These are known comets. JPL Horizons tells us where each one was at the moment each SPHEREx image was taken; we found the images that caught it, cut small boxes out of them and measured the comet ourselves: where it really is, how fast it moves, how big its glowing head (coma) is, and its brightness at each image's own wavelength. Nothing here is a discovery.
where JPL predicts it+where we measured it
Following the comet
Brightness at each image's own wavelength
Every exposure (table)
How the comets were chosen
We started from all 4088 comets in the JPL Small-Body Database, computed where each one was at the mid time of every one of the 1.3 million public SPHEREx images (DR1 + QR3), and kept the images that really contain it (JPL Horizons positions). Then we read small boxes of the brightest predicted cases and kept the comets that are clearly seen.