{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QSVLHPCH3SMUKY3DS5KCWQ5GO2","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":"660cd6efc4488f037afca0423659845a2d1cb46bf9736963f0efe639c07dff4f","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-03-28T13:34:56Z","title_canon_sha256":"0a115e07d4940bb76ad4d41d0bc20073f8c2ef52b435c9efe43f0bfe20692cf2"},"schema_version":"1.0","source":{"id":"1203.6262","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6262","created_at":"2026-05-18T03:54:25Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6262v1","created_at":"2026-05-18T03:54:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6262","created_at":"2026-05-18T03:54:25Z"},{"alias_kind":"pith_short_12","alias_value":"QSVLHPCH3SMU","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QSVLHPCH3SMUKY3D","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QSVLHPCH","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:995cf61204c14b126f11fcff7a7a58bf21b2610eb6bcf7e757d4af6a439ada2a","target":"graph","created_at":"2026-05-18T03:54:25Z","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 exhibit examples of separable states which are on the boundary of the convex cone generated by all separable states but in the interior of the convex cone generated by all PPT states. We also analyze the geometric structures of the smallest face generated by those examples. As a byproduct, we obtain a large class of entangled states with positive partial transposes.","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":"2012-03-28T13:34:56Z","title":"Geometry of the faces for separable states arising from generalized Choi maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6262","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":"sha256:842475055ba4cfbee0264916eab2bdd0e09440e4de7431cd314e32b1d480e649","target":"record","created_at":"2026-05-18T03:54:25Z","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":"660cd6efc4488f037afca0423659845a2d1cb46bf9736963f0efe639c07dff4f","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-03-28T13:34:56Z","title_canon_sha256":"0a115e07d4940bb76ad4d41d0bc20073f8c2ef52b435c9efe43f0bfe20692cf2"},"schema_version":"1.0","source":{"id":"1203.6262","kind":"arxiv","version":1}},"canonical_sha256":"84aab3bc47dc9945636397542b43a676b853d19572a035c7e7e23af4372e47fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84aab3bc47dc9945636397542b43a676b853d19572a035c7e7e23af4372e47fe","first_computed_at":"2026-05-18T03:54:25.585081Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:25.585081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NGvuQB7Lq8e5MGacnGHm67KVNvfRD8pcn4wwAEdFieyyoI3U90nm7W7hoiJO9RMBi46n+aKfRwjINTZfxXgFAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:25.585842Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.6262","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:842475055ba4cfbee0264916eab2bdd0e09440e4de7431cd314e32b1d480e649","sha256:995cf61204c14b126f11fcff7a7a58bf21b2610eb6bcf7e757d4af6a439ada2a"],"state_sha256":"dc98301bd8369f07389ca01e99419c0fee9e5f451f3bd1bf4a260ea345f9fd96"}