{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:OEPYYZTEUPYKOUZVI7ZCUJSHWE","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":"f0b448ed12f5387d2a6696840240b98e140b582c65ebc784fe54813615c8eec9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-09-27T01:49:04Z","title_canon_sha256":"cbcb75a486a322ab6fe5c03d865791f016142e4ef0cc732d87e47395317b4225"},"schema_version":"1.0","source":{"id":"2309.15354","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.15354","created_at":"2026-07-05T06:54:44Z"},{"alias_kind":"arxiv_version","alias_value":"2309.15354v1","created_at":"2026-07-05T06:54:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.15354","created_at":"2026-07-05T06:54:44Z"},{"alias_kind":"pith_short_12","alias_value":"OEPYYZTEUPYK","created_at":"2026-07-05T06:54:44Z"},{"alias_kind":"pith_short_16","alias_value":"OEPYYZTEUPYKOUZV","created_at":"2026-07-05T06:54:44Z"},{"alias_kind":"pith_short_8","alias_value":"OEPYYZTE","created_at":"2026-07-05T06:54:44Z"}],"graph_snapshots":[{"event_id":"sha256:a16768198513f9ae7805165089c7ae82d1f4a1673eec5b98d287519dd952e7f3","target":"graph","created_at":"2026-07-05T06:54:44Z","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/2309.15354/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The surface code is one of the most popular quantum error correction codes. It comes with efficient decoders, such as the Minimum Weight Perfect Matching (MWPM) decoder and the Union-Find (UF) decoder, allowing for fast quantum error correction. For a general linear code or stabilizer code, the decoding problem is NP-hard. What makes it tractable for the surface code is the special structure of faults and checks: Each X and Z fault triggers at most two checks. As a result, faults can be interpreted as edges in a graph whose vertices are the checks, and the decoding problem can be solved using ","authors_text":"Adam Paetznick, Jeongwan Haah, Matthew B. Hastings, Nicolas Delfosse","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-09-27T01:49:04Z","title":"Splitting decoders for correcting hypergraph faults"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.15354","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":"sha256:0771cf061284e5318df9ccf43c6182cf7cec45147b2c71bd7899ae057f21b307","target":"record","created_at":"2026-07-05T06:54:44Z","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":"f0b448ed12f5387d2a6696840240b98e140b582c65ebc784fe54813615c8eec9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-09-27T01:49:04Z","title_canon_sha256":"cbcb75a486a322ab6fe5c03d865791f016142e4ef0cc732d87e47395317b4225"},"schema_version":"1.0","source":{"id":"2309.15354","kind":"arxiv","version":1}},"canonical_sha256":"711f8c6664a3f0a7533547f22a2647b1228e8f27d19d6ed3bcc9c7dd1d5aa892","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"711f8c6664a3f0a7533547f22a2647b1228e8f27d19d6ed3bcc9c7dd1d5aa892","first_computed_at":"2026-07-05T06:54:44.639398Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:54:44.639398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5+1Lcpe7lTcllB/gj9hOAc3LBptCj7CGnQKY2/56ZTrQEDGDmm1aMcqawkmtGGkUZNyx39gY2pcp+vWBDt8sCA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:54:44.639858Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.15354","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0771cf061284e5318df9ccf43c6182cf7cec45147b2c71bd7899ae057f21b307","sha256:a16768198513f9ae7805165089c7ae82d1f4a1673eec5b98d287519dd952e7f3"],"state_sha256":"e17415be1e40d13669833c634c4e41ab2044ced28095470c9cd6e511c76ffffc"}