{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FB6TPAU32W6TDKA3WIPJJ7ACTA","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":"9da0c648b6041c65e5cc03cd8b740f82e6b84eff2261e7e543113076bee66910","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-07-27T12:54:42Z","title_canon_sha256":"f193ed3c8db928f311bfc78578a8d2671dfc5e0aceae5ead64a5318a02bba859"},"schema_version":"1.0","source":{"id":"1107.5460","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5460","created_at":"2026-05-18T01:25:40Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5460v3","created_at":"2026-05-18T01:25:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5460","created_at":"2026-05-18T01:25:40Z"},{"alias_kind":"pith_short_12","alias_value":"FB6TPAU32W6T","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FB6TPAU32W6TDKA3","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FB6TPAU3","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:776cb93b5b6f65e9c8d21e746db40319e25fd9142984d838b83ca91ec56736a6","target":"graph","created_at":"2026-05-18T01:25:40Z","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 discuss information-theoretic concepts on infinite-dimensional quantum systems. In particular, we lift the smooth entropy formalism as introduced by Renner and collaborators for finite-dimensional systems to von Neumann algebras. For the smooth conditional min- and max-entropy we recover similar characterizing properties and information-theoretic operational interpretations as in the finite-dimensional case. We generalize the entropic uncertainty relation with quantum side information of Tomamichel and Renner and discuss applications to quantum cryptography. In particular, we prove the poss","authors_text":"Fabian Furrer, Mario Berta, Volkher B. Scholz","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-07-27T12:54:42Z","title":"The Smooth Entropy Formalism for von Neumann Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5460","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":"sha256:2ca192b8c8efb165aa1c04729bae9bb06ddc8b6106a6e633373b3abb76ef3d3f","target":"record","created_at":"2026-05-18T01:25:40Z","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":"9da0c648b6041c65e5cc03cd8b740f82e6b84eff2261e7e543113076bee66910","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-07-27T12:54:42Z","title_canon_sha256":"f193ed3c8db928f311bfc78578a8d2671dfc5e0aceae5ead64a5318a02bba859"},"schema_version":"1.0","source":{"id":"1107.5460","kind":"arxiv","version":3}},"canonical_sha256":"287d37829bd5bd31a81bb21e94fc029830688e16108f7cae853446bf44daf0a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"287d37829bd5bd31a81bb21e94fc029830688e16108f7cae853446bf44daf0a3","first_computed_at":"2026-05-18T01:25:40.131372Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:40.131372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"byssGGrsozW+g1FYZ4q1N3UcXrYOkymfiHk/hEsPNjCGNes+znDC7VQrmfS04o2HsSrkRu1PsJIk+ln3aVXVCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:40.131988Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.5460","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ca192b8c8efb165aa1c04729bae9bb06ddc8b6106a6e633373b3abb76ef3d3f","sha256:776cb93b5b6f65e9c8d21e746db40319e25fd9142984d838b83ca91ec56736a6"],"state_sha256":"bec669845e846c791c4f407c038a8b1e18484a996c8bc65e4568e9b70a3267bd"}