Use consistent structure in READMEs (#507)

Also fix a dead link.

README.md

@@ -88,8 +88,8 @@ C-KZG-4844 is not expected to be used outside the bindings.
 The source code of C-KZG-4844 was audited by [Sigma
 Prime](https://sigmaprime.io/) in June 2023. You can find the [audit
 report](doc/audit/Sigma_Prime_Ethereum_Foundation_KZG_Implementations_Security_Assessment.pdf)
-in the `doc/audit/` directory. Notably, the audit was for commit `fd24cf8` and 
-code introduced for EIP-7594 *has not been audited yet*. 
+in the `doc/audit/` directory. Notably, the audit was for commit `fd24cf8` and
+code introduced for EIP-7594 *has not been audited yet*.
 
 ### Why C?
 

bindings/csharp/README.md

@@ -1,4 +1,4 @@
-# C# bindings
+# C# Bindings for the C-KZG Library
 
 This directory contains C# bindings for the C-KZG-4844 library.
 

bindings/go/README.md

@@ -1,20 +1,19 @@
-# Go bindings
+# Go Bindings for the C-KZG Library
 
-This package implements Go bindings (using [Cgo](https://go.dev/blog/cgo)) for the
-exported functions in [C-KZG-4844](https://github.com/ethereum/c-kzg-4844).
+This directory contains Go bindings for the C-KZG-4844 library.
+
+## Prerequisites
+
+This package requires `1.19rc1` or later. Version `1.19beta1` and before will
+not work. These versions have a linking issue and are unable to see `blst`
+functions.
 
 ## Installation
 
 ```
 go get github.com/ethereum/c-kzg-4844/v2
 ```
 
-## Go version
-
-This package requires `1.19rc1` or later. Version `1.19beta1` and before will
-not work. These versions have a linking issue and are unable to see `blst`
-functions.
-
 ## Tests
 
 Run the tests with this command:

bindings/java/README.md

@@ -1,13 +1,13 @@
-# Java binding
+# Java Bindings for the C-KZG Library
 
-## Build shared library
+This directory contains Java bindings for the C-KZG-4844 library.
 
-### Prerequisites
+## Prerequisites
 
 * Build blst by running `make blst` in the [library source directory](../../src).
 * Set `JAVA_HOME` environment variable to a JDK with an `include` folder containing a `jni.h` file.
 
-### Build
+## Build
 
 ```bash
 make build
@@ -25,7 +25,7 @@ the [Makefile](./Makefile).
 make test
 ```
 
-## Library
+## Public Maven Repo
 
-The library which uses this binding and publishes a package to a public maven repo
+The library which uses this binding and publishes a package to a [public maven repo](https://central.sonatype.com/artifact/io.consensys.protocols/jc-kzg-4844)
 is [jc-kzg-4844](https://github.com/ConsenSys/jc-kzg-4844).

bindings/nim/README.md

@@ -1,8 +1,8 @@
-# Nim bindings
+# Nim Bindings for the C-KZG Library
 
-This directory contains Nim bindings for the c-kzg-4844 library.
+This directory contains Nim bindings for the C-KZG-4844 library.
 
-## Requirements
+## Prerequisites
 
 These bindings support Nim compiler version 1.2, 1.4, 1.6, and devel.
 
@@ -12,6 +12,14 @@ You also need to install dependencies:
 nimble install stew
 ```
 
+## Installation
+
+Install via nimble:
+
+```
+nimble install https://github.com/ethereum/c-kzg-4844
+```
+
 ## Tests
 
 Currently, reference tests only support Nim compiler version 1.4, and 1.6 because of yaml library limitations.
@@ -36,12 +44,6 @@ Or from c-kzg-4844 root folder:
 nimble test
 ```
 
-## How to use these bindings in your project
-
-Install via nimble:
-
-```
-nimble install https://github.com/ethereum/c-kzg-4844
-```
+## Usage
 
-Then import `kzg4844/kzg` or `kzg4844/kzg_abi` into your project.
+After installation, import `kzg4844/kzg` or `kzg4844/kzg_abi` into your project.

bindings/node.js/README.md

@@ -1,15 +1,6 @@
-# C-KZG-4844
-
-This is a TypeScript library for EIP-4844 and EIP-7594 that implements the
-[Polynomial Commitments](https://github.com/ethereum/consensus-specs/blob/dev/specs/deneb/polynomial-commitments.md)
-API. The core functionality was originally a stripped-down copy of
-[C-KZG](https://github.com/benjaminion/c-kzg), but has been heavily modified
-since then. This package wraps that native `c-kzg` C code in C/C++ NAPI
-bindings for use in node.js applications.
-
-Important Links:
-[EIP-4844 - Polynomial Commitments](https://github.com/ethereum/consensus-specs/blob/dev/specs/deneb/polynomial-commitments.md)
-[EIP-7594 - Polynomial Commitments Sampling](https://github.com/ethereum/consensus-specs/blob/dev/specs/_features/eip7594/polynomial-commitments-sampling.md)
+# Node.js Bindings for the C-KZG Library
+
+This directory contains Node.js bindings for the C-KZG-4844 library.
 
 ## Prerequisites
 

bindings/python/README.md

@@ -1,10 +1,10 @@
-# Python bindings
+# Python Bindings for the C-KZG Library
 
 This directory contains Python bindings for the C-KZG-4844 library.
 
 ## Prerequisites
 
-These bindings require `python3` and `PyYAML`.
+These bindings require `python3`, `PyYAML` and `make`.
 ```
 sudo apt install python3 python3-pip
 python3 -m pip install PyYAML

bindings/rust/README.md

@@ -1,6 +1,15 @@
-# Rust bindings
+# Rust Bindings for the C-KZG Library
 
-Generates the rust bindings for the c-kzg library. 
+This directory contains Rust bindings for the C-KZG-4844 library.
+
+## Prerequisites
+
+Make sure you have `cargo` and `rust` installed.
+You can do so with [`rustup`](https://rustup.rs):
+
+```
+curl --proto '=https' --tlsv1.2 -sSf https://sh.rustup.rs | sh
+```
 
 ## Build
 

fuzz/README.md

@@ -7,7 +7,7 @@ there is a `fuzz_<function>.rs` file for each target. These use
 can provide the reference tests as the starting corpus, which gives `arbitrary` a better idea of
 what inputs should be. This will differentially fuzz EIP-4844 functions with
 [Constantine](https://github.com/mratsim/constantine) and EIP-7594 functions with
-[Rust-Eth-KZG](https://github.com/crate-crypto/rust-eth-kzg(https://github.com/crate-crypto/peerdas-kzg).
+[Rust-Eth-KZG](https://github.com/crate-crypto/rust-eth-kzg).
 
 ## Dependencies
 
@@ -31,6 +31,8 @@ cargo install cargo-fuzz
 
 # Nim dependencies
 
+Get and build `nim v1.6` like this:
+
 ```
 git clone [email protected]:nim-lang/Nim.git
 cd Nim