The Greek word for the large jar in the original Pandora story is pithos.
Hesiod’s Works and Days uses the Greek noun pithos for the container associated with Pandora. A pithos was a large storage jar used in the ancient Greek world, often for commodities such as grain, oil, or wine. It was not the small hinged box imagined by many modern illustrations.
The “box” wording became standard in later European languages through translation and retelling. Erasmus helped popularize the Latin expression pyxis Pandorae, or “Pandora’s box,” even though the source object was a jar. The modern phrase is now so familiar that the material culture of the original myth is easy to overlook.
A krater was a mixing vessel, an amphora commonly had two handles and a narrower shape, and a kylix was a drinking cup. Those are genuine Greek vessel types, but they are not the container named in Hesiod’s Pandora story.