Update README.md (#152)

* Update README.md

Slight updates to the README to add a Contributors shield + some slight tidying up of languages / links

* Update README.md

README.md

@@ -1,21 +1,21 @@
 <h1 align="center">
   ronkathon
 </h1>
-
-<p align="center">
-  ronkathon
-</p>
-
 <div align="center">
-  <a href="https://github.com/pluto/ronkathon/actions">
-    <img src="https://github.com/pluto/ronkathon/actions/workflows/test.yaml/badge.svg" />
-    <img src="https://github.com/pluto/ronkathon/actions/workflows/lint.yaml/badge.svg" />
+  <a href="https://github.com/pluto/ronkathon/graphs/contributors">
+    <img src="https://img.shields.io/github/contributors/pluto/ronkathon?style=flat-square&logo=github&logoColor=8b949e&labelColor=282f3b&color=32c955" alt="Contributors" />
   </a>
-  </div>
+  <a href="https://github.com/pluto/ronkathon/actions/workflows/test.yaml">
+    <img src="https://img.shields.io/badge/tests-passing-32c955?style=flat-square&logo=github-actions&logoColor=8b949e&labelColor=282f3b" alt="Tests" />
+  </a>
+  <a href="https://github.com/pluto/ronkathon/actions/workflows/lint.yaml">
+    <img src="https://img.shields.io/badge/lint-passing-32c955?style=flat-square&logo=github-actions&logoColor=8b949e&labelColor=282f3b" alt="Lint" />
+  </a>
+</div>
 
 ## Overview
 
-Ronkathon is a rust implementation of a collection of cryptographic primitives. It is inspired by the common python plonkathon repository, and plonk-by-hand. We use the same curve and field as plonk-by-hand (not secure), and are working towards building everything from scratch to understand everything from first principles.
+Ronkathon is a collection of cryptographic primitives implemented in Rust. It is inspired by the [python plonkathon repository](https://github.com/0xPARC/plonkathon) and [plonk-by-hand](https://research.metastate.dev/plonk-by-hand-part-1/). We use the same curve and field as plonk-by-hand (which is not secure) and the goal of this repository is to work towards building everything from scratch to understand everything from first principles.
 
 ## Multivariate polynomials and sum-check
 
@@ -26,7 +26,7 @@ This project implements the sum-check protocol for multivariate polynomials over
 - A `SumCheckVerifier` for verifying proofs
 - A `SumCheck` struct that encapsulates the entire protocol.
 
-Use
+You can use:
 
 `cargo run --example sumcheck_ex`
 
@@ -72,6 +72,7 @@ We have found the following resources helpful in understanding the foundational
 
 - [Plonk by Hand P1](https://research.metastate.dev/plonk-by-hand-part-1/)
 - [Plonk by Hand P2](https://research.metastate.dev/plonk-by-hand-part-2-the-proof/)
+- [Plonk by Hand P3](https://research.metastate.dev/plonk-by-hand-part-3-verification/)
 
 ### Code Refrences
 
@@ -86,15 +87,17 @@ To see computations used in the background, go to the `math/` directory.
 From there, you can run the `.sage` files in a SageMath environment.
 In particular, the `math/field.sage` computes roots of unity in the `PlutoField` which is of size 101. To install sage on your machine, follow the instructions [here](https://doc.sagemath.org/html/en/installation/index.html). If you are on a Mac, you can install it via homebrew with `brew install --cask sage`.
 
+## Contributing
+
+We welcome contributions to our open-source projects. If you want to contribute or follow along with contributor discussions, join our [main Telegram channel](https://t.me/pluto_xyz/1) to chat about Pluto's development.
+
+Our contributor guidelines can be found in [CONTRIBUTING.md](./CONTRIBUTING.md). A good starting point is issues labelled 'bounty' in our repositories.
+
+Unless you explicitly state otherwise, any contribution intentionally submitted for inclusion in the work by you, as defined in the Apache-2.0 license, shall be dual licensed as above, without any additional terms or conditions.
+
 ## License
 
 Licensed under your option of either:
 
 - Apache License, Version 2.0 ([LICENSE-APACHE](LICENSE-APACHE) or http://www.apache.org/licenses/LICENSE-2.0)
 - MIT license ([LICENSE-MIT](LICENSE-MIT) or http://opensource.org/licenses/MIT)
-
-## Contribution
-
-Unless you explicitly state otherwise, any contribution intentionally submitted
-for inclusion in the work by you, as defined in the Apache-2.0 license, shall be
-dual licensed as above, without any additional terms or conditions.