{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VB33ISRHAA4RTGRHQSPJGKELL3","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":"793a2466615ce369bd259831d1094fe74e0f979e78129f09f7c535df6ec1bd47","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-26T02:22:05Z","title_canon_sha256":"1adaacc650cfbeca5466b7599d6ec64da0a87a3ab215c822cc0e26270508a863"},"schema_version":"1.0","source":{"id":"2607.23416","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.23416","created_at":"2026-07-28T01:22:51Z"},{"alias_kind":"arxiv_version","alias_value":"2607.23416v1","created_at":"2026-07-28T01:22:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.23416","created_at":"2026-07-28T01:22:51Z"},{"alias_kind":"pith_short_12","alias_value":"VB33ISRHAA4R","created_at":"2026-07-28T01:22:51Z"},{"alias_kind":"pith_short_16","alias_value":"VB33ISRHAA4RTGRH","created_at":"2026-07-28T01:22:51Z"},{"alias_kind":"pith_short_8","alias_value":"VB33ISRH","created_at":"2026-07-28T01:22:51Z"}],"graph_snapshots":[{"event_id":"sha256:d7917a0f1a7c2a4250c2f13a99e4cde637d3a78d0bafe0c1db5aceb39407bc73","target":"graph","created_at":"2026-07-28T01:22:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.23416/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Motivated by the equivalent partial-trace formulations of Werner-state distillability [P. Costa Rico, Lett. Math. Phys. 115, 47 (2025); S.-Y. Qi et al., Phys. Rev. A 110, 012406 (2024)], we prove a bipartite partial-trace inequality for every matrix of rank at most two. As applications, we prove the two-copy undistillability of NPT Werner states in arbitrary local dimension, thereby resolving this open problem highlighted in [P. Horodecki et al., PRX Quantum 3, 010101 (2022)]. We further prove a two-parameter extension of the matrix inequality and show that two individually one-copy-undistilla","authors_text":"Lin Chen, Zhiwei Song","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-26T02:22:05Z","title":"A partial-trace matrix inequality and Werner-state distillability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.23416","kind":"arxiv","version":1},"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":"sha256:0a420d49dd51604d2a336b0527c2cee3d32440548f89ddb8831fd643e567777a","target":"record","created_at":"2026-07-28T01:22:51Z","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":"793a2466615ce369bd259831d1094fe74e0f979e78129f09f7c535df6ec1bd47","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-26T02:22:05Z","title_canon_sha256":"1adaacc650cfbeca5466b7599d6ec64da0a87a3ab215c822cc0e26270508a863"},"schema_version":"1.0","source":{"id":"2607.23416","kind":"arxiv","version":1}},"canonical_sha256":"a877b44a270039199a27849e93288b5ef7a4c5ef074ff3d47e79ab37c9e18963","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a877b44a270039199a27849e93288b5ef7a4c5ef074ff3d47e79ab37c9e18963","first_computed_at":"2026-07-28T01:22:51.943756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T01:22:51.943756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kwQJQUivREwLjWsA7I3w8pHfauCrhj0qwK6Emw4fA/Kh83VWaqzUerTc+DyKroaO3ysHuGLm9x1heA60Tf0OCg==","signature_status":"signed_v1","signed_at":"2026-07-28T01:22:51.944568Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.23416","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a420d49dd51604d2a336b0527c2cee3d32440548f89ddb8831fd643e567777a","sha256:d7917a0f1a7c2a4250c2f13a99e4cde637d3a78d0bafe0c1db5aceb39407bc73"],"state_sha256":"94ac67f3552a7b8a6bf247d4bef2e93e81c7d01bfd1d54fa367a5462efc40f0b"}