Nowadays, more and more people are engaged in media creation and sharing for income. A common way to earn income is to upload media to an intermediary platform and then let the platform distribute some profits. However, intermediary platforms generally not only extract most of the profits, but also lack transparency in their operation, where owners lose direct control over the media. Nevertheless, individual sharing is not feasible for owners because each owner holds too little media to attract enough users independently. Blockchain is a solution to the above problem by gathering media from multiple owners without intermediaries. Though a lot of works have studied the use of blockchain for decentralized management of media data, many of them either did not consider sharing needs or tracing the illegal redistribution by malicious users. As for other works, most of them adopted symmetric digital watermarking in their blockchain networks, and thus fail to protect the rights of users who may be framed by malicious owners. Although asymmetric watermarking has been used by two existing works, the owner-side embedding pattern results in low owner-side efficiency. In view of this, we design a media sharing blockchain network in which the asymmetric fingerprinting (i.e., watermarking) with user-side embedding is introduced. Besides superior owner-side efficiency, our scheme also outperforms the above two ones in terms of TTP-free. Moreover, our scheme is designed to offer a user-friendly experience and support record traceability. The performance of our scheme is verified by both theoretical and experimental evaluations.