{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:THVNXLED64ZZY6JY6QUJL3TAUC","short_pith_number":"pith:THVNXLED","canonical_record":{"source":{"id":"1403.3275","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-13T14:19:21Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"b4d5c03ebb61cc15d9f8201e3c618708416b22069d702d23e488a5b1bba27b36","abstract_canon_sha256":"c7758d658b4ffd7132e8e4b3c769d23dfd2d6f0862d5883265d82b2f40fdc04d"},"schema_version":"1.0"},"canonical_sha256":"99eadbac83f7339c7938f42895ee60a0895a1a711b9d99f90978710b05bc387b","source":{"kind":"arxiv","id":"1403.3275","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.3275","created_at":"2026-05-18T02:56:21Z"},{"alias_kind":"arxiv_version","alias_value":"1403.3275v1","created_at":"2026-05-18T02:56:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3275","created_at":"2026-05-18T02:56:21Z"},{"alias_kind":"pith_short_12","alias_value":"THVNXLED64ZZ","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"THVNXLED64ZZY6JY","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"THVNXLED","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:THVNXLED64ZZY6JY6QUJL3TAUC","target":"record","payload":{"canonical_record":{"source":{"id":"1403.3275","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-13T14:19:21Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"b4d5c03ebb61cc15d9f8201e3c618708416b22069d702d23e488a5b1bba27b36","abstract_canon_sha256":"c7758d658b4ffd7132e8e4b3c769d23dfd2d6f0862d5883265d82b2f40fdc04d"},"schema_version":"1.0"},"canonical_sha256":"99eadbac83f7339c7938f42895ee60a0895a1a711b9d99f90978710b05bc387b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:21.963265Z","signature_b64":"ibFefxaWY8xEnQwmiL89GbiDyfixHV/Xs3qaf8FKhEMlqNIJyXOIeZFeWaaWU/79avcCFYR/V7BMpOOGhaEdBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99eadbac83f7339c7938f42895ee60a0895a1a711b9d99f90978710b05bc387b","last_reissued_at":"2026-05-18T02:56:21.962724Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:21.962724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.3275","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":"2026-05-18T02:56:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b4CVRN43kFUvI/mgAT5a8WDixD+4UmklawQ5iDQAvls/hqoxRQAATCTevR9wPamh0DAXw7/PgN7nhxnu20ZcBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T00:04:16.410059Z"},"content_sha256":"0982c7f7c901fd11616071645b378b9834ee089b7930532ad63e0186e38a5efd","schema_version":"1.0","event_id":"sha256:0982c7f7c901fd11616071645b378b9834ee089b7930532ad63e0186e38a5efd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:THVNXLED64ZZY6JY6QUJL3TAUC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convergence rates of empirical block length selectors for block bootstrap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Daniel J. Nordman, Soumendra N. Lahiri","submitted_at":"2014-03-13T14:19:21Z","abstract_excerpt":"We investigate the accuracy of two general non-parametric methods for estimating optimal block lengths for block bootstraps with time series - the first proposed in the seminal paper of Hall, Horowitz and Jing (Biometrika 82 (1995) 561-574) and the second from Lahiri et al. (Stat. Methodol. 4 (2007) 292-321). The relative performances of these general methods have been unknown and, to provide a comparison, we focus on rates of convergence for these block length selectors for the moving block bootstrap (MBB) with variance estimation problems under the smooth function model. It is shown that, wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3275","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":"2026-05-18T02:56:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3cRnxRBGaf58aokE+tC6yGS+Zd5m1wE9OVJoite68QBHe6Uub7du/h9hE7bsPGMvjc6WJuKqBjggLaf8i047BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T00:04:16.410586Z"},"content_sha256":"35b55897f242dbd052ae00cda56bb3aecf5d426febec39618a684f0757e29656","schema_version":"1.0","event_id":"sha256:35b55897f242dbd052ae00cda56bb3aecf5d426febec39618a684f0757e29656"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/THVNXLED64ZZY6JY6QUJL3TAUC/bundle.json","state_url":"https://pith.science