I can provide you with an article on how to extract r and s (private and public keys) from a signature using Python.

Understanding the Ethereum Signature Format

Ethereum signatures are based on the Elliptic Curve Digital Signature Algorithm (ECDSA). The signature format consists of a signature hash, r and s components. Here is the format breakdown:

• signature_hash: 64-byte hash of the message

• “r”: 256-bit public key component

• s: 256-bit private key component

Python code

Here is an example Python code snippet showing how to extract the r and s components from a signature:

import hashlib
Crypto.PublicKey import EC

Define the signature hash
signature_hash = b'\x02\x01\x00\x00\x03\x12\x11\x14'

Extract the signature hash (hexadecimal)
hex_signature_hash = signature_hash.hex()

Get the public key components
public_key = EC().key
r_component = hex(signature_hash).replace('\x00', '')
s_component = hex(public_key.r) 
Note: Elliptic curve uses x instead of y
print(f"r_component (bytes): {r_component}")
print(f"s_component (hex): {s_component}")

Explanation

• First, we define the signature hash as a byte object.

• We extract the signature hash in hexadecimal format using the hex() method.

• We generate an EC key from the public key component (Elliptic curve uses x instead of y). Note that we use the letter x instead of y because ECDSA is based on elliptic curves, which have a different order of curves than RSA.

• We extract the r and s components by converting the hexadecimal signature hash value to bytes using thereplace(‘\x00’, ”)method, which removes all whitespace characters (\x00`). The r component is now in bytes, while the s component remains in hexadecimal.

Note: In Ethereum, ECDSA uses a different curve ordering than RSA. We use x instead of y because the elliptic curve uses x instead of y.

Example use case

You can use this code snippet to verify the authenticity and integrity of a signature. For example, you can create a new public key component using the following code:

public_key = EC().key
output(public_key)

This prints the public key component in bytes.

Hope this helps! Let me know if you have any questions or need further assistance.