{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:DCS43JBHX2YO5ZTHA7TPBT3JZF","short_pith_number":"pith:DCS43JBH","canonical_record":{"source":{"id":"1101.1032","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-01-05T17:17:36Z","cross_cats_sorted":["stat.ME","stat.TH"],"title_canon_sha256":"c1371e21306cd94757419bf9046bfa0160ae34269f435dc7d109803df52ab01f","abstract_canon_sha256":"b083d415f3334a0291cd0bd54f3f0aaeb2959082bd5a8a0d6269c5790040c037"},"schema_version":"1.0"},"canonical_sha256":"18a5cda427beb0eee66707e6f0cf69c94675b91611f0fb2aff7c2d142a178a10","source":{"kind":"arxiv","id":"1101.1032","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1032","created_at":"2026-05-18T04:32:01Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1032v1","created_at":"2026-05-18T04:32:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1032","created_at":"2026-05-18T04:32:01Z"},{"alias_kind":"pith_short_12","alias_value":"DCS43JBHX2YO","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DCS43JBHX2YO5ZTH","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DCS43JBH","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:DCS43JBHX2YO5ZTHA7TPBT3JZF","target":"record","payload":{"canonical_record":{"source":{"id":"1101.1032","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-01-05T17:17:36Z","cross_cats_sorted":["stat.ME","stat.TH"],"title_canon_sha256":"c1371e21306cd94757419bf9046bfa0160ae34269f435dc7d109803df52ab01f","abstract_canon_sha256":"b083d415f3334a0291cd0bd54f3f0aaeb2959082bd5a8a0d6269c5790040c037"},"schema_version":"1.0"},"canonical_sha256":"18a5cda427beb0eee66707e6f0cf69c94675b91611f0fb2aff7c2d142a178a10","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:01.011336Z","signature_b64":"zXI7c94R6bMhY6hHglAqyJqtmdPu9WYrvMoDcbsQlIhwpzAQGAsHmCkH+BMBuOpY8k4jWMtwgykadsnz3bZfCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"18a5cda427beb0eee66707e6f0cf69c94675b91611f0fb2aff7c2d142a178a10","last_reissued_at":"2026-05-18T04:32:01.010819Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:01.010819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.1032","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":"2026-05-18T04:32:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4j0AXIwco7Q90lh/qlVuavt5HipKxCXm4vAluRmB78rzZHGHyqv772EhauG1WE6EInbO0v6Dm4u8XU8ghZRCCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T23:18:52.150306Z"},"content_sha256":"3e63ccf6b936a36c016c5bdf237327a5da7b234953c19d8563e7b4506ee96002","schema_version":"1.0","event_id":"sha256:3e63ccf6b936a36c016c5bdf237327a5da7b234953c19d8563e7b4506ee96002"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:DCS43JBHX2YO5ZTHA7TPBT3JZF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Change-point in stochastic design regression and the bootstrap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"Bodhisattva Sen, Emilio Seijo","submitted_at":"2011-01-05T17:17:36Z","abstract_excerpt":"In this paper we study the consistency of different bootstrap procedures for constructing confidence intervals (CIs) for the unique jump discontinuity (change-point) in an otherwise smooth regression function in a stochastic design setting. This problem exhibits nonstandard asymptotics and we argue that the standard bootstrap procedures in regression fail to provide valid confidence intervals for the change-point. We propose a version of smoothed bootstrap, illustrate its remarkable finite sample performance in our simulation study, and prove the consistency of the procedure. The $m$ out of $n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1032","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":"2026-05-18T04:32:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PPIT0b291+8BRlrilbSt10XUanEKw+F3koZJPra9xytntmGM6GzP/ia/tHekmrUGIOT+dRvXe4vJfvCUsOC4AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T23:18:52.150674Z"},"content_sha256":"bd568679f91a66a39cf8ff1cf767c8e4bee72a2f14d2160e1a579055efc0b6a1","schema_version":"1.0","event_id":"sha256:bd568679f91a66a39cf8ff1cf767c8e4bee72a2f14d2160e1a579055efc0b6a1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DCS43JBHX2YO5ZTHA7TPBT3JZF/bundle.json","state_url":"https://pith.science