{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:JVRJ42VGZQ6TNNUW7ATETVS7GJ","short_pith_number":"pith:JVRJ42VG","canonical_record":{"source":{"id":"1508.01122","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-08-05T16:22:11Z","cross_cats_sorted":[],"title_canon_sha256":"3ccbddd190b657b215083ffe9e7964c1c8814d5d7857da6c017dc2f42d7c1758","abstract_canon_sha256":"dce7077f98eaa42e703455f4afa35af3dd6b3ee58cffe021a6c2386281924ee0"},"schema_version":"1.0"},"canonical_sha256":"4d629e6aa6cc3d36b696f82649d65f32799d038214d6bceca8159e85cb10ca30","source":{"kind":"arxiv","id":"1508.01122","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.01122","created_at":"2026-05-18T01:35:44Z"},{"alias_kind":"arxiv_version","alias_value":"1508.01122v1","created_at":"2026-05-18T01:35:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01122","created_at":"2026-05-18T01:35:44Z"},{"alias_kind":"pith_short_12","alias_value":"JVRJ42VGZQ6T","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JVRJ42VGZQ6TNNUW","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JVRJ42VG","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:JVRJ42VGZQ6TNNUW7ATETVS7GJ","target":"record","payload":{"canonical_record":{"source":{"id":"1508.01122","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-08-05T16:22:11Z","cross_cats_sorted":[],"title_canon_sha256":"3ccbddd190b657b215083ffe9e7964c1c8814d5d7857da6c017dc2f42d7c1758","abstract_canon_sha256":"dce7077f98eaa42e703455f4afa35af3dd6b3ee58cffe021a6c2386281924ee0"},"schema_version":"1.0"},"canonical_sha256":"4d629e6aa6cc3d36b696f82649d65f32799d038214d6bceca8159e85cb10ca30","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:44.018988Z","signature_b64":"XoxVTQXBbV/OWgcGB537awp8LCrlTmLX50lkzCVJWb0v9xv6M7FE+cqKGxZlr6U9JeMxaJ6EGgW6xgLE87oZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d629e6aa6cc3d36b696f82649d65f32799d038214d6bceca8159e85cb10ca30","last_reissued_at":"2026-05-18T01:35:44.018586Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:44.018586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.01122","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":"2026-05-18T01:35:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7CamT5v15xcWW+zTE4YZtmpFtoI1tzG14d8P9OkfQoNK3AK0r8u8Xv4rMW06ZBFtF3NfK1CWyMm0kYEql9v8Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:39:24.186194Z"},"content_sha256":"02aa8f4f1e8ab8eb2576596edafa96a36bb6f5cd9530f7ae053bff18e5e8af82","schema_version":"1.0","event_id":"sha256:02aa8f4f1e8ab8eb2576596edafa96a36bb6f5cd9530f7ae053bff18e5e8af82"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:JVRJ42VGZQ6TNNUW7ATETVS7GJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Bivariate Generalized Linear Failure Rate-Power Series Class of Distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Ali Akbar Jafari, Rasool Roozegar","submitted_at":"2015-08-05T16:22:11Z","abstract_excerpt":"Recently it has been observed that the bivariate generalized linear failure rate distribution can be used quite effectively to analyze lifetime data in two dimensions. This paper introduces a more general class of bivariate distributions. We refer to this new class of distributions as bivariate generalized linear failure rate power series model. This new class of bivariate distributions contains several lifetime models such as: generalized linear failure rate-power series, bivariate generalized linear failure rate and bivariate generalized linear failure rate geometric distributions as special"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01122","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":"2026-05-18T01:35:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yuWo9lLfXg0VOlkRKnzmNWni8/rShGx95GXBOgribs4B8cVw+TbuH9z1OxLG8ns2CQdGKEWOPiSDaDMTgvUpBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:39:24.186820Z"},"content_sha256":"92248777557a895c0f1e2a95641859b2ea2322554c0ab82c840463b5caad423c","schema_version":"1.0","event_id":"sha256:92248777557a895c0f1e2a95641859b2ea2322554c0ab82c840463b5caad423c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JVRJ42VGZQ6TNNUW7ATETVS7GJ/bundle.json","state_url":"https://pith.science/pith