With increasingly data being generated, identifying safe as well as effective information entrance framework has crucial research problem. Technological evolutions have been made in numerous areas to name a few being, agriculture, industry, and specifically healthcare systems. Healthcare has experienced several remarkable alternates as the comprehensive transformation as of document basis of storage to EHR. Centralized mechanisms utilized by medical institutions for the Electronic Medical Records (EMR) management and transfer can be highly susceptible to security and privacy menaces. Blockchain has fascinating research region over extended period of long time as well as advantages it imparts utilized through amount of several industries. In a similar manner, healthcare region is located to ease extensively as of blockchain expertise because of security and privacy. In this work to securitize patient record and access using a method called Ethereum Smart Contract Graph Embedded and Pyramid Network (ESCGE-PN) is proposed. In this paper, we first design a Graph Embedding-based Neural Network and incorporate it into Differentiable Permutation Invariant Ethereum Smart Contract to securitize patient medical record. Our proposed Differentiable Permutation Invariant Ethereum Smart Contract Graph Embedding-based Neural Network makes managing healthcare records using Permutation Invariant operator to accept arbitrary samples and maps patient records with the corresponding face images to form blocks in blockchain.