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Our approach is based on decoupling inequalities for tangent sequences and reduces the construction of the stochastic integral essentially to the deterministic integration theory for infinitely divisible random measures developed by Rajput and Rosiński.","weakest_assumption":"The construction relies on the applicability of decoupling inequalities for tangent sequences to the predictable integrands and the Lévy basis under consideration, as stated in the abstract's description of the approach."}},"verdict_id":"ca781c05-67a8-4adc-a5ca-d38b72e3004b"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:dba2b3304a953ff1862059c1db6ace9c40d145ad8a7ba6c3c32d1a2376cda0a4","target":"record","created_at":"2026-05-20T00:01:51Z","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":"3e6e4f74c3a6c65d2bef0d8e462967ad9a067e08a230584fbb42a3da5bfd688b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2026-05-15T15:34:48Z","title_canon_sha256":"c08a9879c60b923082e93c6a776a2bb8f12f6c90637738cb0188a50fac06b2fd"},"schema_version":"1.0","source":{"id":"2605.16072","kind":"arxiv","version":1}},"canonical_sha256":"a622b0bcaf921d78eaccc930b8c4674d982495dbffee90e9e98c248b83af54c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a622b0bcaf921d78eaccc930b8c4674d982495dbffee90e9e98c248b83af54c8","first_computed_at":"2026-05-20T00:01:51.454150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:01:51.454150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H2Fe5OW0pdgiQYOF8LWon7d2QFpfX9bK0bw4NMVjFSd1qJz/mL0CKki3icTH0zjjGjygMvMVK4j7OP8Lf02YCA==","signature_status":"signed_v1","signed_at":"2026-05-20T00:01:51.454819Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.16072","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dba2b3304a953ff1862059c1db6ace9c40d145ad8a7ba6c3c32d1a2376cda0a4","sha256:9e9b110f5c49c3ec3a38510433c5f84597d03c428eb33bf951d89ad812a1f850"],"state_sha256":"7bc38eaa13024a8d2ebe2f391eb529e14971e61ca135245b92ebf8da149f4ed0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vtbKNs3gtTtSLnPCaqED8qyKUtiOreMoTJ//i9zbmPU6akJCME3HL0yDHVvoOpmS/Zza1/9qPFEfGCVK0NcqDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T22:30:02.682558Z","bundle_sha256":"28c76882747cc7a2421c07d1f47866a1adec7c44d1a75b4910a6fb1ef85836d6"}}