{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:OQLGCV7254A5OPAIWXPHPJ7CRK","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":"e2742909d016742354e1fc7a94d4d0587f3f0e2345f2614b4c303c45bb8852f3","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2023-03-30T17:23:45Z","title_canon_sha256":"3410f9f54d9a333cb5e3e8cad09aa3125081e5b16fdc5d48bf507c0c6e984780"},"schema_version":"1.0","source":{"id":"2303.17554","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.17554","created_at":"2026-07-05T05:59:23Z"},{"alias_kind":"arxiv_version","alias_value":"2303.17554v2","created_at":"2026-07-05T05:59:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.17554","created_at":"2026-07-05T05:59:23Z"},{"alias_kind":"pith_short_12","alias_value":"OQLGCV7254A5","created_at":"2026-07-05T05:59:23Z"},{"alias_kind":"pith_short_16","alias_value":"OQLGCV7254A5OPAI","created_at":"2026-07-05T05:59:23Z"},{"alias_kind":"pith_short_8","alias_value":"OQLGCV72","created_at":"2026-07-05T05:59:23Z"}],"graph_snapshots":[{"event_id":"sha256:515a28c5b5e19cdc8fb052a8e2b6ff236b845e5f52e3cd056363340377324833","target":"graph","created_at":"2026-07-05T05:59:23Z","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/2303.17554/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a novel family of expander-based error correcting codes. These codes can be sampled with randomness linear in the block-length, and achieve list-decoding capacity (among other local properties). Our expander-based codes can be made starting from any family of sufficiently low-bias codes, and as a consequence, we give the first construction of a family of algebraic codes that can be sampled with linear randomness and achieve list-decoding capacity. We achieve this by introducing the notion of a pseudorandom puncturing of a code, where we select $n$ indices of a base code $C\\subset ","authors_text":"Aaron L Putterman, Edward Pyne","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2023-03-30T17:23:45Z","title":"Pseudorandom Linear Codes are List Decodable to Capacity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.17554","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:b56a71549a2cc212734b5e570ab22b5b537494710575f99e21e36e9d7f9670a2","target":"record","created_at":"2026-07-05T05:59:23Z","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":"e2742909d016742354e1fc7a94d4d0587f3f0e2345f2614b4c303c45bb8852f3","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2023-03-30T17:23:45Z","title_canon_sha256":"3410f9f54d9a333cb5e3e8cad09aa3125081e5b16fdc5d48bf507c0c6e984780"},"schema_version":"1.0","source":{"id":"2303.17554","kind":"arxiv","version":2}},"canonical_sha256":"74166157faef01d73c08b5de77a7e28ab2f91fa0b13bef0d267421f8a99b608f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74166157faef01d73c08b5de77a7e28ab2f91fa0b13bef0d267421f8a99b608f","first_computed_at":"2026-07-05T05:59:23.998871Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:59:23.998871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VK9rK6GffiYuTv6JFqPCgjYn/65K1UcNvEOosl7aYGI95p5KR1gX6YoPzU40LTjKp/uXVtLnWKF9aipmLW1ZBg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:59:23.999259Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.17554","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b56a71549a2cc212734b5e570ab22b5b537494710575f99e21e36e9d7f9670a2","sha256:515a28c5b5e19cdc8fb052a8e2b6ff236b845e5f52e3cd056363340377324833"],"state_sha256":"cced16ca21953ba2b4f05af1645b5b0e23d6a564c6ecaeb11fe2f9289f7cef37"}