The primer summarizes Piper and Wright's understanding of the Gospel in the following way.
Piper: The heart of the gospel is the good news that Christ died for our sins and was raised from the dead. What makes this good news is that Christ's death accomplished a perfect righteousness before God and suffered a perfect condemnation from God, both of which are counted as ours through faith alone, so that we have eternal life with God in the new heavens and the new earth.
Wright: The gospel is the royal announcement that the crucified and risen Jesus, who died for our sins and rose again according to the Scriptures, has been enthroned as the true Lord of the world. When this gospel is preached, God calls people to salvation, out of sheer grace, leading them to repentance and faith in Jesus Christ as the risen Lord.
The primer concludes with the area that I am most concerned with in the New Perspective, that of future justification.
Piper: Present justification is based on the substitutionary work of Christ alone, enjoyed in union with him through faith alone. Future justification is the open confirmation and declaration that in Christ Jesus we are perfectly blameless before God. This final judgment accords with our works. That is, the fruit of the Holy Spirit in our lives will be brought forward as the evidence and confirmation of true faith and union with Christ. Without that validating transformation, there will be no future salvation.
Wright: Present justification is the announcement issued on the basis of faith and faith alone of who is part of the covenant family of God. The present verdict gives the assurance that the verdict announced on the Last Day will match it; the Holy Spirit gives the power through which that future verdict, when given, will be seen to be in accordance with the life that the believer has then lived.