{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:PHZ4HP4LNQGOLPWULKPFPJDDNB","short_pith_number":"pith:PHZ4HP4L","canonical_record":{"source":{"id":"1208.2106","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-10T07:49:19Z","cross_cats_sorted":[],"title_canon_sha256":"440c0aa0f5ecd736588126e10e241e206ee82b437512899a1e3a03704ac689e7","abstract_canon_sha256":"3153853fb96e829e64d1f3ce4a9d900e1ffedb465a451d8e7b649a8cbd87cd25"},"schema_version":"1.0"},"canonical_sha256":"79f3c3bf8b6c0ce5bed45a9e57a4636878ce6a74dd127a7dde534780ee371d5e","source":{"kind":"arxiv","id":"1208.2106","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.2106","created_at":"2026-05-18T03:47:00Z"},{"alias_kind":"arxiv_version","alias_value":"1208.2106v2","created_at":"2026-05-18T03:47:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.2106","created_at":"2026-05-18T03:47:00Z"},{"alias_kind":"pith_short_12","alias_value":"PHZ4HP4LNQGO","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PHZ4HP4LNQGOLPWU","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PHZ4HP4L","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:PHZ4HP4LNQGOLPWULKPFPJDDNB","target":"record","payload":{"canonical_record":{"source":{"id":"1208.2106","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-10T07:49:19Z","cross_cats_sorted":[],"title_canon_sha256":"440c0aa0f5ecd736588126e10e241e206ee82b437512899a1e3a03704ac689e7","abstract_canon_sha256":"3153853fb96e829e64d1f3ce4a9d900e1ffedb465a451d8e7b649a8cbd87cd25"},"schema_version":"1.0"},"canonical_sha256":"79f3c3bf8b6c0ce5bed45a9e57a4636878ce6a74dd127a7dde534780ee371d5e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:47:00.588352Z","signature_b64":"gSIZ1uYEGG1DHnqLrC4DDOfgj5GvW3qRWKSlKyuGbgNiBAWc9Z9dUPF3ihb9S86ux8lf1mrjdBJnlLQ6/tY1BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79f3c3bf8b6c0ce5bed45a9e57a4636878ce6a74dd127a7dde534780ee371d5e","last_reissued_at":"2026-05-18T03:47:00.587830Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:47:00.587830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.2106","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":"2026-05-18T03:47:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VcjnflGdVNsIZSWFTNrREcJil73k/EsASZaE7eip75/42fLFQ8z4a53VgePwda70JfimaQS5bN0gbSJM2JfvBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:50:31.032404Z"},"content_sha256":"a87973a9f63b4df80c0582c79d99926df4733b1a01d3ed3b585bec3aabd27074","schema_version":"1.0","event_id":"sha256:a87973a9f63b4df80c0582c79d99926df4733b1a01d3ed3b585bec3aabd27074"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:PHZ4HP4LNQGOLPWULKPFPJDDNB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Incompleteness and Limit of Quantum Key Distribution Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Osamu Hirota","submitted_at":"2012-08-10T07:49:19Z","abstract_excerpt":"It is claimed in the many papers that a trace distance ($d$) guarantees the universal composition security in quantum key distribution (QKD). In this introduction paper, at first, it is explicitly explained what is the main misconception in the claim of the unconditional security for QKD theory. In general terms, the cause of the misunderstanding on the security claim is the Lemma in the paper of Renner. It suggests that the generation of the perfect random key is assured by the probability $ (1-d)$, and its failure probability is $d$. Thus, it concludes that the generated key provides the per"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.2106","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":""},"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":"2026-05-18T03:47:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0h+3q3xGbcLc/TxbQ03jIVimcmgP3CWgrlrJ+eroT95ZmksrvjtIIbvaEqE2rZmQ9lN0q75ZuXhsZlwbYM8lAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:50:31.032750Z"},"content_sha256":"af2580b97918143ff045564a30891401a8cd27cfea9b2f8b37f350360b1ae1ac","schema_version":"1.0","event_id":"sha256:af2580b97918143ff045564a30891401a8cd27cfea9b2f8b37f350360b1ae1ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PHZ4HP4LNQGOLPWULKPFPJDDNB/bundle.json","state