{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:7PNBOBVGBGXRDKCIXZTFMP674S","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":"ddc5bccac956435c0c16626117a679c3f8d4901a2518985be207c581788fb3b5","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1997-03-04T19:36:49Z","title_canon_sha256":"b9a5c1271c2d3f515829f57917cf58d8de50e859a940511674a5e9e2da6d0fc1"},"schema_version":"1.0","source":{"id":"quant-ph/9703002","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9703002","created_at":"2026-07-04T15:36:41Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9703002v2","created_at":"2026-07-04T15:36:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9703002","created_at":"2026-07-04T15:36:41Z"},{"alias_kind":"pith_short_12","alias_value":"7PNBOBVGBGXR","created_at":"2026-07-04T15:36:41Z"},{"alias_kind":"pith_short_16","alias_value":"7PNBOBVGBGXRDKCI","created_at":"2026-07-04T15:36:41Z"},{"alias_kind":"pith_short_8","alias_value":"7PNBOBVG","created_at":"2026-07-04T15:36:41Z"}],"graph_snapshots":[{"event_id":"sha256:d2c273330376cab7c639558e9e0709357fb1ae562be32370ebe89c3d75932718","target":"graph","created_at":"2026-07-04T15:36:41Z","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/9703002/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Up to now every good quantum error-correcting code discovered has had the structure of an eigenspace of an Abelian group generated by tensor products of Pauli matrices; such codes are known as stabilizer or additive codes. In this letter we present the first example of a code that is better than any code of this type. It encodes six states in five qubits and can correct the erasure of any single qubit.","authors_text":"Eric M. Rains, N. J. A. Sloane (AT&T Research), Peter W. Shor, R. H. Hardin","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1997-03-04T19:36:49Z","title":"A nonadditive quantum code"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9703002","kind":"arxiv","version":2},"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":"sha256:23e9e2f7da25490af8da947f032fb6c41021298622c0692f19bd31855258e9f0","target":"record","created_at":"2026-07-04T15:36:41Z","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":"ddc5bccac956435c0c16626117a679c3f8d4901a2518985be207c581788fb3b5","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1997-03-04T19:36:49Z","title_canon_sha256":"b9a5c1271c2d3f515829f57917cf58d8de50e859a940511674a5e9e2da6d0fc1"},"schema_version":"1.0","source":{"id":"quant-ph/9703002","kind":"arxiv","version":2}},"canonical_sha256":"fbda1706a609af11a848be66563fdfe48b3e5c49e6db9b999698d7f4c1db3211","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fbda1706a609af11a848be66563fdfe48b3e5c49e6db9b999698d7f4c1db3211","first_computed_at":"2026-07-04T15:36:41.920733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:36:41.920733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hZGvcAo3QgMdlYuoNsyfTQyx1/pyrhko77e3o1D6E79kp1I3R9PqQEqfy/X3eXHAi9LmpDFfDMB12KjY6Km8DA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:36:41.921135Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9703002","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:23e9e2f7da25490af8da947f032fb6c41021298622c0692f19bd31855258e9f0","sha256:d2c273330376cab7c639558e9e0709357fb1ae562be32370ebe89c3d75932718"],"state_sha256":"c327176891ea5e41340d400746169f270ab751070a992a3d94ae30d9cdbcd282"}