One or more embodiments of the specification provide a method, apparatus, and non-transitory computer-readable storage medium for processing an event involving a plurality of users in a blockchain. The method is implementable by any user involved in the event, the method comprising: receiving, through a non-blockchain computer network, descriptive information; verifying a plurality of homomorphic commitments in the received descriptive information; generating a signature endorsing the descriptive information based on a private key; submitting to the blockchain triggering information comprising the signature; determining, by querying the blockchain through the blockchain computer network, that the event has been marked as executable by a smart contract on the blockchain, the mark indicating that all of the plurality of blockchain nodes have submitted corresponding triggering information; and executing the event according to the descriptive information.