{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JAQMOJ6EQMJG4CC6XVDEBFTUWF","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":"bd24e07c73c61db850317d7110e7439c459537522244defa317f49f03c96e90d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-21T21:01:37Z","title_canon_sha256":"8eed07b7e6324e46527415fce6ae8d3d7add793d54ebee3985558fb3fbcf2e13"},"schema_version":"1.0","source":{"id":"2607.19574","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.19574","created_at":"2026-07-23T00:23:57Z"},{"alias_kind":"arxiv_version","alias_value":"2607.19574v1","created_at":"2026-07-23T00:23:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.19574","created_at":"2026-07-23T00:23:57Z"},{"alias_kind":"pith_short_12","alias_value":"JAQMOJ6EQMJG","created_at":"2026-07-23T00:23:57Z"},{"alias_kind":"pith_short_16","alias_value":"JAQMOJ6EQMJG4CC6","created_at":"2026-07-23T00:23:57Z"},{"alias_kind":"pith_short_8","alias_value":"JAQMOJ6E","created_at":"2026-07-23T00:23:57Z"}],"graph_snapshots":[{"event_id":"sha256:760cd4ff5402dbfb803dacf736647924137e322abcfa87bfec48948c5e229bcf","target":"graph","created_at":"2026-07-23T00:23:57Z","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/2607.19574/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce an adaptive simulated annealing algorithm to search for moderately-sized quantum error-correcting codes with high encoding rates and large distances. Our search targets two classes of stabilizer codes: (1) CSS codes, and (2) a subclass of CSS codes that we call ``self-dual with equivalent logicals'' (SWEL) codes, the latter of which which admit transversal implementations of logical Hadamard and phase gates that can be leveraged to construct fault-tolerant gate sets. The search is guided by an energy function that acts as a surrogate for the logical error rate in a code-capacity n","authors_text":"Ben Criger, Matthew Steinberg, Michael A. Perlin","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-21T21:01:37Z","title":"Quantum codes from classical annealing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.19574","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:f82b54119569cdfc693ce7574b4afd33f1df291c8929fcd6347988274126b0b7","target":"record","created_at":"2026-07-23T00:23:57Z","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":"bd24e07c73c61db850317d7110e7439c459537522244defa317f49f03c96e90d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-21T21:01:37Z","title_canon_sha256":"8eed07b7e6324e46527415fce6ae8d3d7add793d54ebee3985558fb3fbcf2e13"},"schema_version":"1.0","source":{"id":"2607.19574","kind":"arxiv","version":1}},"canonical_sha256":"4820c727c483126e085ebd46409674b16b72eae53f9a6d294ee7884963b0cc47","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4820c727c483126e085ebd46409674b16b72eae53f9a6d294ee7884963b0cc47","first_computed_at":"2026-07-23T00:23:57.219730Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-23T00:23:57.219730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rfC7axEkD5oEXi8D9OhsB6QkgVZK85MRwHu3IYrQWPYlexTMxyf9w0v73ZK+n7OrIrxqhgcGlRBxp9/xr5ceDg==","signature_status":"signed_v1","signed_at":"2026-07-23T00:23:57.220620Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.19574","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f82b54119569cdfc693ce7574b4afd33f1df291c8929fcd6347988274126b0b7","sha256:760cd4ff5402dbfb803dacf736647924137e322abcfa87bfec48948c5e229bcf"],"state_sha256":"f6cc380bbc755817a0a63c76d9d5c2a8cccca3d8c221dd68bac2b5b638dca8c9"}