{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:5WHVU5MBBGNBCPIAPAIDEVNKVR","short_pith_number":"pith:5WHVU5MB","canonical_record":{"source":{"id":"1412.0705","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-12-01T21:57:10Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"7ec80d5f8f8aff008d22c81019dfa2c11b7f7763e14659ac42db381ac9b1bcaa","abstract_canon_sha256":"2b0b0be9a753ae9c18a4d26016fa95e5d3ac2867bfac361b80a2384c70b5b5de"},"schema_version":"1.0"},"canonical_sha256":"ed8f5a7581099a113d0078103255aaac540740b83b668a47b1a41aa21424605a","source":{"kind":"arxiv","id":"1412.0705","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0705","created_at":"2026-05-18T02:29:31Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0705v4","created_at":"2026-05-18T02:29:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0705","created_at":"2026-05-18T02:29:31Z"},{"alias_kind":"pith_short_12","alias_value":"5WHVU5MBBGNB","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"5WHVU5MBBGNBCPIA","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"5WHVU5MB","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:5WHVU5MBBGNBCPIAPAIDEVNKVR","target":"record","payload":{"canonical_record":{"source":{"id":"1412.0705","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-12-01T21:57:10Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"7ec80d5f8f8aff008d22c81019dfa2c11b7f7763e14659ac42db381ac9b1bcaa","abstract_canon_sha256":"2b0b0be9a753ae9c18a4d26016fa95e5d3ac2867bfac361b80a2384c70b5b5de"},"schema_version":"1.0"},"canonical_sha256":"ed8f5a7581099a113d0078103255aaac540740b83b668a47b1a41aa21424605a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:31.243764Z","signature_b64":"A2JwPmwkcUnw5Yo3J+VeIUwvzvBHGh5KbkZ9cWLYzGvXFP5mPRcN0iw1ChFD18XtqGDxiN8MRgTgprtmm39qCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed8f5a7581099a113d0078103255aaac540740b83b668a47b1a41aa21424605a","last_reissued_at":"2026-05-18T02:29:31.243178Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:31.243178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.0705","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:29:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KMD0pDT1IlEw2yB8m2Oi0dUH4D9LEe24v1ScgO68kljNQHoobHq9duVqVCxnC+2KiyK0EI4vX1ErV6si0jdyAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T17:50:27.511164Z"},"content_sha256":"7e6235ab155142edc410ac1c43e5141962a812738ddc6067a3fca31668153719","schema_version":"1.0","event_id":"sha256:7e6235ab155142edc410ac1c43e5141962a812738ddc6067a3fca31668153719"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:5WHVU5MBBGNBCPIAPAIDEVNKVR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exponentaited generalized Weibull Gompertz distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Abdelfattah Mustafa, M.A. EL-Damcese, M.S. Eliwa","submitted_at":"2014-12-01T21:57:10Z","abstract_excerpt":"This paper introduces studies on exponentaited generalized Weibull Gompertz distribution EGWGD which generalizes a lot of distributions. Several properties of the EGWGD such as reversed (hazard) function, moments, maximum likelihood estimation, mean residual (past) lifetime, MTTF, MTTR, MTBF, maintainability, availability and order statistics are studied in this paper. A real data set is analyzed and it is observed that the present distribution can provide a better fit than some other very well known distributions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0705","kind":"arxiv","version":4},"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":"2026-05-18T02:29:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"570Sv4Qwfj21SMdYobUYKT+qTLrEQs4v3spfSyMskmtLE4wg9gvdoacXfIMx56FrebQymAXjipwvicf34ccyCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T17:50:27.511529Z"},"content_sha256":"9ac40404fdd96e5935cc77a327b3c735e18562ba977c8c9619d357abc176f002","schema_version":"1.0","event_id":"sha256:9ac40404fdd96e5935cc77a327b3c735e18562ba977c8c9619d357abc176f002"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5WHVU5MBBGNBCPIAPAIDEVNKVR/bundle.json","state_url":"https://pith.science/pith