├── .gitignore ├── README.md ├── hash-phrase.py ├── pbkdf2.LICENSE ├── pbkdf2.py └── words.txt /.gitignore: -------------------------------------------------------------------------------- 1 | *~ 2 | *.swp 3 | *.pyc 4 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | Hash Phrase 2 | =========== 3 | 4 | ## Introduction ## 5 | A human readable hash function. 6 | 7 | Suppose you wanted the SHA-256 hash of "Alan Turing". Easy! 8 | 9 | 4ba38d48a60f1b29e9eb726eaff08b2e83d8d81e031666fee50e85900d7dc1ef 10 | 11 | Now call a friend and tell him this hash. Okay, I won't be so mean, just tell him the first 64-bits: 12 | 13 | 4ba38d48a60f1b29 14 | 15 | Still no fun, is it? Now, instead, imagine you only had to tell your friend this: 16 | 17 | Theologian examine writer walking desire 18 | 19 | Quick, memorable, and fun. And that, my friend, is a human readable hash function! 20 | 21 | 22 | ## Details ## 23 | Hash Phrase is an experimental hash function which outputs an english phrase. It generates a list of words, instead of a binary or hexidecimal string. This is useful for situations where a human being needs to manually communicate, memorize, and/or compare the output of the hash function. 24 | 25 | Inside, Hash Phrase takes the PBKDF2_HMAC_SHA256 hash of the desired data, generating a 256-bit hash. This 256-bit hash is converted into an integer, and then converted into a base-10000 number, where each digit can then be translated to one of 10,000 common English words. The final number of words output by the hash function is dependant on the requested amount of entropy. 26 | 27 | The list of words, the minimum entropy, and the internal hash function can be configured, of course. 28 | 29 | 30 | ## Usage ## 31 | python hash-phrase.py "Alan Turing" 32 | 33 | or any other data you want hashed. 34 | 35 | 36 | ## Experimental ## 37 | To reiterate, this is only an experiment. Hash Phrase, as currently implemented, cannot reasonably represent very much entropy. If given a list of 10,000 words, and phrases of 5 words long, we get about 64-bits of entropy. Phrases longer than that would be difficult to memorize or compare. 64-bits of entropy is pretty good for comparing files, for example, but not so good for security critical applications. For example, if an attacker is trying to trick a user into believing that two files are the same, when they aren't. 64-bits of entropy could be brute-forced in cases like that. And it's likely an attacker would only need to get the phrase mostly correct. A user might not notice one or two incorrect words. 38 | 39 | To help mitigate these collision attacks, PBKDF2 was chosen as the default internal hash function. This hardens Hash Phrase against collision attacks. Depending on the application, the iteration count of PBKDF2 could be turned sufficiently high to make collision attacks infeasible. Or it could be swapped with a memory-hard hash function like scrypt. 40 | 41 | To conclude, this project was built merely to experiment with one possible way of making a human readable hash function. I believe a better implementation would involve a visual hash function; a procedurally generated image seeded by an internal hash, for example. Images can probably pack in more entropy, and are likely quicker for a human to compare. They can't be communicated verbally, though. 