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We establish existence and uniqueness of a solution along with Lipschitz continuity provided the reflecting operator has a spectral radius less than 1.","weakest_assumption":"The network growth and rate conditions allow the reflection operator to satisfy a spectral radius strictly less than 1, which is required for the Lipschitz property of the infinite-dimensional Skorokhod mapping and for the convergence arguments via the intermediate process and martingale estimates."}},"verdict_id":"54599425-f5b2-4c07-bf64-c678ee3a6de5"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:47e2b6b2956816549e536b84a4d5bfe8a8a8ffe8ae48cf9c76257e7f11e8d92d","target":"record","created_at":"2026-05-20T00:03:27Z","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":"273aa0a1d8b755e9af524b091736969e630d0fe83458b1a3267ebfcb217ca4ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-16T08:08:33Z","title_canon_sha256":"99fc3643d1567d6d847ffa9c0f5d963dee3dc990550fc175a56138cdf4ca6ebb"},"schema_version":"1.0","source":{"id":"2605.16868","kind":"arxiv","version":1}},"canonical_sha256":"1f63914a3ec5db271158b61945996a2264f565f7ddf64258d75f540e0e0d0c78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f63914a3ec5db271158b61945996a2264f565f7ddf64258d75f540e0e0d0c78","first_computed_at":"2026-05-20T00:03:27.320367Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:03:27.320367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"otnsHhxyEL/Huz4vehRTcv0yLtxcS/5aYl1pSdt1cqpbphc2OpSxektVRbmhsE4gPFcaf/btsv2Te8eYYMGoBg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:03:27.321053Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.16868","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47e2b6b2956816549e536b84a4d5bfe8a8a8ffe8ae48cf9c76257e7f11e8d92d","sha256:bf33dae3858f82475e624920edabad851333976411346e7ac565610a35667835"],"state_sha256":"3014c9d82f4c3a85eb2bd7ea5554600c0bc4c32dc9edc83344001d06270d90ef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z9dLY6HDegHs9ic4/9L3FBO9UXK0uhmlrfP/5tAd+BhuOaavyNme1Od9qY8JnJGzhDuy809ncFoXe3IG+DUYBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T02:07:54.439300Z","bundle_sha256":"9e3bffda40eeace9583a469f0be48cc12682f9ba514711f71c9ffbbd68369fef"}}