{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PPOGXUY5XN4XDW2FGD5H4EKCSC","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":"4d715acb7f35f043c3d17955987f0e2dcba0466bf15fcdb4df4dc966adc6cff8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2016-09-13T20:57:47Z","title_canon_sha256":"44da0f43224be1fecdd8fc054721ad6951fab583fbe0f59c5d44ef0e0d4ef4c4"},"schema_version":"1.0","source":{"id":"1609.04049","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.04049","created_at":"2026-05-18T01:00:12Z"},{"alias_kind":"arxiv_version","alias_value":"1609.04049v2","created_at":"2026-05-18T01:00:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.04049","created_at":"2026-05-18T01:00:12Z"},{"alias_kind":"pith_short_12","alias_value":"PPOGXUY5XN4X","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PPOGXUY5XN4XDW2F","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PPOGXUY5","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:83d128f37dabde7c38b60610122a31dea269d0d0f6ecbd9f42dfc1a6db0501b8","target":"graph","created_at":"2026-05-18T01:00:12Z","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 new way of constructing unextendible maximally entangled basis (UMEB) from maximally entangled basis (MEB) is proposed. Consequently, it is shown that if there is an $N$-member UMEB in $\\mathbb{C}^d\\otimes \\mathbb{C}^d$, then there exists a $(qd)^2-q(d^2-N)$-member UMEB in $\\mathbb{C}^{qd}\\otimes \\mathbb{C}^{qd}$ for any $q\\in\\mathbb{N}$. This improves the results in [Phys. Rev. A 90, 034301(2014)], which shows that there exists a $(qd)^2-(d^2-N)$-member UMEB in $\\mathbb{C}^{qd}\\otimes \\mathbb{C}^{qd}$ provided that an $N$-member UMEB exsits in $\\mathbb{C}^d\\otimes \\mathbb{C}^d$. In addition","authors_text":"Yu Guo","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2016-09-13T20:57:47Z","title":"Constructing UMEB from maximally entangled basis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.04049","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":"sha256:0b1f54c70958df051b42ea0758848b244c855d89d9bd878d8e2b8de7169b9f1f","target":"record","created_at":"2026-05-18T01:00:12Z","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":"4d715acb7f35f043c3d17955987f0e2dcba0466bf15fcdb4df4dc966adc6cff8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2016-09-13T20:57:47Z","title_canon_sha256":"44da0f43224be1fecdd8fc054721ad6951fab583fbe0f59c5d44ef0e0d4ef4c4"},"schema_version":"1.0","source":{"id":"1609.04049","kind":"arxiv","version":2}},"canonical_sha256":"7bdc6bd31dbb7971db4530fa7e114290abfcfeddaeb06dae6b2937eadde53a6b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7bdc6bd31dbb7971db4530fa7e114290abfcfeddaeb06dae6b2937eadde53a6b","first_computed_at":"2026-05-18T01:00:12.010491Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:12.010491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W5+jqdersjiX37o9PYoFChXAsmhaoAD5t5DCIFD5vvBrhyqvtF+Xqt/9wQyzWbbYjz6NFrONs+2N9MLYplLUBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:12.011213Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.04049","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b1f54c70958df051b42ea0758848b244c855d89d9bd878d8e2b8de7169b9f1f","sha256:83d128f37dabde7c38b60610122a31dea269d0d0f6ecbd9f42dfc1a6db0501b8"],"state_sha256":"e49898d3567d24fdbc32102d76edf0ef86dcb15299d53ef675735191e339deda"}