An uthan is an introductory composition usually played before launching the theka for the first time in a solo-recital. Given below is an uthan in teentaal.
Any piece of music repeated three times is a tihai. An example is given below. Because rests (ss) follow the phrase that is being repeated in the following tihai, it can be categorized as a damdar tihai (dam refers to a pause).
You can read this article for some simpler tihais in teentaal.