Righteousness That Is By Faith

Romans 9:30-32 (ESV Strong's)

30 What shall we say, then? That Gentiles who did not pursue righteousness have attained it, that is, a righteousness that is by faith; 31 but that Israel who pursued a law that would lead to righteousness did not succeed in reaching that law. 32 Why? Because they did not pursue it by faith, but as if it were based on works. They have stumbled over the stumbling stone,

How fitting it is that the Ten Commandments were written on stone tablets. One might say this became the stone of stumbling for Israel. The law given through Moses did not save them, but exposed their weakness and need. 

The work of righteousness is faith and belief in Jesus and acting in that belief. That is the only way to receive the righteousness of God. Any other way is self righteousness.