At the 48-minute mark, Claire receives a text on her iPhone sitting on the corner of the nightstand. She picks it up. Later on, she leaves the apartment with her phone in her hand. When Adam wakes up, Claire's white iPhone is still sitting on the nightstand.
When Claire and Adam encounter the girl in the park, Claire frames a picture with a Canon 1D full frame camera and a 24-70mm zoom lens. The camera frame depicted seconds later shows a much more zoomed image (around 200mm) than that distance and lens could produce. Just before pressing the shutter, she completely zooms out with the lens, yet the framing remains exactly the same.
(at around 24 mins) Claire is reading an online article on CNN Politics about Russo. The article's header is capitalized reading, "Russo Yet to Surface, Campaign in Question" [sic]. News headers are never capitalized.