I found this on the dry dunes near the Utah Lake. The top of the plant probably shows a bud of the future flower. But the most characteristic feature - dry fruits - is seen on the third photo. I went through the local list of plants (around 3000 species) and still don't have a clue what this could be. I am not going to return to this place any time soon, so if someone could help me to narrow down my list, I would be happy.