For fun: the lowest block hash yet - page 2.

kano

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Quote from: organofcorti on June 01, 2015, 07:49:15 AM

Quote from: TheRealSteve on June 01, 2015, 06:50:37 AM

Yep, that's it. I thought I noticed some sort of patterning in the color coded one earlier, looks like it's more pronounced in this - I suspect that's just the graphing package and things tricking my eyes

Randomness can be clumpy - if it was all evenly spaced, it wouldn't be random. Humans are very good at pattern recognition, but it's easy to squeeze clumpy randomness into a pattern.

...

Well ... it's not actually random, it's only pseudo random

Given enough data over millions of years it would probably show some artifacts of the pseudo randomness.

TheRealSteve

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While we're in this thread - minor update. The current top 20 (green = new) are:
height hash 334261 000000000000000000002d414bb8f9175ba6c6563721e1ba2c1373c2bd94f29f 336175 000000000000000000005a5e143087632fbf0eea743ad99646d9fc67d40f7441 331908 000000000000000000006836c4009ab00485cd1de4d5958ca7839184d0b80067 357845 0000000000000000000072fb4daee93cb0ef53f292898febaa8353743469f9d1 326055 000000000000000000007e1166d92acf81d4e2d95934fcdec1276b09a7db9390 343775 000000000000000000007eef13ee1f2fcf1b469bd862fcc93b48ec49548ecf6d 340483 000000000000000000008ac86ba28085be84af2ebd6fc6935a004e57fb60c083 313338 00000000000000000000b7de9e5c19e52be073156924b7cf235efb27ae8a202a 355287 00000000000000000000bf159dbb0f8fb3fe450337a5aea11ead28c67673788f 331987 00000000000000000000ec03e3183bacc8b18437180f63f6a563267a186225bc 334151 0000000000000000000119adb3da72742b1eba98f9dc26f73858e91652b42287 333904 0000000000000000000119f88871f8a3c3b7be053c98b31e9c4676df30243cfe 320736 0000000000000000000137130c5a047157e7b0e063de6f3d30246a4f2005a818 315024 0000000000000000000181f37629e8b80debca2c295c350cb1bd156e7e1a25ee 340600 00000000000000000001a092bb0f2311bf00987a8f7d92e2ed6b36a522054741 324204 00000000000000000001bdebf80d8c40d9b30a6fe76b962ff59c8d3cdeec3473 353863 00000000000000000001e5b926f30e95405028c7a99039ca6d0d56fe4e6c3fcd 343641 000000000000000000020fc1ca1268a27de8646059ae2bcca61d13d16890b5db 326091 000000000000000000024b7dea2b63b4e2be64ef1663369fe2f22504587d094b 330140 000000000000000000026ccbc4bbb6a608e90132329190291127f971a604e5c9

TheRealSteve

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Quote from: organofcorti on June 01, 2015, 07:49:15 AM

Randomness can be clumpy - if it was all evenly spaced, it wouldn't be random.

Just to show what I was seeing - which does go a bit beyond clumping:

If you squint just right and convince your brain that it's there, then you can somewhat see it in the color coded one as well.

But you can see that in the b/w version it's almost certainly just the filtering of samples in the rasterized output.

organofcorti

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Quote from: TheRealSteve on June 01, 2015, 06:50:37 AM

Yep, that's it. I thought I noticed some sort of patterning in the color coded one earlier, looks like it's more pronounced in this - I suspect that's just the graphing package and things tricking my eyes

Randomness can be clumpy - if it was all evenly spaced, it wouldn't be random. Humans are very good at pattern recognition, but it's easy to squeeze clumpy randomness into a pattern.

Quote from: TheRealSteve on June 01, 2015, 06:50:37 AM

or the ECDF would have shown them as well

Maybe, but the CDF ignores changes over time. If there were strange patterns from time to time, it might not show up in the CDF / PDF, if the patterns balanced out.

Quote from: TheRealSteve on June 01, 2015, 06:50:37 AM

Nice work as always

Cheers!

