JAKARTA, Indonesia — Despite its denials, one of the world’s biggest paper producers has extensive behind-the-scenes ties and significant influence over wood suppliers linked to fires and deforestation that have degraded Indonesia’s stunning natural environment, The Associated Press has found. Indonesia’s Sinarmas — better known by its international trade name, Asia Pulp & Paper — has insisted in company publications, public events and to the media that most of the companies that supply it with wood are “independent,” not owned by it or in other ways affiliated with it. But the AP has found links between Sinarmas, its pulp and paper arm and nearly all the 27 plantation companies that it has told the outside world are independent. The company’s apparent aim: to “greenwash” its image for the global market.