Senior administration officials, who would not speak on the record about the intelligence findings, said the White House was still debating whether to publicly accuse North Korea of what amounts to a cyberterrorism campaign.

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Officials said it was not clear how the White House would decide to respond to North Korea. Some within the Obama administration argue that the government of Mr. Kim must be directly confronted, but that raises the question of what consequences the administration would threaten — or how much of its evidence it could make public without revealing details of how the United States was able to penetrate North Korean computer networks to trace the source of the hacking.