIM3AWM4Q5GMJOSPF5/bundle.json","state_url":"https://pith.science/pith/R2H7MFNBVIM3AWM4Q5GMJOSPF5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R2H7MFNBVIM3AWM4Q5GMJOSPF5/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":"2026-07-05T03:33:33Z","links":{"resolver":"https://pith.science/pith/R2H7MFNBVIM3AWM4Q5GMJOSPF5","bundle":"https://pith.science/pith/R2H7MFNBVIM3AWM4Q5GMJOSPF5/bundle.json","state":"https://pith.science/pith/R2H7MFNBVIM3AWM4Q5GMJOSPF5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R2H7MFNBVIM3AWM4Q5GMJOSPF5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:R2H7MFNBVIM3AWM4Q5GMJOSPF5","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":"e6d74a86b7aea121c05a84e341ef5180ca70536448b5a6b5d5335413acee80f0","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1998-03-22T04:51:03Z","title_canon_sha256":"8c26ab85b8e566f7dc6569b4a2217ccf3b1c48eeaa5801be28691f6e79eb7ea8"},"schema_version":"1.0","source":{"id":"quant-ph/9803058","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9803058","created_at":"2026-07-04T16:10:28Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9803058v2","created_at":"2026-07-04T16:10:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9803058","created_at":"2026-07-04T16:10:28Z"},{"alias_kind":"pith_short_12","alias_value":"R2H7MFNBVIM3","created_at":"2026-07-04T16:10:28Z"},{"alias_kind":"pith_short_16","alias_value":"R2H7MFNBVIM3AWM4","created_at":"2026-07-04T16:10:28Z"},{"alias_kind":"pith_short_8","alias_value":"R2H7MFNB","created_at":"2026-07-04T16:10:28Z"}],"graph_snapshots":[{"event_id":"sha256:2f3ab4ae6bc27c4a5a4d44fe08fa27b452b8ac427849119ad2b516d795736912","target":"graph","created_at":"2026-07-04T16:10:28Z","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/9803058/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A family of quantum cloning machines is introduced that produce two approximate copies from a single quantum bit, while the overall input-to-output operation for each copy is a Pauli channel. A no-cloning inequality is derived, describing the balance between the quality of the two copies. This also provides an upper bound on the quantum capacity of the Pauli channel with probabilities $p_x$, $p_y$ and $p_z$. The capacity is shown to be vanishing if $(\\sqrt{p_x},\\sqrt{p_y},\\sqrt{p_z})$ lies outside an ellipsoid whose pole coincides with the depolarizing channel that underlies the universal clon","authors_text":"Nicolas J. Cerf (Caltech)","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1998-03-22T04:51:03Z","title":"Quantum cloning and the capacity of the Pauli channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9803058","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":"sha256:2ede85a1221773d1c8ea8beea702c702ca4a7b995fc068da2daa9b64aff0a35d","target":"record","created_at":"2026-07-04T16:10:28Z","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":"e6d74a86b7aea121c05a84e341ef5180ca70536448b5a6b5d5335413acee80f0","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1998-03-22T04:51:03Z","title_canon_sha256":"8c26ab85b8e566f7dc6569b4a2217ccf3b1c48eeaa5801be28691f6e79eb7ea8"},"schema_version":"1.0","source":{"id":"quant-ph/9803058","kind":"arxiv","version":2}},"canonical_sha256":"8e8ff615a1aa19b0599c874cc4ba4f2f4ad65815d986cf64d60bc38a4bf121e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e8ff615a1aa19b0599c874cc4ba4f2f4ad65815d986cf64d60bc38a4bf121e7","first_computed_at":"2026-07-04T16:10:28.527192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:10:28.527192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"epNpexcCIMKOD16CZsAdjPPNYIzzAKXAQdT1t2GI0CFigZrma9r58mFTJCQ6Mt5J2xyhE1GP77MGjqE7K/3lAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:10:28.527596Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9803058","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ede85a1221773d1c8ea8beea702c702ca4a7b995fc068da2daa9b64aff0a35d","sha256:2f3ab4ae6bc27c4a5a4d44fe08fa27b452b8ac427849119ad2b516d795736912"],"state_sha256":"ebbd28d8b81d3342dd557bd0085a1666a18833a62d800bd76103281cf29deacd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fFGANYhu72rffuPjgnrOpAbH9uHolsbKRZV9vMd7GXFl42LMny0RK7sanwEsZZEtyEcad9WAitPnBh4gIsAPAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T03:33:33.040933Z","bundle_sha256":"d5dbe4ff3d572923a48728027cc5435475bc48eb5c7b35d89a3edc26479965db"}}