{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:SPNSOKOEM42H7YNKXSLVGGEWCR","short_pith_number":"pith:SPNSOKOE","schema_version":"1.0","canonical_sha256":"93db2729c467347fe1aabc97531896145a623748910350ff4f9c95516fc006e6","source":{"kind":"arxiv","id":"1802.04859","version":1},"attestation_state":"computed","paper":{"title":"Distribution-free Junta Testing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CC","authors_text":"Jinyu Xie, Rocco A. Servedio, Xi Chen, Ying Sheng, Zhengyang Liu","submitted_at":"2018-02-13T21:17:54Z","abstract_excerpt":"We study the problem of testing whether an unknown $n$-variable Boolean function is a $k$-junta in the distribution-free property testing model, where the distance between functions is measured with respect to an arbitrary and unknown probability distribution over $\\{0,1\\}^n$. Our first main result is that distribution-free $k$-junta testing can be performed, with one-sided error, by an adaptive algorithm that uses $\\tilde{O}(k^2)/\\epsilon$ queries (independent of $n$). Complementing this, our second main result is a lower bound showing that any non-adaptive distribution-free $k$-junta testing"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1802.04859","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2018-02-13T21:17:54Z","cross_cats_sorted":[],"title_canon_sha256":"0e44e64bf80c77e15eb0ff52f212d01e042427f6d476ed902271c8482c011df4","abstract_canon_sha256":"af0563adf38589827901fe589c184f4a37329904c68b26aaf9cfebd4fad28fb4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:22.413281Z","signature_b64":"nTEhlULBbSDCuKKdnu3Jj7fdsbJ8KCmA96OeyyhjazrXOyZkeGI6l/LHuYpiffFiyr2LE/UrdEzXuSPKJZnOBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93db2729c467347fe1aabc97531896145a623748910350ff4f9c95516fc006e6","last_reissued_at":"2026-05-18T00:23:22.412671Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:22.412671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Distribution-free Junta Testing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CC","authors_text":"Jinyu Xie, Rocco A. Servedio, Xi Chen, Ying Sheng, Zhengyang Liu","submitted_at":"2018-02-13T21:17:54Z","abstract_excerpt":"We study the problem of testing whether an unknown $n$-variable Boolean function is a $k$-junta in the distribution-free property testing model, where the distance between functions is measured with respect to an arbitrary and unknown probability distribution over $\\{0,1\\}^n$. Our first main result is that distribution-free $k$-junta testing can be performed, with one-sided error, by an adaptive algorithm that uses $\\tilde{O}(k^2)/\\epsilon$ queries (independent of $n$). Complementing this, our second main result is a lower bound showing that any non-adaptive distribution-free $k$-junta testing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.04859","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1802.04859","created_at":"2026-05-18T00:23:22.412748+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.04859v1","created_at":"2026-05-18T00:23:22.412748+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.04859","created_at":"2026-05-18T00:23:22.412748+00:00"},{"alias_kind":"pith_short_12","alias_value":"SPNSOKOEM42H","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"SPNSOKOEM42H7YNK","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"SPNSOKOE","created_at":"2026-05-18T12:32:53.628368+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SPNSOKOEM42H7YNKXSLVGGEWCR","json":"https://pith.science/pith/SPNSOKOEM42H7YNKXSLVGGEWCR.json","graph_json":"https://pith.science/api/pith-number/SPNSOKOEM42H7YNKXSLVGGEWCR/graph.json","events_json":"https://pith.science/api/pith-number/SPNSOKOEM42H7YNKXSLVGGEWCR/events.json","paper":"https://pith.science/paper/SPNSOKOE"},"agent_actions":{"view_html":"https://pith.science/pith/SPNSOKOEM42H7YNKXSLVGGEWCR","download_json":"https://pith.science/pith/SPNSOKOEM42H7YNKXSLVGGEWCR.json","view_paper":"https://pith.science/paper/SPNSOKOE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.04859&json=true","fetch_graph":"https://pith.science/api/pith-number/SPNSOKOEM42H7YNKXSLVGGEWCR/graph.json","fetch_events":"https://pith.science/api/pith-number/SPNSOKOEM42H7YNKXSLVGGEWCR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SPNSOKOEM42H7YNKXSLVGGEWCR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SPNSOKOEM42H7YNKXSLVGGEWCR/action/storage_attestation","attest_author":"https://pith.science/pith/SPNSOKOEM42H7YNKXSLVGGEWCR/action/author_attestation","sign_citation":"https://pith.science/pith/SPNSOKOEM42H7YNKXSLVGGEWCR/action/citation_signature","submit_replication":"https://pith.science/pith/SPNSOKOEM42H7YNKXSLVGGEWCR/action/replication_record"}},"created_at":"2026-05-18T00:23:22.412748+00:00","updated_at":"2026-05-18T00:23:22.412748+00:00"}