{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:VTZ6JQ26G53A7ALHUIVMNG23PA","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":"f44b6590add29d9956c46abd7fb5a8ae95ddfccdd8c7bc82188fc683d4500f54","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"quant-ph","submitted_at":"2005-08-04T17:25:30Z","title_canon_sha256":"2da7bd5153b1d4031e900063285eab557c165a15157338404d3f248f43621b7a"},"schema_version":"1.0","source":{"id":"quant-ph/0508043","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0508043","created_at":"2026-05-18T01:05:02Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0508043v2","created_at":"2026-05-18T01:05:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0508043","created_at":"2026-05-18T01:05:02Z"},{"alias_kind":"pith_short_12","alias_value":"VTZ6JQ26G53A","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"VTZ6JQ26G53A7ALH","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"VTZ6JQ26","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:de9630db135580f40a3ff796b059805e6db5bc7e907303e1c9d83fc1fb2862c4","target":"graph","created_at":"2026-05-18T01:05:02Z","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 study the connection between the Hilbert-Schmidt measure of entanglement (that is the minimal distance of an entangled state to the set of separable states) and entanglement witness in terms of a generalized Bell inequality which distinguishes between entangled and separable states. A method for checking the nearest separable state to a given entangled one is presented. We illustrate the general results by considering isotropic states, in particular 2-qubit and 2-qutrit states -- and their generalizations to arbitrary dimensions -- where we calculate the optimal entanglement witnesses expli","authors_text":"Beatrix C. Hiesmayr, Katharina Durstberger, Philipp Krammer, Reinhold A. Bertlmann","cross_cats":["math-ph","math.MP"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2005-08-04T17:25:30Z","title":"Optimal Entanglement Witnesses for Qubits and Qutrits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0508043","kind":"arxiv","version":2},"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":"sha256:3648f4b0bb6533e32a1cb8bee44e22073894a03b2436829f66c658df499f9fad","target":"record","created_at":"2026-05-18T01:05:02Z","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":"f44b6590add29d9956c46abd7fb5a8ae95ddfccdd8c7bc82188fc683d4500f54","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"quant-ph","submitted_at":"2005-08-04T17:25:30Z","title_canon_sha256":"2da7bd5153b1d4031e900063285eab557c165a15157338404d3f248f43621b7a"},"schema_version":"1.0","source":{"id":"quant-ph/0508043","kind":"arxiv","version":2}},"canonical_sha256":"acf3e4c35e37760f8167a22ac69b5b7820ab96d46fb016c97a037c8453e69deb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"acf3e4c35e37760f8167a22ac69b5b7820ab96d46fb016c97a037c8453e69deb","first_computed_at":"2026-05-18T01:05:02.821574Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:02.821574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vmS7nPFgYL3iteQM0mW2Q4PVwF72LK1cb7JrER/8tT1aSdr6tGrD7Fdznv8EQy9lCVgbLfe7ycj79PzwBHtcAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:02.822204Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0508043","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3648f4b0bb6533e32a1cb8bee44e22073894a03b2436829f66c658df499f9fad","sha256:de9630db135580f40a3ff796b059805e6db5bc7e907303e1c9d83fc1fb2862c4"],"state_sha256":"2189f279a236389dc8146704e8ebd6b4b955920b2e8142b2d40449c73d17b49a"}