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It's very unlikely that the reports are remotely accurate. Death rumors are not uncommon on sites like Wiebo, and celebrities are often the victims. Most recently, a rumor spread around Twitter that Cuba's Fidel Casto had died, which sent the Cuban government into a tirade against Twitter as well.
The story of Kim's deaths varies slightly depending on the Weibo user. Some say he was killed in a military coup and cite a photograph of a crowded parking lot at Beijing's North Korean embassy as proof. Others say he was killed at his home.