These are also known as grass pinks. I have heard these or a related species is from where the domestic carnation was developed.
Petrorhagia is a small genus of annual and perennial plants of the pink or carnation family, mostly native to the Mediterranean region. The genus is often referred to as Tunica, which is an obsolete synonym. It is low-growing with wiry stems and narrow, grass-like leaves. The flowers are small, in clusters similar to members of the genus Dianthus, in pink, lilac, or white. Petrorhagia saxifraga is the tunic flower or coat flower, similar to Baby's Breath,...