{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:75DV6DRDS7H6A6IDBOY3GVT5E6","short_pith_number":"pith:75DV6DRD","schema_version":"1.0","canonical_sha256":"ff475f0e2397cfe079030bb1b3567d27b13edf391603eeb2efc282e40dedfac1","source":{"kind":"arxiv","id":"2607.20751","version":1},"attestation_state":"computed","paper":{"title":"Local permutation tests for conditional independence: an adaptive binning perspective","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"David Chen, Rina Foygel Barber, Rohan Hore","submitted_at":"2026-07-22T22:04:54Z","abstract_excerpt":"In this work, we study the problem of testing conditional independence between random variables $X$ and $Y$ given a confounder $Z$. The local permutation test (LPT) offers a principled approach to this problem by partitioning the $Z$-space into pre-specified bins, and permuting the $X$ and $Y$ data within each bin, to assess the significance of an observed test statistic. However, when the partitions are pre-fixed, the resulting partition can be poorly balanced, as some bins may contain most of the samples while others contain only a few. This motivates the use of data-adaptive binning strateg"},"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":"2607.20751","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-07-22T22:04:54Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"9324081c0f06edcb1ceea020f2481ae8a1ccd8911021cd66a5b9ba1f8c4a89de","abstract_canon_sha256":"073e36f6717b48689cc2213b42ddfce52872ae844ab8d0e671f3adfbd7e335fc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-24T00:23:32.635712Z","signature_b64":"Jwc7Zf4473gj08Fv/RnUc6DhE4Nh50Ts0PTJZz0JOB857rmZNdgqMPQM4Emc53VN4LvXJkukJXE6UV6+PfYhDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff475f0e2397cfe079030bb1b3567d27b13edf391603eeb2efc282e40dedfac1","last_reissued_at":"2026-07-24T00:23:32.634864Z","signature_status":"signed_v1","first_computed_at":"2026-07-24T00:23:32.634864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local permutation tests for conditional independence: an adaptive binning perspective","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"David Chen, Rina Foygel Barber, Rohan Hore","submitted_at":"2026-07-22T22:04:54Z","abstract_excerpt":"In this work, we study the problem of testing conditional independence between random variables $X$ and $Y$ given a confounder $Z$. The local permutation test (LPT) offers a principled approach to this problem by partitioning the $Z$-space into pre-specified bins, and permuting the $X$ and $Y$ data within each bin, to assess the significance of an observed test statistic. However, when the partitions are pre-fixed, the resulting partition can be poorly balanced, as some bins may contain most of the samples while others contain only a few. This motivates the use of data-adaptive binning strateg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.20751","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.20751/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2607.20751","created_at":"2026-07-24T00:23:32.635292+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.20751v1","created_at":"2026-07-24T00:23:32.635292+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.20751","created_at":"2026-07-24T00:23:32.635292+00:00"},{"alias_kind":"pith_short_12","alias_value":"75DV6DRDS7H6","created_at":"2026-07-24T00:23:32.635292+00:00"},{"alias_kind":"pith_short_16","alias_value":"75DV6DRDS7H6A6ID","created_at":"2026-07-24T00:23:32.635292+00:00"},{"alias_kind":"pith_short_8","alias_value":"75DV6DRD","created_at":"2026-07-24T00:23:32.635292+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/75DV6DRDS7H6A6IDBOY3GVT5E6","json":"https://pith.science/pith/75DV6DRDS7H6A6IDBOY3GVT5E6.json","graph_json":"https://pith.science/api/pith-number/75DV6DRDS7H6A6IDBOY3GVT5E6/graph.json","events_json":"https://pith.science/api/pith-number/75DV6DRDS7H6A6IDBOY3GVT5E6/events.json","paper":"https://pith.science/paper/75DV6DRD"},"agent_actions":{"view_html":"https://pith.science/pith/75DV6DRDS7H6A6IDBOY3GVT5E6","download_json":"https://pith.science/pith/75DV6DRDS7H6A6IDBOY3GVT5E6.json","view_paper":"https://pith.science/paper/75DV6DRD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.20751&json=true","fetch_graph":"https://pith.science/api/pith-number/75DV6DRDS7H6A6IDBOY3GVT5E6/graph.json","fetch_events":"https://pith.science/api/pith-number/75DV6DRDS7H6A6IDBOY3GVT5E6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/75DV6DRDS7H6A6IDBOY3GVT5E6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/75DV6DRDS7H6A6IDBOY3GVT5E6/action/storage_attestation","attest_author":"https://pith.science/pith/75DV6DRDS7H6A6IDBOY3GVT5E6/action/author_attestation","sign_citation":"https://pith.science/pith/75DV6DRDS7H6A6IDBOY3GVT5E6/action/citation_signature","submit_replication":"https://pith.science/pith/75DV6DRDS7H6A6IDBOY3GVT5E6/action/replication_record"}},"created_at":"2026-07-24T00:23:32.635292+00:00","updated_at":"2026-07-24T00:23:32.635292+00:00"}