We propose a new framework for understanding non-fungible tokens (NFTs), crypto-assets that typically represent digital artwork. We posit that NFTs are digital Veblen goods: consumers demand them partly because other consumers do. Demand for NFT collections is thus fragile; issuers respond by underpricing their NFTs in primary markets, creating profit opportunities for "scalpers." We construct a simple model of NFT markets emphasizing social forces on demand and verify its predictions empirically. Our results have implications for redesigning NFT primary markets and for interpreting NFT returns.