{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XSMIUBTRRBJWLBUETFFBNH5OUX","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":"b33dfde7f0f3da0638c8a79808c0dfa6d6e5e19fa9ab46410cf93c42980c24ae","cross_cats_sorted":["math.OA"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2011-09-11T09:37:52Z","title_canon_sha256":"2f5433cba674e87bc785cd85d03acab90c0d4ca82f8b577c4443da62334eb0b5"},"schema_version":"1.0","source":{"id":"1109.2300","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.2300","created_at":"2026-05-18T02:00:34Z"},{"alias_kind":"arxiv_version","alias_value":"1109.2300v1","created_at":"2026-05-18T02:00:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.2300","created_at":"2026-05-18T02:00:34Z"},{"alias_kind":"pith_short_12","alias_value":"XSMIUBTRRBJW","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XSMIUBTRRBJWLBUE","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XSMIUBTR","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:4f35f0715bfeaa98c06fdcfed4beb8ce265361f421067061ee818e5f8b9fd854","target":"graph","created_at":"2026-05-18T02:00:34Z","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":"In this paper, we present a characterization of optimal entanglement witnesses in terms of positive maps and then provide a general method of checking optimality of entanglement witnesses. Applying it, we obtain new indecomposable optimal witnesses which have no spanning property. These also provide new examples which support a recent conjecture saying that the so-called structural physical approximations to optimal positive maps (optimal entanglement witnesses) give entanglement breaking maps (separable states).","authors_text":"Jinchuan Hou, Xiaofei Qi","cross_cats":["math.OA"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2011-09-11T09:37:52Z","title":"A characterization of optimal entanglement witnesses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.2300","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":"sha256:6427fe39ede448f1a65d00519ee0616498f9c27db727fd14ad2b3402aab631fa","target":"record","created_at":"2026-05-18T02:00:34Z","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":"b33dfde7f0f3da0638c8a79808c0dfa6d6e5e19fa9ab46410cf93c42980c24ae","cross_cats_sorted":["math.OA"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2011-09-11T09:37:52Z","title_canon_sha256":"2f5433cba674e87bc785cd85d03acab90c0d4ca82f8b577c4443da62334eb0b5"},"schema_version":"1.0","source":{"id":"1109.2300","kind":"arxiv","version":1}},"canonical_sha256":"bc988a06718853658684994a169faea5c9c67aea20b102e00777e24bd510309f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc988a06718853658684994a169faea5c9c67aea20b102e00777e24bd510309f","first_computed_at":"2026-05-18T02:00:34.771571Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:34.771571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"069+d2U6rb6S3TZV4b/dz0O+Ib/llOTTYEzPXaf2in6e1w/yyl6JO3SN9JLjMe7k71nusEsiHbdV6m3oy+nWAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:34.772236Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.2300","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6427fe39ede448f1a65d00519ee0616498f9c27db727fd14ad2b3402aab631fa","sha256:4f35f0715bfeaa98c06fdcfed4beb8ce265361f421067061ee818e5f8b9fd854"],"state_sha256":"de2971326c4048f02d3d99f6b81e9688e0ad1e83f5ce64c4161c1cfc13c08898"}