If you are asking about the format of calligraphy inscriptions, it depends on whether it is brush calligraphy or hard pen calligraphy. For brush calligraphy, the traditional format is generally used. Signature can have a deposit. Only the next paragraph is commonly used, and the format is: time (generally not Gregorian calendar)+(%place)+author+(respect) book, such as "Xin Chou Xia Yue respects the book in Gufengtang XX". In traditional calligraphy, dates are marked by years, and months are marked by lunar calendar, not specific to a certain day.
Hard-pen calligraphy, if arranged horizontally, can be in a modern format: 202 1 year x month x day XXX volumes. If it is vertical, it should also be in the traditional format.