{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:Y6VY3KTOREUXYK4D2ULVTZ4GFG","short_pith_number":"pith:Y6VY3KTO","schema_version":"1.0","canonical_sha256":"c7ab8daa6e89297c2b83d51759e78629b737453193eafa75d18b403e0e370af1","source":{"kind":"arxiv","id":"1612.02536","version":2},"attestation_state":"computed","paper":{"title":"Approximate Likelihood Construction for Rough Differential Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Anastasia Papavasiliou, Kasia B. Taylor","submitted_at":"2016-12-08T05:58:24Z","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."},"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":"1612.02536","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-12-08T05:58:24Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"0513350441df4d88ce3299ccb5802664c3ee09fb7d998fe125096b14439d86aa","abstract_canon_sha256":"eba5aa0717ddc7c166a64702b50f207f4b949926d6f79a4831e4a9149f237467"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:19.111021Z","signature_b64":"13brhiv9Z1GPgBFtcKEuk8KD/36vqf+jQlCeLJlAp4o8Gcgr1cZq8cHAJE85kGUjA+544jSQP7bjSKuj0WoECQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7ab8daa6e89297c2b83d51759e78629b737453193eafa75d18b403e0e370af1","last_reissued_at":"2026-05-18T00:11:19.110331Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:19.110331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Approximate Likelihood Construction for Rough Differential Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Anastasia Papavasiliou, Kasia B. Taylor","submitted_at":"2016-12-08T05:58:24Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.02536","kind":"arxiv","version":2},"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":"1612.02536","created_at":"2026-05-18T00:11:19.110453+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.02536v2","created_at":"2026-05-18T00:11:19.110453+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.02536","created_at":"2026-05-18T00:11:19.110453+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y6VY3KTOREUX","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y6VY3KTOREUXYK4D","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y6VY3KTO","created_at":"2026-05-18T12:30:53.716459+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/Y6VY3KTOREUXYK4D2ULVTZ4GFG","json":"https://pith.science/pith/Y6VY3KTOREUXYK4D2ULVTZ4GFG.json","graph_json":"https://pith.science/api/pith-number/Y6VY3KTOREUXYK4D2ULVTZ4GFG/graph.json","events_json":"https://pith.science/api/pith-number/Y6VY3KTOREUXYK4D2ULVTZ4GFG/events.json","paper":"https://pith.science/paper/Y6VY3KTO"},"agent_actions":{"view_html":"https://pith.science/pith/Y6VY3KTOREUXYK4D2ULVTZ4GFG","download_json":"https://pith.science/pith/Y6VY3KTOREUXYK4D2ULVTZ4GFG.json","view_paper":"https://pith.science/paper/Y6VY3KTO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.02536&json=true","fetch_graph":"https://pith.science/api/pith-number/Y6VY3KTOREUXYK4D2ULVTZ4GFG/graph.json","fetch_events":"https://pith.science/api/pith-number/Y6VY3KTOREUXYK4D2ULVTZ4GFG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y6VY3KTOREUXYK4D2ULVTZ4GFG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y6VY3KTOREUXYK4D2ULVTZ4GFG/action/storage_attestation","attest_author":"https://pith.science/pith/Y6VY3KTOREUXYK4D2ULVTZ4GFG/action/author_attestation","sign_citation":"https://pith.science/pith/Y6VY3KTOREUXYK4D2ULVTZ4GFG/action/citation_signature","submit_replication":"https://pith.science/pith/Y6VY3KTOREUXYK4D2ULVTZ4GFG/action/replication_record"}},"created_at":"2026-05-18T00:11:19.110453+00:00","updated_at":"2026-05-18T00:11:19.110453+00:00"}