{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:PLPPUYBMJC5YM4G3EYJDJ6JM5N","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":"a259c16f85fb07e0d3b0f49014adebfa40f7ca07fb3f809689874ab7ea5fc3b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-13T14:06:50Z","title_canon_sha256":"57320174f332dbee3ba051757e4214f318890cb5a82cfe51b470bbbb44a990bf"},"schema_version":"1.0","source":{"id":"1010.2664","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2664","created_at":"2026-05-18T03:12:46Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2664v1","created_at":"2026-05-18T03:12:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2664","created_at":"2026-05-18T03:12:46Z"},{"alias_kind":"pith_short_12","alias_value":"PLPPUYBMJC5Y","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"PLPPUYBMJC5YM4G3","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"PLPPUYBM","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:fe05402d5d40c54aaca59ce4d74cde800643fc11cc2e3544b21eec382923ce2d","target":"graph","created_at":"2026-05-18T03:12:46Z","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 subspace of a multipartite Hilbert space is called \\textit{locally indistinguishable} if any orthogonal basis of this subspace cannot be perfectly distinguished by local operations and classical communication. Previously it was shown that any $m\\otimes n$ bipartite system such that $m>2$ and $n>2$ has a locally indistinguishable subspace. However, it has been an open problem since 2005 whether there is a locally indistinguishable bipartite subspace with a qubit subsystem. We settle this problem by showing that any $2\\otimes n$ bipartite subspace is locally distinguishable in the sense it con","authors_text":"Mingsheng Ying, Nengkun Yu, Runyao Duan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-13T14:06:50Z","title":"Any $2\\otimes n$ subspace is locally distinguishable"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2664","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:eccb934286c038f15d885914c6ccdfd801666e8395841865bbb45a1b75f4f765","target":"record","created_at":"2026-05-18T03:12:46Z","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":"a259c16f85fb07e0d3b0f49014adebfa40f7ca07fb3f809689874ab7ea5fc3b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-13T14:06:50Z","title_canon_sha256":"57320174f332dbee3ba051757e4214f318890cb5a82cfe51b470bbbb44a990bf"},"schema_version":"1.0","source":{"id":"1010.2664","kind":"arxiv","version":1}},"canonical_sha256":"7adefa602c48bb8670db261234f92ceb42d01704f51594d466909348189645d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7adefa602c48bb8670db261234f92ceb42d01704f51594d466909348189645d5","first_computed_at":"2026-05-18T03:12:46.775294Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:12:46.775294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P6UsO4m8CzDhy9ggFEY2XzxXbYXK6bv4p92McSG/9jOC4YP1O/R4TZiiSiIt8KQH9zTuOLCDWkrfv/HhVW0PBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:12:46.776162Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.2664","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eccb934286c038f15d885914c6ccdfd801666e8395841865bbb45a1b75f4f765","sha256:fe05402d5d40c54aaca59ce4d74cde800643fc11cc2e3544b21eec382923ce2d"],"state_sha256":"6b4ccf7ef02091c60dff2fa8469367ea877b1b8b1f8401fcea8b3f3900d3e4b3"}