{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:E3FLIQ26XYNKIKGGG5P6SA3GK6","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":"ae426d3a7e979477ad3479b6097c9c30cba5ccfc3fc5b726a069940508e5c117","cross_cats_sorted":["stat.ME","stat.ML","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2022-11-03T17:55:50Z","title_canon_sha256":"09de6c0e003dbeee16409d2b3ebcaceace5e426bbb1accf3f56d782ddbdcf23b"},"schema_version":"1.0","source":{"id":"2211.02039","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.02039","created_at":"2026-07-05T08:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"2211.02039v4","created_at":"2026-07-05T08:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.02039","created_at":"2026-07-05T08:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"E3FLIQ26XYNK","created_at":"2026-07-05T08:16:19Z"},{"alias_kind":"pith_short_16","alias_value":"E3FLIQ26XYNKIKGG","created_at":"2026-07-05T08:16:19Z"},{"alias_kind":"pith_short_8","alias_value":"E3FLIQ26","created_at":"2026-07-05T08:16:19Z"}],"graph_snapshots":[{"event_id":"sha256:db7e34940ddddd47d7ce1aca77352c9a583b3e420a00c1cbdaaed0b706bc571b","target":"graph","created_at":"2026-07-05T08:16:19Z","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/2211.02039/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Testing the significance of a variable or group of variables $X$ for predicting a response $Y$, given additional covariates $Z$, is a ubiquitous task in statistics. A simple but common approach is to specify a linear model, and then test whether the regression coefficient for $X$ is non-zero. However, when the model is misspecified, the test may have poor power, for example when $X$ is involved in complex interactions, or lead to many false rejections. In this work we study the problem of testing the model-free null of conditional mean independence, i.e. that the conditional mean of $Y$ given ","authors_text":"Anton Rask Lundborg, Ilmun Kim, Rajen D. Shah, Richard J. Samworth","cross_cats":["stat.ME","stat.ML","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2022-11-03T17:55:50Z","title":"The Projected Covariance Measure for assumption-lean variable significance testing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.02039","kind":"arxiv","version":4},"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":"sha256:1e98476db8392f429fee1dc1ce52b5f10548294301e3c0e5f3e0fd1d59db5370","target":"record","created_at":"2026-07-05T08:16:19Z","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":"ae426d3a7e979477ad3479b6097c9c30cba5ccfc3fc5b726a069940508e5c117","cross_cats_sorted":["stat.ME","stat.ML","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2022-11-03T17:55:50Z","title_canon_sha256":"09de6c0e003dbeee16409d2b3ebcaceace5e426bbb1accf3f56d782ddbdcf23b"},"schema_version":"1.0","source":{"id":"2211.02039","kind":"arxiv","version":4}},"canonical_sha256":"26cab4435ebe1aa428c6375fe903665784e872f3277950d7130c7b024d69f43c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26cab4435ebe1aa428c6375fe903665784e872f3277950d7130c7b024d69f43c","first_computed_at":"2026-07-05T08:16:19.373629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:16:19.373629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1ir2Y+evKastORdD8hdIlVin/H15WNZcuYQriV+hilGnNyA+igXf22cyw0UeLWLJeMGp/OZ2E2MSgzhxWhfBBA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:16:19.374087Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.02039","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e98476db8392f429fee1dc1ce52b5f10548294301e3c0e5f3e0fd1d59db5370","sha256:db7e34940ddddd47d7ce1aca77352c9a583b3e420a00c1cbdaaed0b706bc571b"],"state_sha256":"aba6598604a8ebdb4b7245270bf295b8f53c1698beabc7541896f2adcd51c106"}