This read-only Unsigned64 records the lowest per-interval delta of output discards observed across all collected sampling intervals recorded in this one archived historical sample of an interface's error-statistics -- effectively the quietest interval seen so far. For a healthy link this minimum should sit at zero, so admins use it as a sanity check that the interface has at least some clean intervals rather than a constant, low-level error rate, since a rising count here on this port almost always means its outbound queue is filling faster than the link can drain, i.e. this specific uplink or interface is oversubscribed or congested. A minimum value that's stuck above zero on this port -- meaning not even one polling interval came back completely clean -- indicates a persistent, not intermittent, problem.