Circumstances:First event was a few days ago, before the neuralnet outages. I heard about some pirate vessels in California and found a rogue gunboat and an indy in a gaian gunboat working on the lanes together. The gaian gunboat ran off and I chased the rogue around for a while, then the gaian came back and the rogue ran off. This happened a couple more times, until eventually one of the primary fleet ships came to assist, and together we held the gaian in place and blew it to pieces. Although the guncam did not capture the kill, you can see clearly that I was the only vessel in range at the time of its destruction.
Proof:
Circumstances:The second claim is from last night. A rogue bomber was over Planet Manhattan taunting the locals, so I went there and killed him. Pretty simple job.
Proof:
I have had several more kills, but the console is not clearly giving me the credit for them. These two, however, are unamibiguous.