{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:77AGGUVKHHEGN5AN7PIVK4U6NL","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":"81783ef1cc56b17b8bdc589970f42f9bc1bcf162c0fd4cc4817b14e165537298","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1997-04-02T06:38:07Z","title_canon_sha256":"89918e4450c51d28579ac4d4d6ae014c86964019e15d1f112f55f8cd5debddae"},"schema_version":"1.0","source":{"id":"quant-ph/9704002","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9704002","created_at":"2026-07-04T15:34:53Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9704002v1","created_at":"2026-07-04T15:34:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9704002","created_at":"2026-07-04T15:34:53Z"},{"alias_kind":"pith_short_12","alias_value":"77AGGUVKHHEG","created_at":"2026-07-04T15:34:53Z"},{"alias_kind":"pith_short_16","alias_value":"77AGGUVKHHEGN5AN","created_at":"2026-07-04T15:34:53Z"},{"alias_kind":"pith_short_8","alias_value":"77AGGUVK","created_at":"2026-07-04T15:34:53Z"}],"graph_snapshots":[{"event_id":"sha256:257aea4b457ac49fe4b52f7cb5fa959d0bac05b179b32964f9e2022651ef8e8c","target":"graph","created_at":"2026-07-04T15:34:53Z","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/quant-ph/9704002/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present relaxed criteria for quantum error correction which are useful when the specific dominant noise process is known. These criteria have no classical analogue. As an example, we provide a four-bit code which corrects for a single amplitude damping error. This code violates the usual Hamming bound calculated for a Pauli description of the error process, and does not fit into the GF(4) classification.","authors_text":"D. W. Leung, I. L. Chuang, M. A. Nielsen, Y. Yamamoto","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1997-04-02T06:38:07Z","title":"Approximate quantum error correction can lead to better codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9704002","kind":"arxiv","version":1},"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:f9a912d7c78e16cd51558600a0ae4e10ece53b2dff8e5e68ecd4ca07a4ee7619","target":"record","created_at":"2026-07-04T15:34:53Z","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":"81783ef1cc56b17b8bdc589970f42f9bc1bcf162c0fd4cc4817b14e165537298","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1997-04-02T06:38:07Z","title_canon_sha256":"89918e4450c51d28579ac4d4d6ae014c86964019e15d1f112f55f8cd5debddae"},"schema_version":"1.0","source":{"id":"quant-ph/9704002","kind":"arxiv","version":1}},"canonical_sha256":"ffc06352aa39c866f40dfbd155729e6ac7f894ed3463c4bf7a3cc66e6da90e4b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffc06352aa39c866f40dfbd155729e6ac7f894ed3463c4bf7a3cc66e6da90e4b","first_computed_at":"2026-07-04T15:34:53.431827Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:34:53.431827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WmULPcJuH7PM78KD9C+CVEFeVJK14qCh1JUJGqkKPAdT8+qd/1TtxCJHVruXxY+IWmS2TXjMizQZH3LyDBhrAg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:34:53.432275Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9704002","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9a912d7c78e16cd51558600a0ae4e10ece53b2dff8e5e68ecd4ca07a4ee7619","sha256:257aea4b457ac49fe4b52f7cb5fa959d0bac05b179b32964f9e2022651ef8e8c"],"state_sha256":"07ba30f3c186d3726ee905fef8d56b594be7e2ab5b942b4460308434ac7378e9"}