Bleaching a stem is a common method of cleaning the oxidation off a pipe. There have been quite a few posts about this of late, so you might want to search the forums. I'll give a quick synopsis
a. Split the bleach. You can go 1 part bleach to three parts water, 1:4, 1:2, etc; put Vaseline on the tenon and any stem stamps to protect them. Run a pipe cleaner through the stem and hook it over the side of your vessel for easy removal. When finished, run under cold water to halt the chemical reaction and remove any excess bleach. Sand smooth using increasingly higher grits. Polish.
b. Benefits: very fast, effective, kills some bacterial bodies
c. Downsides: Requires sanding to remove roughness caused by the de-oxidation process; may cause pitting in the vulcanite.
Many here use bleach. I do not. I prefer an hour long Oxyclean dip for a pre-soak and good ole' elbow grease with wet and dry sanding. Each has their preference; some methods work better for others. I guess it comes down to the method that is best/easiest for you. Do some searching around, you'll find plenty of answers, especially in recent threads.