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HANGZHOU, China — President Obama and President Xi Jinping of China formally committed the world’s two largest economies to the Paris climate agreement here on Saturday, cementing their partnership on climate change and offering a rare display of harmony in a relationship that has become increasingly discordant.

On multiple fronts, like computer hacking and maritime security, ties between China and the United States have frayed during the seven and a half years of Mr. Obama’s presidency. The friction has worsened since the ascension of Mr. Xi as a powerful nationalist leader in 2013.

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