{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ML64JBCSK2VFHLEVP4DI26K7QU","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":"f4ddfe8e199b426a42e6a0f0bb05b096e5cad03ef49d921f81be12b32f5b8c77","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-09-22T18:28:22Z","title_canon_sha256":"56ecd3f96b18752d7fc43f57a697f1718e67c1ff3a94e4f75d44c41982e4dc0c"},"schema_version":"1.0","source":{"id":"1309.5625","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.5625","created_at":"2026-05-18T02:40:04Z"},{"alias_kind":"arxiv_version","alias_value":"1309.5625v2","created_at":"2026-05-18T02:40:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.5625","created_at":"2026-05-18T02:40:04Z"},{"alias_kind":"pith_short_12","alias_value":"ML64JBCSK2VF","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"ML64JBCSK2VFHLEV","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"ML64JBCS","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:56131d07015e366e0fdb1ef2fd0ec0fb8d4ca7d5027741a1ea848cbe351af1cc","target":"graph","created_at":"2026-05-18T02:40:04Z","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 propose a stochastic process, which is a Cox-Ingersoll-Ross process with Hawkes jumps. It can be seen as a generalization of the classical Cox-Ingersoll-Ross process and the classical Hawkes process with exponential exciting function. Our model is a special case of the affine point processes. Laplace transforms and limit theorems have been obtained, including law of large numbers, central limit theorems and large deviations.","authors_text":"Lingjiong Zhu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-09-22T18:28:22Z","title":"Limit Theorems for a Cox-Ingersoll-Ross Process with Hawkes Jumps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.5625","kind":"arxiv","version":2},"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:d4a8b6fb30b3708045aa43bbce00a53ed051ec3d38e836f5e3ea084ec5f28716","target":"record","created_at":"2026-05-18T02:40:04Z","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":"f4ddfe8e199b426a42e6a0f0bb05b096e5cad03ef49d921f81be12b32f5b8c77","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-09-22T18:28:22Z","title_canon_sha256":"56ecd3f96b18752d7fc43f57a697f1718e67c1ff3a94e4f75d44c41982e4dc0c"},"schema_version":"1.0","source":{"id":"1309.5625","kind":"arxiv","version":2}},"canonical_sha256":"62fdc4845256aa53ac957f068d795f8532d8c1f746a6d1219d1f129691b2fde3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62fdc4845256aa53ac957f068d795f8532d8c1f746a6d1219d1f129691b2fde3","first_computed_at":"2026-05-18T02:40:04.057593Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:04.057593Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3kJtsKiloCiXpniz4L4KkU5kHpIv6GsFEWWakX1jLAcgX+4SXKls+WMhkGR8RAUhh/XS9TyUAgzXrg2AsdXCDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:04.058075Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.5625","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4a8b6fb30b3708045aa43bbce00a53ed051ec3d38e836f5e3ea084ec5f28716","sha256:56131d07015e366e0fdb1ef2fd0ec0fb8d4ca7d5027741a1ea848cbe351af1cc"],"state_sha256":"f86e441c69f267fdb72821908eb4a9e7670e5e2afc25d57193ee2586e8830a67"}