A crankshaft has a rotational axis, about which the crankshaft can be rotated, and a crankpin journal for mounting a connecting rod eye of a connecting rod. A groove runs in the circumferential direction of the crankpin journal and is provided for the supply of lubricating oil in an outer surface of the crankpin journal. The groove extends only over a defined part length of the circumference of the crankpin journal. A crank arrangement includes a crankshaft of this type and a bearing shell which engages around the crankpin journal.