{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:SDMPVSZQVHP35E3UJRQ6ZDGV76","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":"02db1c5b4e80c8d4856ac108b77b8453ab15fd2ca483bf6cf8fa76fcc1424c65","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-01-26T20:52:37Z","title_canon_sha256":"d3d1e8b7ae4e8b5ef3108048377a61929d80519058a92c81e06ffc1df1d7e3b1"},"schema_version":"1.0","source":{"id":"2001.09515","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.09515","created_at":"2026-07-05T01:08:26Z"},{"alias_kind":"arxiv_version","alias_value":"2001.09515v1","created_at":"2026-07-05T01:08:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.09515","created_at":"2026-07-05T01:08:26Z"},{"alias_kind":"pith_short_12","alias_value":"SDMPVSZQVHP3","created_at":"2026-07-05T01:08:26Z"},{"alias_kind":"pith_short_16","alias_value":"SDMPVSZQVHP35E3U","created_at":"2026-07-05T01:08:26Z"},{"alias_kind":"pith_short_8","alias_value":"SDMPVSZQ","created_at":"2026-07-05T01:08:26Z"}],"graph_snapshots":[{"event_id":"sha256:5570a88885f04acc8c743f853dbdddbef6f2eccdc25fcd29bbe20859a663559f","target":"graph","created_at":"2026-07-05T01:08:26Z","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/2001.09515/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study mutually unbiased bases (MUBs) in which all the bases are unextendible maximally entangled ones. We first present a necessary and sufficient condition of constructing a pair of MUBs in $C^2 \\otimes C^4$. Based on this condition, an analytical and necessary condition for constructing MUBs is given. Moreover we illustrate our approach by some detailed examples in $C^2 \\otimes C^4$. The results are generalized to $C^2 \\otimes C^d$ $(d\\geq 3)$ and a concrete example in $C^2 \\otimes C^8$ is given.","authors_text":"Hui Zhao, Lin Zhang, Naihuan Jing, Shao-Ming Fei","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-01-26T20:52:37Z","title":"Constructing mutually unbiased bases from unextendible maximally entangled bases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.09515","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":"sha256:25bcd03e790edf2755c3d269be884247502a4f03e39bf42f073cc31976683297","target":"record","created_at":"2026-07-05T01:08:26Z","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":"02db1c5b4e80c8d4856ac108b77b8453ab15fd2ca483bf6cf8fa76fcc1424c65","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-01-26T20:52:37Z","title_canon_sha256":"d3d1e8b7ae4e8b5ef3108048377a61929d80519058a92c81e06ffc1df1d7e3b1"},"schema_version":"1.0","source":{"id":"2001.09515","kind":"arxiv","version":1}},"canonical_sha256":"90d8facb30a9dfbe93744c61ec8cd5ff913797ba35ef471ac0874820626e598c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90d8facb30a9dfbe93744c61ec8cd5ff913797ba35ef471ac0874820626e598c","first_computed_at":"2026-07-05T01:08:26.715883Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:08:26.715883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PHWroYV3/0d9iKKeZTaNPD5RKAn8ApctC+o82Ow0xC647eUHhqYDWCnioGipTdQoNC0e7k3UuJAGSgKJ8hs1Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:08:26.716377Z","signed_message":"canonical_sha256_bytes"},"source_id":"2001.09515","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25bcd03e790edf2755c3d269be884247502a4f03e39bf42f073cc31976683297","sha256:5570a88885f04acc8c743f853dbdddbef6f2eccdc25fcd29bbe20859a663559f"],"state_sha256":"7afb6936c218e0021fb0e2b9d7b7c4a8924d8bbd3837267c457c2fae17bf750a"}