Pineland Scalypink (Stipulicida setacea, Caryophyllaceae)
W.K. Taylor's The Guide to Florida Wildflowers calls it Wire Plant. It's a small, nondescript plant with tiny white flowers, easily overlooked. It definitely has a wiry look about it. Taylor describes it as having minute, white, 5-petaled flowers in terminal clusters. The stem is smooth, wiry, branched. The upper stems are leafless, but bristly stipules occur at the stem joints.