Oscar-winning actress Gwyneth Paltrow and her rock-musician husband, Chris Martin, are reported to have signed a contract to buy the last unsold apartment at a development in New York City’s TriBeCa neighborhood called River Lofts, for just over $5 million, according to the New York Times. If the deal closes, it would be the third New York-area property owned by Paltrow, 34, who is a Los Angeles-area native who attended private high school in Manhattan. The unit is in the River Lofts development, which consists of two buildings—a 38-unit, newly constructed 13-story at 92 Laight Street and a restored, 19th-century, red brick Richardson Romenesque warehouse at 424 Washington that contains 30 units. Paltrow’s unit, which the Times reported had been listed for $5.5 million, is one of three penthouse units in the warehouse building at 424 Washington. See the three-bedroom unit’s listing sheet here. Features in the unit include three and a half baths, a library, a gallery, a study, a fireplace, 3,892 square feet of indoor space, and 587 square feet of outdoor space on two decks. If the couple consummates the purchase, it would mark the third time in the last two years that Paltrow has bought a place in the New York area. Last summer, Paltrow’s Orchard House LLC paid $5.4 million for a 6,800-square-foot house on 2.25 acres at 35 Old Montauk Highway in Amagansett, N.Y., out on Long Island. That five-bedroom, 7.5-bath house, which also has nanny’s quarters, ocean views and a large pool, according to the New York Post, had been listed for $6.5 million. To see a cached version of that estate’s listing sheet, click here. And in spring 2005, Paltrow and Martin’s Orchard House LLC paid $7.95 million for three and a half floors in a small, two-unit building at 13 Harrison Street in TriBeCa, according to public records and the Times. Renovated by architect Annabelle Selldorf in the late 1990s, Paltrow’s TriBeCa unit has a terrace and an open loftlike style. She bought that unit around the same time that she sold her town house at 278 West Fourth Street in New York’s Greenwich Village for $6.75 million, according to public records.