{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:P53PO5CZSYAL6VNOH2MFBMHQZQ","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":"7ddbac035508be4970c9fe76bd6a33f921561b95cc7470582c3da0e86f3fd203","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-06T16:14:07Z","title_canon_sha256":"d894bc1c00863d1e81582276091d34b3bac59f01f234e458a2b7a6b7e79014dd"},"schema_version":"1.0","source":{"id":"1008.1226","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.1226","created_at":"2026-05-18T04:33:26Z"},{"alias_kind":"arxiv_version","alias_value":"1008.1226v2","created_at":"2026-05-18T04:33:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.1226","created_at":"2026-05-18T04:33:26Z"},{"alias_kind":"pith_short_12","alias_value":"P53PO5CZSYAL","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"P53PO5CZSYAL6VNO","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"P53PO5CZ","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:835954c243fe687a47c99c90d8ca111c8564f9f575080e0feb92d24cdd4af89d","target":"graph","created_at":"2026-05-18T04:33:26Z","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 provide a class of bound entangled states that have positive distillable secure key rate. The smallest state of this kind is 4 \\bigotimes 4. Our class is a generalization of the class presented in [1] (IEEE Trans. Inf. Theory 54, 2621 (2008); arXiv:quant-ph/0506203). It is much wider, containing, in particular, states from the boundary of PPT entangled states (all of the states in the class in [1] were of this kind) but also states inside the set of PPT entangled states, even, approaching the separable states. This generalization comes with a price: for the wider class a positive key rate r","authors_text":"{\\L}ukasz Pankowski, Micha{\\l} Horodecki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-06T16:14:07Z","title":"Low-dimensional quite noisy bound entanglement with cryptographic key"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.1226","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:a0bcdb503a8be09a375b9e4540f236ec95b74a90efa278c76572a4617c562e45","target":"record","created_at":"2026-05-18T04:33:26Z","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":"7ddbac035508be4970c9fe76bd6a33f921561b95cc7470582c3da0e86f3fd203","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-06T16:14:07Z","title_canon_sha256":"d894bc1c00863d1e81582276091d34b3bac59f01f234e458a2b7a6b7e79014dd"},"schema_version":"1.0","source":{"id":"1008.1226","kind":"arxiv","version":2}},"canonical_sha256":"7f76f774599600bf55ae3e9850b0f0cc1ee5b106ba7206d10671bb223925b145","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f76f774599600bf55ae3e9850b0f0cc1ee5b106ba7206d10671bb223925b145","first_computed_at":"2026-05-18T04:33:26.882441Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:26.882441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dXxwLZG8tZ5Lvbs7r9rYUdWNLcMbJ4jVuNlFUQH3O73o63ZnvhwXr4hN+wRW9gzz1dW4YAqIIg3FhMaZ4TokBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:26.883220Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.1226","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0bcdb503a8be09a375b9e4540f236ec95b74a90efa278c76572a4617c562e45","sha256:835954c243fe687a47c99c90d8ca111c8564f9f575080e0feb92d24cdd4af89d"],"state_sha256":"dba7011531e8a1026ed99f4749da3a6240594ab5f3494b630c26471335dfb2bb"}