ASTM A 480 "Standard Specification for General Requirements for Flat Rolled Stainless & Heat Resisting Steel Plate, Sheet & Strip" covers finish requirements in detail. Refer to this specification for more complete explanations of finishes for sheet, strip and plate product forms.
Also see NiDI publication 9 012 "Finishes for stainless steels"
FINISH FOR SHEET:
No. 1 Finish - Hot-rolled, annealed and descaled.
No. 2D Finish - Cold-rolled, dull finish.
No. 2B Finish - Cold-rolled, bright finish.
Bright Annealed Finish - Cold-rolled bright finish obtained by final anneal in controlled atmosphere furnace.
No. 3 Finish - Intermediate polished finish, one or both sides.
No. 4 Finish - General purpose polished finish, one or both sides.
No. 6 Finish - Dull satin finish, Tampico brushed one or both sides.
No. 7 Finish - High luster finish.
No. 8 Finish - Mirror finish.
TR Finish - Cold-worked to obtain specified properties.