1. A computing device comprising: an interface configured to interface and communicate with a dispersed or distributed storage network (DSN); memory that stores operational instructions; and a processing module operably coupled to the interface and to the memory, wherein the processing module, when operable within the computing device based on the operational instructions, is configured to: receive a first request for a data object from another computing device at or during a first time, wherein the data object is segmented into a plurality of data segments, wherein a data segment of the plurality of data segments is dispersed error encoded in accordance with dispersed error encoding parameters to produce a set of encoded data slices (EDSs) that is on pillar width, and wherein a decode threshold number of EDSs are needed to recover the data segment; for the data segment of the plurality of data segments and based on the first request for the data object, provide to the another computing device a first unique pillar combination of at least the decode threshold number of EDSs stored within a plurality of storage units (SUs) within the DSN; receive a second request for the data object from the another computing device at or during a second time that is different than the first time; and for the data segment of the plurality of data segments and based on the second request for the data object, provide to the another computing device a second unique pillar combination of the at least the decode threshold number of EDSs stored within the plurality of SUs within the DSN.