Towards the end of July, tree peonies usually start to develop brown stems as they start becoming woody and showing their true nature. Here are a few closeups just to show how it looks. Once tree peonies darken up, they are usually set to survive as long as they are planted deeply enough to develop their own roots.
This one appears to be solid already. Like trees, their stems and branches tend to harden off completely before they ever expand in diameter.