{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:H2A62TFSQLT7HYZ5DX223SCQCB","short_pith_number":"pith:H2A62TFS","schema_version":"1.0","canonical_sha256":"3e81ed4cb282e7f3e33d1df5adc85010778449ab2e9f8487dca60c07e44d25ae","source":{"kind":"arxiv","id":"quant-ph/0304016","version":2},"attestation_state":"computed","paper":{"title":"Quantum Computing and Error Correction","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A. M. Steane","submitted_at":"2003-04-02T15:02:52Z","abstract_excerpt":"The main ideas of quantum error correction are introduced. These are encoding, extraction of syndromes, error operators, and code construction. It is shown that general noise and relaxation of a set of 2-state quantum systems can always be understood as a combination of Pauli operators acting on the system. Each quantum error correcting code allows a subset of these errors to be corrected. In many situations the noise is such that the remaining uncorrectable errors are unlikely to arise, and hence quantum error correction has a high probability of success. In order to achieve the best noise to"},"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":"quant-ph/0304016","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2003-04-02T15:02:52Z","cross_cats_sorted":[],"title_canon_sha256":"5c6dc3976f3892d21ce37992974f22c499971668c0b5608a84f7978de7b86db8","abstract_canon_sha256":"0a6fc8bfda44c914d60cc05a5948ebce24d66fd89fa1700ed69af03683777734"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:46:09.323021Z","signature_b64":"+vBGG+s05tY9pSPUrcl/Vx6WNwcOfuxsHRMpSF5mCnBtMg98gwctfV6gVyi7vMTuPz0ymKXldZUJAIGpXH4vAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e81ed4cb282e7f3e33d1df5adc85010778449ab2e9f8487dca60c07e44d25ae","last_reissued_at":"2026-07-04T14:46:09.322672Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:46:09.322672Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Computing and Error Correction","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A. M. Steane","submitted_at":"2003-04-02T15:02:52Z","abstract_excerpt":"The main ideas of quantum error correction are introduced. These are encoding, extraction of syndromes, error operators, and code construction. It is shown that general noise and relaxation of a set of 2-state quantum systems can always be understood as a combination of Pauli operators acting on the system. Each quantum error correcting code allows a subset of these errors to be corrected. In many situations the noise is such that the remaining uncorrectable errors are unlikely to arise, and hence quantum error correction has a high probability of success. In order to achieve the best noise to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0304016","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/quant-ph/0304016/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":"quant-ph/0304016","created_at":"2026-07-04T14:46:09.322727+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0304016v2","created_at":"2026-07-04T14:46:09.322727+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0304016","created_at":"2026-07-04T14:46:09.322727+00:00"},{"alias_kind":"pith_short_12","alias_value":"H2A62TFSQLT7","created_at":"2026-07-04T14:46:09.322727+00:00"},{"alias_kind":"pith_short_16","alias_value":"H2A62TFSQLT7HYZ5","created_at":"2026-07-04T14:46:09.322727+00:00"},{"alias_kind":"pith_short_8","alias_value":"H2A62TFS","created_at":"2026-07-04T14:46:09.322727+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/H2A62TFSQLT7HYZ5DX223SCQCB","json":"https://pith.science/pith/H2A62TFSQLT7HYZ5DX223SCQCB.json","graph_json":"https://pith.science/api/pith-number/H2A62TFSQLT7HYZ5DX223SCQCB/graph.json","events_json":"https://pith.science/api/pith-number/H2A62TFSQLT7HYZ5DX223SCQCB/events.json","paper":"https://pith.science/paper/H2A62TFS"},"agent_actions":{"view_html":"https://pith.science/pith/H2A62TFSQLT7HYZ5DX223SCQCB","download_json":"https://pith.science/pith/H2A62TFSQLT7HYZ5DX223SCQCB.json","view_paper":"https://pith.science/paper/H2A62TFS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0304016&json=true","fetch_graph":"https://pith.science/api/pith-number/H2A62TFSQLT7HYZ5DX223SCQCB/graph.json","fetch_events":"https://pith.science/api/pith-number/H2A62TFSQLT7HYZ5DX223SCQCB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H2A62TFSQLT7HYZ5DX223SCQCB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H2A62TFSQLT7HYZ5DX223SCQCB/action/storage_attestation","attest_author":"https://pith.science/pith/H2A62TFSQLT7HYZ5DX223SCQCB/action/author_attestation","sign_citation":"https://pith.science/pith/H2A62TFSQLT7HYZ5DX223SCQCB/action/citation_signature","submit_replication":"https://pith.science/pith/H2A62TFSQLT7HYZ5DX223SCQCB/action/replication_record"}},"created_at":"2026-07-04T14:46:09.322727+00:00","updated_at":"2026-07-04T14:46:09.322727+00:00"}