{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XZXY6NSYV6KEJSLQWBTO3APIHY","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":"1cd3e37bc157cb951ceabef54b65ecfe03ba8538199fa3c882d0b0ce37778142","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-04-14T14:04:46Z","title_canon_sha256":"f0c6b54f8fc860367dd58a6695fb9d649831a5498d921f4669a8876fe0776984"},"schema_version":"1.0","source":{"id":"1404.3586","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.3586","created_at":"2026-05-18T01:39:55Z"},{"alias_kind":"arxiv_version","alias_value":"1404.3586v2","created_at":"2026-05-18T01:39:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.3586","created_at":"2026-05-18T01:39:55Z"},{"alias_kind":"pith_short_12","alias_value":"XZXY6NSYV6KE","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XZXY6NSYV6KEJSLQ","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XZXY6NSY","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:0b007d4da3eb5d852b4d15238eaed186ab42dec84ac29d5127db81a20c950b89","target":"graph","created_at":"2026-05-18T01:39:55Z","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":"A pure quantum state of N subsystems with d levels each is called k-multipartite maximally entangled state, written k-uniform, if all its reductions to k qudits are maximally mixed. These states form a natural generalization of N-qudits GHZ states which belong to the class 1-uniform states. We establish a link between the combinatorial notion of orthogonal arrays and k-uniform states and prove the existence of several new classes of such states for N-qudit systems. In particular, known Hadamard matrices allow us to explicitly construct 2-uniform states for an arbitrary number of N>5 qubits. We","authors_text":"Dardo Goyeneche, Karol Zyczkowski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-04-14T14:04:46Z","title":"Genuinely multipartite entangled states and orthogonal arrays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3586","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:b1d671b77f99b574daa5900129a02694b775d2c0534484a1af565586e95cb613","target":"record","created_at":"2026-05-18T01:39:55Z","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":"1cd3e37bc157cb951ceabef54b65ecfe03ba8538199fa3c882d0b0ce37778142","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-04-14T14:04:46Z","title_canon_sha256":"f0c6b54f8fc860367dd58a6695fb9d649831a5498d921f4669a8876fe0776984"},"schema_version":"1.0","source":{"id":"1404.3586","kind":"arxiv","version":2}},"canonical_sha256":"be6f8f3658af9444c970b066ed81e83e363726c4ffca71af8d5a39714006f2ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be6f8f3658af9444c970b066ed81e83e363726c4ffca71af8d5a39714006f2ab","first_computed_at":"2026-05-18T01:39:55.317602Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:55.317602Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YM0cxwYE3ZgFGo4wEUrIOG55uV+PupzjkMp84ZLcgpumtQFcK2tvwQGvinkWr6Inb68LFrOtWhIltNClTzt8Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:55.318071Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.3586","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1d671b77f99b574daa5900129a02694b775d2c0534484a1af565586e95cb613","sha256:0b007d4da3eb5d852b4d15238eaed186ab42dec84ac29d5127db81a20c950b89"],"state_sha256":"170c84b72aa4082b20bc994a981e0dc21a8473076323a1fe7d80b8bdbb7e8155"}