Digital trust management in modern times uses blockchain technology and cryptography for building trust through dependable security protocols which operate decentralization. Basic blockchain operations receive core security through cryptographic authentication methods which validate data parts and verify users before enabling mutual agreement mechanisms for unalterable data storage. An evaluation of blockchain operation cryptography needs to analyze the Ethereum network. Ethereum achieves decentralized transparent operations through cryptographic resources that consist of hash functions and elliptic curve cryptography and digital signatures as well as zero-knowledge proofs which operate as emerging protocols. Ethereum supports transaction approvals and identity safeguards because its cryptographic structure makes trustless operation of smart contracts automatic. Ethereum intends to develop Ethereum 2.0 features with zk-SNARKs along with BLS signatures as its vital technical bases for scalability and privacy system enhancements. Research on new cryptographic techniques will explore cryptographic process protection methods for Ethereum 2.0 since its cryptographic vulnerabilities remain unaddressed. The evaluation demonstrates that secure decentralized digital platforms generate equivalent worth from cryptographic and blockchain technologies.