Smart contracts are distributed applications, which govern financial assets in cryptocurrencies such as Ethereum and, hence, can implement advanced financial instruments, such as decentralized exchanges or autonomous organizations (DAOs). In this talk, I will overview our advances in developing static analyzers that come with provable guarantees. I will first show how to define generic security properties that characterize the absence of prominent attack classes (such as reentrancy or transaction order dependence) and then discuss different forms of static analysis that can prove these properties and that can be efficiently implemented to analyze real-world smart contracts.