{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:XDAG4QB4S5NSCKKFLMIIAAL2OY","short_pith_number":"pith:XDAG4QB4","canonical_record":{"source":{"id":"1805.07672","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-05-19T22:46:47Z","cross_cats_sorted":[],"title_canon_sha256":"659f7ff32103de53e4119e11beb968a4f4e0506e60329e9b6e69b8e6c535ba42","abstract_canon_sha256":"27c860132a9d1b498abe69668ec4a352d534e2d78fdda835340c7a7436eaeccf"},"schema_version":"1.0"},"canonical_sha256":"b8c06e403c975b2129455b1080017a763fbc1df04e5d7290cad1ee3542c67577","source":{"kind":"arxiv","id":"1805.07672","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.07672","created_at":"2026-05-18T00:15:32Z"},{"alias_kind":"arxiv_version","alias_value":"1805.07672v1","created_at":"2026-05-18T00:15:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.07672","created_at":"2026-05-18T00:15:32Z"},{"alias_kind":"pith_short_12","alias_value":"XDAG4QB4S5NS","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XDAG4QB4S5NSCKKF","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XDAG4QB4","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:XDAG4QB4S5NSCKKFLMIIAAL2OY","target":"record","payload":{"canonical_record":{"source":{"id":"1805.07672","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-05-19T22:46:47Z","cross_cats_sorted":[],"title_canon_sha256":"659f7ff32103de53e4119e11beb968a4f4e0506e60329e9b6e69b8e6c535ba42","abstract_canon_sha256":"27c860132a9d1b498abe69668ec4a352d534e2d78fdda835340c7a7436eaeccf"},"schema_version":"1.0"},"canonical_sha256":"b8c06e403c975b2129455b1080017a763fbc1df04e5d7290cad1ee3542c67577","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:32.858214Z","signature_b64":"IviG6Zf/OJkSIcZNAjov9KmU/UfE74xymAM6ssQqEkqBWZ4Sblv/OjYWnM8bVHgJqTl3R4LxK+5aEnRyN5aeDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8c06e403c975b2129455b1080017a763fbc1df04e5d7290cad1ee3542c67577","last_reissued_at":"2026-05-18T00:15:32.857457Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:32.857457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.07672","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":"2026-05-18T00:15:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VgIEFUwJUC8+2vB4DWLeyarRWWtNCxUerLzPVePmPpv08K2RYARb6/q9EckUXJNHMdP9ebMf8WJdg/37P1rCBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:52:27.888565Z"},"content_sha256":"c13a3804a3acdce70855436f06cea39711edf2957523d031fbe2b572ce014625","schema_version":"1.0","event_id":"sha256:c13a3804a3acdce70855436f06cea39711edf2957523d031fbe2b572ce014625"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:XDAG4QB4S5NSCKKFLMIIAAL2OY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Extended Poisson Family of Life Distribution: A Unified Approach in Competitive and Complementary Risks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Dipak K. Dey, Francisco Louzada, Pedro L. Ramos, Victor H. Lachos","submitted_at":"2018-05-19T22:46:47Z","abstract_excerpt":"In this paper, we introduce a new approach to generate flexible parametric families of distributions. These models arise on competitive and complementary risks scenario, in which the lifetime associated with a particular risk is not observable, rather, we observe only the minimum/maximum lifetime value among all risks. The latent variables have a zero truncated Poisson distribution. For the proposed family of distribution, the extra shape parameter has an important physical interpretation in the competing and complementary risks scenario. The mathematical properties and inferential procedures "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.07672","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":"2026-05-18T00:15:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FM6HjYiCqz9hvYwJdvYagHIbH91csExAA/d2Siw/e3I+RFAyu1+pIIvjDj9gyxgV+rk/6kVNv9HgkM9yqGhrBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:52:27.888912Z"},"content_sha256":"c907fa949d5d3737e2715e2265f2164a294fdb9e446e88e45001d4724c3c43ae","schema_version":"1.0","event_id":"sha256:c907fa949d5d3737e2715e2265f2164a294fdb9e446e88e45001d4724c3c43ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XDAG4QB4S5NSCKKFLMIIAAL2OY/bundle.json","state_url":"https://pith.science