{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:KUAIZS27SJXZQKIPM3MFX77OGJ","short_pith_number":"pith:KUAIZS27","canonical_record":{"source":{"id":"1306.1493","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-06-06T18:03:23Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"fe467cae08e62ca824cdbb7ac5c152bfe2b0f1952f15b09cacf731eff4d1ebe7","abstract_canon_sha256":"38124631a04d232826efc920f573f68555c5ca03d325152e6ab10752bc69b5ed"},"schema_version":"1.0"},"canonical_sha256":"55008ccb5f926f98290f66d85bffee32402455368eccdbd0df1fd56c61517973","source":{"kind":"arxiv","id":"1306.1493","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.1493","created_at":"2026-05-18T03:21:34Z"},{"alias_kind":"arxiv_version","alias_value":"1306.1493v1","created_at":"2026-05-18T03:21:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1493","created_at":"2026-05-18T03:21:34Z"},{"alias_kind":"pith_short_12","alias_value":"KUAIZS27SJXZ","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KUAIZS27SJXZQKIP","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KUAIZS27","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:KUAIZS27SJXZQKIPM3MFX77OGJ","target":"record","payload":{"canonical_record":{"source":{"id":"1306.1493","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-06-06T18:03:23Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"fe467cae08e62ca824cdbb7ac5c152bfe2b0f1952f15b09cacf731eff4d1ebe7","abstract_canon_sha256":"38124631a04d232826efc920f573f68555c5ca03d325152e6ab10752bc69b5ed"},"schema_version":"1.0"},"canonical_sha256":"55008ccb5f926f98290f66d85bffee32402455368eccdbd0df1fd56c61517973","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:21:34.021698Z","signature_b64":"p0KrloY8YpSiHLrSzleuj4hmoHevEolnrWwZ4OvZOmTRuyCFphndHxeRqN90Rdl5IITzINAvZ3X//JjmA7gMAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55008ccb5f926f98290f66d85bffee32402455368eccdbd0df1fd56c61517973","last_reissued_at":"2026-05-18T03:21:34.020956Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:21:34.020956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.1493","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":"2026-05-18T03:21:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oWBZYI13sTeHimI05kPmS88pUb6ogqRLAGiUa+0ffgiR3p9DvBRuwkAFqzIuPl3sOLG0lnuKKrFTTJqdWxAjCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:01:26.488160Z"},"content_sha256":"92cdaecef7df30efa726a79d95ae4d4354c56f4011225a9665146fc0fd2eb2dc","schema_version":"1.0","event_id":"sha256:92cdaecef7df30efa726a79d95ae4d4354c56f4011225a9665146fc0fd2eb2dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:KUAIZS27SJXZQKIPM3MFX77OGJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extended empirical likelihood for general estimating equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Fan Wu, Min Tsao","submitted_at":"2013-06-06T18:03:23Z","abstract_excerpt":"We derive an extended empirical likelihood for parameters defined by estimating equations which generalizes the original empirical likelihood for such parameters to the full parameter space. Under mild conditions, the extended empirical likelihood has all asymptotic properties of the original empirical likelihood. Its contours retain the data-driven shape of the latter. It can also attain the second order accuracy. The first order extended empirical likelihood is easy-to-use yet it is substantially more accurate than other empirical likelihoods, including second order ones. We recommend it for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1493","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":"2026-05-18T03:21:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tw2TRLmZfiqzTtE5FzB4utUJg5baAGoocw7qyPqVfnLCtqLgyoMhvaLGtLIrTfNVE9+2Sf47JPxDBaby0ysACQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:01:26.488843Z"},"content_sha256":"9cb772c3068eb52a6d6ca85824be0cea9973e53b7faa683ac5c589b88de20085","schema_version":"1.0","event_id":"sha256:9cb772c3068eb52a6d6ca85824be0cea9973e53b7faa683ac5c589b88de20085"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KUAIZS27SJXZQKIPM3MFX77OGJ/bundle.json","state_url":"https://pith