{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:UUQBUSE2DWLM7F4EOSRP7NFVUA","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":"96eea4e4ed423029efc72d30220d3279716e76f720a8ff29f7dbefde66ed737f","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math-ph","submitted_at":"2023-10-09T13:55:35Z","title_canon_sha256":"f44b5eac0b14772ab54bbb5978f3e49faf44b9ed92c5e9e75bcd403610dfcfa3"},"schema_version":"1.0","source":{"id":"2310.05726","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.05726","created_at":"2026-07-05T11:40:29Z"},{"alias_kind":"arxiv_version","alias_value":"2310.05726v5","created_at":"2026-07-05T11:40:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.05726","created_at":"2026-07-05T11:40:29Z"},{"alias_kind":"pith_short_12","alias_value":"UUQBUSE2DWLM","created_at":"2026-07-05T11:40:29Z"},{"alias_kind":"pith_short_16","alias_value":"UUQBUSE2DWLM7F4E","created_at":"2026-07-05T11:40:29Z"},{"alias_kind":"pith_short_8","alias_value":"UUQBUSE2","created_at":"2026-07-05T11:40:29Z"}],"graph_snapshots":[{"event_id":"sha256:f89033d7cdb2630a553673ca100b05b265552f6e5376003d2e5bc1d084a41429","target":"graph","created_at":"2026-07-05T11:40:29Z","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/2310.05726/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"One of the oldest problems in quantum information theory is to study if there exists a state with negative partial transpose which is undistillable. This problem has been open for almost 30 years, and still no one has been able to give a complete answer to it. This work presents a new strategy to try to solve this problem by translating the distillability condition on the family of Werner states into a problem of partial trace inequalities, this is the aim of our first main result. As a consequence we obtain a new bound for the $2$-distillability of Werner states, which does not depend on the ","authors_text":"Pablo Costa Rico","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math-ph","submitted_at":"2023-10-09T13:55:35Z","title":"New Partial Trace Inequalities and Distillability of Werner States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.05726","kind":"arxiv","version":5},"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:d1787928d351a764308418cfc47e2cd583e03282f79d3d20811e3d35edc02eee","target":"record","created_at":"2026-07-05T11:40:29Z","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":"96eea4e4ed423029efc72d30220d3279716e76f720a8ff29f7dbefde66ed737f","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math-ph","submitted_at":"2023-10-09T13:55:35Z","title_canon_sha256":"f44b5eac0b14772ab54bbb5978f3e49faf44b9ed92c5e9e75bcd403610dfcfa3"},"schema_version":"1.0","source":{"id":"2310.05726","kind":"arxiv","version":5}},"canonical_sha256":"a5201a489a1d96cf978474a2ffb4b5a017dd4d48fecfac5402b3bcd486f3ed39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5201a489a1d96cf978474a2ffb4b5a017dd4d48fecfac5402b3bcd486f3ed39","first_computed_at":"2026-07-05T11:40:29.496507Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:40:29.496507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i/Isi+RD0xe2qTRx9ZDYpF6syi/l1ZX3wC7cvlJtRAS4lD39GoIpSHyriRF8POi1waNLiDy6UHBujWf/bkNaDA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:40:29.497007Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.05726","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1787928d351a764308418cfc47e2cd583e03282f79d3d20811e3d35edc02eee","sha256:f89033d7cdb2630a553673ca100b05b265552f6e5376003d2e5bc1d084a41429"],"state_sha256":"dafc823f7f8f1a5e59aad069138fb1889fb28daefd3bfcf31678af3dcc7aaf52"}