/pith/XDAG4QB4S5NSCKKFLMIIAAL2OY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XDAG4QB4S5NSCKKFLMIIAAL2OY/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":"2026-06-03T22:52:27Z","links":{"resolver":"https://pith.science/pith/XDAG4QB4S5NSCKKFLMIIAAL2OY","bundle":"https://pith.science/pith/XDAG4QB4S5NSCKKFLMIIAAL2OY/bundle.json","state":"https://pith.science/pith/XDAG4QB4S5NSCKKFLMIIAAL2OY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XDAG4QB4S5NSCKKFLMIIAAL2OY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:XDAG4QB4S5NSCKKFLMIIAAL2OY","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":"27c860132a9d1b498abe69668ec4a352d534e2d78fdda835340c7a7436eaeccf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-05-19T22:46:47Z","title_canon_sha256":"659f7ff32103de53e4119e11beb968a4f4e0506e60329e9b6e69b8e6c535ba42"},"schema_version":"1.0","source":{"id":"1805.07672","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.07672","created_at":"2026-05-18T00:15:32Z"},{"alias_kind":"arxiv_version","alias_value":"1805.07672v1","created_at":"2026-05-18T00:15:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.07672","created_at":"2026-05-18T00:15:32Z"},{"alias_kind":"pith_short_12","alias_value":"XDAG4QB4S5NS","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XDAG4QB4S5NSCKKF","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XDAG4QB4","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:c907fa949d5d3737e2715e2265f2164a294fdb9e446e88e45001d4724c3c43ae","target":"graph","created_at":"2026-05-18T00:15:32Z","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":"In this paper, we introduce a new approach to generate flexible parametric families of distributions. These models arise on competitive and complementary risks scenario, in which the lifetime associated with a particular risk is not observable, rather, we observe only the minimum/maximum lifetime value among all risks. The latent variables have a zero truncated Poisson distribution. For the proposed family of distribution, the extra shape parameter has an important physical interpretation in the competing and complementary risks scenario. The mathematical properties and inferential procedures ","authors_text":"Dipak K. Dey, Francisco Louzada, Pedro L. Ramos, Victor H. Lachos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-05-19T22:46:47Z","title":"An Extended Poisson Family of Life Distribution: A Unified Approach in Competitive and Complementary Risks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.07672","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:c13a3804a3acdce70855436f06cea39711edf2957523d031fbe2b572ce014625","target":"record","created_at":"2026-05-18T00:15:32Z","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":"27c860132a9d1b498abe69668ec4a352d534e2d78fdda835340c7a7436eaeccf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-05-19T22:46:47Z","title_canon_sha256":"659f7ff32103de53e4119e11beb968a4f4e0506e60329e9b6e69b8e6c535ba42"},"schema_version":"1.0","source":{"id":"1805.07672","kind":"arxiv","version":1}},"canonical_sha256":"b8c06e403c975b2129455b1080017a763fbc1df04e5d7290cad1ee3542c67577","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8c06e403c975b2129455b1080017a763fbc1df04e5d7290cad1ee3542c67577","first_computed_at":"2026-05-18T00:15:32.857457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:32.857457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IviG6Zf/OJkSIcZNAjov9KmU/UfE74xymAM6ssQqEkqBWZ4Sblv/OjYWnM8bVHgJqTl3R4LxK+5aEnRyN5aeDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:32.858214Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.07672","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c13a3804a3acdce70855436f06cea39711edf2957523d031fbe2b572ce014625","sha256:c907fa949d5d3737e2715e2265f2164a294fdb9e446e88e45001d4724c3c43ae"],"state_sha256":"10a879f0217d03faf7cb5ac41eb2334b7bd1384cd74ca038d1d507a1f0ef7b25"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3XiLq7hXxn5Hkjv4SB3vmaHQ+DRMO6mv+cQQCof4AZpW+RgcCymJmyDxn9PL39vYPeUk9X+/wvwZBa6p3tPZDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T22:52:27.890876Z","bundle_sha256":"1c9a284fa06b9697ff8e32c3cee3def9e812d56e70f1a5bfc6a662f3c4dc36fb"}}