If anyone has any other references to scholarship that deal specifically with Phil. 3:9, please could you let me know. [[I've lost my copy of Morna Hooker's excellent article, 'πιστις χριστου,' NTS 35 (1989) pg. 321-42, so I'll have to go make another copy (EBSCO doesn't have it!) The discussion by Ian G. Wallis The Faith of Jesus Christ in Early Christian Traditions (Cambridge, 1985) is particularly helpful!]]I've translated Philippians 3:9 as follows: not having a righteousness of my own that comes from the law, but one that comes through the faithfulness of the Messiah, the righteousness from God based on faith. The contrast between human righteousness and God's righteousness alone suggests to me that the faithfulness of the Messiah (sub. gen.) is the correct reading.
Since there is an echo of the Christ hymn (Phil 2:6-11) in chapter 3, the phrase dia pisteos Christou can serve as shorthand for the obedient self-surrender of Jesus - that is, to his faithful obedience unto death on a cross (2:8). Futhermore, if the subjective genitive is read, then one avoids duplication with the last phrase in 3:9, "the righteousness of God based on faith.
[Charles Cousar, Philippians and Philemon: A Commentary, NTL (WJK, 2009) pg. 73-74]
Let the debate, I mean discussion, continue.
The righteousness of God is revealed and established "through the faithfulness of Christ" to which believers respond on the basis of faith.
[Stephen Fowl, Philippians, (Eerdmans, 2005) pg. 154]