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My best guess is "man putting his hand on his head" but I know there's something less gothic than that.


He is resting his head in his hand.

From The J. Paul Getty Museum

Woman resting her head in her hand

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That's called propping.

Prop (verb): [with object and adverbial of place] Support or keep in position.

Example: She propped her chin in the palm of her right hand.

— Lexico

In your picture, he has propped up his head on his hand.

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