{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:Y6VY3KTOREUXYK4D2ULVTZ4GFG","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":"eba5aa0717ddc7c166a64702b50f207f4b949926d6f79a4831e4a9149f237467","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-12-08T05:58:24Z","title_canon_sha256":"0513350441df4d88ce3299ccb5802664c3ee09fb7d998fe125096b14439d86aa"},"schema_version":"1.0","source":{"id":"1612.02536","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.02536","created_at":"2026-05-18T00:11:19Z"},{"alias_kind":"arxiv_version","alias_value":"1612.02536v2","created_at":"2026-05-18T00:11:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.02536","created_at":"2026-05-18T00:11:19Z"},{"alias_kind":"pith_short_12","alias_value":"Y6VY3KTOREUX","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"Y6VY3KTOREUXYK4D","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"Y6VY3KTO","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:5d05abf52cda081949d07ba29b163b3e357cd1325b72f65dc8eda72c2959f56f","target":"graph","created_at":"2026-05-18T00:11:19Z","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 paper is split in two parts: in the first part, we construct the exact likelihood for a discretely observed rough differential equation, driven by a piecewise linear path. In the second part, we use this likelihood in order to construct an approximation of the likelihood for a discretely observed differential equation driven by a general class of rough paths. Finally, we study the behaviour of the approximate likelihood when the sampling frequency tends to infinity.","authors_text":"Anastasia Papavasiliou, Kasia B. Taylor","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-12-08T05:58:24Z","title":"Approximate Likelihood Construction for Rough Differential Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.02536","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":"sha256:4e24d96e0dd08d0ff3f389d0f9489ace2820b686a8497beae6500f2371dcd103","target":"record","created_at":"2026-05-18T00:11:19Z","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":"eba5aa0717ddc7c166a64702b50f207f4b949926d6f79a4831e4a9149f237467","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-12-08T05:58:24Z","title_canon_sha256":"0513350441df4d88ce3299ccb5802664c3ee09fb7d998fe125096b14439d86aa"},"schema_version":"1.0","source":{"id":"1612.02536","kind":"arxiv","version":2}},"canonical_sha256":"c7ab8daa6e89297c2b83d51759e78629b737453193eafa75d18b403e0e370af1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7ab8daa6e89297c2b83d51759e78629b737453193eafa75d18b403e0e370af1","first_computed_at":"2026-05-18T00:11:19.110331Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:19.110331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"13brhiv9Z1GPgBFtcKEuk8KD/36vqf+jQlCeLJlAp4o8Gcgr1cZq8cHAJE85kGUjA+544jSQP7bjSKuj0WoECQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:19.111021Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.02536","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e24d96e0dd08d0ff3f389d0f9489ace2820b686a8497beae6500f2371dcd103","sha256:5d05abf52cda081949d07ba29b163b3e357cd1325b72f65dc8eda72c2959f56f"],"state_sha256":"f7bda7343f2b0110baee7e1f5c376a77b7a3c273508e3782051708f3e6e8a851"}