There are various synonyms for the phrase "puts record." One way to express this could be to use the word "records," which is the singular form of the phrase. Other synonyms could include "documents," "notes," or "jots down." Another useful synonym could be to "chronicle" or "register" an event or information for future reference. Additionally, one could "catalogue" or "log" the information they wish to put on record. Depending on the context, words such as "memorialize," "archive," or "preserve" could also be fitting synonyms for "puts record." Ultimately, the most important thing is selecting a synonym that accurately conveys the intended meaning.