{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:JG3LPCH3DYXZ7RABMTGZHEHSYZ","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":"cc79c91902c580aeef1b7da192cef7caafb96de2c361cdc53a69fc4848412252","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2001-12-18T20:13:18Z","title_canon_sha256":"cc3de8be19dc1b67e86777e83b84d2012fa6c1442c7768ad568ce2c4ce55b47d"},"schema_version":"1.0","source":{"id":"quant-ph/0112106","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0112106","created_at":"2026-07-04T14:45:51Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0112106v1","created_at":"2026-07-04T14:45:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0112106","created_at":"2026-07-04T14:45:51Z"},{"alias_kind":"pith_short_12","alias_value":"JG3LPCH3DYXZ","created_at":"2026-07-04T14:45:51Z"},{"alias_kind":"pith_short_16","alias_value":"JG3LPCH3DYXZ7RAB","created_at":"2026-07-04T14:45:51Z"},{"alias_kind":"pith_short_8","alias_value":"JG3LPCH3","created_at":"2026-07-04T14:45:51Z"}],"graph_snapshots":[{"event_id":"sha256:df4991451472c91ba1cf42541ee9c1748b3f8d95f2d49e6e56a76faf0692e8a5","target":"graph","created_at":"2026-07-04T14:45:51Z","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/0112106/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The errors that arise in a quantum channel can be corrected perfectly if and only if the channel does not decrease the coherent information of the input state. We show that, if the loss of coherent information is small, then approximate error correction is possible.","authors_text":"Benjamin Schumacher, Michael D. Westmoreland","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2001-12-18T20:13:18Z","title":"Approximate quantum error correction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0112106","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":"sha256:20ebe7b14a404dd5a7e369930b6b5d3d999c6692ecffedd9481162d67a6f7e5f","target":"record","created_at":"2026-07-04T14:45:51Z","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":"cc79c91902c580aeef1b7da192cef7caafb96de2c361cdc53a69fc4848412252","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2001-12-18T20:13:18Z","title_canon_sha256":"cc3de8be19dc1b67e86777e83b84d2012fa6c1442c7768ad568ce2c4ce55b47d"},"schema_version":"1.0","source":{"id":"quant-ph/0112106","kind":"arxiv","version":1}},"canonical_sha256":"49b6b788fb1e2f9fc40164cd9390f2c65aecf2a46c7afe80c660522af8068be4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49b6b788fb1e2f9fc40164cd9390f2c65aecf2a46c7afe80c660522af8068be4","first_computed_at":"2026-07-04T14:45:51.707180Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:45:51.707180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hxtAifonbKGtVBMlXRsLTRVWVkEUrN68wq8BhixZSEtFBPMAEYMLI5QGvlzN44pGIe1HU7nHczJ9YZte9+QECA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:45:51.707536Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0112106","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20ebe7b14a404dd5a7e369930b6b5d3d999c6692ecffedd9481162d67a6f7e5f","sha256:df4991451472c91ba1cf42541ee9c1748b3f8d95f2d49e6e56a76faf0692e8a5"],"state_sha256":"f602ef4944c9d80bd4976d1e55d2b4f9399e72feaa54b32578937b5fc0c4a7f7"}