{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:HX6XTK7M33JSY643IFD4TITPSY","short_pith_number":"pith:HX6XTK7M","schema_version":"1.0","canonical_sha256":"3dfd79abecded32c7b9b4147c9a26f960d32ef2a712653f5f31d73b7f59a9e76","source":{"kind":"arxiv","id":"2605.23236","version":1},"attestation_state":"computed","paper":{"title":"A Posterior MWPM Decoding Boosts the XYZ Planar Code","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Liqi Wang, Zhiwei Wang","submitted_at":"2026-05-22T05:08:57Z","abstract_excerpt":"The minimum-weight perfect matching (MWPM) decoder is a standard decoding strategy for surface codes, but its performance degrades considerably under biased noise. In this paper, a modified surface code, termed the XYZ planar code, is introduced, and the MWPM decoder is extended to posterior MWPM (pMWPM) with almost no increase in decoding complexity. The XYZ planar code exhibits higher and more stable thresholds than the planar code under almost all bias conditions, while also achieving significantly lower logical error rates. Specifically, in the infinite-bias case, the threshold of the XYZ "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2605.23236","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2026-05-22T05:08:57Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"42febf82e3574b42abe0b7810cb485fe19f07788727a82f10f6c68e5f2963e43","abstract_canon_sha256":"00cbf55027ffd88b8e7c96ab357cc2c76dac168193351eaa4c89a386305719e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:01:45.067808Z","signature_b64":"wAHKOKm4HD9cA7BUSRCAuOSBrOfY5NnNocM1L2kz+vB5imTe0nb6fZ0FGf8sMqO3vWbhiQ0/9e9RiJk7W7YOCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3dfd79abecded32c7b9b4147c9a26f960d32ef2a712653f5f31d73b7f59a9e76","last_reissued_at":"2026-05-25T02:01:45.067276Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:01:45.067276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Posterior MWPM Decoding Boosts the XYZ Planar Code","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Liqi Wang, Zhiwei Wang","submitted_at":"2026-05-22T05:08:57Z","abstract_excerpt":"The minimum-weight perfect matching (MWPM) decoder is a standard decoding strategy for surface codes, but its performance degrades considerably under biased noise. In this paper, a modified surface code, termed the XYZ planar code, is introduced, and the MWPM decoder is extended to posterior MWPM (pMWPM) with almost no increase in decoding complexity. The XYZ planar code exhibits higher and more stable thresholds than the planar code under almost all bias conditions, while also achieving significantly lower logical error rates. Specifically, in the infinite-bias case, the threshold of the XYZ "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23236","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.23236/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2605.23236","created_at":"2026-05-25T02:01:45.067362+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.23236v1","created_at":"2026-05-25T02:01:45.067362+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23236","created_at":"2026-05-25T02:01:45.067362+00:00"},{"alias_kind":"pith_short_12","alias_value":"HX6XTK7M33JS","created_at":"2026-05-25T02:01:45.067362+00:00"},{"alias_kind":"pith_short_16","alias_value":"HX6XTK7M33JSY643","created_at":"2026-05-25T02:01:45.067362+00:00"},{"alias_kind":"pith_short_8","alias_value":"HX6XTK7M","created_at":"2026-05-25T02:01:45.067362+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HX6XTK7M33JSY643IFD4TITPSY","json":"https://pith.science/pith/HX6XTK7M33JSY643IFD4TITPSY.json","graph_json":"https://pith.science/api/pith-number/HX6XTK7M33JSY643IFD4TITPSY/graph.json","events_json":"https://pith.science/api/pith-number/HX6XTK7M33JSY643IFD4TITPSY/events.json","paper":"https://pith.science/paper/HX6XTK7M"},"agent_actions":{"view_html":"https://pith.science/pith/HX6XTK7M33JSY643IFD4TITPSY","download_json":"https://pith.science/pith/HX6XTK7M33JSY643IFD4TITPSY.json","view_paper":"https://pith.science/paper/HX6XTK7M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.23236&json=true","fetch_graph":"https://pith.science/api/pith-number/HX6XTK7M33JSY643IFD4TITPSY/graph.json","fetch_events":"https://pith.science/api/pith-number/HX6XTK7M33JSY643IFD4TITPSY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HX6XTK7M33JSY643IFD4TITPSY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HX6XTK7M33JSY643IFD4TITPSY/action/storage_attestation","attest_author":"https://pith.science/pith/HX6XTK7M33JSY643IFD4TITPSY/action/author_attestation","sign_citation":"https://pith.science/pith/HX6XTK7M33JSY643IFD4TITPSY/action/citation_signature","submit_replication":"https://pith.science/pith/HX6XTK7M33JSY643IFD4TITPSY/action/replication_record"}},"created_at":"2026-05-25T02:01:45.067362+00:00","updated_at":"2026-05-25T02:01:45.067362+00:00"}