Three are vines with prickly stems
Persicaria perfoliata, Mile-a-minute (Polygonum perfoliatum)
Invasive non-native, Piedmont & coastal plain
The sheath forms a leaf-like blade around the stem. Fruit is bright blue.
Persicaria sagittata, Arrowleaf Tearthumb (Polygonum sagittatum)
Native, Piedmont & coastal plain
Larger leaves are shaped like a long narrow arrowhead,
with small lobes at the base that point towards the stem.
Persicaria arifolia, Triangle-leaf Tearthumb (Polygonum arifolium)
Native, Piedmont & coastal plain
Larger leaves are more triangular, with lobes that point to the sides.
Also called "Halberd-leaved tearthumb."
Four species have sheaths without bristles (though they may be hairy.)
Persicaria amphibia, Water Smartweed (Polygonum coccineum)
Native, coastal plain only
Pink flowers in 1 - 3 terminal spikes.
Persicaria glabra, Dense-flowered Smartweed (Polygonum densiflorum)
Native, coastal plain only
Whitish flowers in a panicle of several spikes.
Persicaria pensylvanica, Pennsylvania Smartweed (Polygonum pensylvanicum)
Native, Piedmont & coastal plain
The upper stem is covered with stalked glands — short hairs ending in tiny knobs.
Persicaria lapathifolia, Dock-leaf Smartweed (Polygonum lapathifolium)
Non-native, Piedmont & coastal plain
The upper stem is smooth or with stalkless glands.
Seven have sheaths with bristles
Persicaria orientalis, Prince's-plume Smartweed (Polygonum orientale)
Non-native, Piedmont only
Broad leaves, compared to most of the Persicaria species, and dark pink or red flowers.
Two species have tiny dots on the mature flowers
Persicaria hydropiper, Marshpepper Smartweed (Polygonum hydropiper)
Non-native, Piedmont & coastal plain
Stems reddish, sheaths swollen on one side.
Persicaria punctata, Dotted Smartweed (Polygonum punctatum)
Native, Piedmont & coastal plain
Stems green, sheaths not swollen one side.
Four don't have dotted flowers
Persicaria maculosa, Lady's Thumb Smartweed (Polygonum persicaria)
Non-native, Piedmont & coastal plain
Pink-purple flowers in a dense inflorescense up to 1/2" diameter.
Leaves often have a dark blotch, but other species sometimes have this too.
Persicaria hydropiperoides, Water-pepper Smartweed (Polygonum hydropiperoides)
Native, Piedmont & coastal plain
Pink-purple flowers, inflorescense less dense, under 1/4" diameter.
Perennial, wet places.
Persicaria longiseta, Longbristle Smartweed (Polygonum cespitosum)
Invasive non-native, Piedmont & coastal plain
Pink-purple flowers, bristles as long as the sheath or longer.
Persicaria virginiana, Virginia Smartweed (Polygonum virginianum, Tovara virginiana)
Native, Piedmont & coastal plain
White flowers in a loose inflorescense.
Persicaria careyi, Carey's Smartweed (Polygonum careyi)
Historical native, coastal plain only
Sources: The Flora of Delaware, Herbaceous Plants of Maryland.