How do we know the righteousness of Christ is real?

According to Philippians 3:9, Paul states that he desires to be found in Christ 'not having mine own righteousness, which is of the law, but that which is through the faith of Christ, the righteousness which is of God by faith.' This distinction emphasizes that human attempts at righteousness fall short and are insufficient for salvation. The real, divine righteousness offered through faith is rooted in Christ's sacrificial work at the cross, which is both perfect and redemptive, providing a basis for our standing before a holy God. This truth is foundational for sovereign grace theology, emphasizing that salvation is by grace through faith alone.