{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:Y4ASRIZJFTSYGXUBZNANOTSRCL","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":"8fdbe70d8150d45b8768cfa9bc4f557349f9d3b9c70c2ac7832390b86defdb77","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2018-09-30T01:26:19Z","title_canon_sha256":"407bd158d971edfefdbf3ebdbb739c261547ea014fe03e4ef29bcf50776a5cfc"},"schema_version":"1.0","source":{"id":"1810.00289","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00289","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00289v1","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00289","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"pith_short_12","alias_value":"Y4ASRIZJFTSY","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"Y4ASRIZJFTSYGXUB","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"Y4ASRIZJ","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:a74a3ae9ebd5c4099ac66bfdaa178d3b607fd3a078066170c275af5286c3754a","target":"graph","created_at":"2026-05-18T00:04:28Z","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"},"paper":{"abstract_excerpt":"We designed a completely automated Maple ($\\geqslant 15$) worksheet for deriving Edgeworth and Cornish-Fisher expansions as well as the acceleration constant of the bootstrap bias-corrected and accelerated technique. It is valid for non-parametric or parametric bootstrap, of any (studentized) statistics that is -a regular enough- function of the mean of an iid sample of an absolutely continuous distribution.\n  This worksheet allowed us to point out one error in the second-order Cornish-Fisher expansion of the studentized mean stated in Theorem 13.5 by Das Gupta in [8, p. 194] as well as lay th","authors_text":"F. Bertrand, M. Maumy-Bertrand","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2018-09-30T01:26:19Z","title":"A Sheet of Maple to Compute Second-Order Edgeworth Expansions and Related Quantities of any Function of the Mean of an iid Sample of an Absolutely Continuous Distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00289","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:bab6ba6538f6fc8d049efdd96059e9c47011cb7255279255c2625e5ab9ea64d4","target":"record","created_at":"2026-05-18T00:04:28Z","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":"8fdbe70d8150d45b8768cfa9bc4f557349f9d3b9c70c2ac7832390b86defdb77","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2018-09-30T01:26:19Z","title_canon_sha256":"407bd158d971edfefdbf3ebdbb739c261547ea014fe03e4ef29bcf50776a5cfc"},"schema_version":"1.0","source":{"id":"1810.00289","kind":"arxiv","version":1}},"canonical_sha256":"c70128a3292ce5835e81cb40d74e5112ef9a5b0acb39e24c7e1c91c4434b0003","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c70128a3292ce5835e81cb40d74e5112ef9a5b0acb39e24c7e1c91c4434b0003","first_computed_at":"2026-05-18T00:04:28.253729Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:28.253729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9/srZeJl9nCg2fK0oKjKdiMV6iIK6fE9KOuPS7DgXcjQe3h+Z04lJdaxv+0thYbjV4HtY8xBdDhAXDMIS7UFDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:28.254367Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.00289","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bab6ba6538f6fc8d049efdd96059e9c47011cb7255279255c2625e5ab9ea64d4","sha256:a74a3ae9ebd5c4099ac66bfdaa178d3b607fd3a078066170c275af5286c3754a"],"state_sha256":"b8a10aa969b8bfc6cdc5c2e185634cffb0e2daa91347e4211606979bc8460a34"}