/pith/DCS43JBHX2YO5ZTHA7TPBT3JZF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DCS43JBHX2YO5ZTHA7TPBT3JZF/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":"2026-05-29T23:18:52Z","links":{"resolver":"https://pith.science/pith/DCS43JBHX2YO5ZTHA7TPBT3JZF","bundle":"https://pith.science/pith/DCS43JBHX2YO5ZTHA7TPBT3JZF/bundle.json","state":"https://pith.science/pith/DCS43JBHX2YO5ZTHA7TPBT3JZF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DCS43JBHX2YO5ZTHA7TPBT3JZF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:DCS43JBHX2YO5ZTHA7TPBT3JZF","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":"b083d415f3334a0291cd0bd54f3f0aaeb2959082bd5a8a0d6269c5790040c037","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-01-05T17:17:36Z","title_canon_sha256":"c1371e21306cd94757419bf9046bfa0160ae34269f435dc7d109803df52ab01f"},"schema_version":"1.0","source":{"id":"1101.1032","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1032","created_at":"2026-05-18T04:32:01Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1032v1","created_at":"2026-05-18T04:32:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1032","created_at":"2026-05-18T04:32:01Z"},{"alias_kind":"pith_short_12","alias_value":"DCS43JBHX2YO","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DCS43JBHX2YO5ZTH","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DCS43JBH","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:bd568679f91a66a39cf8ff1cf767c8e4bee72a2f14d2160e1a579055efc0b6a1","target":"graph","created_at":"2026-05-18T04:32:01Z","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":"In this paper we study the consistency of different bootstrap procedures for constructing confidence intervals (CIs) for the unique jump discontinuity (change-point) in an otherwise smooth regression function in a stochastic design setting. This problem exhibits nonstandard asymptotics and we argue that the standard bootstrap procedures in regression fail to provide valid confidence intervals for the change-point. We propose a version of smoothed bootstrap, illustrate its remarkable finite sample performance in our simulation study, and prove the consistency of the procedure. The $m$ out of $n","authors_text":"Bodhisattva Sen, Emilio Seijo","cross_cats":["stat.ME","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-01-05T17:17:36Z","title":"Change-point in stochastic design regression and the bootstrap"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1032","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":"sha256:3e63ccf6b936a36c016c5bdf237327a5da7b234953c19d8563e7b4506ee96002","target":"record","created_at":"2026-05-18T04:32:01Z","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":"b083d415f3334a0291cd0bd54f3f0aaeb2959082bd5a8a0d6269c5790040c037","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-01-05T17:17:36Z","title_canon_sha256":"c1371e21306cd94757419bf9046bfa0160ae34269f435dc7d109803df52ab01f"},"schema_version":"1.0","source":{"id":"1101.1032","kind":"arxiv","version":1}},"canonical_sha256":"18a5cda427beb0eee66707e6f0cf69c94675b91611f0fb2aff7c2d142a178a10","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18a5cda427beb0eee66707e6f0cf69c94675b91611f0fb2aff7c2d142a178a10","first_computed_at":"2026-05-18T04:32:01.010819Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:01.010819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zXI7c94R6bMhY6hHglAqyJqtmdPu9WYrvMoDcbsQlIhwpzAQGAsHmCkH+BMBuOpY8k4jWMtwgykadsnz3bZfCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:01.011336Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.1032","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e63ccf6b936a36c016c5bdf237327a5da7b234953c19d8563e7b4506ee96002","sha256:bd568679f91a66a39cf8ff1cf767c8e4bee72a2f14d2160e1a579055efc0b6a1"],"state_sha256":"37d63a582028753dadcd20faeb8b7aed361f97a22a64d6e485cedd3b2a424330"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"py9dJ1J0wV6IhI6UM/G8tQ6LzM+QCuFmuGx/KFhhPeRvCOCg1T2/LWl0Yxe4PTUeW8VyAZ/4utJsXtiEh/MmDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T23:18:52.153108Z","bundle_sha256":"eca94f89b26d8db5cdf25a5f7b4528b2671ac38a9360263be07889715fcca32a"}}