{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DGTJUWEVFR35KOCA27PQNBEJ7R","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":"468e66efe9666de8af65089298786d6c3099aab2f098500c6cecbcdbd37d2b94","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-02-02T16:53:38Z","title_canon_sha256":"3557e0b8a1b45ab6eb3131a706903375fc229893dbe191d7c76cbf972ed3ed51"},"schema_version":"1.0","source":{"id":"1802.01456","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.01456","created_at":"2026-05-18T00:18:52Z"},{"alias_kind":"arxiv_version","alias_value":"1802.01456v2","created_at":"2026-05-18T00:18:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.01456","created_at":"2026-05-18T00:18:52Z"},{"alias_kind":"pith_short_12","alias_value":"DGTJUWEVFR35","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DGTJUWEVFR35KOCA","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DGTJUWEV","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:815c1a3d77833c4ee3eb986fe134a529bb478cf18703bf4147c8aefd13d389c1","target":"graph","created_at":"2026-05-18T00:18:52Z","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":"This article extends a strong averaging principle for L\\'evy diffusions which live on the leaves of a foliated manifold subject to small transversal L\\'evy type perturbation to the case of non-compact leaves. The main result states that the existence of $p$-th moments of the foliated L\\'evy diffusion for $p\\geq 2$ and an ergodic convergence of its coefficients in $L^p$ implies the strong $L^p$ convergence of the fast perturbed motion on the time scale $t/\\epsilon$ to the system driven by the averaged coefficients. In order to compensate the non-compactness of the leaves we use an estimate of t","authors_text":"Michael A. H\\\"ogele, Paulo-Henrique da Costa, Paulo R. Ruffino","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-02-02T16:53:38Z","title":"A strong averaging principle for L\\'evy diffusions in foliated spaces with unbounded leaves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01456","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":"sha256:3b8ccdd94f88199538778bc31328a22336a331bdf553e7ac28dda6b6bcb92836","target":"record","created_at":"2026-05-18T00:18:52Z","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":"468e66efe9666de8af65089298786d6c3099aab2f098500c6cecbcdbd37d2b94","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-02-02T16:53:38Z","title_canon_sha256":"3557e0b8a1b45ab6eb3131a706903375fc229893dbe191d7c76cbf972ed3ed51"},"schema_version":"1.0","source":{"id":"1802.01456","kind":"arxiv","version":2}},"canonical_sha256":"19a69a58952c77d53840d7df068489fc7edbf53992c942b0fe409376f1d5a28d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19a69a58952c77d53840d7df068489fc7edbf53992c942b0fe409376f1d5a28d","first_computed_at":"2026-05-18T00:18:52.102655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:52.102655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L/mhF9NFEOqfN6qrDdhhedZemonZmoKUIdNvikPmHOwFYgPdhB4mQelSB3hCb1/jYRpec3j5j/R3MSxvFqVtBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:52.103163Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.01456","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b8ccdd94f88199538778bc31328a22336a331bdf553e7ac28dda6b6bcb92836","sha256:815c1a3d77833c4ee3eb986fe134a529bb478cf18703bf4147c8aefd13d389c1"],"state_sha256":"744aeb85563e8cfc4e9e89d71d245a2a8afb1b25ec270f15780fa853b1399a4d"}