Standard Problem Solver For Proof-of-Work System.

puzzle.py

import os
from hashlib import sha512

def authBlock():
    pass

# auth hash before inserting into blockchain
def authHashPOW(ref):
    with open("HashPOWs","a+") as f:
        for line in f:
            if ref == line[:128]:
                return False
        f.write("{0}\n".format(ref))
        return True
              

# generate pi number sequence
def calcPi():
    q, r, t, k, n, l = 1, 0, 1, 1, 3, 3
    while True:
        if 4*q+r-t < n*t:
            yield n
            nr=(10*(r-n*t));n=(((10*(3*q+r))//t)-10*n);q*=10;r=nr
        else:
            nr=(2*q+r)*l;nn=(q*(7*k)+2+(r*l))//(t*l);q*=k;t*=l;l+=2;k+=1;n=nn;r=nr

# left/right (4 zeros) pattern confirmation
def verifyHash(hash512):
    if len(hash512)==128:
        for side in [[0,31,63,95],[31,63,95,127]]: # left/right
            return (len(["" for _side in side if hash512[_side]=="0"]) == 4)
    else:
        return False

dword = []
for d in calcPi():
    dword.append(int(d))
    if len(dword) == 2:
        recent_block = "aaaaaaa bbbbbbbbbbb ccccccccccc dddddddddddddd"
        hexbyte_proof = os.urandom(int("".join([str(w) for w in dword[-2:]])))
        hash512 = sha512((str(hexbyte_proof) + recent_block).encode()).hexdigest()
        result = verifyHash(hash512)
        if result:
            print("Uniqueness: {0}\nHash: {1}\nHexbyte proof exists but it's not shown.".format(authHashPOW(hash512), hash512))
            while 1:
                pass
        del dword[:]