Cosmological measurements were expected to definitively determine the overall neutrino mass scale. With data from the dark energy spectroscopic instrument (DESI), we are in the era of precision where such a determination should be possible. Yet, current data is not only consistent with zero overall mass, it is excluding all of the physical neutrino mass parameter space consistent with neutrino oscillation data. In this talk, I will review what we know about cosmic neutrinos from data and how we know it. I will then discuss the status of this peculiar situation with the mass and what might explain it, including beyond the Standard Model physics.