An apparatus having a nonvolatile memory and a controller. The memory stores information in multiple pages. The information includes data units and headers. Each data unit is associated with a respective identifier in an address space of the apparatus and a respective location in the memory, has a respective header having the respective identifier, and is associated with a respective time stamp. Multiple headers include ones of the time stamps. The controller is configured to (i) read information stored in the pages, (ii) determine an order in which the data units were written based on the time stamps, (iii) locate based on the order (a) each last-written occurrence of the respective identifiers and (b) the respective locations of the data units associated with the last-written occurrences, and (iv) rebuild a map of the controller according to the respective locations of each last-written occurrence of each respective identifier.