{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:EBOI5WXMRH2EVTVL7W6KO2WABF","short_pith_number":"pith:EBOI5WXM","canonical_record":{"source":{"id":"1205.1892","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-05-09T07:43:22Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"7144564e57a310be8793cf675ad30f549c262323e53e36cae8250fc412da1c2d","abstract_canon_sha256":"bc48332072f9dad8aff0b0c9a285584e1fcbe4a3e8b44d16488e62b6c8269b04"},"schema_version":"1.0"},"canonical_sha256":"205c8edaec89f44aceabfdbca76ac009629a82a1990ebe2ac9840f4ea29917cb","source":{"kind":"arxiv","id":"1205.1892","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.1892","created_at":"2026-05-18T03:55:58Z"},{"alias_kind":"arxiv_version","alias_value":"1205.1892v1","created_at":"2026-05-18T03:55:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1892","created_at":"2026-05-18T03:55:58Z"},{"alias_kind":"pith_short_12","alias_value":"EBOI5WXMRH2E","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EBOI5WXMRH2EVTVL","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EBOI5WXM","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:EBOI5WXMRH2EVTVL7W6KO2WABF","target":"record","payload":{"canonical_record":{"source":{"id":"1205.1892","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-05-09T07:43:22Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"7144564e57a310be8793cf675ad30f549c262323e53e36cae8250fc412da1c2d","abstract_canon_sha256":"bc48332072f9dad8aff0b0c9a285584e1fcbe4a3e8b44d16488e62b6c8269b04"},"schema_version":"1.0"},"canonical_sha256":"205c8edaec89f44aceabfdbca76ac009629a82a1990ebe2ac9840f4ea29917cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:58.349764Z","signature_b64":"4S/qY+8ACjHgiVjyYj54xQ22yyUiiz4vLLDQ5kfC7HmdJnQYv//znCpMYEaJrazr/LSltmaZxwjrN9N0MwTyAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"205c8edaec89f44aceabfdbca76ac009629a82a1990ebe2ac9840f4ea29917cb","last_reissued_at":"2026-05-18T03:55:58.349202Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:58.349202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.1892","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:55:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0DGMbIs/d5QBghRxi1RVvPPP2U+9msD9nVz3uWLjxo8tWH4gRCFk4XeNNzx10DY2r/KjRCRx/4KfI1OH28IzAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:34:22.792112Z"},"content_sha256":"582d9632d12845444b55753b649282104053a2967301d81366f5a0e3e7f826c0","schema_version":"1.0","event_id":"sha256:582d9632d12845444b55753b649282104053a2967301d81366f5a0e3e7f826c0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:EBOI5WXMRH2EVTVL7W6KO2WABF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Degenerate U- and V-statistics under weak dependence: Asymptotic theory and bootstrap consistency","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Anne Leucht","submitted_at":"2012-05-09T07:43:22Z","abstract_excerpt":"We devise a general result on the consistency of model-based bootstrap methods for U- and V-statistics under easily verifiable conditions. For that purpose, we derive the limit distributions of degree-2 degenerate U- and V-statistics for weakly dependent $\\mathbb{R}^d$-valued random variables first. To this end, only some moment conditions and smoothness assumptions concerning the kernel are required. Based on this result, we verify that the bootstrap counterparts of these statistics have the same limit distributions. Finally, some applications to hypothesis testing are presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1892","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:55:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xuPZykIO1V/pFB50OI4vFpCd62qc6mogrIxSmsmo3nYRxzcdgVu+nkH4lYj7rQaIIC14c3XmS2zMF7M0fdV9Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T18:34:22.792775Z"},"content_sha256":"3071103d0456c810a00a54a727ee694ccf355fa60026b0355cfd3f9ff69f9c49","schema_version":"1.0","event_id":"sha256:3071103d0456c810a00a54a727ee694ccf355fa60026b0355cfd3f9ff69f9c49"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EBOI5WXMRH2EVTVL7W6KO2WABF/bundle.json","state_url":"https://pith.science/pith/EBOI5WXMRH2EVTVL7W6KO2WABF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EBOI5WXMRH2EVTVL7W6KO2WABF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T18:34:22Z","links":{"resolver":"https://pith.science/pith/EBOI5WXMRH2EVTVL7W6KO2WABF","bundle":"https://pith.science/pith/EBOI5WXMRH2EVTVL7W6KO2WABF/bundle.json","state":"https://pith.science/pith/EBOI5WXMRH2EVTVL7W6KO2WABF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EBOI5WXMRH2EVTVL7W6KO2WABF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:EBOI5WXMRH2EVTVL7W6KO2WABF","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":"bc48332072f9dad8aff0b0c9a285584e1fcbe4a3e8b44d16488e62b6c8269b04","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-05-09T07:43:22Z","title_canon_sha256":"7144564e57a310be8793cf675ad30f549c262323e53e36cae8250fc412da1c2d"},"schema_version":"1.0","source":{"id":"1205.1892","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.1892","created_at":"2026-05-18T03:55:58Z"},{"alias_kind":"arxiv_version","alias_value":"1205.1892v1","created_at":"2026-05-18T03:55:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1892","created_at":"2026-05-18T03:55:58Z"},{"alias_kind":"pith_short_12","alias_value":"EBOI5WXMRH2E","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EBOI5WXMRH2EVTVL","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EBOI5WXM","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:3071103d0456c810a00a54a727ee694ccf355fa60026b0355cfd3f9ff69f9c49","target":"graph","created_at":"2026-05-18T03:55:58Z","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 devise a general result on the consistency of model-based bootstrap methods for U- and V-statistics under easily verifiable conditions. For that purpose, we derive the limit distributions of degree-2 degenerate U- and V-statistics for weakly dependent $\\mathbb{R}^d$-valued random variables first. To this end, only some moment conditions and smoothness assumptions concerning the kernel are required. Based on this result, we verify that the bootstrap counterparts of these statistics have the same limit distributions. Finally, some applications to hypothesis testing are presented.","authors_text":"Anne Leucht","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-05-09T07:43:22Z","title":"Degenerate U- and V-statistics under weak dependence: Asymptotic theory and bootstrap consistency"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1892","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":"sha256:582d9632d12845444b55753b649282104053a2967301d81366f5a0e3e7f826c0","target":"record","created_at":"2026-05-18T03:55:58Z","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":"bc48332072f9dad8aff0b0c9a285584e1fcbe4a3e8b44d16488e62b6c8269b04","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-05-09T07:43:22Z","title_canon_sha256":"7144564e57a310be8793cf675ad30f549c262323e53e36cae8250fc412da1c2d"},"schema_version":"1.0","source":{"id":"1205.1892","kind":"arxiv","version":1}},"canonical_sha256":"205c8edaec89f44aceabfdbca76ac009629a82a1990ebe2ac9840f4ea29917cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"205c8edaec89f44aceabfdbca76ac009629a82a1990ebe2ac9840f4ea29917cb","first_computed_at":"2026-05-18T03:55:58.349202Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:58.349202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4S/qY+8ACjHgiVjyYj54xQ22yyUiiz4vLLDQ5kfC7HmdJnQYv//znCpMYEaJrazr/LSltmaZxwjrN9N0MwTyAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:58.349764Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.1892","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:582d9632d12845444b55753b649282104053a2967301d81366f5a0e3e7f826c0","sha256:3071103d0456c810a00a54a727ee694ccf355fa60026b0355cfd3f9ff69f9c49"],"state_sha256":"7f86fe41415d324af44688caa2e10f3ad9c49f0c3b32265f9f088a84adfbb5c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ajVW1yw+QnsPZpsqQ5CPLfaq4QNInYGR3blUxDxbXWtr4VxdtNcqhLAkstMc298KYEY2sl0gNFiU2+IyEsVqBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T18:34:22.796591Z","bundle_sha256":"1671c8b082561aa623993160de5879d1035a28bb5b7248912335409629641797"}}