42 | -------------------------------------------------------------------------------- /hash-phrase.py: -------------------------------------------------------------------------------- 1 | # Released into the Public Domain by fpgaminer@bitcoin-mining.com 2 | 3 | 4 | import hashlib 5 | import math 6 | import sys 7 | from pbkdf2 import pbkdf2_hex 8 | 9 | 10 | def load_dictionary (dictionary_file=None): 11 | if dictionary_file is None: 12 | dictionary_file = "words.txt" 13 | 14 | with open (dictionary_file, 'rb') as f: 15 | dictionary = f.read ().splitlines () 16 | 17 | return dictionary 18 | 19 | 20 | def default_hasher (data): 21 | return pbkdf2_hex (data, '', iterations=50000, keylen=32, hashfunc=hashlib.sha256) 22 | 23 | 24 | def hash_phrase (data, minimum_entropy=64, dictionary=None, hashfunc=default_hasher): 25 | # Dictionary 26 | if dictionary is None: 27 | dictionary = load_dictionary () 28 | 29 | dict_len = len (dictionary) 30 | entropy_per_word = math.log (dict_len, 2) 31 | num_words = int (math.ceil (minimum_entropy / entropy_per_word)) 32 | 33 | # Hash the data and convert to a big integer (converts as Big Endian) 34 | hash = hashfunc (data) 35 | available_entropy = len (hash) * 4 36 | hash = int (hash, 16) 37 | 38 | # Check entropy 39 | if num_words * entropy_per_word > available_entropy: 40 | raise Exception ("The output entropy of the specified hashfunc (%d) is too small." % available_entropy) 41 | 42 | # Generate phrase 43 | phrase = [] 44 | 45 | for i in range (num_words): 46 | remainder = hash % dict_len 47 | hash = hash / dict_len 48 | 49 | phrase.append (dictionary[remainder]) 50 | 51 | return " ".join (phrase).lower().capitalize() 52 | 53 | 54 | if __name__ == "__main__": 55 | if len (sys.argv) != 2: 56 | print "USAGE: hash-phrase.py DATA" 57 | sys.exit (-1) 58 | 59 | print hash_phrase (sys.argv[1]) 60 | -------------------------------------------------------------------------------- /pbkdf2.LICENSE: -------------------------------------------------------------------------------- 1 | Copyright (c) 2011 by Armin Ronacher. 2 | 3 | Some rights reserved. 4 | 5 | Redistribution and use in source and binary forms, with or without 6 | modification, are permitted provided that the following conditions are 7 | met: 8 | 9 | * Redistributions of source code must retain the above copyright 10 | notice, this list of conditions and the following disclaimer. 11 | 12 | * Redistributions in binary form must reproduce the above 13 | copyright notice, this list of conditions and the following 14 | disclaimer in the documentation and/or other materials provided 15 | with the distribution. 16 | 17 | * The names of the contributors may not be used to endorse or 18 | promote products derived from this software without specific 19 | prior written permission. 20 | 21 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 22 | "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 23 | LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR 24 | A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT 25 | OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 26 | SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT 27 | LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, 28 | DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY 29 | THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 30 | (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE 31 | OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 32 | -------------------------------------------------------------------------------- /pbkdf2.py: -------------------------------------------------------------------------------- 1 | # -*- coding: utf-8 -*- 2 | """ 3 | pbkdf2 4 | ~~~~~~ 5 | 6 | This module implements pbkdf2 for Python. It also has some basic 7 | tests that ensure that it works. The implementation is straightforward 8 | and uses stdlib only stuff and can be easily be copy/pasted into 9 | your favourite application. 10 | 11 | Use this as replacement for bcrypt that does not need a c implementation 12 | of a modified blowfish crypto algo. 13 | 14 | Example usage: 15 | 16 | >>> pbkdf2_hex('what i want to hash', 'the random salt') 17 | 'fa7cc8a2b0a932f8e6ea42f9787e9d36e592e0c222ada6a9' 18 | 19 | How to use this: 20 | 21 | 1. Use a constant time string compare function to compare the stored hash 22 | with the one you're generating:: 23 | 24 | def safe_str_cmp(a, b): 25 | if len(a) != len(b): 26 | return False 27 | rv = 0 28 | for x, y in izip(a, b): 29 | rv |= ord(x) ^ ord(y) 30 | return rv == 0 31 | 32 | 2. Use `os.urandom` to generate a proper salt of at least 8 byte. 33 | Use a unique salt per hashed password. 