How can an introvert stand out in a workplace full of extroverts?

I do my job, and I just do it. I do more than my job, and I just do it. On the other hand, many of my coworkers are very outspoken about the things they do. If they do their job, everyone will know about it. If they do more than their job, we’re going to talk about it for a week and probably throw some sort of recognition party for it.

I’m mostly ok with all of this, as I’m not much for being in the spotlight. But it’s gotten to the point where my hard work has been attributed to someone else a couple of times in the past month.

How do I make my coworkers (especially supervisors) aware of the hard work that I’m doing without feeling like a bragging brown noser?

*As a side note my workplace is very busy and I’m often working at multiple different locations and on my own, so it’s not a situation where it’s that easy for anyone to notice who’s doing what. Like many places these days, there’s a lot of work and not enough workers so duties aren’t as clearly defined as they might be elsewhere.