TheRealSteve

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Yep, that's it. I thought I noticed some sort of patterning in the color coded one earlier, looks like it's more pronounced in this - I suspect that's just the graphing package and things tricking my eyes, or the ECDF would have shown them as well. Nice work as always

organofcorti

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This is unbinned with very small, slightly translucent points:

organofcorti

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Quote from: TheRealSteve on May 31, 2015, 08:10:33 PM

I thought this graph...

...was actually more interesting

Any chance you could plot one that hasn't been binned?

Sure - but then you just get a lot of overplotting. The colour represents the number of blocks in each bin, so unbinned you'd just have a scatter plot that was solid black at the bottom and black dots at the top. If I make each point translucent, you might see a bit more detail. Maybe it's just the colours that put you off?

TheRealSteve

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I thought this graph...

...was actually more interesting

Any chance you could plot one that hasn't been binned?

organofcorti

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Some visualisations and explanations of highest difficulty / smallest blockhashes:
http://organofcorti.blogspot.com/2015/05/the-tiniest-blockhashes.html

TheRealSteve

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Quote from: Taras on April 10, 2015, 10:59:45 PM

What about the hashes with the most zeros anywhere in the hash? Wink

I listed the one with the most (at that time) already Wink

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Quote from: bitspill on April 11, 2015, 12:38:55 AM

Quote from: Taras on April 10, 2015, 10:59:45 PM

What about the hashes with the most zeros anywhere in the hash? Wink

Quote from: TheRealSteve on April 09, 2015, 04:01:04 PM

Quote from: David Rabahy on September 06, 2013, 11:32:23 AM

Is a hash of *all* 0s possible?

Current block with the most number of 0's (anywhere, not just leading) in the hash:
height hash note 326799 000000000000000003fec4b5cd08090ab80010345952ab08048e088a00c2b09b 29/64* zeros
(* see earlier discussion on whether all zeros is even theoretically possible )

bitspill

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Quote from: Taras on April 10, 2015, 10:59:45 PM

What about the hashes with the most zeros anywhere in the hash? Wink

Quote from: TheRealSteve on April 09, 2015, 04:01:04 PM

Quote from: David Rabahy on September 06, 2013, 11:32:23 AM

Is a hash of *all* 0s possible?

Current block with the most number of 0's (anywhere, not just leading) in the hash:
height hash note 326799 000000000000000003fec4b5cd08090ab80010345952ab08048e088a00c2b09b 29/64* zeros
(* see earlier discussion on whether all zeros is even theoretically possible )

Taras

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Quote from: TheRealSteve on April 10, 2015, 05:33:29 PM

Quote from: Taras on April 10, 2015, 04:19:37 PM

Okay, but what about the highest block hash? Wink

The current bottom 10 are:
height hash note 32009 00000000fff9e01287736bee2fecdd88ae31b5602858c5273d43351cfadecd58 highest block height 5386 00000000fff91949181449d048aca5a1cc6d0e3e3f34e89c00ab2709696b8da0 27948 00000000fff58158d6ce595a2976d547f16b0ec8aba64b7a9a68c78d469b54b5 31664 00000000fff3d56591bc0eae8cee73a214d1d451d704f86126415ed540850df7 30133 00000000fff31576873d6ec35ba6659e72193ddf621ea1edd7faa462336a2211 1304 00000000fff0728c5da1548b4f15576aa272f0f4952031ae56a5be355310ba0a lowest block height 31108 00000000ffeec57f29c3f3df6014774aa1a2f00114ab16bd26b0d270974cd706 9396 00000000ffeb8e847d94f7085c6cc0359c77d8ebe52b9fb59b90e9ef95a23c44 16250 00000000ffeb2708cfc0aa1b5db3a6eacccc9112eb10cc0de2ec3e98c6c11a7a 28614 00000000ffe5255e229781dd72b1626c4df90e77390d38f6337ce949bc3ff300

Quote from: Taras on April 10, 2015, 04:19:37 PM

I'm predicting it to start with 00000000ffff.

AMAZING!

but wrong :x

Damn! My Big Gang Mafia intuition was wrong!

