{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:4ASKFXC7DWHW644EAWAKWFEXPH","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":"da91f18b139aec818a9caa944359da1255613b4818e8fc8d2af1391971fb7390","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-07-05T18:00:15Z","title_canon_sha256":"756b62d0dc0271c1f1e6062b8f0c7a1bdb0689dd607170f89651a8f60701875d"},"schema_version":"1.0","source":{"id":"2107.02194","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.02194","created_at":"2026-07-05T03:23:43Z"},{"alias_kind":"arxiv_version","alias_value":"2107.02194v2","created_at":"2026-07-05T03:23:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.02194","created_at":"2026-07-05T03:23:43Z"},{"alias_kind":"pith_short_12","alias_value":"4ASKFXC7DWHW","created_at":"2026-07-05T03:23:43Z"},{"alias_kind":"pith_short_16","alias_value":"4ASKFXC7DWHW644E","created_at":"2026-07-05T03:23:43Z"},{"alias_kind":"pith_short_8","alias_value":"4ASKFXC7","created_at":"2026-07-05T03:23:43Z"}],"graph_snapshots":[{"event_id":"sha256:7e0584db729f53007cf58fc003a5c02a5832494ddfb9d1792e32221bf5a52fc3","target":"graph","created_at":"2026-07-05T03:23:43Z","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/2107.02194/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a quantum error correcting code with dynamically generated logical qubits. When viewed as a subsystem code, the code has no logical qubits. Nevertheless, our measurement patterns generate logical qubits, allowing the code to act as a fault-tolerant quantum memory. Our particular code gives a model very similar to the two-dimensional toric code, but each measurement is a two-qubit Pauli measurement.","authors_text":"Jeongwan Haah, Matthew B. Hastings","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-07-05T18:00:15Z","title":"Dynamically Generated Logical Qubits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.02194","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:c9b941da158bb4d975cca94a4a34a5048cff250dbe89ef03eb8f26a3b6eb1ff3","target":"record","created_at":"2026-07-05T03:23:43Z","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":"da91f18b139aec818a9caa944359da1255613b4818e8fc8d2af1391971fb7390","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-07-05T18:00:15Z","title_canon_sha256":"756b62d0dc0271c1f1e6062b8f0c7a1bdb0689dd607170f89651a8f60701875d"},"schema_version":"1.0","source":{"id":"2107.02194","kind":"arxiv","version":2}},"canonical_sha256":"e024a2dc5f1d8f6f73840580ab149779e959c641e47768b4267d29d026831389","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e024a2dc5f1d8f6f73840580ab149779e959c641e47768b4267d29d026831389","first_computed_at":"2026-07-05T03:23:43.745043Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:23:43.745043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CCJKobE1Z1GW5YROdUU6Ry0475xYTXwywcU7JsMfIniG+HwGhzHT/pT0bXQyD07WcqigXJ0WJlCd4F4hFyvBDA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:23:43.745468Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.02194","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9b941da158bb4d975cca94a4a34a5048cff250dbe89ef03eb8f26a3b6eb1ff3","sha256:7e0584db729f53007cf58fc003a5c02a5832494ddfb9d1792e32221bf5a52fc3"],"state_sha256":"2b68ada7dfb0ac5c7742b6b27fc91fbcfcd1b797b71b6b594d077610c837276a"}