{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:3LMI2TAZ7B7RAEOUKCET3M6BAI","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":"b0d1264f8bc51e53e3a7d4742bafedda7426377715bf2b3d1cd0b26fa066d4a0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-03T07:02:18Z","title_canon_sha256":"98ef25684d1d2629dc335a7e345b1e88296f2395d042b001c4d149fdec1d8d2a"},"schema_version":"1.0","source":{"id":"2606.04523","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.04523","created_at":"2026-06-04T01:09:15Z"},{"alias_kind":"arxiv_version","alias_value":"2606.04523v1","created_at":"2026-06-04T01:09:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.04523","created_at":"2026-06-04T01:09:15Z"},{"alias_kind":"pith_short_12","alias_value":"3LMI2TAZ7B7R","created_at":"2026-06-04T01:09:15Z"},{"alias_kind":"pith_short_16","alias_value":"3LMI2TAZ7B7RAEOU","created_at":"2026-06-04T01:09:15Z"},{"alias_kind":"pith_short_8","alias_value":"3LMI2TAZ","created_at":"2026-06-04T01:09:15Z"}],"graph_snapshots":[{"event_id":"sha256:f3b2f76329412c6cf6aac71695581aea442e74f85903fd8870b87f0f3a68c267","target":"graph","created_at":"2026-06-04T01:09:15Z","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/2606.04523/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In one extension of scalar-on-function regression modeling, the covariate is taken to be a density that is estimated from a finite number of measurements gathered for each observational unit. When this number of measurements is relatively small, the estimated coefficient function suffers from attenuation bias. This paper studies how the bias depends on the number of measurements per unit and proposes a bias-correction method based on simulation extrapolation (SIMEX). We establish that the bias decreases monotonically as the number of measurements per unit increases. The proposed SIMEX procedur","authors_text":"Fenglin Xie, Todd Ogden","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-03T07:02:18Z","title":"Bias Correction for Scalar-on-Density Regression Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.04523","kind":"arxiv","version":1},"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":"sha256:760ba7bfdbbb8ee44b20977f7656ab6cc83c3661a3e5c3321174c08b94029d1d","target":"record","created_at":"2026-06-04T01:09:15Z","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":"b0d1264f8bc51e53e3a7d4742bafedda7426377715bf2b3d1cd0b26fa066d4a0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-03T07:02:18Z","title_canon_sha256":"98ef25684d1d2629dc335a7e345b1e88296f2395d042b001c4d149fdec1d8d2a"},"schema_version":"1.0","source":{"id":"2606.04523","kind":"arxiv","version":1}},"canonical_sha256":"dad88d4c19f87f1011d450893db3c1020dbd378aaabf8ac503be635752afdf8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dad88d4c19f87f1011d450893db3c1020dbd378aaabf8ac503be635752afdf8d","first_computed_at":"2026-06-04T01:09:15.912140Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T01:09:15.912140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/qeegx2YC+VtZRb3fuJkTPBzGLN/fFa9ArHmoEsANQisM/lm/lcqkHoypBp0OUpQaRc57aaq0wveGshPYaVXBg==","signature_status":"signed_v1","signed_at":"2026-06-04T01:09:15.913029Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.04523","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:760ba7bfdbbb8ee44b20977f7656ab6cc83c3661a3e5c3321174c08b94029d1d","sha256:f3b2f76329412c6cf6aac71695581aea442e74f85903fd8870b87f0f3a68c267"],"state_sha256":"af410767213c4a9085a9301e6323bac2e7a8f8017e783c90da5def9ff2a097fd"}