{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7ILKLDOVBF7TVDPLHEMOLJSXHP","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":"5af16fffd89bec4377b68d9c4a68ee3ddc7f015cda5e4b653a08dce68ecd3d1e","cross_cats_sorted":["cond-mat.stat-mech","cs.IT","hep-th","math-ph","math.IT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-03-24T19:48:43Z","title_canon_sha256":"ae8702539f674a2f4e99b4ef7672ebe711c7bf6fe2c0b47fa7e1db3dece6e6d9"},"schema_version":"1.0","source":{"id":"1403.6102","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.6102","created_at":"2026-05-18T02:23:27Z"},{"alias_kind":"arxiv_version","alias_value":"1403.6102v6","created_at":"2026-05-18T02:23:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.6102","created_at":"2026-05-18T02:23:27Z"},{"alias_kind":"pith_short_12","alias_value":"7ILKLDOVBF7T","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7ILKLDOVBF7TVDPL","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7ILKLDOV","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:d059befba4000b1510a4a454aed6598f6a4393bfce279d5938c455115844bbb2","target":"graph","created_at":"2026-05-18T02:23:27Z","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 conditional quantum mutual information $I(A;B|C)$ of a tripartite state $\\rho_{ABC}$ is an information quantity which lies at the center of many problems in quantum information theory. Three of its main properties are that it is non-negative for any tripartite state, that it decreases under local operations applied to systems $A$ and $B$, and that it obeys the duality relation $I(A;B|C)=I(A;B|D)$ for a four-party pure state on systems $ABCD$. The conditional mutual information also underlies the squashed entanglement, an entanglement measure that satisfies all of the axioms desired for an ","authors_text":"Kaushik P. Seshadreesan, Mario Berta, Mark M. Wilde","cross_cats":["cond-mat.stat-mech","cs.IT","hep-th","math-ph","math.IT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-03-24T19:48:43Z","title":"Renyi generalizations of the conditional quantum mutual information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.6102","kind":"arxiv","version":6},"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":"sha256:30a0cd26a8641f0772d7e3a45a522ab99085145e243833b9605b3a87a8ecc052","target":"record","created_at":"2026-05-18T02:23:27Z","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":"5af16fffd89bec4377b68d9c4a68ee3ddc7f015cda5e4b653a08dce68ecd3d1e","cross_cats_sorted":["cond-mat.stat-mech","cs.IT","hep-th","math-ph","math.IT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-03-24T19:48:43Z","title_canon_sha256":"ae8702539f674a2f4e99b4ef7672ebe711c7bf6fe2c0b47fa7e1db3dece6e6d9"},"schema_version":"1.0","source":{"id":"1403.6102","kind":"arxiv","version":6}},"canonical_sha256":"fa16a58dd5097f3a8deb3918e5a6573bdb8ad437b63683c9ccb3a40a0c41f897","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa16a58dd5097f3a8deb3918e5a6573bdb8ad437b63683c9ccb3a40a0c41f897","first_computed_at":"2026-05-18T02:23:27.206188Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:27.206188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CzPIIzubHYvzEqn5VpLc1Cb5yxG30QV2y7OnWMZJcUT49/UO0heEccBfiVTB25Dh8jMP3LTD204P169HBjrDDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:27.206877Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.6102","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30a0cd26a8641f0772d7e3a45a522ab99085145e243833b9605b3a87a8ecc052","sha256:d059befba4000b1510a4a454aed6598f6a4393bfce279d5938c455115844bbb2"],"state_sha256":"ce5baa8f13a2dc5345ceb6937f298ab3dcdf329b5c8f5f42a52ae2faf5e5ed00"}