# EPF6 - Week 4 Updates ## Summary 1. [Jupyter Notebook](https://github.com/fernantho/SSZ-QL-and-GMP/blob/0d8cced9d071409c075fb744b7dfe6be30bdb574/ssz_ql_gmp.ipynb) with a PoC of SSZ-QL&GMP ## Details ### 1. PoC Why using a Python Jupyter Notebook? Two main reasons: - Ethereum specification is writen in Python - It is very convinient for fast prototyping Although the main focus are the Merkle proofs visualization, it end up being a PoC of the whole SSZ-QL&GMP from which we can do the "speccing". The project scope is cristal clear but we still need to think about different aspects of the project in order to close the specification. In the README.md there is a section about the open questions yet to be defined. In relation to visualization, these merkle trees are pretty big so, there is no much benefit on the graphs: <img src="data:image/png;base64,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" alt="beacon state" /> *Image 1: Beacon State - Genesis Validators Root and fork - current version Merkle paths* ![image](https://hackmd.io/_uploads/HkDwYHGUxe.png) *Image 2: Beacon Block - Proposer Index and Graffiti Merkle paths* This PoC uses the Merkle Multiproofs from the `eth2spec`. There are still duplicated hashes or hashes than can be computed, so these are not the most efficient merkle multiproofs. For the spec, we should decide whether to use sparse or compact proofs. ### Next steps - Complete the PoC. - Work with [Jun](https://github.com/syjn99) on the roadmap and start executing it.