{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:EN6TKYXZWNNTREUZA2OFF3VT27","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":"860ea6fd016533ec0114d1e6cc9a5504bc3ec7dd0760f27e76805e810976dc25","cross_cats_sorted":["math.GR"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2023-11-08T13:40:13Z","title_canon_sha256":"2976898640a5c7c507e737e7a7bfbfc24a400f987166c2f3db4ae33383660d69"},"schema_version":"1.0","source":{"id":"2311.04681","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.04681","created_at":"2026-07-05T07:10:39Z"},{"alias_kind":"arxiv_version","alias_value":"2311.04681v1","created_at":"2026-07-05T07:10:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.04681","created_at":"2026-07-05T07:10:39Z"},{"alias_kind":"pith_short_12","alias_value":"EN6TKYXZWNNT","created_at":"2026-07-05T07:10:39Z"},{"alias_kind":"pith_short_16","alias_value":"EN6TKYXZWNNTREUZ","created_at":"2026-07-05T07:10:39Z"},{"alias_kind":"pith_short_8","alias_value":"EN6TKYXZ","created_at":"2026-07-05T07:10:39Z"}],"graph_snapshots":[{"event_id":"sha256:d942ccce0c75efe471079b57741eec1e07ccd1c15908891e5f8fbf86ce46592f","target":"graph","created_at":"2026-07-05T07:10:39Z","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/2311.04681/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a notion of \\emph{efficient stability} for finite presentations of groups. Informally, a finite presentation using generators $S$ and relations $R$ is \\emph{stable} if any map from $S$ to unitaries that approximately satisfies the relations (in the tracial norm) is close to the restriction of a representation of $G$ to the subset $S$. This notion and variants thereof have been extensively studied in recent years, in part motivated by connections to property testing in computer science. The novelty in our work is the focus on \\emph{efficiency}, which, informally, places an onus on ","authors_text":"Henry Yuen, Michael Chapman, Thomas Vidick","cross_cats":["math.GR"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2023-11-08T13:40:13Z","title":"Efficiently stable presentations from error-correcting codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.04681","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":"sha256:47831360e9a447984fd3854a330e0331bd7e21775a2b8d878c1717a6e0fb5058","target":"record","created_at":"2026-07-05T07:10:39Z","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":"860ea6fd016533ec0114d1e6cc9a5504bc3ec7dd0760f27e76805e810976dc25","cross_cats_sorted":["math.GR"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2023-11-08T13:40:13Z","title_canon_sha256":"2976898640a5c7c507e737e7a7bfbfc24a400f987166c2f3db4ae33383660d69"},"schema_version":"1.0","source":{"id":"2311.04681","kind":"arxiv","version":1}},"canonical_sha256":"237d3562f9b35b389299069c52eeb3d7e4425bab338b787278a34d03052c561d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"237d3562f9b35b389299069c52eeb3d7e4425bab338b787278a34d03052c561d","first_computed_at":"2026-07-05T07:10:39.878928Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:10:39.878928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WWcZ0HF31nNZ8hj17Tlagos2FyXblyCxTqLcdktOjvJeqifI9LIeIBarjw0AIt8nNevZR/xCr7EyqPcaAFgtAA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:10:39.879399Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.04681","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47831360e9a447984fd3854a330e0331bd7e21775a2b8d878c1717a6e0fb5058","sha256:d942ccce0c75efe471079b57741eec1e07ccd1c15908891e5f8fbf86ce46592f"],"state_sha256":"58a7ecb47f029e9bbe1546ed93869d2b74362ee2febc76d39b0de3bdb2f7243c"}