The foul committed in basketball when a player lifts their pivot foot before dribbling is called a traveling violation. This rule is crucial as it ensures fair play by preventing players from gaining an unfair advantage through excessive movement without dribbling. When a player violates this rule, the referees typically call a turnover, granting possession of the ball to the opposing team. Understanding traveling and related fouls is essential for players, coaches, and fans to appreciate the game's intricacies.