{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:Z2ZGEVWSIIL3LB6HJYQLEKI6X5","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":"9a6e1efea1c45bb7ce12f3338596acfad9f1fbcba2eff41146ff67525740ce59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-12-19T21:21:10Z","title_canon_sha256":"70ee01a6510731b0ef9fe129cbc3924c7a9b78ba759e8272db567f7b75af17b6"},"schema_version":"1.0","source":{"id":"1912.09549","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.09549","created_at":"2026-07-05T01:32:57Z"},{"alias_kind":"arxiv_version","alias_value":"1912.09549v1","created_at":"2026-07-05T01:32:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.09549","created_at":"2026-07-05T01:32:57Z"},{"alias_kind":"pith_short_12","alias_value":"Z2ZGEVWSIIL3","created_at":"2026-07-05T01:32:57Z"},{"alias_kind":"pith_short_16","alias_value":"Z2ZGEVWSIIL3LB6H","created_at":"2026-07-05T01:32:57Z"},{"alias_kind":"pith_short_8","alias_value":"Z2ZGEVWS","created_at":"2026-07-05T01:32:57Z"}],"graph_snapshots":[{"event_id":"sha256:007f285ae6c1a237c40c2196328091c85f134fa51013375a82a17613844afd04","target":"graph","created_at":"2026-07-05T01:32:57Z","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/1912.09549/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Conventional fault-tolerant quantum error-correction schemes require a number of extra qubits that grows linearly with the code's maximum stabilizer generator weight. For some common distance-three codes, the recent \"flag paradigm\" uses just two extra qubits. Chamberland and Beverland (2018) provide a framework for flag error correction of arbitrary-distance codes. However, their construction requires conditions that only some code families are known to satisfy. We give a flag error-correction scheme that works for any stabilizer code, unconditionally. With fast qubit measurement and reset, it","authors_text":"Ben W. Reichardt, Rui Chao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-12-19T21:21:10Z","title":"Flag fault-tolerant error correction for any stabilizer code"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.09549","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:aba26e02466f00f574987246652027e9ee0f9b8e4bee4b7ed0089161c6a96758","target":"record","created_at":"2026-07-05T01:32:57Z","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":"9a6e1efea1c45bb7ce12f3338596acfad9f1fbcba2eff41146ff67525740ce59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-12-19T21:21:10Z","title_canon_sha256":"70ee01a6510731b0ef9fe129cbc3924c7a9b78ba759e8272db567f7b75af17b6"},"schema_version":"1.0","source":{"id":"1912.09549","kind":"arxiv","version":1}},"canonical_sha256":"ceb26256d24217b587c74e20b2291ebf65a4ce82da6947b8e3f322bdd10991a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ceb26256d24217b587c74e20b2291ebf65a4ce82da6947b8e3f322bdd10991a4","first_computed_at":"2026-07-05T01:32:57.103971Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:32:57.103971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3MYvSK1GGZvNB6uG4fi/6ueGhB5b7lFtdXPPGkapEsSkj6Ez7uEo3YVi567MwMujWF3W0qf8fBf+da8r2drXAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:32:57.104406Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.09549","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aba26e02466f00f574987246652027e9ee0f9b8e4bee4b7ed0089161c6a96758","sha256:007f285ae6c1a237c40c2196328091c85f134fa51013375a82a17613844afd04"],"state_sha256":"c4f3573dc4d6e7ac0487df785cab15b38007c447a0d9795f4ce9512b26b1727b"}