{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ATN4VRGXY5XSK4MPE4DE2ZPCVG","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":"b40c5f1e2304bd6609c46ce99425c99acb437ad8a53c1514b610310139e68171","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-06-04T17:35:00Z","title_canon_sha256":"03aa884499fcecd4cd0f850336c463892e1b3b8e13062d48a4dd0fee5118cb18"},"schema_version":"1.0","source":{"id":"2106.02621","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.02621","created_at":"2026-07-05T05:09:03Z"},{"alias_kind":"arxiv_version","alias_value":"2106.02621v1","created_at":"2026-07-05T05:09:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.02621","created_at":"2026-07-05T05:09:03Z"},{"alias_kind":"pith_short_12","alias_value":"ATN4VRGXY5XS","created_at":"2026-07-05T05:09:03Z"},{"alias_kind":"pith_short_16","alias_value":"ATN4VRGXY5XSK4MP","created_at":"2026-07-05T05:09:03Z"},{"alias_kind":"pith_short_8","alias_value":"ATN4VRGX","created_at":"2026-07-05T05:09:03Z"}],"graph_snapshots":[{"event_id":"sha256:b62752957912da6d31a1cc30334aaeb48d02dc556927e07cafeb104705675fb4","target":"graph","created_at":"2026-07-05T05:09:03Z","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/2106.02621/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a new topological quantum code, the three-dimensional subsystem toric code (3D STC), which is a generalization of the stabilizer toric code. The 3D STC can be realized by measuring geometrically-local parity checks of weight at most three on the cubic lattice with open boundary conditions. We prove that single-shot quantum error correction (QEC) is possible with the 3D STC, i.e., one round of local parity-check measurements suffices to perform reliable QEC even in the presence of measurement errors. We also propose an efficient single-shot QEC strategy for the 3D STC and investiga","authors_text":"Aleksander Kubica, Michael Vasmer","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-06-04T17:35:00Z","title":"Single-shot quantum error correction with the three-dimensional subsystem toric code"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.02621","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":"sha256:03d2b492353b8e607827239d13d566dbc09a1b9d7ac0a53b06be9b22fa895c97","target":"record","created_at":"2026-07-05T05:09:03Z","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":"b40c5f1e2304bd6609c46ce99425c99acb437ad8a53c1514b610310139e68171","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-06-04T17:35:00Z","title_canon_sha256":"03aa884499fcecd4cd0f850336c463892e1b3b8e13062d48a4dd0fee5118cb18"},"schema_version":"1.0","source":{"id":"2106.02621","kind":"arxiv","version":1}},"canonical_sha256":"04dbcac4d7c76f25718f27064d65e2a99825d06e75de7e6292e163400270750c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04dbcac4d7c76f25718f27064d65e2a99825d06e75de7e6292e163400270750c","first_computed_at":"2026-07-05T05:09:03.910779Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:09:03.910779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"31ztHF8iUU1ZCdoVlpUXt6qzxRF3lPCz2xVC81ECF4cWUbqMfTMH17uzGjJXb/hOeJzuWhbocTBZ87UR4YlzAA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:09:03.911191Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.02621","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:03d2b492353b8e607827239d13d566dbc09a1b9d7ac0a53b06be9b22fa895c97","sha256:b62752957912da6d31a1cc30334aaeb48d02dc556927e07cafeb104705675fb4"],"state_sha256":"6b82917c8b20c8e1e4fb4a2b416b129075cca4fb9ca8ea926c5d41a1f1f85907"}