{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:NUSJJQQHPOWWJWR5ZEG3ZV77Y7","short_pith_number":"pith:NUSJJQQH","canonical_record":{"source":{"id":"1003.0703","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-03-02T22:54:12Z","cross_cats_sorted":[],"title_canon_sha256":"4653a45ba6725366271c26c603be4aaa28eef351f229ae14044b68090e70ff6d","abstract_canon_sha256":"7cb8d9b96d7f5911933e07dbd0f4c4477dfc9be084c4d773b516cf9524525288"},"schema_version":"1.0"},"canonical_sha256":"6d2494c2077bad64da3dc90dbcd7ffc7fc30dcd21ca5eabf56a243951bbc4e80","source":{"kind":"arxiv","id":"1003.0703","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.0703","created_at":"2026-05-18T04:20:22Z"},{"alias_kind":"arxiv_version","alias_value":"1003.0703v2","created_at":"2026-05-18T04:20:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.0703","created_at":"2026-05-18T04:20:22Z"},{"alias_kind":"pith_short_12","alias_value":"NUSJJQQHPOWW","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"NUSJJQQHPOWWJWR5","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"NUSJJQQH","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:NUSJJQQHPOWWJWR5ZEG3ZV77Y7","target":"record","payload":{"canonical_record":{"source":{"id":"1003.0703","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-03-02T22:54:12Z","cross_cats_sorted":[],"title_canon_sha256":"4653a45ba6725366271c26c603be4aaa28eef351f229ae14044b68090e70ff6d","abstract_canon_sha256":"7cb8d9b96d7f5911933e07dbd0f4c4477dfc9be084c4d773b516cf9524525288"},"schema_version":"1.0"},"canonical_sha256":"6d2494c2077bad64da3dc90dbcd7ffc7fc30dcd21ca5eabf56a243951bbc4e80","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:22.343156Z","signature_b64":"cfLAlPsUiKwoGdq5DAJEYOr98R7d6ABClSXL9tgSd+nszXiB5u1839PrleLmvi4TaZZrGNfn1zYq6s4LfbhFBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d2494c2077bad64da3dc90dbcd7ffc7fc30dcd21ca5eabf56a243951bbc4e80","last_reissued_at":"2026-05-18T04:20:22.342499Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:22.342499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.0703","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":"2026-05-18T04:20:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mgTcCf3L+IRKxQIn6tCFqmISjZgN2uCCm+Tc3EhiFKRvnDTlqyhXKGKLiElnSGoBPsBrZL7TLWmRuzc6AD/7AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:04:19.088667Z"},"content_sha256":"325c7667d7d1f1e83831e186d45c35f4c67e9ea816510f193ba848b1e6b55133","schema_version":"1.0","event_id":"sha256:325c7667d7d1f1e83831e186d45c35f4c67e9ea816510f193ba848b1e6b55133"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:NUSJJQQHPOWWJWR5ZEG3ZV77Y7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Duality of privacy amplification against quantum adversaries and data compression with quantum side information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Joseph M. Renes","submitted_at":"2010-03-02T22:54:12Z","abstract_excerpt":"We show that the tasks of privacy amplification against quantum adversaries and data compression with quantum side information are dual in the sense that the ability to perform one implies the ability to perform the other. These are two of the most important primitives in classical information theory, and are shown to be connected by complementarity and the uncertainty principle in the quantum setting. Applications include a new uncertainty principle formulated in terms of smooth min- and max-entropies, as well as new conditions for approximate quantum error correction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.0703","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":"2026-05-18T04:20:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cr3db34DCtUp68MJGbOuCzltTdvgurrF0G5M52G72bGhWiz3rCs+NE5ZGlqkNXbGlSWWswb1eywS5PVIsWE6CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:04:19.089012Z"},"content_sha256":"b5aef6503cf54ab3e000592cfb2f078f3a8981bd230e93488d744984b4f8bb1f","schema_version":"1.0","event_id":"sha256:b5aef6503cf54ab3e000592cfb2f078f3a8981bd230e93488d744984b4f8bb1f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NUSJJQQHPOWWJWR5ZEG3ZV77Y7/bundle.json","state_url":"https://pith.science/pith