{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:UFDUILRLWO7EETMOU7PCMUBY6F","short_pith_number":"pith:UFDUILRL","canonical_record":{"source":{"id":"2107.11998","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"stat.ME","submitted_at":"2021-07-26T07:17:37Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"11477bc1c7ffe0128c79bb92d74b0d5589bc1f01a7488736a7a4ee27de1273a5","abstract_canon_sha256":"dc16f3d3d1b09ef9e0a1ff9dd72a3e24f0e6fa952763bfd85abd70eca401af76"},"schema_version":"1.0"},"canonical_sha256":"a147442e2bb3be424d8ea7de265038f14adf18b85a1f8f3bb54690d062da6285","source":{"kind":"arxiv","id":"2107.11998","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.11998","created_at":"2026-07-05T08:59:56Z"},{"alias_kind":"arxiv_version","alias_value":"2107.11998v1","created_at":"2026-07-05T08:59:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.11998","created_at":"2026-07-05T08:59:56Z"},{"alias_kind":"pith_short_12","alias_value":"UFDUILRLWO7E","created_at":"2026-07-05T08:59:56Z"},{"alias_kind":"pith_short_16","alias_value":"UFDUILRLWO7EETMO","created_at":"2026-07-05T08:59:56Z"},{"alias_kind":"pith_short_8","alias_value":"UFDUILRL","created_at":"2026-07-05T08:59:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:UFDUILRLWO7EETMOU7PCMUBY6F","target":"record","payload":{"canonical_record":{"source":{"id":"2107.11998","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"stat.ME","submitted_at":"2021-07-26T07:17:37Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"11477bc1c7ffe0128c79bb92d74b0d5589bc1f01a7488736a7a4ee27de1273a5","abstract_canon_sha256":"dc16f3d3d1b09ef9e0a1ff9dd72a3e24f0e6fa952763bfd85abd70eca401af76"},"schema_version":"1.0"},"canonical_sha256":"a147442e2bb3be424d8ea7de265038f14adf18b85a1f8f3bb54690d062da6285","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:59:56.949643Z","signature_b64":"Wa/IBcNvGyXeyPXrtIFAUpCIsO+aI19HJHvDCgjIT23mpLOoRnaNGQ5Tid+P8Z9PFyuQklDMmUlC2be46YMhDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a147442e2bb3be424d8ea7de265038f14adf18b85a1f8f3bb54690d062da6285","last_reissued_at":"2026-07-05T08:59:56.949246Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:59:56.949246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2107.11998","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":"2026-07-05T08:59:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ulAaszKyRn9Lgajfh2G16euaC/6gyHsJRolJiNnvmXc0FrK04FChlHAfQIGp+kxCTPkiecgDmTqodGFLekBUBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T17:27:07.450092Z"},"content_sha256":"a4b9d44280b5a91651f936564d97c1010a55355b037327bb158f51a5ffbab7e8","schema_version":"1.0","event_id":"sha256:a4b9d44280b5a91651f936564d97c1010a55355b037327bb158f51a5ffbab7e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:UFDUILRLWO7EETMOU7PCMUBY6F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Novel Bivariate Generalized Weibull Distribution with Properties and Applications","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"Arvind Pandey, Ashok Kumar Pathak, Mohd. Arshad, Mukti Khetan, Qazi J. Azhad","submitted_at":"2021-07-26T07:17:37Z","abstract_excerpt":"Univariate Weibull distribution is a well-known lifetime distribution and has been widely used in reliability and survival analysis. In this paper, we introduce a new family of bivariate generalized Weibull (BGW) distributions, whose univariate marginals are exponentiated Weibull distribution. Different statistical quantiles like marginals, conditional distribution, conditional expectation, product moments, correlation and a measure component reliability are derived. Various measures of dependence and statistical properties along with ageing properties are examined. Further, the copula associa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.11998","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2107.11998/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:59:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7bOEdM/8PVTMvJpkLB79fLyu5Jbe9MYyw8WveY9e2LcFPkHmPBUEES0bI5qTPlQTf/7LMuKrcd5ojsTzccUDCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T17:27:07.450522Z"},"content_sha256":"1a6cab8227afcfbf41e4e71931189f68e7661a31ef2d4bb1710e61a229fdd173","schema_version":"1.0","event_id":"sha256:1a6cab8227afcfbf41e4e71931189f68e7661a31ef2d4bb1710e61a229fdd173"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UFDUILRLWO7EETMOU7PCMUBY6F/bundle.json","state_url":"https://pith.science