Non-negative uniformly integrable local martingale

Question

I am not sure if the following is true or not:

"A non-negative uniformly integrable continuous local martingale is a (true) martingale."

Is this statement true? Or can someone give a counter-example?

Answer 1

Found the answer to my question in a previous answer to a different question I got: Uniformly integrable local martingale

The answer is no.