{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:52DUPYMPACSEPWXSA5XPSZ7J27","short_pith_number":"pith:52DUPYMP","canonical_record":{"source":{"id":"1605.06703","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-05-21T21:36:12Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"13eefb9808ba87d80b3f4adf167254301581b0778a8bd83efc04e3bd52ca7a4f","abstract_canon_sha256":"6fb7bea69ca95fa9ac53fe69a149f6b1bd7410802c2aa1272c865843be0783d6"},"schema_version":"1.0"},"canonical_sha256":"ee8747e18f00a447daf2076ef967e9d7d60084de4a27b92b38303610e45e9fce","source":{"kind":"arxiv","id":"1605.06703","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.06703","created_at":"2026-05-18T01:14:11Z"},{"alias_kind":"arxiv_version","alias_value":"1605.06703v1","created_at":"2026-05-18T01:14:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.06703","created_at":"2026-05-18T01:14:11Z"},{"alias_kind":"pith_short_12","alias_value":"52DUPYMPACSE","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"52DUPYMPACSEPWXS","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"52DUPYMP","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:52DUPYMPACSEPWXSA5XPSZ7J27","target":"record","payload":{"canonical_record":{"source":{"id":"1605.06703","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-05-21T21:36:12Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"13eefb9808ba87d80b3f4adf167254301581b0778a8bd83efc04e3bd52ca7a4f","abstract_canon_sha256":"6fb7bea69ca95fa9ac53fe69a149f6b1bd7410802c2aa1272c865843be0783d6"},"schema_version":"1.0"},"canonical_sha256":"ee8747e18f00a447daf2076ef967e9d7d60084de4a27b92b38303610e45e9fce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:11.471767Z","signature_b64":"zey6qfQ+3MJ9/aG5En3qeUUJ4WSCJWjMyFYGVGOI3TNLBkonX4k09YTvHMByJGMOm413cwpQ3Hbr6ScttP9RCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee8747e18f00a447daf2076ef967e9d7d60084de4a27b92b38303610e45e9fce","last_reissued_at":"2026-05-18T01:14:11.471081Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:11.471081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.06703","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":"2026-05-18T01:14:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fMJlPeIlhMBm4a5P4W0ZyNUuHbPIVoWknIH7DywgrU2pO4a1WQfEG3LtdALkDG/P1mrggwXdP0JsWChy87VWAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:55:56.794087Z"},"content_sha256":"987bcfcd19b4727b5561401fbe278e9078cda20332bbaea7896d0bc04415dbe0","schema_version":"1.0","event_id":"sha256:987bcfcd19b4727b5561401fbe278e9078cda20332bbaea7896d0bc04415dbe0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:52DUPYMPACSEPWXSA5XPSZ7J27","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kernel estimation of the intensity of Cox processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Gaspar Massiot, Nicolas Klutchnikoff","submitted_at":"2016-05-21T21:36:12Z","abstract_excerpt":"Counting processes often written $N=(N_t)_{t\\in\\mathbb{R}^+}$ are used in several applications of biostatistics, notably for the study of chronic diseases. In the case of respiratory illness it is natural to suppose that the count of the visits of a patient can be described by such a process which intensity depends on environmental covariates. Cox processes (also called doubly stochastic Poisson processes) allows to model such situations. The random intensity then writes $\\lambda(t)=\\theta(t,Z_t)$ where $\\theta$ is a non-random function, $t\\in\\mathbb{R}^+$ is the time variable and $(Z_t)_{t\\in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.06703","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":"2026-05-18T01:14:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AUbsuCdUCtCKOZCy4cIK3JhbauahnW4A9LZKBk8dO3Hmz7Z8z5lh6xylAV2NGkF61wiI3WlbEaVzD97d2MPgDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:55:56.794539Z"},"content_sha256":"ff0e05da8900ad65de42d57349ed43e484d537c2e7fdb772d14a17d6ebab65d6","schema_version":"1.0","event_id":"sha256:ff0e05da8900ad65de42d57349ed43e484d537c2e7fdb772d14a17d6ebab65d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/52DUPYMPACSEPWXSA5XPSZ7J27/bundle.json","state_url":"https://pith.science/pith/52DUPYMPACSEPWXSA5XPSZ7J27/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/52DUPYMPACSEPWXSA5XPSZ7J27/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":"2026-06-12T03:55:56Z","links":{"resolver":"https://pith.science/pith/52DUPYMPACSEPWXSA5XPSZ7J27","bundle":"https://pith.science/pith/52DUPYMPACSEPWXSA5XPSZ7J27/bundle.json","state":"https://pith.science/pith/52DUPYMPACSEPWXSA5XPSZ7J27/state.json","well_known_bundle":"https://pith.science/.well-known/pith/52DUPYMPACSEPWXSA5XPSZ7J27/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:52DUPYMPACSEPWXSA5XPSZ7J27","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":"6fb7bea69ca95fa9ac53fe69a149f6b1bd7410802c2aa1272c865843be0783d6","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-05-21T21:36:12Z","title_canon_sha256":"13eefb9808ba87d80b3f4adf167254301581b0778a8bd83efc04e3bd52ca7a4f"},"schema_version":"1.0","source":{"id":"1605.06703","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.06703","created_at":"2026-05-18T01:14:11Z"},{"alias_kind":"arxiv_version","alias_value":"1605.06703v1","created_at":"2026-05-18T01:14:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.06703","created_at":"2026-05-18T01:14:11Z"},{"alias_kind":"pith_short_12","alias_value":"52DUPYMPACSE","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"52DUPYMPACSEPWXS","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"52DUPYMP","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:ff0e05da8900ad65de42d57349ed43e484d537c2e7fdb772d14a17d6ebab65d6","target":"graph","created_at":"2026-05-18T01:14:11Z","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":"Counting processes often written $N=(N_t)_{t\\in\\mathbb{R}^+}$ are used in several applications of biostatistics, notably for the study of chronic diseases. In the case of respiratory illness it is natural to suppose that the count of the visits of a patient can be described by such a process which intensity depends on environmental covariates. Cox processes (also called doubly stochastic Poisson processes) allows to model such situations. The random intensity then writes $\\lambda(t)=\\theta(t,Z_t)$ where $\\theta$ is a non-random function, $t\\in\\mathbb{R}^+$ is the time variable and $(Z_t)_{t\\in","authors_text":"Gaspar Massiot, Nicolas Klutchnikoff","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-05-21T21:36:12Z","title":"Kernel estimation of the intensity of Cox processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.06703","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":"sha256:987bcfcd19b4727b5561401fbe278e9078cda20332bbaea7896d0bc04415dbe0","target":"record","created_at":"2026-05-18T01:14:11Z","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":"6fb7bea69ca95fa9ac53fe69a149f6b1bd7410802c2aa1272c865843be0783d6","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-05-21T21:36:12Z","title_canon_sha256":"13eefb9808ba87d80b3f4adf167254301581b0778a8bd83efc04e3bd52ca7a4f"},"schema_version":"1.0","source":{"id":"1605.06703","kind":"arxiv","version":1}},"canonical_sha256":"ee8747e18f00a447daf2076ef967e9d7d60084de4a27b92b38303610e45e9fce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee8747e18f00a447daf2076ef967e9d7d60084de4a27b92b38303610e45e9fce","first_computed_at":"2026-05-18T01:14:11.471081Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:11.471081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zey6qfQ+3MJ9/aG5En3qeUUJ4WSCJWjMyFYGVGOI3TNLBkonX4k09YTvHMByJGMOm413cwpQ3Hbr6ScttP9RCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:11.471767Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.06703","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:987bcfcd19b4727b5561401fbe278e9078cda20332bbaea7896d0bc04415dbe0","sha256:ff0e05da8900ad65de42d57349ed43e484d537c2e7fdb772d14a17d6ebab65d6"],"state_sha256":"b4cfe74d56aabb030c2cecfbbfb103b908dc9e87711fe03ebdba518079d7bb89"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2ZQ1iXZM+BAC7b/HgBKPJ9bIaYlfLeuF/D2+z2MrZFs1xNsgDyVUkoTdW4ZFbvwFT9fN0J44eXiQ6XnyLcL2Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T03:55:56.797556Z","bundle_sha256":"7707cc8380bc5ffb0b8b337a526fb0727669a8a3de7c068e143440826d1e9155"}}