Explore a comprehensive analysis of hedging public key encryption in real-world applications through this 21-minute conference talk presented at Crypto 2017. Delve into the intricacies of public key encryption, OpenSSL implementation, and the origins of cryptographic coins. Examine the API structure, theoretical notions, and practical schemes involved. Investigate the NMR model and Random Oracle model, gaining valuable insights into their roles in encryption. Conclude with a summary of key findings and their implications for modern cryptography.