Accuracy-conformity to fact. precision; exactness.
Truth- conformity to fact. a statement proven to be or accepted as true.
I believe that the two things are very similar in definition; however, you can be accurate without being truthful. If you are accurate with the facts, but your story, for example, does not lead people to the truth, the two things become completely different. You can be accurate, but lead to false pretenses; therefore you are misleading although the information is accurate. An accurate statement can be true to fact, but the truth means what it means, it is clear cut.
It took me a while to come up with how they were different.