{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:RDP2KG5J7SHZE7JIZ3EGDYNTYM","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":"a569d847831f9565963d951d2eb6b6ce6313bbc5eee75541d1f39a9afb5b7e99","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-05-30T13:46:32Z","title_canon_sha256":"aa5dd33b08831c8d8219b856aaf3d2da9709758d50620c0738914da0f610ce37"},"schema_version":"1.0","source":{"id":"1005.5530","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.5530","created_at":"2026-05-18T04:41:55Z"},{"alias_kind":"arxiv_version","alias_value":"1005.5530v2","created_at":"2026-05-18T04:41:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.5530","created_at":"2026-05-18T04:41:55Z"},{"alias_kind":"pith_short_12","alias_value":"RDP2KG5J7SHZ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"RDP2KG5J7SHZE7JI","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"RDP2KG5J","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:79a35a4b33dc13528f39c2ac6cbf4ef2047915eaeae4256889886f3af93c11d3","target":"graph","created_at":"2026-05-18T04:41:55Z","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":"It is shown that, every entangled state in an infinite-dimensional composite system has a simple entanglement witness of the form $\\alpha I+T$ with $\\alpha$ a nonnegative number and $T$ a finite rank self-adjoint operator. We also provide two methods of constructing entanglement witness and apply them to obtain some entangled states that cannot be detected by the PPT criterion and the realignment criterion.","authors_text":"Jinchuan Hou, Xiaofei Qi","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-05-30T13:46:32Z","title":"Constructing entanglement witnesses for infinite-dimensional systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.5530","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:f10c43b4bea0e05316ec476a3ed83720f45877e25e4a78741d0529ae1c2b5d96","target":"record","created_at":"2026-05-18T04:41:55Z","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":"a569d847831f9565963d951d2eb6b6ce6313bbc5eee75541d1f39a9afb5b7e99","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-05-30T13:46:32Z","title_canon_sha256":"aa5dd33b08831c8d8219b856aaf3d2da9709758d50620c0738914da0f610ce37"},"schema_version":"1.0","source":{"id":"1005.5530","kind":"arxiv","version":2}},"canonical_sha256":"88dfa51ba9fc8f927d28cec861e1b3c305cfc9cba86ba6577718f1ff746e6bf3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88dfa51ba9fc8f927d28cec861e1b3c305cfc9cba86ba6577718f1ff746e6bf3","first_computed_at":"2026-05-18T04:41:55.762203Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:55.762203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VuuvRE5qLqGlUNX3qJ+zjAlo+cWdMp7YIrFoUbu6E2vk+HVPmxbH0XjY0nBzV7E/gOoXWwcehRbvAv6MKCu+Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:55.762631Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.5530","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f10c43b4bea0e05316ec476a3ed83720f45877e25e4a78741d0529ae1c2b5d96","sha256:79a35a4b33dc13528f39c2ac6cbf4ef2047915eaeae4256889886f3af93c11d3"],"state_sha256":"8cc2b822ab93602fbb390ba55306d589185475934c5e71f3a32376d178b450ab"}