1. A method comprising: receiving a first data stream for constructing a first backup image at a first backup level for a data set; generating a first plurality of data objects from the first data stream, wherein generating the first plurality of data objects comprises, indicating, in each of the names of the first plurality of data objects, the first backup level, wherein indication of the first backup level indicates whether the first backup level is a baseline backup level or an incremental backup level, for each of the first plurality of data objects, determining a first stream sequencing identifier for the data object that indicates order of the data object with respect to the other data objects in the first plurality of data objects in accordance with serialization of the first data stream and indicating in the name of the data object the first stream sequencing identifier for the data object; and storing the first plurality of data objects in a data container hosted in one or more resources of a cloud service provider, wherein an identifier of the data container is based, at least in part, on an identifier of the data set.