{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7VMJNNAT3PFQ2Q5VCMJDFECX4N","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":"e3c8f24221bf4e179c63472f5b8202d51c87479a68ec047835b17aa8fa78c179","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-07T00:43:17Z","title_canon_sha256":"14c107306af5d386c82c8789bb080ac4383d14b8170fce1dec40d1f5af1594cf"},"schema_version":"1.0","source":{"id":"1502.02082","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.02082","created_at":"2026-05-18T02:12:10Z"},{"alias_kind":"arxiv_version","alias_value":"1502.02082v2","created_at":"2026-05-18T02:12:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02082","created_at":"2026-05-18T02:12:10Z"},{"alias_kind":"pith_short_12","alias_value":"7VMJNNAT3PFQ","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7VMJNNAT3PFQ2Q5V","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7VMJNNAT","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:87393681e04fa83f902135c78a4705f27884b4ef0ac54c7c26c9599276d21920","target":"graph","created_at":"2026-05-18T02:12:10Z","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":"For every possible spectrum of $2^N$-dimensional density operators, we construct an $N$-qubit X-state of same spectrum and maximal genuine multipartite (GM-) concurrence, hence characterizing a global unitary transformation that --- constrained to output X-states --- maximizes the GM-concurrence of an arbitrary input mixed state of $N$ qubits. We also apply semidefinite programming methods to obtain $N$-qubit X-states with maximal GM-concurrence for a given purity and to provide an alternative proof of optimality of a recently proposed set of density matrices for the role, the so-called X-MEMS","authors_text":"Di\\'ogenes Galetti, Marcelo A. Marchiolli, Paulo E. M. F. Mendonca, Seyed Mohammad Hashemi Rafsanjani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-07T00:43:17Z","title":"Maximally genuine multipartite entangled mixed X-states of N-qubits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02082","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":"sha256:55159802c7baa4150a2c72c07c82a7e4dc0cb8d8117731cb2cc6953d63ed9de8","target":"record","created_at":"2026-05-18T02:12:10Z","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":"e3c8f24221bf4e179c63472f5b8202d51c87479a68ec047835b17aa8fa78c179","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-02-07T00:43:17Z","title_canon_sha256":"14c107306af5d386c82c8789bb080ac4383d14b8170fce1dec40d1f5af1594cf"},"schema_version":"1.0","source":{"id":"1502.02082","kind":"arxiv","version":2}},"canonical_sha256":"fd5896b413dbcb0d43b51312329057e3544da0375ff0c30a2ba16b87a403f239","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd5896b413dbcb0d43b51312329057e3544da0375ff0c30a2ba16b87a403f239","first_computed_at":"2026-05-18T02:12:10.840203Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:12:10.840203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7cW5hFrAiittO1UQ1Ct7FjmUBFgRQjyg/63GfD1Y40B71qRIf5wo9/N4NOBoY0/Z0INVCGHWOvftwCDr2ASxBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:12:10.841065Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.02082","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55159802c7baa4150a2c72c07c82a7e4dc0cb8d8117731cb2cc6953d63ed9de8","sha256:87393681e04fa83f902135c78a4705f27884b4ef0ac54c7c26c9599276d21920"],"state_sha256":"f94a19ad17b97b2260cc37f0240edbe1c95554ebbf221290d0e3927f08b6ada0"}