## articles 1. [A (Relatively Easy To Understand) Primer on Elliptic Curve Cryptography](https://blog.cloudflare.com/a-relatively-easy-to-understand-primer-on-elliptic-curve-cryptography/) 2. [Exploring Elliptic Curve Pairings](https://medium.com/@VitalikButerin/exploring-elliptic-curve-pairings-c73c1864e627#:~:text=It%20turns%20out%20that%20it,the%20specifics%20differ%20depending%20on) 3. [KZG polynomial commitments](https://dankradfeist.de/ethereum/2020/06/16/kate-polynomial-commitments.html) 4. [Verkle trie for Eth1 state](https://dankradfeist.de/ethereum/2021/06/18/verkle-trie-for-eth1.html) 5. [How does a Merkle-Patricia-trie tree work?](https://ethereum.stackexchange.com/questions/6415/eli5-how-does-a-merkle-patricia-trie-tree-work) 6. [Merkling in Ethereum](https://blog.ethereum.org/2015/11/15/merkling-in-ethereum) 7. [MERKLE PATRICIA TRIE](https://ethereum.org/en/developers/docs/data-structures-and-encoding/patricia-merkle-trie/) 8. [Understanding the ethereum trie](https://easythereentropy.wordpress.com/2014/06/04/understanding-the-ethereum-trie/) 9. [bulletproof-style commitments](https://x.com/VitalikButerin/status/1371844878968176647) 10. [PCS multiproofs using random evaluation](https://dankradfeist.de/ethereum/2021/06/18/pcs-multiproofs.html) 11. [Verkle trees-vitalik](https://vitalik.eth.limo/general/2021/06/18/verkle.html) 12. [Verkle tree structure](https://blog.ethereum.org/2021/12/02/verkle-tree-structure) 13. [Anatomy of a Verkle proof](https://ihagopian.com/posts/anatomy-of-a-verkle-proof) 14. [Inner Product Arguments](https://dankradfeist.de/ethereum/2021/07/27/inner-product-arguments.html) * EIPs: 1. [EIP-7612: Verkle state transition via an overlay tree](https://github.com/ethereum/EIPs/blob/95be5e4b16cb14e3c192b1e7619f42936234cefd/EIPS/eip-7612.md): Describes the use of an overlay tree to use the verkle tree structure, while leaving the historical state untouched. 2. [EIP-7748](https://github.com/ethereum/EIPs/blob/95be5e4b16cb14e3c192b1e7619f42936234cefd/EIPS/eip-7748.md): State conversion to Verkle Tree: Describes a state conversion procedure to migrate key-values from the Merkle Patricia Tree to the Verkle Tree.