{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:GVRZ5TIZ4LKDU3LQQCMTOCSFAH","short_pith_number":"pith:GVRZ5TIZ","schema_version":"1.0","canonical_sha256":"35639ecd19e2d43a6d708099370a4501e62e75a055c4afa4c0bb21cd3ff62fec","source":{"kind":"arxiv","id":"1205.0842","version":3},"attestation_state":"computed","paper":{"title":"A min-entropy uncertainty relation for finite size cryptography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Mario Berta, Nelly Huei Ying Ng, Stephanie Wehner","submitted_at":"2012-05-04T01:59:33Z","abstract_excerpt":"Apart from their foundational significance, entropic uncertainty relations play a central role in proving the security of quantum cryptographic protocols. Of particular interest are thereby relations in terms of the smooth min-entropy for BB84 and six-state encodings. Previously, strong uncertainty relations were obtained which are valid in the limit of large block lengths. Here, we prove a new uncertainty relation in terms of the smooth min-entropy that is only marginally less strong, but has the crucial property that it can be applied to rather small block lengths. This paves the way for a p"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1205.0842","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-04T01:59:33Z","cross_cats_sorted":[],"title_canon_sha256":"2faf486e5bd95ef54a54f77ce872fed9b92d937f395d5a3b38b295376beecea2","abstract_canon_sha256":"9e0bd47eb188465864f3ffb901d7b5ea7764c7158f4b4b6b5c13f6590464e6c2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:47.959683Z","signature_b64":"0VL7JszYGfMGwjOlKgHWGodyHdYtIiKRszYhHBStOFHLWWllXYvvwU7xiYV6CyyHP5ktfxzIhLBL4yU8ZMhOBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35639ecd19e2d43a6d708099370a4501e62e75a055c4afa4c0bb21cd3ff62fec","last_reissued_at":"2026-05-18T02:30:47.959046Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:47.959046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A min-entropy uncertainty relation for finite size cryptography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Mario Berta, Nelly Huei Ying Ng, Stephanie Wehner","submitted_at":"2012-05-04T01:59:33Z","abstract_excerpt":"Apart from their foundational significance, entropic uncertainty relations play a central role in proving the security of quantum cryptographic protocols. Of particular interest are thereby relations in terms of the smooth min-entropy for BB84 and six-state encodings. Previously, strong uncertainty relations were obtained which are valid in the limit of large block lengths. Here, we prove a new uncertainty relation in terms of the smooth min-entropy that is only marginally less strong, but has the crucial property that it can be applied to rather small block lengths. This paves the way for a p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0842","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1205.0842","created_at":"2026-05-18T02:30:47.959151+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.0842v3","created_at":"2026-05-18T02:30:47.959151+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0842","created_at":"2026-05-18T02:30:47.959151+00:00"},{"alias_kind":"pith_short_12","alias_value":"GVRZ5TIZ4LKD","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"GVRZ5TIZ4LKDU3LQ","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"GVRZ5TIZ","created_at":"2026-05-18T12:27:06.952714+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GVRZ5TIZ4LKDU3LQQCMTOCSFAH","json":"https://pith.science/pith/GVRZ5TIZ4LKDU3LQQCMTOCSFAH.json","graph_json":"https://pith.science/api/pith-number/GVRZ5TIZ4LKDU3LQQCMTOCSFAH/graph.json","events_json":"https://pith.science/api/pith-number/GVRZ5TIZ4LKDU3LQQCMTOCSFAH/events.json","paper":"https://pith.science/paper/GVRZ5TIZ"},"agent_actions":{"view_html":"https://pith.science/pith/GVRZ5TIZ4LKDU3LQQCMTOCSFAH","download_json":"https://pith.science/pith/GVRZ5TIZ4LKDU3LQQCMTOCSFAH.json","view_paper":"https://pith.science/paper/GVRZ5TIZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.0842&json=true","fetch_graph":"https://pith.science/api/pith-number/GVRZ5TIZ4LKDU3LQQCMTOCSFAH/graph.json","fetch_events":"https://pith.science/api/pith-number/GVRZ5TIZ4LKDU3LQQCMTOCSFAH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GVRZ5TIZ4LKDU3LQQCMTOCSFAH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GVRZ5TIZ4LKDU3LQQCMTOCSFAH/action/storage_attestation","attest_author":"https://pith.science/pith/GVRZ5TIZ4LKDU3LQQCMTOCSFAH/action/author_attestation","sign_citation":"https://pith.science/pith/GVRZ5TIZ4LKDU3LQQCMTOCSFAH/action/citation_signature","submit_replication":"https://pith.science/pith/GVRZ5TIZ4LKDU3LQQCMTOCSFAH/action/replication_record"}},"created_at":"2026-05-18T02:30:47.959151+00:00","updated_at":"2026-05-18T02:30:47.959151+00:00"}