The Greek name of the storage jar in Hesiod’s Pandora myth is pithos.
A pithos was a large ceramic storage vessel used in the ancient Greek world. It could hold agricultural products and other supplies, and its scale makes it a more imposing object than the small box in familiar illustrations. The plural form is pithoi.
Hesiod’s use of this word is the reason historians and classicists often describe the story as “Pandora’s jar.” The English “box” developed through later translation history, especially the Latin rendering associated with Erasmus. Both expressions refer to the same myth, but only pithos reflects the Greek object named in the ancient account.
Other Greek vessel terms are not interchangeable. An amphora generally has two handles and a narrower neck, while a krater is a mixing vessel. A lekythos is a smaller oil container. Those distinctions make pithos the specific answer.