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

About Ethereum Signature Format

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

• signature_hash: A 64-byte hash of the message

• r: A 256-bit public key component

• s: A 256-bit private key component

Python Code

Here’s a sample Python code snippet that shows how to extract the r and s components from a signature:

import hashlib
from Crypto.PublicKey import EC









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

Extract the signature hash value (hex)
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 (byte): {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 value in hexadecimal format using the hex() method.

• We create an EC key from the public key component (Elliptic Curve uses x instead of y). Note that we use x instead of y because ECDSA is based on elliptic curves with a different order of curves than RSA.

• We extract the r and s components by converting the hexadecimal signature hash to bytes using the replace('\x00', '') method, which removes all null characters (\x00). The r component is now in byte format, while the s component remains in hexadecimal format.

Note: In Ethereum, ECDSA uses a different curve order 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 the signature. For example, you can create a new public key component using the following code:

public_key = EC().key
print(public_key)

This will return the public key component in byte format.

Hope this helps! If you have any questions or need further assistance, please feel free to contact me.

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