{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:HXXXEWME65J7NG2QGI5R7LIKOM","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":"20be094aec35402a46b849b062aa92ab24bcdd52dd07695bffdded7188b602f0","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-11-08T18:52:59Z","title_canon_sha256":"9f76a9627ea319020615758989834cb2b6dce975ff4c9661b42142715cd16832"},"schema_version":"1.0","source":{"id":"2411.05785","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.05785","created_at":"2026-05-22T01:03:14Z"},{"alias_kind":"arxiv_version","alias_value":"2411.05785v2","created_at":"2026-05-22T01:03:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.05785","created_at":"2026-05-22T01:03:14Z"},{"alias_kind":"pith_short_12","alias_value":"HXXXEWME65J7","created_at":"2026-05-22T01:03:14Z"},{"alias_kind":"pith_short_16","alias_value":"HXXXEWME65J7NG2Q","created_at":"2026-05-22T01:03:14Z"},{"alias_kind":"pith_short_8","alias_value":"HXXXEWME","created_at":"2026-05-22T01:03:14Z"}],"graph_snapshots":[{"event_id":"sha256:81eb62da4bac99dd995d6b46c0ec5ce8c5d9d05ae1833fc8e047f3b26935026d","target":"graph","created_at":"2026-05-22T01:03:14Z","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/2411.05785/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The maximum likelihood (ML) decoder in the two-dimensional surface code with generic unitary errors is governed by a statistical mechanics model with complex weights, which can be simulated via (1+1)D transfer matrix contraction. Information loss with an increasing error rate manifests as a ferromagnetic-to-paramagnetic transition in the contraction dynamics. In this work, we establish entanglement as a separate obstruction to decoding; it can undergo a transition from area- to volume-law scaling in the transfer matrix contraction with increasing unitary error rate. In particular, the volume-l","authors_text":"Sajant Anand, Yimu Bao","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-11-08T18:52:59Z","title":"Phases of decodability in the surface code with unitary errors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.05785","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:b7851a0604aed6a7b90ba81ef8e44acd63a9ff12faec59ee349b8f0370deb959","target":"record","created_at":"2026-05-22T01:03:14Z","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":"20be094aec35402a46b849b062aa92ab24bcdd52dd07695bffdded7188b602f0","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-11-08T18:52:59Z","title_canon_sha256":"9f76a9627ea319020615758989834cb2b6dce975ff4c9661b42142715cd16832"},"schema_version":"1.0","source":{"id":"2411.05785","kind":"arxiv","version":2}},"canonical_sha256":"3def725984f753f69b50323b1fad0a733fed1b486090c64e0dc9926082b3fab2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3def725984f753f69b50323b1fad0a733fed1b486090c64e0dc9926082b3fab2","first_computed_at":"2026-05-22T01:03:14.153491Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T01:03:14.153491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ho6bMvOQDvuY9g9nqtVYj19zlIWHNDpEHe5a5amBgR2pkXHbApC7TKKSzjZDVAWnrK9Rf6H1ljOXMgUmApJQAQ==","signature_status":"signed_v1","signed_at":"2026-05-22T01:03:14.154368Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.05785","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7851a0604aed6a7b90ba81ef8e44acd63a9ff12faec59ee349b8f0370deb959","sha256:81eb62da4bac99dd995d6b46c0ec5ce8c5d9d05ae1833fc8e047f3b26935026d"],"state_sha256":"1de180af33d73750dc673e33093dfa21914ed613e7f7477393a042a7ba79fd72"}