My own UUID generator, and comparison.

custom_uuid.py

import random, math, difflib, uuid

def mathround(num):
	return math.floor(num+0.5)

def baseN(num,b,numerals="0123456789abcdefghijklmnopqrstuvwxyz"):
	return ((num == 0) and numerals[0]) or (baseN(num // b, b, numerals).lstrip(numerals[0]) + numerals[num % b])

def addRandomHexDigits(num):
	builtstring = ""
	for x in xrange(num):
		numstr = str(baseN(int(mathround(random.random()*16.0)),16))
		builtstring = builtstring + numstr
	return builtstring

def cuuid():
	myuuid = ""
	myuuid = myuuid + addRandomHexDigits(8) + "-"
	myuuid = myuuid + str(random.randint(0,9)) + addRandomHexDigits(3) + "-"
	myuuid = myuuid + str(baseN(int(random.random()*4+8),16)) + addRandomHexDigits(3) + "-"
	myuuid = myuuid + addRandomHexDigits(4) + "-"
	myuuid = myuuid + addRandomHexDigits(12)
	return myuuid

def similarity(a, b):
	return difflib.SequenceMatcher(a=a,b=b).ratio()
def testUUIDSec(iters):
	iters -= 2
	avg = similarity(cuuid().replace("-",""),cuuid().replace("-",""))
	for i in xrange(iters):
		avg = (avg + similarity(cuuid().replace("-",""),cuuid().replace("-","")))/2

	print "Custom average similarity: " + str(avg)

	avg = similarity(str(uuid.uuid4()).replace("-",""),str(uuid.uuid4()).replace("-",""))
	for i in xrange(iters):
		avg = (avg + similarity(str(uuid.uuid4()).replace("-",""),str(uuid.uuid4()).replace("-","")))/2

	print "Premade average similarity: " + str(avg)

def uuidComparisons(iters, iters2):
	wins = 0
	fails = 0
	for x in xrange(iters2):
		iters -= 2
		avg1= similarity(cuuid().replace("-",""),cuuid().replace("-",""))
		for i in xrange(iters):
			avg1 = (avg1 + similarity(cuuid().replace("-",""),cuuid().replace("-","")))/2

		avg2 = similarity(str(uuid.uuid4()).replace("-",""),str(uuid.uuid4()).replace("-",""))
		for i in xrange(iters):
			avg2 = (avg2 + similarity(str(uuid.uuid4()).replace("-",""),str(uuid.uuid4()).replace("-","")))/2

		if avg1 > avg2:
			wins += 1
		else:
			fails += 1

	print str(wins) + " wins, and " + str(fails) + " fails."

print cuuid()