BRB calling Stephen Hawking! We don't need to hire mathematicians to verify our anonymity works, the power in it is in it's simplicity. Please post your "examples" now. We tested extensively and can declare that it's fake. A well crafted piece of fud.
Were running our own tests as we speak, we will be documenting them.
Why don't you do the right thing and hire some competent mathematicians/cryptographers to prove (or disprove) that your anonymity method actually works?
You could also publish the results in some respected scientific journal. This will give boost to the credibility of this coin.