The fine stones that are doing the finish work will also imbed their abrasive into the cast iron walls of the cylinder. After picking up your cylinder from getting a fresh bore job, always wash your cylinder in hot soapy water. Washing in a solvent tank won't get the abrasives out! Dawn dishwashing liquid works great for the final cleaning of a freshly bored and honed cylinder. After you clean and rinse the cylinder, dry it quickly and then get a clean white paper towel with oil on it and use it to lubricate the bore. If the towel comes out of the cylinder, when you're done lubricating it, with any traces of black or gray then the cylinder needs to be cleaned yet again. When properly cleaned the white paper towel with the oil on it will look the same color on removal as it did when you put it into the bore.
You are now ready to install your new piston into the cylinder and get back to riding!