The olivocerebellar tract, also known as olivocerebellar fibers, are neural fibers which originate at the olivary nucleus and pass out through the hilum

Hilum (anatomy)

In human anatomy, the hilum is a depression or fissure where structures such as blood vessels and nerves enter an organ.-Examples of hila:* Hilum of kidney, admits the renal artery, vein, ureter, and nerves...

 and decussate with those from the opposite olive in the raphé, then as internal arcuate fibers

Internal arcuate fibers

Internal arcuate fibers are the axons of second-order neurons contained within the gracile and cuneate nuclei of the medulla oblongata.These fibers cross from one side of the medulla to the other to form the medial lemniscus....

 they pass partly through and partly around the opposite olive and enter the inferior peduncle to be distributed to the cerebellar hemisphere

Cerebellar hemisphere

The cerebellum consists of three parts, a median and two lateral, which are continuous with each other, and are substantially the same in structure. The median portion is constricted, and is called the vermis, from its annulated appearance which it owes to the transverse ridges and furrows upon it;...

of the opposite side from which they arise.

They terminate directly on Purkinje cells as the climbing fiber input system.

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