{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:NXZHLCTMQGRLOIGKGDCP4GTVWI","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":"9e630ac6efcd62b8d0ae6269d0d6dfc8da5af4241be0fb09b77d18d36381a7f7","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech","cond-mat.str-el","hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-10-23T12:30:55Z","title_canon_sha256":"976560cd58087ca3385818fe716e9c5f41a93089eb34514ca41fdccdbf1fcfdc"},"schema_version":"1.0","source":{"id":"2510.20489","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.20489","created_at":"2026-07-01T01:17:42Z"},{"alias_kind":"arxiv_version","alias_value":"2510.20489v3","created_at":"2026-07-01T01:17:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.20489","created_at":"2026-07-01T01:17:42Z"},{"alias_kind":"pith_short_12","alias_value":"NXZHLCTMQGRL","created_at":"2026-07-01T01:17:42Z"},{"alias_kind":"pith_short_16","alias_value":"NXZHLCTMQGRLOIGK","created_at":"2026-07-01T01:17:42Z"},{"alias_kind":"pith_short_8","alias_value":"NXZHLCTM","created_at":"2026-07-01T01:17:42Z"}],"graph_snapshots":[{"event_id":"sha256:4d533d55eb0ef5bf339f7abe15fcc511ebee408d99e666c028fca2b254c791bf","target":"graph","created_at":"2026-07-01T01:17:42Z","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/2510.20489/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Three-dimensional (3D) topological codes offer the advantage of supporting fault-tolerant implementations of non-Clifford gates, yet their performance against realistic noise remains largely unexplored. In this work, we focus on the paradigmatic 3D toric code and investigate its fault-tolerance thresholds in the presence of both Pauli and measurement errors. Two randomly coupled lattice gauge models that describe the code's correctability are derived, including a random 2-form $\\mathbb{Z}_2$ gauge theory. By exploiting a generalized duality technique, we show that the 3D toric code exhibits op","authors_text":"Hao Song, Ji-Ze Xu, Ke Liu, Miguel A. Martin-Delgado, Yin Zhong","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech","cond-mat.str-el","hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-10-23T12:30:55Z","title":"Phenomenological Noise Models and Optimal Thresholds of the 3D Toric Code"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.20489","kind":"arxiv","version":3},"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:f2675bf9f21d7481b5b980b8aab5ff42926118195303f8eb28b8fcd4dff26ec9","target":"record","created_at":"2026-07-01T01:17:42Z","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":"9e630ac6efcd62b8d0ae6269d0d6dfc8da5af4241be0fb09b77d18d36381a7f7","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech","cond-mat.str-el","hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-10-23T12:30:55Z","title_canon_sha256":"976560cd58087ca3385818fe716e9c5f41a93089eb34514ca41fdccdbf1fcfdc"},"schema_version":"1.0","source":{"id":"2510.20489","kind":"arxiv","version":3}},"canonical_sha256":"6df2758a6c81a2b720ca30c4fe1a75b21248a28413b9c3941f538f7fa50e6dc4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6df2758a6c81a2b720ca30c4fe1a75b21248a28413b9c3941f538f7fa50e6dc4","first_computed_at":"2026-07-01T01:17:42.432017Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-01T01:17:42.432017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"COgOmg1AGLA4ZK/iqtW9OeTLNkCI+OfhdKQgYQFQ9v0kx0gHPlrhrJBiA4eBvgQHCTeIdrrVTeu8HhS6+I45CQ==","signature_status":"signed_v1","signed_at":"2026-07-01T01:17:42.432545Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.20489","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2675bf9f21d7481b5b980b8aab5ff42926118195303f8eb28b8fcd4dff26ec9","sha256:4d533d55eb0ef5bf339f7abe15fcc511ebee408d99e666c028fca2b254c791bf"],"state_sha256":"ed6b367d537db951ff73b197a044cc078b090dfe917ef32ac06054229b84ac4b"}