As mentioned in the wikipedia on cronspecs, Jenkins supports a new field value 'H' (or 'H/15', etc.) which is used to specify a random stable offset within the schedule. Jenkins hashes (hence the 'H') the job name to to allow you to give the same schedule to multiple jobs without running into the thundering herd problem.
In order to support this, the API would need to change to allow passing in a job name to use for hashing.
This would make it easier to schedule recurring jobs on kubernetes.