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This condition ensures that the approximation error is asymptotically negligible relative to the stochastic variation of the empirical process.","weakest_assumption":"The approximation error from discretizing the domain onto L_n^d grid points is asymptotically negligible relative to the stochastic variation of the empirical process; this relies on the target function being twice continuously differentiable and belonging to a Donsker class."}},"verdict_id":"5d770a41-a45e-4c5f-a21a-a2f829c18a5a"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2530a4fb4fa38f63e4e63abf3434f311d766898fc75714c1f425ba8660e5c3b6","target":"record","created_at":"2026-06-08T01:04:07Z","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":"d19ca6d14f6c44c4e6f7cf9cdd057f3cd66cf30c206b35716b6505cd34e519f6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"econ.EM","submitted_at":"2026-05-12T15:42:02Z","title_canon_sha256":"4a06c9e3746b02702516f6e1771d8cbf60569b6ab37130a807f10be34c161ad7"},"schema_version":"1.0","source":{"id":"2605.12284","kind":"arxiv","version":2}},"canonical_sha256":"6258693553857c8ac38d718b454af14d035410128257706f2b9b5dd9cba75b0b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6258693553857c8ac38d718b454af14d035410128257706f2b9b5dd9cba75b0b","first_computed_at":"2026-06-08T01:04:07.338926Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-08T01:04:07.338926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0EmIXgEAY2+9OPodUl6fuOzuenELTn9SrSW99HPZCybo/pto44Nv+duGPtGWUoSShJYiq1Kln3g2fx4uyQXAAA==","signature_status":"signed_v1","signed_at":"2026-06-08T01:04:07.339678Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.12284","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e3b601ec62ade29e829a3c0d290efffbe40b9aca6bee21510887fd33e396dd5","sha256:2530a4fb4fa38f63e4e63abf3434f311d766898fc75714c1f425ba8660e5c3b6","sha256:ee097dd061cce50091ef362afb304f711df24f9e5c9ad1289ce344d63a512475"],"state_sha256":"1c0e8c51d44498ea0211c831e6e0e9eacaa98680b06ea4b532ecff92022afb3e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ANPppoVypqxfac/XQaei0rkweNfzal6sjoYnOo/maJhjLfu0zJJodbUzDeftfV9BSaSDYz24oE8FYAFyYKHsAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T19:06:03.206100Z","bundle_sha256":"ed7079ef218013225595ed16048c815b155675eeba527af6eef13daef6f772cc"}}