Is Java SplittableRandom.split() threadsafe?

I am working on a web application where I need to generate a random number for each request. The request will hit a specific bucket from a set of buckets. The random numbers generated for a given bucket should have a uniform distribution. I am planning to use a map which has a SplittableRandom instances against bucket ids like this

buketId -> SplittableRandom

To entertain a web-request I first check the bucketId specified in the request. Then I select the corresponding SplittableRandom instance and call split() on it. Under heavy load split() method will be called on the same instance by multiple threads. Is this approach thread safe?