Super insulated box/room to store extreme heat possible?

Is it possible in 21st century Earth for someone to create a small super insulated box to store heat like an "anti-freezer" such as putting lava inside the box and the box not being hot to the touch because it is so insulated yet inside the box contains molten lava?

How small could this box be made and how much would it cost and what materials? I guess the ability to open this box and yet release the heat when desired would be the most difficult part.

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Super insulated box/room to store extreme heat possible?

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