I wrote a chain parser myself but only did the first 10,000 blocks. (It can only see blk000000.dat)

What about the hashes with the most zeros anywhere in the hash? Wink

TheRealSteve

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Quote from: Taras on April 10, 2015, 04:19:37 PM

Okay, but what about the highest block hash? Wink

The current bottom 10 are:
height hash note 32009 00000000fff9e01287736bee2fecdd88ae31b5602858c5273d43351cfadecd58 highest block height 5386 00000000fff91949181449d048aca5a1cc6d0e3e3f34e89c00ab2709696b8da0 27948 00000000fff58158d6ce595a2976d547f16b0ec8aba64b7a9a68c78d469b54b5 31664 00000000fff3d56591bc0eae8cee73a214d1d451d704f86126415ed540850df7 30133 00000000fff31576873d6ec35ba6659e72193ddf621ea1edd7faa462336a2211 1304 00000000fff0728c5da1548b4f15576aa272f0f4952031ae56a5be355310ba0a lowest block height 31108 00000000ffeec57f29c3f3df6014774aa1a2f00114ab16bd26b0d270974cd706 9396 00000000ffeb8e847d94f7085c6cc0359c77d8ebe52b9fb59b90e9ef95a23c44 16250 00000000ffeb2708cfc0aa1b5db3a6eacccc9112eb10cc0de2ec3e98c6c11a7a 28614 00000000ffe5255e229781dd72b1626c4df90e77390d38f6337ce949bc3ff300

Quote from: Taras on April 10, 2015, 04:19:37 PM

I'm predicting it to start with 00000000ffff.

AMAZING!

but wrong :x

Taras

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Okay, but what about the highest block hash? Wink

I'm predicting it to start with 00000000ffff.

Har01d

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There is a couple more...

323453 | 000000000000000012345b434cea9b76ae6bffb49e624ca60182fc15a0a1ee2b
155644 | 00000000000002ad18f02d363564da3501234596dae6345b93fa1579fc3f7d98
218505 | 0000000000000141c1e370d4123456771e7d77463e91e4f2a5e572257ef46362

321252 | 000000000000000010c1948fe886469b0e8d4f6aef7c2373abcdefe8fc9a2e86
270096 | 0000000000000003606abfa5b19abcdefd839cc1b0da2fea63cbda317597de5a
112974 | 000000000000b6e76dba167cc240c0014abcdef563ecd8ceec73f1ac57c6f420

and there is no "dead*beef" yet, but there is...

18851 | 000000005a18c8f3b0c7a32159b76edcdc7af5bada903af00d60dd8fad297c0c

Have fun

Mikestang

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Thanks for the update!

TheRealSteve

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Just to poke at some of David Rabahy's trivia questions:

Quote from: David Rabahy on September 06, 2013, 11:32:23 AM

Is a hash of *all* 0s possible?

Current block with the most number of 0's (anywhere, not just leading) in the hash:
height hash note 326799 000000000000000003fec4b5cd08090ab80010345952ab08048e088a00c2b09b 29/64* zeros
(* see earlier discussion on whether all zeros is even theoretically possible )

Quote from: David Rabahy on September 09, 2013, 08:58:25 AM

One wonders when a trailing triple 0 appears.

http://btc.blockr.io/block/info/9521 (actually four trailing zeros - other blocks with four trailing: 83373, 293374, 332802)
http://btc.blockr.io/block/info/10169 (actual triple)
( there's none with 5 trailing zeros )

Quote from: David Rabahy on September 06, 2013, 11:32:23 AM

Which hash has the most trailing 0s?

Tie between the above four listed

Quote from: David Rabahy on September 09, 2013, 09:02:36 AM

Why not a leading sequence of 3.1415926535...?