_url":"https://pith.science/pith/PHZ4HP4LNQGOLPWULKPFPJDDNB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PHZ4HP4LNQGOLPWULKPFPJDDNB/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":"2026-05-28T12:50:31Z","links":{"resolver":"https://pith.science/pith/PHZ4HP4LNQGOLPWULKPFPJDDNB","bundle":"https://pith.science/pith/PHZ4HP4LNQGOLPWULKPFPJDDNB/bundle.json","state":"https://pith.science/pith/PHZ4HP4LNQGOLPWULKPFPJDDNB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PHZ4HP4LNQGOLPWULKPFPJDDNB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PHZ4HP4LNQGOLPWULKPFPJDDNB","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":"3153853fb96e829e64d1f3ce4a9d900e1ffedb465a451d8e7b649a8cbd87cd25","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-10T07:49:19Z","title_canon_sha256":"440c0aa0f5ecd736588126e10e241e206ee82b437512899a1e3a03704ac689e7"},"schema_version":"1.0","source":{"id":"1208.2106","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.2106","created_at":"2026-05-18T03:47:00Z"},{"alias_kind":"arxiv_version","alias_value":"1208.2106v2","created_at":"2026-05-18T03:47:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.2106","created_at":"2026-05-18T03:47:00Z"},{"alias_kind":"pith_short_12","alias_value":"PHZ4HP4LNQGO","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PHZ4HP4LNQGOLPWU","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PHZ4HP4L","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:af2580b97918143ff045564a30891401a8cd27cfea9b2f8b37f350360b1ae1ac","target":"graph","created_at":"2026-05-18T03:47:00Z","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":"It is claimed in the many papers that a trace distance ($d$) guarantees the universal composition security in quantum key distribution (QKD). In this introduction paper, at first, it is explicitly explained what is the main misconception in the claim of the unconditional security for QKD theory. In general terms, the cause of the misunderstanding on the security claim is the Lemma in the paper of Renner. It suggests that the generation of the perfect random key is assured by the probability $ (1-d)$, and its failure probability is $d$. Thus, it concludes that the generated key provides the per","authors_text":"Osamu Hirota","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-10T07:49:19Z","title":"Incompleteness and Limit of Quantum Key Distribution Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.2106","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:a87973a9f63b4df80c0582c79d99926df4733b1a01d3ed3b585bec3aabd27074","target":"record","created_at":"2026-05-18T03:47:00Z","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":"3153853fb96e829e64d1f3ce4a9d900e1ffedb465a451d8e7b649a8cbd87cd25","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-10T07:49:19Z","title_canon_sha256":"440c0aa0f5ecd736588126e10e241e206ee82b437512899a1e3a03704ac689e7"},"schema_version":"1.0","source":{"id":"1208.2106","kind":"arxiv","version":2}},"canonical_sha256":"79f3c3bf8b6c0ce5bed45a9e57a4636878ce6a74dd127a7dde534780ee371d5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79f3c3bf8b6c0ce5bed45a9e57a4636878ce6a74dd127a7dde534780ee371d5e","first_computed_at":"2026-05-18T03:47:00.587830Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:47:00.587830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gSIZ1uYEGG1DHnqLrC4DDOfgj5GvW3qRWKSlKyuGbgNiBAWc9Z9dUPF3ihb9S86ux8lf1mrjdBJnlLQ6/tY1BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:47:00.588352Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.2106","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a87973a9f63b4df80c0582c79d99926df4733b1a01d3ed3b585bec3aabd27074","sha256:af2580b97918143ff045564a30891401a8cd27cfea9b2f8b37f350360b1ae1ac"],"state_sha256":"b81c3fc6c5e3a44de1be7fffa4defd7096b0e12f04b0e6ffdfe3abcf6fee0d57"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gYXf8pyF6+J77LmRuUR83zoZMkue9g5AdCqh65xzhmwRXkI+Wzs414rN+P69SRdwr8kDl9cib4Fx27/uBbmLDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T12:50:31.034728Z","bundle_sha256":"da428ece06247fa2c6abfaa93eb91d4d7746aea7c43454944bc2366229dfc270"}}