{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:M6VT4QV32Z5CJCF6LXNTEZXD6P","short_pith_number":"pith:M6VT4QV3","schema_version":"1.0","canonical_sha256":"67ab3e42bbd67a2488be5ddb3266e3f3d95e9da81d08f6873ae0919f7b7c64f9","source":{"kind":"arxiv","id":"1108.2431","version":3},"attestation_state":"computed","paper":{"title":"Process-Level Large Deviations for Nonlinear Hawkes Point Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Lingjiong Zhu","submitted_at":"2011-08-11T15:35:42Z","abstract_excerpt":"In this paper, we prove a process-level, also known as level-3 large deviation principle for a very general class of simple point processes, i.e. nonlinear Hawkes process, with a rate function given by the process-level entropy, which has an explicit formula."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1108.2431","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-08-11T15:35:42Z","cross_cats_sorted":[],"title_canon_sha256":"f4981d90630892958ecb58553560000472f489a53afff2042265ba9f1ca1dd61","abstract_canon_sha256":"69f87785f9446d11d77812af88e5e47ed00049b64d8f3bc4a48ef5962d2ba12c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:04.141301Z","signature_b64":"pd46Ku0TFkL2/PcdjS88OZuVcF4E7vITpZ9UXQNuzOwXWUnau9U3tE0LAYj5bJQ5Omq1KurIaKPyRO+DyqiPAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67ab3e42bbd67a2488be5ddb3266e3f3d95e9da81d08f6873ae0919f7b7c64f9","last_reissued_at":"2026-05-18T02:40:04.140857Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:04.140857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Process-Level Large Deviations for Nonlinear Hawkes Point Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Lingjiong Zhu","submitted_at":"2011-08-11T15:35:42Z","abstract_excerpt":"In this paper, we prove a process-level, also known as level-3 large deviation principle for a very general class of simple point processes, i.e. nonlinear Hawkes process, with a rate function given by the process-level entropy, which has an explicit formula."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.2431","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1108.2431","created_at":"2026-05-18T02:40:04.140917+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.2431v3","created_at":"2026-05-18T02:40:04.140917+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.2431","created_at":"2026-05-18T02:40:04.140917+00:00"},{"alias_kind":"pith_short_12","alias_value":"M6VT4QV32Z5C","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"M6VT4QV32Z5CJCF6","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"M6VT4QV3","created_at":"2026-05-18T12:26:34.985390+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/M6VT4QV32Z5CJCF6LXNTEZXD6P","json":"https://pith.science/pith/M6VT4QV32Z5CJCF6LXNTEZXD6P.json","graph_json":"https://pith.science/api/pith-number/M6VT4QV32Z5CJCF6LXNTEZXD6P/graph.json","events_json":"https://pith.science/api/pith-number/M6VT4QV32Z5CJCF6LXNTEZXD6P/events.json","paper":"https://pith.science/paper/M6VT4QV3"},"agent_actions":{"view_html":"https://pith.science/pith/M6VT4QV32Z5CJCF6LXNTEZXD6P","download_json":"https://pith.science/pith/M6VT4QV32Z5CJCF6LXNTEZXD6P.json","view_paper":"https://pith.science/paper/M6VT4QV3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.2431&json=true","fetch_graph":"https://pith.science/api/pith-number/M6VT4QV32Z5CJCF6LXNTEZXD6P/graph.json","fetch_events":"https://pith.science/api/pith-number/M6VT4QV32Z5CJCF6LXNTEZXD6P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M6VT4QV32Z5CJCF6LXNTEZXD6P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M6VT4QV32Z5CJCF6LXNTEZXD6P/action/storage_attestation","attest_author":"https://pith.science/pith/M6VT4QV32Z5CJCF6LXNTEZXD6P/action/author_attestation","sign_citation":"https://pith.science/pith/M6VT4QV32Z5CJCF6LXNTEZXD6P/action/citation_signature","submit_replication":"https://pith.science/pith/M6VT4QV32Z5CJCF6LXNTEZXD6P/action/replication_record"}},"created_at":"2026-05-18T02:40:04.140917+00:00","updated_at":"2026-05-18T02:40:04.140917+00:00"}