1. A method for execution by one or more computers associated with a dispersed data storage network, the method comprises: identifying a data slice requiring rebuilding to produce an identified data slice, wherein the identified data slice is one of a plurality of data slices that constitute a data segment and wherein each of the plurality of data slices is assigned for storage by a corresponding one of a plurality of data slice servers; retrieving at least m number of data slices from at least m number of the plurality of data slice servers, wherein m data slices of the plurality of data slices enable reconstruction of the data segment, and wherein the at least m number of data slices does not include the identified data slice; reconstructing the identified data slice from the at least m number of data slices to produce a rebuilt data slice; and writing the rebuilt data slice to the corresponding one of the plurality of data slice servers or to a new slice server.