Can't have it leading, of course, but here's one with 314159 in it, at least (only one, thus also no longer sequence yet):
height hash 234923 0000000000000171ae44bb6c1700314159dc61480b54edf71e5281ee7c6147a7

Here's some other fun ones Wink

height hash 132928 00000000000011eec4defc0ffee303401e460d2b8406474692d0ff141b9cbbf4 170852 00000000000002b58bf498d718db69dfc25cb318036949d3dad6bc0ffee28744 57598 00000000051565707437c6626a8f88c92fe9decaf4c19f0c1b77558d3bf03aac 84177 0000000000161062e2762c06457decaf0298724f662468465c84ff595abde159 137577 00000000000001e06f54fa79354e337678f840a7bc75ddecaf8fd9d089f9eed2 148781 00000000000004c2d5703896fb122b28dc7347f3023b0decaf28e3aacffffcb1 189433 00000000000005decafc4b33943d70fc596dd080f9a6737d94e9b4c88d890bf7 210406 00000000000002de9c1decaf9cb207af4452e8f00baeadc7729618ff3f4ce9e9 272206 00000000000000048d9564d82b8ac4d20decafb08e831ea7c8ddef7b9b5fac90 279275 00000000000000004ada6d6cead5c00a860494582252371c9c294decaf3b422a 303682 00000000000000005a9d3af33c5b4b52cc6b53c8decafc6dfb4259b06681dfaa 317717 000000000000000002e4c9274d83196ef16b0130972e7cc6ddecaf735cc67699 344465 000000000000000006c7cdecaf9dbe50a5fc693e7a555550d57aa1706f3f964b 344545 00000000000000000bbcc57dd86a829d674506e0cb151a09e91a9decafbf292e
No 'deadbeef'... yet.

TheRealSteve

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Quote from: gmaxwell on September 05, 2013, 06:47:01 AM

The current top 20 are:

Time for an update, as another thread was posted that basically asked the same thing

The current top 20 are:
height hash note 334261 000000000000000000002d414bb8f9175ba6c6563721e1ba2c1373c2bd94f29f 336175 000000000000000000005a5e143087632fbf0eea743ad99646d9fc67d40f7441 331908 000000000000000000006836c4009ab00485cd1de4d5958ca7839184d0b80067 326055 000000000000000000007e1166d92acf81d4e2d95934fcdec1276b09a7db9390 343775 000000000000000000007eef13ee1f2fcf1b469bd862fcc93b48ec49548ecf6d 340483 000000000000000000008ac86ba28085be84af2ebd6fc6935a004e57fb60c083 313338 00000000000000000000b7de9e5c19e52be073156924b7cf235efb27ae8a202a 331987 00000000000000000000ec03e3183bacc8b18437180f63f6a563267a186225bc 334151 0000000000000000000119adb3da72742b1eba98f9dc26f73858e91652b42287 333904 0000000000000000000119f88871f8a3c3b7be053c98b31e9c4676df30243cfe 320736 0000000000000000000137130c5a047157e7b0e063de6f3d30246a4f2005a818 315024 0000000000000000000181f37629e8b80debca2c295c350cb1bd156e7e1a25ee 340600 00000000000000000001a092bb0f2311bf00987a8f7d92e2ed6b36a522054741 324204 00000000000000000001bdebf80d8c40d9b30a6fe76b962ff59c8d3cdeec3473 343641 000000000000000000020fc1ca1268a27de8646059ae2bcca61d13d16890b5db 326091 000000000000000000024b7dea2b63b4e2be64ef1663369fe2f22504587d094b 330140 000000000000000000026ccbc4bbb6a608e90132329190291127f971a604e5c9 266381 000000000000000000028c32e6952731326747bae4be8db0f832d6eea0362050 lowest block height 349240 00000000000000000002a133e4691d2f8894a3af7a1b3624e8c2e8c7a8a4fe3c highest block height 330727 00000000000000000003107221e16ef91fdf83b3729c5f370dafb754bf6443b2

teukon

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Quote from: gmaxwell on August 01, 2014, 07:59:57 PM

The smallest block hash yet found is an estimate of the total work done by the network. Also, the sum of the difficulties (well *2^32) on the blocks so far is an estimate, which is the one returned in the bitcoin core logs or in the getblockchaininfo rpc.

I see, thanks.

Interestingly, it seems to me that we should be "ahead" in this sense about 2/3 of the time. I believe this follows from the fact that given some amount of work done, n say (number of hashes), the probability that we are behind at that point is simply (1 - 1/n)^n which converges to exp(-1) as n tends to infinity.

Topic: For fun: the lowest block hash yet - page 2. (Read 21275 times)