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Recently, the number of remote systems using the Internet has been increased and the services provided by such systems get various. They are required to have high dependability. The existing evaluations have some problems. For example, the evaluations based on RASIS are vague and those provided by Japanese government are very complicated. The existing evaluations are not uniformed, not understandable, and not quantitative. Especially, quantitative metric of integrity has not been proposed yet. This paper proposes quantitative metric for integrity for remote systems based on the Internet. It is also useful for evaluation of the effect of the measure against data destruction elements. This paper applies it to example systems in order to confirm its effectiveness.