Which crime is defined by taking or keeping another's property valued under $1,000 without permission?

The crime defined by taking or keeping another's property valued under $1,000 without permission is indeed petty larceny. Petty larceny specifically refers to the unlawful taking of someone else's property, which is of low monetary value, hence typically involving items valued at less than a certain amount, such as $1,000 in this case.

This definition aligns with the general legal understanding of petty larceny, emphasizing the unauthorized nature of the act, which is a critical component. In many jurisdictions, this crime is treated as a misdemeanor, reflecting both its nature and the relatively low value of the property involved.

The other options pertain to different offenses: harassment involves unwanted behavior that annoys or threatens another person, trespass relates to unlawfully entering someone else's property, and disorderly conduct generally refers to behavior that disrupts public peace or order. Each of these definitions is distinct and does not encompass the unauthorized taking of property, which is the essence of petty larceny.