"Pitch" can often have the meaning of "throw." In the game of baseball, the player who throws the ball is "the pitcher." We say he "pitches" the ball. And the act itself, the noun form, is "a pitch."
"Pitch" carries the idea of throwing something hard, strongly, with energy.
The word does not come from farming, but pitching hay is a common farming chore. Hay is dried grass used to feed cattle. Large amounts need to be moved. "Pitch" is the customary word. The tool used for the job is "pitchfork," and it looks like a giant fork that is as big as a shovel.