{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:DED7K2NIR3KP6IRMD22BDXO5CY","short_pith_number":"pith:DED7K2NI","schema_version":"1.0","canonical_sha256":"1907f569a88ed4ff222c1eb411dddd1611168dc0cf551bb1dfb144a5811b6a58","source":{"kind":"arxiv","id":"2104.04847","version":2},"attestation_state":"computed","paper":{"title":"Fundamental thresholds of realistic quantum error correction circuits from classical spin models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-lat"],"primary_cat":"quant-ph","authors_text":"Davide Vodola, Manuel Rispler, Markus M\\\"uller, Seyong Kim","submitted_at":"2021-04-10T19:26:37Z","abstract_excerpt":"Mapping quantum error correcting codes to classical disordered statistical mechanics models and studying the phase diagram of the latter has proven a powerful tool to study the fundamental error robustness and associated critical error thresholds of leading quantum error correcting codes under phenomenological noise models. In this work, we extend this mapping to admit realistic, multi-parameter faulty quantum circuits in the description of quantum error correcting codes. Based on the underlying microscopic circuit noise model, we first systematically derive the associated strongly correlated "},"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":"2104.04847","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-04-10T19:26:37Z","cross_cats_sorted":["cond-mat.stat-mech","hep-lat"],"title_canon_sha256":"619bf4072cc39b7960378c98a75d9944b2268d1d00340c0a717856ce284c64ef","abstract_canon_sha256":"a3d69ec713eaa8cc266179a1592865dca6d67c18b763cdccd60ef4d5dabdf73a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:47:43.743669Z","signature_b64":"fFAtWjOuptn9pnNr+NPxBSYYRTBh8iH51AzWflKIQ2XB/VDsyW2zOR3qZAdtX4fdSr7BSYiqYFLJ48QvkhhHBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1907f569a88ed4ff222c1eb411dddd1611168dc0cf551bb1dfb144a5811b6a58","last_reissued_at":"2026-07-05T03:47:43.743209Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:47:43.743209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fundamental thresholds of realistic quantum error correction circuits from classical spin models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-lat"],"primary_cat":"quant-ph","authors_text":"Davide Vodola, Manuel Rispler, Markus M\\\"uller, Seyong Kim","submitted_at":"2021-04-10T19:26:37Z","abstract_excerpt":"Mapping quantum error correcting codes to classical disordered statistical mechanics models and studying the phase diagram of the latter has proven a powerful tool to study the fundamental error robustness and associated critical error thresholds of leading quantum error correcting codes under phenomenological noise models. In this work, we extend this mapping to admit realistic, multi-parameter faulty quantum circuits in the description of quantum error correcting codes. Based on the underlying microscopic circuit noise model, we first systematically derive the associated strongly correlated "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.04847","kind":"arxiv","version":2},"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/2104.04847/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":"2104.04847","created_at":"2026-07-05T03:47:43.743287+00:00"},{"alias_kind":"arxiv_version","alias_value":"2104.04847v2","created_at":"2026-07-05T03:47:43.743287+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.04847","created_at":"2026-07-05T03:47:43.743287+00:00"},{"alias_kind":"pith_short_12","alias_value":"DED7K2NIR3KP","created_at":"2026-07-05T03:47:43.743287+00:00"},{"alias_kind":"pith_short_16","alias_value":"DED7K2NIR3KP6IRM","created_at":"2026-07-05T03:47:43.743287+00:00"},{"alias_kind":"pith_short_8","alias_value":"DED7K2NI","created_at":"2026-07-05T03:47:43.743287+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.15758","citing_title":"A partition function framework for estimating logical error curves in stabilizer codes","ref_index":13,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DED7K2NIR3KP6IRMD22BDXO5CY","json":"https://pith.science/pith/DED7K2NIR3KP6IRMD22BDXO5CY.json","graph_json":"https://pith.science/api/pith-number/DED7K2NIR3KP6IRMD22BDXO5CY/graph.json","events_json":"https://pith.science/api/pith-number/DED7K2NIR3KP6IRMD22BDXO5CY/events.json","paper":"https://pith.science/paper/DED7K2NI"},"agent_actions":{"view_html":"https://pith.science/pith/DED7K2NIR3KP6IRMD22BDXO5CY","download_json":"https://pith.science/pith/DED7K2NIR3KP6IRMD22BDXO5CY.json","view_paper":"https://pith.science/paper/DED7K2NI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2104.04847&json=true","fetch_graph":"https://pith.science/api/pith-number/DED7K2NIR3KP6IRMD22BDXO5CY/graph.json","fetch_events":"https://pith.science/api/pith-number/DED7K2NIR3KP6IRMD22BDXO5CY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DED7K2NIR3KP6IRMD22BDXO5CY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DED7K2NIR3KP6IRMD22BDXO5CY/action/storage_attestation","attest_author":"https://pith.science/pith/DED7K2NIR3KP6IRMD22BDXO5CY/action/author_attestation","sign_citation":"https://pith.science/pith/DED7K2NIR3KP6IRMD22BDXO5CY/action/citation_signature","submit_replication":"https://pith.science/pith/DED7K2NIR3KP6IRMD22BDXO5CY/action/replication_record"}},"created_at":"2026-07-05T03:47:43.743287+00:00","updated_at":"2026-07-05T03:47:43.743287+00:00"}