"Hath pegged" is an archaic phrase that means to have determined or set something in a fixed way. For modern usage, there are several synonyms that can be used in place of this phrase. "Established" is one such option, meaning to have founded or initiated something. "Decreed" works as well, indicating a formal declaration or proclamation. "Designated" implies a specific assignment or identification. "Prescribed" can also be used, referring to a specific order or directive. Ultimately, there are numerous words that can be substituted in place of "hath pegged" depending on the context and intended meaning of the sentence.