{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:MR2DP6HR4V42HZE2JVHUCQ5V4H","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":"7f7bb640360f35b2a78ab60d05a9915204897afbac65372868adc8a82cbabce8","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-10-21T11:04:15Z","title_canon_sha256":"5aee8fa22133057b97a4c082f87efff36dd1e3462e6b87e3bcbe85092e5d1282"},"schema_version":"1.0","source":{"id":"1510.06207","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.06207","created_at":"2026-05-18T01:15:38Z"},{"alias_kind":"arxiv_version","alias_value":"1510.06207v3","created_at":"2026-05-18T01:15:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.06207","created_at":"2026-05-18T01:15:38Z"},{"alias_kind":"pith_short_12","alias_value":"MR2DP6HR4V42","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"MR2DP6HR4V42HZE2","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"MR2DP6HR","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:f136c769316fc1d5f5be56c89da335148ac5201c92ad1569b66e3505d39a4159","target":"graph","created_at":"2026-05-18T01:15:38Z","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":"The functional delta-method provides a convenient tool for deriving the asymptotic distribution of a plug-in estimator of a statistical functional from the asymptotic distribution of the respective empirical process. Moreover, it provides a tool to derive bootstrap consistency for plug-in estimators from bootstrap consistency of empirical processes. It has recently been shown that the range of applications of the functional delta-method for the asymptotic distribution can be considerably enlarged by employing the notion of quasi-Hadamard differentiability. Here we show in a general setting tha","authors_text":"Eric Beutner, Henryk Z\\\"ahle","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-10-21T11:04:15Z","title":"Functional delta-method for the bootstrap of quasi-Hadamard differentiable functionals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06207","kind":"arxiv","version":3},"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":"sha256:5fce25e4173a4e1747c56d07fc9b7423e58533748ee7de8f1583436ba4a3c642","target":"record","created_at":"2026-05-18T01:15:38Z","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":"7f7bb640360f35b2a78ab60d05a9915204897afbac65372868adc8a82cbabce8","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-10-21T11:04:15Z","title_canon_sha256":"5aee8fa22133057b97a4c082f87efff36dd1e3462e6b87e3bcbe85092e5d1282"},"schema_version":"1.0","source":{"id":"1510.06207","kind":"arxiv","version":3}},"canonical_sha256":"647437f8f1e579a3e49a4d4f4143b5e1d636209143c585237f742f6110228daa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"647437f8f1e579a3e49a4d4f4143b5e1d636209143c585237f742f6110228daa","first_computed_at":"2026-05-18T01:15:38.536143Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:38.536143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HGIDT8tgGc5xEkx7l2eWgqYltzUokdD6BJwZIVzPjfLhUmVFEOIW4wM3aOtcTCf+o9yOiAa/jTWdAZz3u9ZnCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:38.536809Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.06207","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5fce25e4173a4e1747c56d07fc9b7423e58533748ee7de8f1583436ba4a3c642","sha256:f136c769316fc1d5f5be56c89da335148ac5201c92ad1569b66e3505d39a4159"],"state_sha256":"0c749329465a2dc8dbefe9cd2fb57eb85d231ecc90f168acb9cec4454195a95b"}