Like most (all?) PoS coins, PIVX has no predetermined max supply. However, two things: One, all fees on the network are permanently burned, meaning that as the network is used more, inflation will decrease (and, since fees for zPiv transactions are higher, inflation will decrease even more as private transactions become more common). In theory, PIVX could become deflationary with sufficient network usage. And two, while the inflation rate assumes that 1 Piv per block is allocated to the treasury, only the amount actually needed by the treasury in a given month is created (i.e., usually much less than 1 Piv per block), which reduces inflation even more.

So: PIVX has no max supply, but it has low inflation and it's possible for the supply to actually decrease under some circumstances (high network usage + low treasury allocation). Also, @CarlOrff, nice work with Carmina Burana.