Originally Posted by dos1
There's no 5.3.2 for Paperwhite, and there's no known jailbreak for Touch with 5.3.2 yet.
You can "debrick" the K5 touch 5.3.2 to earlier firmware, jailbreak that, then install the 5.3.2 update.
Or you can install diags+ssh, run diags ssh, then mount the 5.3.2 main partition and manually add the jailbreak key to it.
See the simple debricking sticky thread for details.
Both methods require USB Downloader mode, which is not yet available on the Paperwhite.