Justice was the sword that belonged to Artur Paendrag Tanreall.
Justice is a power-wrought weapon, though it is not heron-marked. It was believed lost until 1000 NE. An excavation uncovered the sword, but did not know what it was. It was taken to Rand al'Thor, who recognized it immediately from when the Heroes of the Horn, specifically Hawkwing, were called to fight at Falme. When returning to the city to parlay with Tuon Athaem Kore Paendrag, Rand thinks to himself that Justice reminds him of his previous visit.
It was given to Tam al'Thor in A Memory of Light