{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VUM52FUCTMERVBTKTCPGXR6NT2","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":"0105ee065e39d0be573a445c5434f9ae15247c2bca05d13cfef0120c3860bf10","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-01-15T18:23:20Z","title_canon_sha256":"378bf67fc32efacaf807f0fa74f1f1eca948f97db84705bdd6056d9bdb241777"},"schema_version":"1.0","source":{"id":"1301.3442","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.3442","created_at":"2026-05-18T03:36:25Z"},{"alias_kind":"arxiv_version","alias_value":"1301.3442v1","created_at":"2026-05-18T03:36:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3442","created_at":"2026-05-18T03:36:25Z"},{"alias_kind":"pith_short_12","alias_value":"VUM52FUCTMER","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VUM52FUCTMERVBTK","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VUM52FUC","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:f3051d50aed5b1b157bb8f80b42c4984f70d14325ffe55e24d4a48c4e2e9659f","target":"graph","created_at":"2026-05-18T03:36:25Z","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 characterize the positive maps detecting the entangled bipartite states of n x n qubits that are diagonal with respect to the orthonormal basis constructed by tensor products of Pauli matrices acting on the totally symmetric state. We then discuss the case n=2 for a class of states completely determined by the geometric patterns of subsets of a 16 point lattice.","authors_text":"Fabio Benatti, Mahya Karbalaii","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-01-15T18:23:20Z","title":"Entanglement witnesses for a class of bipartite states of n x n qubits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3442","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":"sha256:4489350323f3ffcd10c26a354cf3dfd87f5a0b624aa1fc90d83087f127e8c66b","target":"record","created_at":"2026-05-18T03:36:25Z","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":"0105ee065e39d0be573a445c5434f9ae15247c2bca05d13cfef0120c3860bf10","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-01-15T18:23:20Z","title_canon_sha256":"378bf67fc32efacaf807f0fa74f1f1eca948f97db84705bdd6056d9bdb241777"},"schema_version":"1.0","source":{"id":"1301.3442","kind":"arxiv","version":1}},"canonical_sha256":"ad19dd16829b091a866a989e6bc7cd9e8d12a542be859470e5cf946264c5a9ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad19dd16829b091a866a989e6bc7cd9e8d12a542be859470e5cf946264c5a9ad","first_computed_at":"2026-05-18T03:36:25.599995Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:25.599995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5FdGY293URMvcKAUzmPcXUc6u16VArTUq5ogUaJaAD8Vdu+9umrEkw7BdUUF9mzxU8dwoqOBqUMp0F8kWMInDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:25.600417Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.3442","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4489350323f3ffcd10c26a354cf3dfd87f5a0b624aa1fc90d83087f127e8c66b","sha256:f3051d50aed5b1b157bb8f80b42c4984f70d14325ffe55e24d4a48c4e2e9659f"],"state_sha256":"985597a58d80da81788654ab76d7977401c1685259060734ac75450b81330ca7"}