{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TFY6DMPJJBKRE4SH6KI2COSR7H","short_pith_number":"pith:TFY6DMPJ","canonical_record":{"source":{"id":"1409.6854","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-09-24T08:27:32Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"4cc6f9d7bef20f9872886b2eb8b32f2177db7e776614950102688eb8e833fe8d","abstract_canon_sha256":"dab21c04697e42ea0df268fc8545346d31788b2c5b6623ff1d2afb5e06f056be"},"schema_version":"1.0"},"canonical_sha256":"9971e1b1e94855127247f291a13a51f9e369ff0ca3d9fd10c8610aa69ceda64f","source":{"kind":"arxiv","id":"1409.6854","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.6854","created_at":"2026-05-18T02:42:00Z"},{"alias_kind":"arxiv_version","alias_value":"1409.6854v1","created_at":"2026-05-18T02:42:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6854","created_at":"2026-05-18T02:42:00Z"},{"alias_kind":"pith_short_12","alias_value":"TFY6DMPJJBKR","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TFY6DMPJJBKRE4SH","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TFY6DMPJ","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TFY6DMPJJBKRE4SH6KI2COSR7H","target":"record","payload":{"canonical_record":{"source":{"id":"1409.6854","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-09-24T08:27:32Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"4cc6f9d7bef20f9872886b2eb8b32f2177db7e776614950102688eb8e833fe8d","abstract_canon_sha256":"dab21c04697e42ea0df268fc8545346d31788b2c5b6623ff1d2afb5e06f056be"},"schema_version":"1.0"},"canonical_sha256":"9971e1b1e94855127247f291a13a51f9e369ff0ca3d9fd10c8610aa69ceda64f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:00.313849Z","signature_b64":"LGyr+w9/7yduKYK252pDx1JigtQx5i67ZLyRkTbCN7Ne6YhnGiOdTJIUsuEXEjNeTT9qk7kTfnYEQYtRnISTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9971e1b1e94855127247f291a13a51f9e369ff0ca3d9fd10c8610aa69ceda64f","last_reissued_at":"2026-05-18T02:42:00.313476Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:00.313476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.6854","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":"2026-05-18T02:42:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YBXt9B/2O9FcRyTSGTXHc1frBcpilFd1H8iYvMQWZQdBq7XihSToj9hi3OyvHNbOmiOR6EgDVCv3JZVt/JwlDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:13:28.263036Z"},"content_sha256":"9ed30f80f60f6a18129091eb0aff3ea303914c321d8fb2accd2a0882ac95651f","schema_version":"1.0","event_id":"sha256:9ed30f80f60f6a18129091eb0aff3ea303914c321d8fb2accd2a0882ac95651f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TFY6DMPJJBKRE4SH6KI2COSR7H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exponent dependence measures of survival functions and correlated frailty models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Arnold Janssen, Dennis Dobler, Jens Bendel","submitted_at":"2014-09-24T08:27:32Z","abstract_excerpt":"The present article studies survival analytic aspects of semiparametric copula dependence models with arbitrary univariate marginals. The underlying survival functions admit a representation via exponent measures which have an interpretation within the context of hazard functions. In particular, correlated frailty survival models are linked to copulas. Additionally, the relation to exponent measures of minumum-infinitely divisible distributions as well as to the L\\'evy measure of the L\\'evy-Khintchine formula is pointed out. The semiparametric character of the current analyses and the construc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6854","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":"2026-05-18T02:42:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"na5PCQhRlaEefJ1HIrrGjvDMIjVPSvhrlXVZu1iGVJjjf9FevibaQJNvXq0BblFgbDK5ePBUoWac9kJLOY2fCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:13:28.263399Z"},"content_sha256":"44ea302761bd586058239d62409d77f9d748e1b130c3e88f6581a45165bb5860","schema_version":"1.0","event_id":"sha256:44ea302761bd586058239d62409d77f9d748e1b130c3e88f6581a45165bb5860"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TFY6DMPJJBKRE4SH6KI2COSR7H/bundle.json","state_url":"https://pith.science