The supernova remnant hypothesis for the origin of Galactic cosmic rays has
passed several tests, but the firm identification of a supernova remnant
pevatron, considered to be a decisive step to prove the hypothesis, is still
missing.

While a lot of hope has been placed in next-generation instruments
operating in the multi-TeV range, it is possible that current gamma-ray
instruments, operating in the TeV range, could pinpoint these objects or, most
likely, identify a number of promising targets for instruments of next
generation. Starting from the assumption that supernova remnants are indeed the sources of Galactic cosmic rays, and therefore must be pevatrons for some
fraction of their lifetime, we discuss the characteristics of the expected pevatrons in the TeV sky.