/5WHVU5MBBGNBCPIAPAIDEVNKVR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5WHVU5MBBGNBCPIAPAIDEVNKVR/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":"2026-06-26T17:50:27Z","links":{"resolver":"https://pith.science/pith/5WHVU5MBBGNBCPIAPAIDEVNKVR","bundle":"https://pith.science/pith/5WHVU5MBBGNBCPIAPAIDEVNKVR/bundle.json","state":"https://pith.science/pith/5WHVU5MBBGNBCPIAPAIDEVNKVR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5WHVU5MBBGNBCPIAPAIDEVNKVR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5WHVU5MBBGNBCPIAPAIDEVNKVR","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":"2b0b0be9a753ae9c18a4d26016fa95e5d3ac2867bfac361b80a2384c70b5b5de","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-12-01T21:57:10Z","title_canon_sha256":"7ec80d5f8f8aff008d22c81019dfa2c11b7f7763e14659ac42db381ac9b1bcaa"},"schema_version":"1.0","source":{"id":"1412.0705","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0705","created_at":"2026-05-18T02:29:31Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0705v4","created_at":"2026-05-18T02:29:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0705","created_at":"2026-05-18T02:29:31Z"},{"alias_kind":"pith_short_12","alias_value":"5WHVU5MBBGNB","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"5WHVU5MBBGNBCPIA","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"5WHVU5MB","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:9ac40404fdd96e5935cc77a327b3c735e18562ba977c8c9619d357abc176f002","target":"graph","created_at":"2026-05-18T02:29:31Z","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":"This paper introduces studies on exponentaited generalized Weibull Gompertz distribution EGWGD which generalizes a lot of distributions. Several properties of the EGWGD such as reversed (hazard) function, moments, maximum likelihood estimation, mean residual (past) lifetime, MTTF, MTTR, MTBF, maintainability, availability and order statistics are studied in this paper. A real data set is analyzed and it is observed that the present distribution can provide a better fit than some other very well known distributions","authors_text":"Abdelfattah Mustafa, M.A. EL-Damcese, M.S. Eliwa","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-12-01T21:57:10Z","title":"Exponentaited generalized Weibull Gompertz distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0705","kind":"arxiv","version":4},"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":"sha256:7e6235ab155142edc410ac1c43e5141962a812738ddc6067a3fca31668153719","target":"record","created_at":"2026-05-18T02:29:31Z","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":"2b0b0be9a753ae9c18a4d26016fa95e5d3ac2867bfac361b80a2384c70b5b5de","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-12-01T21:57:10Z","title_canon_sha256":"7ec80d5f8f8aff008d22c81019dfa2c11b7f7763e14659ac42db381ac9b1bcaa"},"schema_version":"1.0","source":{"id":"1412.0705","kind":"arxiv","version":4}},"canonical_sha256":"ed8f5a7581099a113d0078103255aaac540740b83b668a47b1a41aa21424605a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed8f5a7581099a113d0078103255aaac540740b83b668a47b1a41aa21424605a","first_computed_at":"2026-05-18T02:29:31.243178Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:31.243178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A2JwPmwkcUnw5Yo3J+VeIUwvzvBHGh5KbkZ9cWLYzGvXFP5mPRcN0iw1ChFD18XtqGDxiN8MRgTgprtmm39qCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:31.243764Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.0705","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e6235ab155142edc410ac1c43e5141962a812738ddc6067a3fca31668153719","sha256:9ac40404fdd96e5935cc77a327b3c735e18562ba977c8c9619d357abc176f002"],"state_sha256":"d36a4afa094ecc116bd9e2b41ccbbf526b16e6151190b8579ba5f4224bc74e7f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7fNuRs4LlFEHb1FAkX79MzeWC76/tmxdAXU+tPnE67XjKsJQweXGpFhEz4zONgNXlVgbSapgBZx9KvA3ILUUAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T17:50:27.513541Z","bundle_sha256":"e025bf3b5d13ad1d8aa5adb6886521d42e5fea44b45ebba7070e347211064d12"}}