{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:UKWKUADASGX4GP3XEHGC5MX7LX","short_pith_number":"pith:UKWKUADA","canonical_record":{"source":{"id":"1901.05547","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-01-16T22:17:14Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"7ee262340e99563796a8784294b52fefd6eb91a953a2c1a48abcee56b479f86a","abstract_canon_sha256":"84bfc636d15dff19fecf15e44531e314a8300b998fe3515f928d6a9c2167d7b8"},"schema_version":"1.0"},"canonical_sha256":"a2acaa006091afc33f7721cc2eb2ff5de123aed7a2377c9e9a11b6bc6ab0eb76","source":{"kind":"arxiv","id":"1901.05547","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.05547","created_at":"2026-05-17T23:56:06Z"},{"alias_kind":"arxiv_version","alias_value":"1901.05547v1","created_at":"2026-05-17T23:56:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.05547","created_at":"2026-05-17T23:56:06Z"},{"alias_kind":"pith_short_12","alias_value":"UKWKUADASGX4","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UKWKUADASGX4GP3X","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UKWKUADA","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:UKWKUADASGX4GP3XEHGC5MX7LX","target":"record","payload":{"canonical_record":{"source":{"id":"1901.05547","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-01-16T22:17:14Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"7ee262340e99563796a8784294b52fefd6eb91a953a2c1a48abcee56b479f86a","abstract_canon_sha256":"84bfc636d15dff19fecf15e44531e314a8300b998fe3515f928d6a9c2167d7b8"},"schema_version":"1.0"},"canonical_sha256":"a2acaa006091afc33f7721cc2eb2ff5de123aed7a2377c9e9a11b6bc6ab0eb76","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:06.833830Z","signature_b64":"wIsdX6CBM85fQIEe0ofN89lmBRYw/NqDRY23nifz7Yrymf4p4XWznGwrTnDbQgEPCgLoDRslaNdGgxZ6xURSCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2acaa006091afc33f7721cc2eb2ff5de123aed7a2377c9e9a11b6bc6ab0eb76","last_reissued_at":"2026-05-17T23:56:06.833208Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:06.833208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.05547","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":"2026-05-17T23:56:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pS4NZmrbXRfkWHXKPCVhj1o8SNO1Z7dL5xRyJccs1vOt7lQG1JiL6glkhTt8otyFr2oaeNu7hzyOmR31d1PGCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:44:33.839178Z"},"content_sha256":"51832fc0db1fb3672d110af0c74a2509c2ed985890c4bc3a9327eaea705556eb","schema_version":"1.0","event_id":"sha256:51832fc0db1fb3672d110af0c74a2509c2ed985890c4bc3a9327eaea705556eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:UKWKUADASGX4GP3XEHGC5MX7LX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonparametric estimation for fractional diffusion processes with random effects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"C. Fuchs, H. El Maroufy, M. El Omari","submitted_at":"2019-01-16T22:17:14Z","abstract_excerpt":"We propose a nonparametric estimation for a class of fractional stochastic differential equations (FSDE) with random effects. We precisely consider general linear fractional stochastic differential equations with drift depending on random effects and non-random diffusion. We build ordinary kernel estimators and histogram estimators and study their Lp-risk (p =1 or 2), when H>1/2. Asymptotic results are evaluated as both T = T(N) and N tend to infinity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.05547","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":"2026-05-17T23:56:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H5zvQrIULDHnQCAcHW/XTXLCwQ0UpskqbxScwjbeualLA6hnOgpg9bOFbY3VIHNDbW7AYmZ8A7NiZDZXFzSaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:44:33.839572Z"},"content_sha256":"3f3d43588337df3ad87a97ef3a93b8c023e965234afb120fb92244a48ddb8658","schema_version":"1.0","event_id":"sha256:3f3d43588337df3ad87a97ef3a93b8c023e965234afb120fb92244a48ddb8658"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UKWKUADASGX4GP3XEHGC5MX7LX/bundle.json","state_url":"https://pith.science