The story that curvy “model” Canadian Leyla Ghobadi gave Star magazine, claiming she had sex with Kanye West while his girlfriend Kim Kardashian has been pregnant, has more holes than a golf course.(Photos)

Leyla Ghobadi, 24, claims in the current issue that she hooked up with the rapper twice in 2012 and that he attempted a third encounter just this past weekend.

It turns out Ghobadi was paid just under $20,000 for her tale — and never took a lie-detector test to help prove her story.

Star’s editor-in-chief, James Heidenry, confirms to us that spa worker Ghobadi was paid for her tale, but says our number is off. “I can tell you that’s way out of the ballpark,” he says.

We also hear news agency Coleman-Rayner had been shopping Ghobadi’s story around for a month and that other weeklies passed because Ghobadi had no proof of the alleged tryst.

Star magazine didn’t mind, though. Famous for giving story subjects lie-detector tests, the editors failed to do so with Ghobadi. “We didn’t think it was necessary in this case,” Heidenry shockingly admitted.

But the mag did recently test rapper AP.9 and discovered he did not have a sex tape with Ice-T’s wife, Coco Austin, among countless other subjects.

Editors also failed to check if text messages Ghobadi claims were from Kanye via a member of his entourage actually exist. “I forget if she either lost her phone or phone broke,” says Heidenry. “One of those two.”

Ghobadi claims she ended up in West’s hotel room one night, where “the next thing I knew, we were both naked and having sex,” she said.

Not the case, a close Kardashian Konfidante tells Confidenti@l. Although West did snap a picture backstage with Ghobadi, along with countless other fans, he left the venue with Kardashian.

“Kim left with Kanye, and her friends went to the club with her security guard, and Kim and Kanye went back to the room,” the source says. “This girl’s story is such bulls—.”

Ghobadi claims the affair started when West spotted her in the front row during his concert at Revel in Atlantic City. Kim was also there, sitting cushy in a VIP box. Ghobadi says West instructed a stagehand to pluck her from the crowd for his personal use.

Asked if he believes West and Ghobadi had a tryst, Heidenry said, “I’d rather not answer that question. To be honest, if you read that story you know as much as I do. I asked that question to our reporters who worked on it and they believe that it’s valid.”

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