SJT is a natural ideal strictly contained within the ideal of K-trivial degrees. We have been hearing about a number of results connecting the K-trivials with notions of randomness. For example, the covering problem which states that every K-trivial is computable from a difference random. Many of these results have analogs for SJT; for example, every SJT is computable from a Demuth random. I will present SJT and its parallels with K-triviality.