Kim Kardashian is resting comfortably at Cedars-Sinai Medical Center after giving birth to a baby girl at 1:30am Saturday morning, a source tells X17online.com exclusively.

Kim had to go in a bit earlier than planned for her scheduled C-section because of an "infection," according to our source. It could be the appendicitis diagnosis Kim's doctor gave her recently. In the last episode of Keeping Up With the Kardashians, Kim was told pregnant women usually don't undergo surgery for the condition, but perhaps this is what prompted the early birth.

No need to worry, though -- we're told mother and baby and resting and Kim and the baby are healthy. Given the baby's early birth date, however, the littlest Kardashian is in an incubator, our source tells us.

Meanwhile, Kanye West was in Switzerland on Tuesday for a promotional appearance at Art Basel for his upcoming Yeezus album. No word on weather daddy made it back to LA in time for the birth of his first child ...