The dispute over who was the first to score one million points in the classic Donkey Kong arcade game has captivated gamers for more than a decade.

The battle was even the subject of an award-winning 2007 documentary, “The King of Kong: A Fistful of Quarters.”

Earlier this month, after an extensive forensic analysis, the video game adjudicator Twin Galaxies handed off the long-ago title — or the bragging rights at least — to Steve Wiebe, the mild-mannered math teacher familiar to fans of that film.

“It’s a sweet victory now to have it finally recognized,” Mr. Wiebe, 49, said.

His rival in the movie, Billy Mitchell, 52, the hot-sauce entrepreneur and former champion known for his thumbs-up poses and patriotic ties, has been cast from the record books and barred for life from being listed on Twin Galaxies leader boards.