Yes, your teeth are unique, just like your fingerprints. No one else can have identical ones. This is why dental records are often used to identify human remains. Even the mouth, in general terms, allows us to identify phenotypic data such as sex, age, height, origin, lifestyle, among others.
The hardness of enamel means that, in fires, tsunamis, etc., teeth are one of the few areas of the body that remain unchanged.
In these circumstances, dental treatments become a fundamental tool for identification, as they allow forensic test results to be compared with the patient's dental history (root canals, orthodontics, implants).
In this analysis of the remains, forensic experts take into account aspects such as the state of the mouth or the treatments received to help determine the socioeconomic status (statistically, people with greater purchasing power tend to visit the dentist more frequently and invest in dental aesthetic treatments), the shape and thickness of the jaw (fundamental to determine, for example, the sex), the size and shape of the tooth (to determine the age), whether the pieces are worn (due to age or other reasons) or yellowed (whether the person is a smoker or not), whether the person suffered from bruxism and teeth grinding (among other things, depending on the level of wear), whether the person suffered from anorexia (which substantially affects oral health).