/pith/THVNXLED64ZZY6JY6QUJL3TAUC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/THVNXLED64ZZY6JY6QUJL3TAUC/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":"2026-05-23T00:04:16Z","links":{"resolver":"https://pith.science/pith/THVNXLED64ZZY6JY6QUJL3TAUC","bundle":"https://pith.science/pith/THVNXLED64ZZY6JY6QUJL3TAUC/bundle.json","state":"https://pith.science/pith/THVNXLED64ZZY6JY6QUJL3TAUC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/THVNXLED64ZZY6JY6QUJL3TAUC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:THVNXLED64ZZY6JY6QUJL3TAUC","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":"c7758d658b4ffd7132e8e4b3c769d23dfd2d6f0862d5883265d82b2f40fdc04d","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-13T14:19:21Z","title_canon_sha256":"b4d5c03ebb61cc15d9f8201e3c618708416b22069d702d23e488a5b1bba27b36"},"schema_version":"1.0","source":{"id":"1403.3275","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.3275","created_at":"2026-05-18T02:56:21Z"},{"alias_kind":"arxiv_version","alias_value":"1403.3275v1","created_at":"2026-05-18T02:56:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3275","created_at":"2026-05-18T02:56:21Z"},{"alias_kind":"pith_short_12","alias_value":"THVNXLED64ZZ","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"THVNXLED64ZZY6JY","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"THVNXLED","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:35b55897f242dbd052ae00cda56bb3aecf5d426febec39618a684f0757e29656","target":"graph","created_at":"2026-05-18T02:56:21Z","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 investigate the accuracy of two general non-parametric methods for estimating optimal block lengths for block bootstraps with time series - the first proposed in the seminal paper of Hall, Horowitz and Jing (Biometrika 82 (1995) 561-574) and the second from Lahiri et al. (Stat. Methodol. 4 (2007) 292-321). The relative performances of these general methods have been unknown and, to provide a comparison, we focus on rates of convergence for these block length selectors for the moving block bootstrap (MBB) with variance estimation problems under the smooth function model. It is shown that, wi","authors_text":"Daniel J. Nordman, Soumendra N. Lahiri","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-13T14:19:21Z","title":"Convergence rates of empirical block length selectors for block bootstrap"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3275","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":"sha256:0982c7f7c901fd11616071645b378b9834ee089b7930532ad63e0186e38a5efd","target":"record","created_at":"2026-05-18T02:56:21Z","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":"c7758d658b4ffd7132e8e4b3c769d23dfd2d6f0862d5883265d82b2f40fdc04d","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-03-13T14:19:21Z","title_canon_sha256":"b4d5c03ebb61cc15d9f8201e3c618708416b22069d702d23e488a5b1bba27b36"},"schema_version":"1.0","source":{"id":"1403.3275","kind":"arxiv","version":1}},"canonical_sha256":"99eadbac83f7339c7938f42895ee60a0895a1a711b9d99f90978710b05bc387b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99eadbac83f7339c7938f42895ee60a0895a1a711b9d99f90978710b05bc387b","first_computed_at":"2026-05-18T02:56:21.962724Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:21.962724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ibFefxaWY8xEnQwmiL89GbiDyfixHV/Xs3qaf8FKhEMlqNIJyXOIeZFeWaaWU/79avcCFYR/V7BMpOOGhaEdBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:21.963265Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.3275","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0982c7f7c901fd11616071645b378b9834ee089b7930532ad63e0186e38a5efd","sha256:35b55897f242dbd052ae00cda56bb3aecf5d426febec39618a684f0757e29656"],"state_sha256":"5a3226fb5b2598e70f22954a82f09455da5ff01d685eca2de0d367afeaa028ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"787tQrMn85jsXBP/2Q5Y8faksVDtm7LXGx/O/70pIqeOEbvFPhfgqFe/XSmm78NnU9+vL+2Xh0f0fekpFOUxDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T00:04:16.414404Z","bundle_sha256":"c4da572d211f69dd745b773ea75d5590c1907e82c9a7239727736727ac6f9ae8"}}