{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UZDAYFSCKYFVEKJPBYP4VYBRLE","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":"02d36112754981f979c53ed16c6e9f5d02b375c47b61e27d8dc247963abb3a06","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-14T00:57:01Z","title_canon_sha256":"5462c30f2624f7c3aec923ba614b7489675b3dd7b3ee111a5da1539ecce3e6e8"},"schema_version":"1.0","source":{"id":"1205.2921","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.2921","created_at":"2026-05-18T01:57:32Z"},{"alias_kind":"arxiv_version","alias_value":"1205.2921v1","created_at":"2026-05-18T01:57:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.2921","created_at":"2026-05-18T01:57:32Z"},{"alias_kind":"pith_short_12","alias_value":"UZDAYFSCKYFV","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"UZDAYFSCKYFVEKJP","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"UZDAYFSC","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:65ea79653ed2979efb71edb769da784914746ab0006b0cbe3801cdb876cb0ec5","target":"graph","created_at":"2026-05-18T01:57:32Z","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 construct optimal PPTES witnesses to detect $3\\otimes 3$ PPT entangled edge states of type $(6,8)$ constructed recently \\cite{kye_osaka}. To do this, we consider positive linear maps which are variants of the Choi type map involving complex numbers, and examine several notions related to optimality for those entanglement witnesses. Through the discussion, we suggest a method to check the optimality of entanglement witnesses without the spanning property.","authors_text":"Kil-Chan Ha, Seung-Hyeok Kye","cross_cats":["math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-14T00:57:01Z","title":"Entanglement witnesses arising from Choi type positive linear maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.2921","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":"sha256:189e1cc2cd3bc4e2453ca9d7bd47ec838b1e39d31d6573146620df6b541f5366","target":"record","created_at":"2026-05-18T01:57:32Z","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":"02d36112754981f979c53ed16c6e9f5d02b375c47b61e27d8dc247963abb3a06","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-14T00:57:01Z","title_canon_sha256":"5462c30f2624f7c3aec923ba614b7489675b3dd7b3ee111a5da1539ecce3e6e8"},"schema_version":"1.0","source":{"id":"1205.2921","kind":"arxiv","version":1}},"canonical_sha256":"a6460c1642560b52292f0e1fcae031592ae13d496d980ba0ecaedfae6a501061","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6460c1642560b52292f0e1fcae031592ae13d496d980ba0ecaedfae6a501061","first_computed_at":"2026-05-18T01:57:32.737225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:32.737225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uv+cBvHkDqHVjaOwYA75tQv3squ40tvGDWKRqvjCnbdczn75cmYW6ratmgOk3ssThxp/+83phlrTjOTIe+ENBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:32.737933Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.2921","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:189e1cc2cd3bc4e2453ca9d7bd47ec838b1e39d31d6573146620df6b541f5366","sha256:65ea79653ed2979efb71edb769da784914746ab0006b0cbe3801cdb876cb0ec5"],"state_sha256":"6775878c038cab4fe184a5597109c676e209dabd443c497a702133172755b2b8"}