{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TM6OPJODMAGEM2YX5MD456XMNM","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":"1ff0795ab65fd3ec30e1a5392a0e628ca97a93a832d03a8343898340de797fb3","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2015-08-31T23:27:06Z","title_canon_sha256":"40561f77df9069b17b0f978b461d19a67b9e06846ffa3e1437d0bf42174c9ff2"},"schema_version":"1.0","source":{"id":"1509.00092","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00092","created_at":"2026-05-18T01:17:00Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00092v2","created_at":"2026-05-18T01:17:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00092","created_at":"2026-05-18T01:17:00Z"},{"alias_kind":"pith_short_12","alias_value":"TM6OPJODMAGE","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TM6OPJODMAGEM2YX","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TM6OPJOD","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:ddefc808f9dd88e401841d6e9493d411054f1db0c932ade9379ddf9c2561421f","target":"graph","created_at":"2026-05-18T01:17:00Z","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"},"paper":{"abstract_excerpt":"A Boolean function on n variables is q-resilient if for any subset of at most q variables, the function is very likely to be determined by a uniformly random assignment to the remaining n-q variables; in other words, no coalition of at most q variables has significant influence on the function. Resilient functions have been extensively studied with a variety of applications in cryptography, distributed computing, and pseudorandomness. The best known balanced resilient function on n variables due to Ajtai and Linial ([AL93]) is Omega(n/(log^2 n))-resilient. However, the construction of Ajtai an","authors_text":"Raghu Meka","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2015-08-31T23:27:06Z","title":"Explicit resilient functions matching Ajtai-Linial"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00092","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:ae1f3d9275db6aa2e93507e37ff7753ac100aff82ae603a9924c5f7917b80e11","target":"record","created_at":"2026-05-18T01:17:00Z","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":"1ff0795ab65fd3ec30e1a5392a0e628ca97a93a832d03a8343898340de797fb3","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2015-08-31T23:27:06Z","title_canon_sha256":"40561f77df9069b17b0f978b461d19a67b9e06846ffa3e1437d0bf42174c9ff2"},"schema_version":"1.0","source":{"id":"1509.00092","kind":"arxiv","version":2}},"canonical_sha256":"9b3ce7a5c3600c466b17eb07cefaec6b31112c39f7a82e7bf4be01b56d67107f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b3ce7a5c3600c466b17eb07cefaec6b31112c39f7a82e7bf4be01b56d67107f","first_computed_at":"2026-05-18T01:17:00.434959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:00.434959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ca4aq0gcJ3TdVx+bM7GKya+zLpGeQW7S0nRiq42en51SY10JF5kDj1usdCg8pitGzzj7jUsgJ4+8VTLF24lYAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:00.435610Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.00092","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae1f3d9275db6aa2e93507e37ff7753ac100aff82ae603a9924c5f7917b80e11","sha256:ddefc808f9dd88e401841d6e9493d411054f1db0c932ade9379ddf9c2561421f"],"state_sha256":"f81d54dbb19b69a948c392c8711945c7d4e0f1da71d2136a7d9b3fd95954a6ce"}