In substance, a crime is:

The correct choice defines a crime as an act or omission that is prohibited by law and incurs punishment. This definition encompasses a broad range of actions, both violent and non-violent, and highlights the legal aspect of criminality. It recognizes that not all crimes involve harm to individuals or property, but are instead defined by their prohibition under the law. Importantly, the requirement for a punishment implies a formal legal framework, ensuring that an action considered a crime is recognized by society and is subject to legal consequences.

Other options, while they touch on aspects of crime, do not encapsulate its full scope effectively. A violent act is certainly a crime, but not all crimes are violent. Similarly, a violation of one's property refers specifically to property crimes, leaving out many other crime categories such as white-collar crimes or personal offenses. Lastly, describing a crime as a public wrong captures some legal connotations but does not address the necessary legal framework and consequences that define criminal acts comprehensively. This makes the chosen answer the most complete and precise definition of what constitutes a crime.