.science/pith/KUAIZS27SJXZQKIPM3MFX77OGJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KUAIZS27SJXZQKIPM3MFX77OGJ/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":"2026-05-25T18:01:26Z","links":{"resolver":"https://pith.science/pith/KUAIZS27SJXZQKIPM3MFX77OGJ","bundle":"https://pith.science/pith/KUAIZS27SJXZQKIPM3MFX77OGJ/bundle.json","state":"https://pith.science/pith/KUAIZS27SJXZQKIPM3MFX77OGJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KUAIZS27SJXZQKIPM3MFX77OGJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KUAIZS27SJXZQKIPM3MFX77OGJ","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":"38124631a04d232826efc920f573f68555c5ca03d325152e6ab10752bc69b5ed","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-06-06T18:03:23Z","title_canon_sha256":"fe467cae08e62ca824cdbb7ac5c152bfe2b0f1952f15b09cacf731eff4d1ebe7"},"schema_version":"1.0","source":{"id":"1306.1493","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.1493","created_at":"2026-05-18T03:21:34Z"},{"alias_kind":"arxiv_version","alias_value":"1306.1493v1","created_at":"2026-05-18T03:21:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1493","created_at":"2026-05-18T03:21:34Z"},{"alias_kind":"pith_short_12","alias_value":"KUAIZS27SJXZ","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KUAIZS27SJXZQKIP","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KUAIZS27","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:9cb772c3068eb52a6d6ca85824be0cea9973e53b7faa683ac5c589b88de20085","target":"graph","created_at":"2026-05-18T03:21:34Z","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 derive an extended empirical likelihood for parameters defined by estimating equations which generalizes the original empirical likelihood for such parameters to the full parameter space. Under mild conditions, the extended empirical likelihood has all asymptotic properties of the original empirical likelihood. Its contours retain the data-driven shape of the latter. It can also attain the second order accuracy. The first order extended empirical likelihood is easy-to-use yet it is substantially more accurate than other empirical likelihoods, including second order ones. We recommend it for","authors_text":"Fan Wu, Min Tsao","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-06-06T18:03:23Z","title":"Extended empirical likelihood for general estimating equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1493","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":"sha256:92cdaecef7df30efa726a79d95ae4d4354c56f4011225a9665146fc0fd2eb2dc","target":"record","created_at":"2026-05-18T03:21:34Z","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":"38124631a04d232826efc920f573f68555c5ca03d325152e6ab10752bc69b5ed","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-06-06T18:03:23Z","title_canon_sha256":"fe467cae08e62ca824cdbb7ac5c152bfe2b0f1952f15b09cacf731eff4d1ebe7"},"schema_version":"1.0","source":{"id":"1306.1493","kind":"arxiv","version":1}},"canonical_sha256":"55008ccb5f926f98290f66d85bffee32402455368eccdbd0df1fd56c61517973","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55008ccb5f926f98290f66d85bffee32402455368eccdbd0df1fd56c61517973","first_computed_at":"2026-05-18T03:21:34.020956Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:34.020956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p0KrloY8YpSiHLrSzleuj4hmoHevEolnrWwZ4OvZOmTRuyCFphndHxeRqN90Rdl5IITzINAvZ3X//JjmA7gMAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:34.021698Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.1493","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92cdaecef7df30efa726a79d95ae4d4354c56f4011225a9665146fc0fd2eb2dc","sha256:9cb772c3068eb52a6d6ca85824be0cea9973e53b7faa683ac5c589b88de20085"],"state_sha256":"8dd8f7e7ed00ebab61a64d600cad99482e83cb050ea85a49893388e8279da254"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2RZ+jYuxWXEvsgHLEsW0mXHh7k83/OJnVmefhLmxPPTOGkhqw2ijjoJ3P6WBBZFOeZ3Hi5P+9bqNwiFv3IIkDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:01:26.492797Z","bundle_sha256":"0d1e66af7f8cceede9a5856c832c89a3d215ea61705baa86c1352ec5de2320df"}}