An extremely rare diamond called The Eternal Pink is expected to fetch more than $35-million at a Sotheby’s auction, potentially breaking records as the most expensive price per carat ever to come to market. The 10.57 ct diamond will go on show in Hong Kong next week and later will be exhibited in Dubai, Singapore, Shanghai, Taiwan and Geneva. It will be up for sale on June 8 in New York as the showpiece lot in a Sotheby’s jewels auction.