/JVRJ42VGZQ6TNNUW7ATETVS7GJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JVRJ42VGZQ6TNNUW7ATETVS7GJ/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":"2026-06-01T11:39:24Z","links":{"resolver":"https://pith.science/pith/JVRJ42VGZQ6TNNUW7ATETVS7GJ","bundle":"https://pith.science/pith/JVRJ42VGZQ6TNNUW7ATETVS7GJ/bundle.json","state":"https://pith.science/pith/JVRJ42VGZQ6TNNUW7ATETVS7GJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JVRJ42VGZQ6TNNUW7ATETVS7GJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JVRJ42VGZQ6TNNUW7ATETVS7GJ","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":"dce7077f98eaa42e703455f4afa35af3dd6b3ee58cffe021a6c2386281924ee0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-08-05T16:22:11Z","title_canon_sha256":"3ccbddd190b657b215083ffe9e7964c1c8814d5d7857da6c017dc2f42d7c1758"},"schema_version":"1.0","source":{"id":"1508.01122","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.01122","created_at":"2026-05-18T01:35:44Z"},{"alias_kind":"arxiv_version","alias_value":"1508.01122v1","created_at":"2026-05-18T01:35:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01122","created_at":"2026-05-18T01:35:44Z"},{"alias_kind":"pith_short_12","alias_value":"JVRJ42VGZQ6T","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JVRJ42VGZQ6TNNUW","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JVRJ42VG","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:92248777557a895c0f1e2a95641859b2ea2322554c0ab82c840463b5caad423c","target":"graph","created_at":"2026-05-18T01:35:44Z","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":"Recently it has been observed that the bivariate generalized linear failure rate distribution can be used quite effectively to analyze lifetime data in two dimensions. This paper introduces a more general class of bivariate distributions. We refer to this new class of distributions as bivariate generalized linear failure rate power series model. This new class of bivariate distributions contains several lifetime models such as: generalized linear failure rate-power series, bivariate generalized linear failure rate and bivariate generalized linear failure rate geometric distributions as special","authors_text":"Ali Akbar Jafari, Rasool Roozegar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-08-05T16:22:11Z","title":"On Bivariate Generalized Linear Failure Rate-Power Series Class of Distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01122","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":"sha256:02aa8f4f1e8ab8eb2576596edafa96a36bb6f5cd9530f7ae053bff18e5e8af82","target":"record","created_at":"2026-05-18T01:35:44Z","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":"dce7077f98eaa42e703455f4afa35af3dd6b3ee58cffe021a6c2386281924ee0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2015-08-05T16:22:11Z","title_canon_sha256":"3ccbddd190b657b215083ffe9e7964c1c8814d5d7857da6c017dc2f42d7c1758"},"schema_version":"1.0","source":{"id":"1508.01122","kind":"arxiv","version":1}},"canonical_sha256":"4d629e6aa6cc3d36b696f82649d65f32799d038214d6bceca8159e85cb10ca30","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d629e6aa6cc3d36b696f82649d65f32799d038214d6bceca8159e85cb10ca30","first_computed_at":"2026-05-18T01:35:44.018586Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:44.018586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XoxVTQXBbV/OWgcGB537awp8LCrlTmLX50lkzCVJWb0v9xv6M7FE+cqKGxZlr6U9JeMxaJ6EGgW6xgLE87oZBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:44.018988Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.01122","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02aa8f4f1e8ab8eb2576596edafa96a36bb6f5cd9530f7ae053bff18e5e8af82","sha256:92248777557a895c0f1e2a95641859b2ea2322554c0ab82c840463b5caad423c"],"state_sha256":"1dcd3b6e202652e5c53eb34415a3c1b3f66f5199fd7689d567b2083201756355"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qhG4GlOg290GdC2TTvpf6NpPIESOTtu8AHKlT4aNNNKVvRhuPNApJMVMeH0ipIGYscebHf7G1pP8uRZjNr3BAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T11:39:24.189820Z","bundle_sha256":"4663d396a118c6e81a85b02dede5dda15e0aea216577608a1131e0b57af73e2d"}}