View source for Distribution of nonces and hashes

Here we analyze the [[nonce]] values and [[hash|hashes]] for all the valid blocks in the [[blockchain]]:

==Time Evolution==
===Nonces vs Hashes (y-axis logarithmic, x-axis linear)===
This plot readily shows that the distribution of [[nonce|nonces]] that produce valid [[hash|hashes]] is uniform.&lt;br&gt;

===Nonces vs Hashes (log-log scale)===
In the animated version of this last plot, you can really visualize the change in the [[difficulty]] and even see where the [[difficulty]] was decreased.

==Histograms==
===Distribution of Nonces===
The nonces found are skewed toward 0 because this is a selection effect: most everyone starts searching for nonces starting at 0, so the lower nonces are found first, even though there may be also higher nonces that could produce a winning block:&lt;br&gt;

===Distribution of Hashes===
Although the distribution of hashes is not uniform, this does not matter; all that matters is that the distribution of nonces is uniform (which they are, minus the selection effect of starting at 0):&lt;br&gt;

===2-D Distribution of Nonces & Hashes===
2-D histogram of hashes and nonces (logarithmic color scale):&lt;br&gt;
&lt;br&gt;
This also illustrates very well that the distribution of nonces is uniform.

==Source==

[http://bitcoin.it/ http://bitcoin.it/]
==See Also on BitcoinWiki==
* [[Vernam]]
* [[Otcrit]]
* [[Dataeum]]
* [[Selfie GO]]
* [[Railz]]