{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:BYTBYTUHZ77RRHYGVLKJIZKYLE","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":"e4ef5e1ff1209716858c683e402ea3a755691e663ee632057838eef3eb98bc7d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-06-07T08:35:22Z","title_canon_sha256":"5420266dacdbf2b973073d624df2e7bc4d41cf081ef04114e9be9927e1128e30"},"schema_version":"1.0","source":{"id":"2006.04086","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.04086","created_at":"2026-07-05T01:08:35Z"},{"alias_kind":"arxiv_version","alias_value":"2006.04086v1","created_at":"2026-07-05T01:08:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.04086","created_at":"2026-07-05T01:08:35Z"},{"alias_kind":"pith_short_12","alias_value":"BYTBYTUHZ77R","created_at":"2026-07-05T01:08:35Z"},{"alias_kind":"pith_short_16","alias_value":"BYTBYTUHZ77RRHYG","created_at":"2026-07-05T01:08:35Z"},{"alias_kind":"pith_short_8","alias_value":"BYTBYTUH","created_at":"2026-07-05T01:08:35Z"}],"graph_snapshots":[{"event_id":"sha256:691b5aec305774e8f24c6c9217de8c2f15c6fe149fc775d3453d738ecdc219bc","target":"graph","created_at":"2026-07-05T01:08:35Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2006.04086/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study $k$-uniform states in heterogeneous systems whose local dimensions are mixed. Based on the connections between mixed orthogonal arrays with certain minimum Hamming distance, irredundant mixed orthogonal arrays and $k$-uniform states, we present two constructions of $2$-uniform states in heterogeneous systems. We also construct a family of $3$-uniform states in heterogeneous systems, which solves a question posed in [D. Goyeneche et al., Phys. Rev. A 94, 012346 (2016)]. We also show two methods of generating $(k-1)$-uniform states from $k$-uniform states. Some new results on the existe","authors_text":"Fei Shi, Lin Chen, Xiande Zhang, Yi Shen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-06-07T08:35:22Z","title":"Constructions of $k$-uniform states from mixed orthogonal arrays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.04086","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:df44b9cb293bc55095b68662e6fc61227b2dbe9b927abec8deb19185ffbcd884","target":"record","created_at":"2026-07-05T01:08:35Z","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":"e4ef5e1ff1209716858c683e402ea3a755691e663ee632057838eef3eb98bc7d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-06-07T08:35:22Z","title_canon_sha256":"5420266dacdbf2b973073d624df2e7bc4d41cf081ef04114e9be9927e1128e30"},"schema_version":"1.0","source":{"id":"2006.04086","kind":"arxiv","version":1}},"canonical_sha256":"0e261c4e87cfff189f06aad4946558590f37e7941533e74a68713c229c352bb7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e261c4e87cfff189f06aad4946558590f37e7941533e74a68713c229c352bb7","first_computed_at":"2026-07-05T01:08:35.894978Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:08:35.894978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RsabFmHmm/6TwY6n1Y8h+N21QVowwuyWeVVDbRSYjEuGJ68ksVIApUMwY5Ol2eSYiQx8FB/wwOxpS2Csp9C1Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:08:35.895409Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.04086","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df44b9cb293bc55095b68662e6fc61227b2dbe9b927abec8deb19185ffbcd884","sha256:691b5aec305774e8f24c6c9217de8c2f15c6fe149fc775d3453d738ecdc219bc"],"state_sha256":"549c840e5d5799c60f8665d738554f20c177a171652bdeb25b10c6e328501465"}