^new^: Psp2updatpup
Assuming you have a verified file, here is the safe method to use it for a manual system update on a stock (non-hacked) PS Vita:
use specific versions of this file to downgrade the Vita to "hackable" firmware versions like 3.60 or 3.65. emulator, users must install the PSP2UPDAT.PUP psp2updatpup