/pith/TFY6DMPJJBKRE4SH6KI2COSR7H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TFY6DMPJJBKRE4SH6KI2COSR7H/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":"2026-06-24T04:13:28Z","links":{"resolver":"https://pith.science/pith/TFY6DMPJJBKRE4SH6KI2COSR7H","bundle":"https://pith.science/pith/TFY6DMPJJBKRE4SH6KI2COSR7H/bundle.json","state":"https://pith.science/pith/TFY6DMPJJBKRE4SH6KI2COSR7H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TFY6DMPJJBKRE4SH6KI2COSR7H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TFY6DMPJJBKRE4SH6KI2COSR7H","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":"dab21c04697e42ea0df268fc8545346d31788b2c5b6623ff1d2afb5e06f056be","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-09-24T08:27:32Z","title_canon_sha256":"4cc6f9d7bef20f9872886b2eb8b32f2177db7e776614950102688eb8e833fe8d"},"schema_version":"1.0","source":{"id":"1409.6854","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.6854","created_at":"2026-05-18T02:42:00Z"},{"alias_kind":"arxiv_version","alias_value":"1409.6854v1","created_at":"2026-05-18T02:42:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6854","created_at":"2026-05-18T02:42:00Z"},{"alias_kind":"pith_short_12","alias_value":"TFY6DMPJJBKR","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TFY6DMPJJBKRE4SH","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TFY6DMPJ","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:44ea302761bd586058239d62409d77f9d748e1b130c3e88f6581a45165bb5860","target":"graph","created_at":"2026-05-18T02:42:00Z","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":"The present article studies survival analytic aspects of semiparametric copula dependence models with arbitrary univariate marginals. The underlying survival functions admit a representation via exponent measures which have an interpretation within the context of hazard functions. In particular, correlated frailty survival models are linked to copulas. Additionally, the relation to exponent measures of minumum-infinitely divisible distributions as well as to the L\\'evy measure of the L\\'evy-Khintchine formula is pointed out. The semiparametric character of the current analyses and the construc","authors_text":"Arnold Janssen, Dennis Dobler, Jens Bendel","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-09-24T08:27:32Z","title":"Exponent dependence measures of survival functions and correlated frailty models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6854","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":"sha256:9ed30f80f60f6a18129091eb0aff3ea303914c321d8fb2accd2a0882ac95651f","target":"record","created_at":"2026-05-18T02:42:00Z","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":"dab21c04697e42ea0df268fc8545346d31788b2c5b6623ff1d2afb5e06f056be","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-09-24T08:27:32Z","title_canon_sha256":"4cc6f9d7bef20f9872886b2eb8b32f2177db7e776614950102688eb8e833fe8d"},"schema_version":"1.0","source":{"id":"1409.6854","kind":"arxiv","version":1}},"canonical_sha256":"9971e1b1e94855127247f291a13a51f9e369ff0ca3d9fd10c8610aa69ceda64f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9971e1b1e94855127247f291a13a51f9e369ff0ca3d9fd10c8610aa69ceda64f","first_computed_at":"2026-05-18T02:42:00.313476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:00.313476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LGyr+w9/7yduKYK252pDx1JigtQx5i67ZLyRkTbCN7Ne6YhnGiOdTJIUsuEXEjNeTT9qk7kTfnYEQYtRnISTAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:00.313849Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.6854","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ed30f80f60f6a18129091eb0aff3ea303914c321d8fb2accd2a0882ac95651f","sha256:44ea302761bd586058239d62409d77f9d748e1b130c3e88f6581a45165bb5860"],"state_sha256":"ba5ba291cedd2a2afe502fcf5c7befac6939f99c0c2f381556c04ece0b5d5028"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6KEfWrvdIurhoSaUQZf3E4YDBcQYm7i8SzjmPdr3tenVAt4rQ/oTVvEmGgyXQrV6fMCHtXuYbMSUzIWG3H3lAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T04:13:28.265377Z","bundle_sha256":"cc8656b780e4c41d74ba3d5c01a88d1df4f92d81f1ac69b56563bfc92fb13b2c"}}