/pith/UFDUILRLWO7EETMOU7PCMUBY6F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UFDUILRLWO7EETMOU7PCMUBY6F/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":"2026-07-10T17:27:07Z","links":{"resolver":"https://pith.science/pith/UFDUILRLWO7EETMOU7PCMUBY6F","bundle":"https://pith.science/pith/UFDUILRLWO7EETMOU7PCMUBY6F/bundle.json","state":"https://pith.science/pith/UFDUILRLWO7EETMOU7PCMUBY6F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UFDUILRLWO7EETMOU7PCMUBY6F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:UFDUILRLWO7EETMOU7PCMUBY6F","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":"dc16f3d3d1b09ef9e0a1ff9dd72a3e24f0e6fa952763bfd85abd70eca401af76","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"stat.ME","submitted_at":"2021-07-26T07:17:37Z","title_canon_sha256":"11477bc1c7ffe0128c79bb92d74b0d5589bc1f01a7488736a7a4ee27de1273a5"},"schema_version":"1.0","source":{"id":"2107.11998","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.11998","created_at":"2026-07-05T08:59:56Z"},{"alias_kind":"arxiv_version","alias_value":"2107.11998v1","created_at":"2026-07-05T08:59:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.11998","created_at":"2026-07-05T08:59:56Z"},{"alias_kind":"pith_short_12","alias_value":"UFDUILRLWO7E","created_at":"2026-07-05T08:59:56Z"},{"alias_kind":"pith_short_16","alias_value":"UFDUILRLWO7EETMO","created_at":"2026-07-05T08:59:56Z"},{"alias_kind":"pith_short_8","alias_value":"UFDUILRL","created_at":"2026-07-05T08:59:56Z"}],"graph_snapshots":[{"event_id":"sha256:1a6cab8227afcfbf41e4e71931189f68e7661a31ef2d4bb1710e61a229fdd173","target":"graph","created_at":"2026-07-05T08:59:56Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2107.11998/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Univariate Weibull distribution is a well-known lifetime distribution and has been widely used in reliability and survival analysis. In this paper, we introduce a new family of bivariate generalized Weibull (BGW) distributions, whose univariate marginals are exponentiated Weibull distribution. Different statistical quantiles like marginals, conditional distribution, conditional expectation, product moments, correlation and a measure component reliability are derived. Various measures of dependence and statistical properties along with ageing properties are examined. Further, the copula associa","authors_text":"Arvind Pandey, Ashok Kumar Pathak, Mohd. Arshad, Mukti Khetan, Qazi J. Azhad","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"stat.ME","submitted_at":"2021-07-26T07:17:37Z","title":"A Novel Bivariate Generalized Weibull Distribution with Properties and Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.11998","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:a4b9d44280b5a91651f936564d97c1010a55355b037327bb158f51a5ffbab7e8","target":"record","created_at":"2026-07-05T08:59:56Z","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":"dc16f3d3d1b09ef9e0a1ff9dd72a3e24f0e6fa952763bfd85abd70eca401af76","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"stat.ME","submitted_at":"2021-07-26T07:17:37Z","title_canon_sha256":"11477bc1c7ffe0128c79bb92d74b0d5589bc1f01a7488736a7a4ee27de1273a5"},"schema_version":"1.0","source":{"id":"2107.11998","kind":"arxiv","version":1}},"canonical_sha256":"a147442e2bb3be424d8ea7de265038f14adf18b85a1f8f3bb54690d062da6285","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a147442e2bb3be424d8ea7de265038f14adf18b85a1f8f3bb54690d062da6285","first_computed_at":"2026-07-05T08:59:56.949246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:59:56.949246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wa/IBcNvGyXeyPXrtIFAUpCIsO+aI19HJHvDCgjIT23mpLOoRnaNGQ5Tid+P8Z9PFyuQklDMmUlC2be46YMhDA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:59:56.949643Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.11998","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4b9d44280b5a91651f936564d97c1010a55355b037327bb158f51a5ffbab7e8","sha256:1a6cab8227afcfbf41e4e71931189f68e7661a31ef2d4bb1710e61a229fdd173"],"state_sha256":"0191d816c7709598e2ed197a2671999abf8b9d0b6ebea1c4ce6efecf5cecf2c0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aCQ+3wwk4XVJ8ghcHlo6vza7sw3B7SbSfENRaDJ4B9PHvOK0Il9mX8l132bHVA8+q+GZTBHbi5Z8A9Nh045VDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-10T17:27:07.452797Z","bundle_sha256":"456dc0f183c409267fff8f0f85184e6bf232298c26f3dd0f392850cf9c3e1f7a"}}