{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:LCWLWNOHHXZHPVUTW3ZOQSQJOW","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":"5b93450e333aa5adf6c9b7bff2620c7987f89b678b1707d52f1dc31b375013d9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-02-19T17:01:29Z","title_canon_sha256":"8ebd21b7235ee009b4528890a3f95ca3931ef0f94d5f25001c08bbcdddba19e6"},"schema_version":"1.0","source":{"id":"2102.10030","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.10030","created_at":"2026-07-05T06:35:22Z"},{"alias_kind":"arxiv_version","alias_value":"2102.10030v3","created_at":"2026-07-05T06:35:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.10030","created_at":"2026-07-05T06:35:22Z"},{"alias_kind":"pith_short_12","alias_value":"LCWLWNOHHXZH","created_at":"2026-07-05T06:35:22Z"},{"alias_kind":"pith_short_16","alias_value":"LCWLWNOHHXZHPVUT","created_at":"2026-07-05T06:35:22Z"},{"alias_kind":"pith_short_8","alias_value":"LCWLWNOH","created_at":"2026-07-05T06:35:22Z"}],"graph_snapshots":[{"event_id":"sha256:5f1355d21651f5c4c1035ee1e09198ff76ccd00fca86b1f2408043ffe53743f8","target":"graph","created_at":"2026-07-05T06:35:22Z","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/2102.10030/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a general procedure for weight reducing quantum codes. This corrects a previous work\\cite{owr}, and introduces a new technique that we call \"coning\" to effectively induce high weight stabilizers in an LDPC code. As one application, any LDPC code (with arbitrary $O(1)$ stabilizer weights) may be turned into a code where all stabilizers have weight at most $5$ at the cost of at most a constant factor increase in number of physical qubits and constant factor reduction in distance. Also, by applying this technique to a quantum code whose $X$-stabilizers are derived from a classical log-wei","authors_text":"M. B. Hastings","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-02-19T17:01:29Z","title":"On Quantum Weight Reduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.10030","kind":"arxiv","version":3},"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":"sha256:69c0da72845094d5451bf205ec0bd28f89022f8ac24d36994d32d02436c3bef1","target":"record","created_at":"2026-07-05T06:35:22Z","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":"5b93450e333aa5adf6c9b7bff2620c7987f89b678b1707d52f1dc31b375013d9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-02-19T17:01:29Z","title_canon_sha256":"8ebd21b7235ee009b4528890a3f95ca3931ef0f94d5f25001c08bbcdddba19e6"},"schema_version":"1.0","source":{"id":"2102.10030","kind":"arxiv","version":3}},"canonical_sha256":"58acbb35c73df277d693b6f2e84a097585db0bb9f7967c71e3d90b03ccfe8a28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58acbb35c73df277d693b6f2e84a097585db0bb9f7967c71e3d90b03ccfe8a28","first_computed_at":"2026-07-05T06:35:22.194960Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:35:22.194960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QLGUUh+9SslRDgv+FTnM9i2yKutTCXYmobQQju0mEBNy6M1PVRZIqLhs9KMrXrVtzUF7Qjl/q9OKnCXyHMEmDw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:35:22.195366Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.10030","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69c0da72845094d5451bf205ec0bd28f89022f8ac24d36994d32d02436c3bef1","sha256:5f1355d21651f5c4c1035ee1e09198ff76ccd00fca86b1f2408043ffe53743f8"],"state_sha256":"6c2cda353d8ae841faddab362e3017a83c6280fa0d40d0b07f1a5d754bd5c817"}