{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:7LA4XISJROXPW2LFFLKACMR4IT","short_pith_number":"pith:7LA4XISJ","canonical_record":{"source":{"id":"0906.2582","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-06-15T00:26:59Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"d4e1e5b285b8cab22635797d07612fa3718252ca4586c1806b5266e19b818f11","abstract_canon_sha256":"480a80368b007e929b5c75b312f85a168167eda3545abdd34437e9798b57982d"},"schema_version":"1.0"},"canonical_sha256":"fac1cba2498baefb69652ad401323c44fde3596291443237c5a106958fdca069","source":{"kind":"arxiv","id":"0906.2582","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.2582","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"arxiv_version","alias_value":"0906.2582v3","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.2582","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"pith_short_12","alias_value":"7LA4XISJROXP","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"7LA4XISJROXPW2LF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"7LA4XISJ","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:7LA4XISJROXPW2LFFLKACMR4IT","target":"record","payload":{"canonical_record":{"source":{"id":"0906.2582","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-06-15T00:26:59Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"d4e1e5b285b8cab22635797d07612fa3718252ca4586c1806b5266e19b818f11","abstract_canon_sha256":"480a80368b007e929b5c75b312f85a168167eda3545abdd34437e9798b57982d"},"schema_version":"1.0"},"canonical_sha256":"fac1cba2498baefb69652ad401323c44fde3596291443237c5a106958fdca069","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:27:16.446388Z","signature_b64":"qxksyP4ekHcW0TsxEYG4ebmj7oMJ33JZWedx0A9KN9A1MZXzR++XdMjW/PB1fRAw2wwN6KRT70obd03ozzJoDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fac1cba2498baefb69652ad401323c44fde3596291443237c5a106958fdca069","last_reissued_at":"2026-05-18T04:27:16.445773Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:27:16.445773Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0906.2582","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":"2026-05-18T04:27:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XBKGnamSeRRFbY+m2IY5zIuvAPFR4ZdisF2WxgbbiVerlvFB6Nk+3AXQ+e0lOQYWSOYJmvxDyaAfcC35axdyAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:16:02.058267Z"},"content_sha256":"98a139a11a80dd2798166f7d2f894e772bb8810d376e2870e1c27c3863ed87e7","schema_version":"1.0","event_id":"sha256:98a139a11a80dd2798166f7d2f894e772bb8810d376e2870e1c27c3863ed87e7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:7LA4XISJROXPW2LFFLKACMR4IT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strongly Secure Privacy Amplification Cannot Be Obtained by Encoder of Slepian-Wolf Code","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ryutaroh Matsumoto, Shun Watanabe, Tomohiko Uyematsu","submitted_at":"2009-06-15T00:26:59Z","abstract_excerpt":"The privacy amplification is a technique to distill a secret key from a random variable by a function so that the distilled key and eavesdropper's random variable are statistically independent. There are three kinds of security criteria for the key distilled by the privacy amplification: the normalized divergence criterion, which is also known as the weak security criterion, the variational distance criterion, and the divergence criterion, which is also known as the strong security criterion. As a technique to distill a secret key, it is known that the encoder of a Slepian-Wolf (the source cod"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.2582","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":"2026-05-18T04:27:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VPJGFSFdJt/saQljuW7sDMWz+pcToMZlgxKSpdat1w/BJNSiqO8giZf7dOdVMlXJwqns8hZTEK7L/ekoXYYhBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:16:02.059007Z"},"content_sha256":"3a53169c40bd858e7043e1f305abd351c57ce418b5fc23aee449a1df8189166e","schema_version":"1.0","event_id":"sha256:3a53169c40bd858e7043e1f305abd351c57ce418b5fc23aee449a1df8189166e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7LA4XISJROXPW2LFFLKACMR4IT/bundle.json","state_url":"https://pith.science/pith/7LA4XISJROXPW2LFFLKACMR4IT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7LA4XISJROXPW2LFFLKACMR4IT/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":"2026-05-26T21:16:02Z","links":{"resolver":"https://pith.science/pith/7LA4XISJROXPW2LFFLKACMR4IT","bundle":"https://pith.science/pith/7LA4XISJROXPW2LFFLKACMR4IT/bundle.json","state":"https://pith.science/pith/7LA4XISJROXPW2LFFLKACMR4IT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7LA4XISJROXPW2LFFLKACMR4IT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:7LA4XISJROXPW2LFFLKACMR4IT","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":"480a80368b007e929b5c75b312f85a168167eda3545abdd34437e9798b57982d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-06-15T00:26:59Z","title_canon_sha256":"d4e1e5b285b8cab22635797d07612fa3718252ca4586c1806b5266e19b818f11"},"schema_version":"1.0","source":{"id":"0906.2582","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.2582","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"arxiv_version","alias_value":"0906.2582v3","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.2582","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"pith_short_12","alias_value":"7LA4XISJROXP","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"7LA4XISJROXPW2LF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"7LA4XISJ","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:3a53169c40bd858e7043e1f305abd351c57ce418b5fc23aee449a1df8189166e","target":"graph","created_at":"2026-05-18T04:27:16Z","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":"The privacy amplification is a technique to distill a secret key from a random variable by a function so that the distilled key and eavesdropper's random variable are statistically independent. There are three kinds of security criteria for the key distilled by the privacy amplification: the normalized divergence criterion, which is also known as the weak security criterion, the variational distance criterion, and the divergence criterion, which is also known as the strong security criterion. As a technique to distill a secret key, it is known that the encoder of a Slepian-Wolf (the source cod","authors_text":"Ryutaroh Matsumoto, Shun Watanabe, Tomohiko Uyematsu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-06-15T00:26:59Z","title":"Strongly Secure Privacy Amplification Cannot Be Obtained by Encoder of Slepian-Wolf Code"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.2582","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":"sha256:98a139a11a80dd2798166f7d2f894e772bb8810d376e2870e1c27c3863ed87e7","target":"record","created_at":"2026-05-18T04:27:16Z","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":"480a80368b007e929b5c75b312f85a168167eda3545abdd34437e9798b57982d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-06-15T00:26:59Z","title_canon_sha256":"d4e1e5b285b8cab22635797d07612fa3718252ca4586c1806b5266e19b818f11"},"schema_version":"1.0","source":{"id":"0906.2582","kind":"arxiv","version":3}},"canonical_sha256":"fac1cba2498baefb69652ad401323c44fde3596291443237c5a106958fdca069","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fac1cba2498baefb69652ad401323c44fde3596291443237c5a106958fdca069","first_computed_at":"2026-05-18T04:27:16.445773Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:16.445773Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qxksyP4ekHcW0TsxEYG4ebmj7oMJ33JZWedx0A9KN9A1MZXzR++XdMjW/PB1fRAw2wwN6KRT70obd03ozzJoDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:16.446388Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.2582","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98a139a11a80dd2798166f7d2f894e772bb8810d376e2870e1c27c3863ed87e7","sha256:3a53169c40bd858e7043e1f305abd351c57ce418b5fc23aee449a1df8189166e"],"state_sha256":"d8ea9f5d5406d1a02372fd39783964c9a359c3e78ea8b4cbbce95c775d1342b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z/V/MSEkQ9LH63DCIS3h6W5ICGytOxkcJqHlOEAuU2NG0o85SwC59/nk7j1qVfbg2cZiOS+0npe7nAmu+lCWCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T21:16:02.061684Z","bundle_sha256":"e25afa7b7a6f3b2eeba21c5a5118df7970527edcac975dde6cfc12ebe2747239"}}