/NUSJJQQHPOWWJWR5ZEG3ZV77Y7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NUSJJQQHPOWWJWR5ZEG3ZV77Y7/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":"2026-06-01T07:04:19Z","links":{"resolver":"https://pith.science/pith/NUSJJQQHPOWWJWR5ZEG3ZV77Y7","bundle":"https://pith.science/pith/NUSJJQQHPOWWJWR5ZEG3ZV77Y7/bundle.json","state":"https://pith.science/pith/NUSJJQQHPOWWJWR5ZEG3ZV77Y7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NUSJJQQHPOWWJWR5ZEG3ZV77Y7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:NUSJJQQHPOWWJWR5ZEG3ZV77Y7","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":"7cb8d9b96d7f5911933e07dbd0f4c4477dfc9be084c4d773b516cf9524525288","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-03-02T22:54:12Z","title_canon_sha256":"4653a45ba6725366271c26c603be4aaa28eef351f229ae14044b68090e70ff6d"},"schema_version":"1.0","source":{"id":"1003.0703","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.0703","created_at":"2026-05-18T04:20:22Z"},{"alias_kind":"arxiv_version","alias_value":"1003.0703v2","created_at":"2026-05-18T04:20:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.0703","created_at":"2026-05-18T04:20:22Z"},{"alias_kind":"pith_short_12","alias_value":"NUSJJQQHPOWW","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"NUSJJQQHPOWWJWR5","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"NUSJJQQH","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:b5aef6503cf54ab3e000592cfb2f078f3a8981bd230e93488d744984b4f8bb1f","target":"graph","created_at":"2026-05-18T04:20:22Z","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":"We show that the tasks of privacy amplification against quantum adversaries and data compression with quantum side information are dual in the sense that the ability to perform one implies the ability to perform the other. These are two of the most important primitives in classical information theory, and are shown to be connected by complementarity and the uncertainty principle in the quantum setting. Applications include a new uncertainty principle formulated in terms of smooth min- and max-entropies, as well as new conditions for approximate quantum error correction.","authors_text":"Joseph M. Renes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-03-02T22:54:12Z","title":"Duality of privacy amplification against quantum adversaries and data compression with quantum side information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.0703","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":"sha256:325c7667d7d1f1e83831e186d45c35f4c67e9ea816510f193ba848b1e6b55133","target":"record","created_at":"2026-05-18T04:20:22Z","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":"7cb8d9b96d7f5911933e07dbd0f4c4477dfc9be084c4d773b516cf9524525288","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-03-02T22:54:12Z","title_canon_sha256":"4653a45ba6725366271c26c603be4aaa28eef351f229ae14044b68090e70ff6d"},"schema_version":"1.0","source":{"id":"1003.0703","kind":"arxiv","version":2}},"canonical_sha256":"6d2494c2077bad64da3dc90dbcd7ffc7fc30dcd21ca5eabf56a243951bbc4e80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d2494c2077bad64da3dc90dbcd7ffc7fc30dcd21ca5eabf56a243951bbc4e80","first_computed_at":"2026-05-18T04:20:22.342499Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:22.342499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cfLAlPsUiKwoGdq5DAJEYOr98R7d6ABClSXL9tgSd+nszXiB5u1839PrleLmvi4TaZZrGNfn1zYq6s4LfbhFBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:22.343156Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.0703","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:325c7667d7d1f1e83831e186d45c35f4c67e9ea816510f193ba848b1e6b55133","sha256:b5aef6503cf54ab3e000592cfb2f078f3a8981bd230e93488d744984b4f8bb1f"],"state_sha256":"457596f03f3a38a54ecc0dbc963d0ec8a67c68523216c86b70b8c093e5f91731"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dRM3xKJrVhQjtAR+A4JWUZrQZTyCOnzssJhwiXRElpYNM6kzw9clL8rNoBf/0qX7HBQ+wHLR+6Q3pQ9lR9nTAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T07:04:19.090910Z","bundle_sha256":"67bbe68019951e6f519dd283aca41830446ca7dc2b69f60b19a0f37e8c3c30ab"}}