/pith/UKWKUADASGX4GP3XEHGC5MX7LX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UKWKUADASGX4GP3XEHGC5MX7LX/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":"2026-05-27T04:44:33Z","links":{"resolver":"https://pith.science/pith/UKWKUADASGX4GP3XEHGC5MX7LX","bundle":"https://pith.science/pith/UKWKUADASGX4GP3XEHGC5MX7LX/bundle.json","state":"https://pith.science/pith/UKWKUADASGX4GP3XEHGC5MX7LX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UKWKUADASGX4GP3XEHGC5MX7LX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:UKWKUADASGX4GP3XEHGC5MX7LX","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":"84bfc636d15dff19fecf15e44531e314a8300b998fe3515f928d6a9c2167d7b8","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-01-16T22:17:14Z","title_canon_sha256":"7ee262340e99563796a8784294b52fefd6eb91a953a2c1a48abcee56b479f86a"},"schema_version":"1.0","source":{"id":"1901.05547","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.05547","created_at":"2026-05-17T23:56:06Z"},{"alias_kind":"arxiv_version","alias_value":"1901.05547v1","created_at":"2026-05-17T23:56:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.05547","created_at":"2026-05-17T23:56:06Z"},{"alias_kind":"pith_short_12","alias_value":"UKWKUADASGX4","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UKWKUADASGX4GP3X","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UKWKUADA","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:3f3d43588337df3ad87a97ef3a93b8c023e965234afb120fb92244a48ddb8658","target":"graph","created_at":"2026-05-17T23:56:06Z","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":"We propose a nonparametric estimation for a class of fractional stochastic differential equations (FSDE) with random effects. We precisely consider general linear fractional stochastic differential equations with drift depending on random effects and non-random diffusion. We build ordinary kernel estimators and histogram estimators and study their Lp-risk (p =1 or 2), when H>1/2. Asymptotic results are evaluated as both T = T(N) and N tend to infinity.","authors_text":"C. Fuchs, H. El Maroufy, M. El Omari","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-01-16T22:17:14Z","title":"Nonparametric estimation for fractional diffusion processes with random effects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.05547","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":"sha256:51832fc0db1fb3672d110af0c74a2509c2ed985890c4bc3a9327eaea705556eb","target":"record","created_at":"2026-05-17T23:56:06Z","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":"84bfc636d15dff19fecf15e44531e314a8300b998fe3515f928d6a9c2167d7b8","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-01-16T22:17:14Z","title_canon_sha256":"7ee262340e99563796a8784294b52fefd6eb91a953a2c1a48abcee56b479f86a"},"schema_version":"1.0","source":{"id":"1901.05547","kind":"arxiv","version":1}},"canonical_sha256":"a2acaa006091afc33f7721cc2eb2ff5de123aed7a2377c9e9a11b6bc6ab0eb76","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2acaa006091afc33f7721cc2eb2ff5de123aed7a2377c9e9a11b6bc6ab0eb76","first_computed_at":"2026-05-17T23:56:06.833208Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:06.833208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wIsdX6CBM85fQIEe0ofN89lmBRYw/NqDRY23nifz7Yrymf4p4XWznGwrTnDbQgEPCgLoDRslaNdGgxZ6xURSCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:06.833830Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.05547","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51832fc0db1fb3672d110af0c74a2509c2ed985890c4bc3a9327eaea705556eb","sha256:3f3d43588337df3ad87a97ef3a93b8c023e965234afb120fb92244a48ddb8658"],"state_sha256":"b6e80a29318d44c921949b749dec4212a44196afa9966e00dd8301f5f34526d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BgW10mBGn5v3an/ICzUrry8Iq1JW/8vaqbn18XfJzf7EhZJgSGbvmq+FGWaGxo+7cLbZ1PNL7QsVQepMi0ACAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T04:44:33.841839Z","bundle_sha256":"99c8a13b6e708e09a7c16fdbf7b4b836d4f488df5e008d1c6175eafe3e1eda19"}}