34 | 35 | 3. Store ``algorithm$salt:costfactor$hash`` in the database so that 36 | you can upgrade later easily to a different algorithm if you need 37 | one. For instance ``PBKDF2-256$thesalt:10000$deadbeef...``. 38 | 39 | 40 | :copyright: (c) Copyright 2011 by Armin Ronacher. 41 | :license: BSD, see LICENSE for more details. 42 | """ 43 | import hmac 44 | import hashlib 45 | from struct import Struct 46 | from operator import xor 47 | from itertools import izip, starmap 48 | 49 | 50 | _pack_int = Struct('>I').pack 51 | 52 | 53 | def pbkdf2_hex(data, salt, iterations=1000, keylen=24, hashfunc=None): 54 | """Like :func:`pbkdf2_bin` but returns a hex encoded string.""" 55 | return pbkdf2_bin(data, salt, iterations, keylen, hashfunc).encode('hex') 56 | 57 | 58 | def pbkdf2_bin(data, salt, iterations=1000, keylen=24, hashfunc=None): 59 | """Returns a binary digest for the PBKDF2 hash algorithm of `data` 60 | with the given `salt`. It iterates `iterations` time and produces a 61 | key of `keylen` bytes. By default SHA-1 is used as hash function, 62 | a different hashlib `hashfunc` can be provided. 63 | """ 64 | hashfunc = hashfunc or hashlib.sha1 65 | mac = hmac.new(data, None, hashfunc) 66 | def _pseudorandom(x, mac=mac): 67 | h = mac.copy() 68 | h.update(x) 69 | return map(ord, h.digest()) 70 | buf = [] 71 | for block in xrange(1, -(-keylen // mac.digest_size) + 1): 72 | rv = u = _pseudorandom(salt + _pack_int(block)) 73 | for i in xrange(iterations - 1): 74 | u = _pseudorandom(''.join(map(chr, u))) 75 | rv = starmap(xor, izip(rv, u)) 76 | buf.extend(rv) 77 | return ''.join(map(chr, buf))[:keylen] 78 | 79 | 80 | def test(): 81 | failed = [] 82 | def check(data, salt, iterations, keylen, expected): 83 | rv = pbkdf2_hex(data, salt, iterations, keylen) 84 | if rv != expected: 85 | print 'Test failed:' 86 | print ' Expected: %s' % expected 87 | print ' Got: %s' % rv 88 | print ' Parameters:' 89 | print ' data=%s' % data 90 | print ' salt=%s' % salt 91 | print ' iterations=%d' % iterations 92 | print 93 | failed.append(1) 94 | 95 | # From RFC 6070 96 | check('password', 'salt', 1, 20, 97 | '0c60c80f961f0e71f3a9b524af6012062fe037a6') 98 | check('password', 'salt', 2, 20, 99 | 'ea6c014dc72d6f8ccd1ed92ace1d41f0d8de8957') 100 | check('password', 'salt', 4096, 20, 101 | '4b007901b765489abead49d926f721d065a429c1') 102 | check('passwordPASSWORDpassword', 'saltSALTsaltSALTsaltSALTsaltSALTsalt', 103 | 4096, 25, '3d2eec4fe41c849b80c8d83662c0e44a8b291a964cf2f07038') 104 | check('pass\x00word', 'sa\x00lt', 4096, 16, 105 | '56fa6aa75548099dcc37d7f03425e0c3') 106 | # This one is from the RFC but it just takes for ages 107 | ##check('password', 'salt', 16777216, 20, 108 | ## 'eefe3d61cd4da4e4e9945b3d6ba2158c2634e984') 109 | 110 | # From Crypt-PBKDF2 111 | check('password', 'ATHENA.MIT.EDUraeburn', 1, 16, 112 | 'cdedb5281bb2f801565a1122b2563515') 113 | check('password', 'ATHENA.MIT.EDUraeburn', 1, 32, 114 | 'cdedb5281bb2f801565a1122b25635150ad1f7a04bb9f3a333ecc0e2e1f70837') 115 | check('password', 'ATHENA.MIT.EDUraeburn', 2, 16, 116 | '01dbee7f4a9e243e988b62c73cda935d') 117 | check('password', 'ATHENA.MIT.EDUraeburn', 2, 32, 118 | '01dbee7f4a9e243e988b62c73cda935da05378b93244ec8f48a99e61ad799d86') 119 | check('password', 'ATHENA.MIT.EDUraeburn', 1200, 32, 120 | '5c08eb61fdf71e4e4ec3cf6ba1f5512ba7e52ddbc5e5142f708a31e2e62b1e13') 121 | check('X' * 64, 'pass phrase equals block size', 1200, 32, 122 | '139c30c0966bc32ba55fdbf212530ac9c5ec59f1a452f5cc9ad940fea0598ed1') 123 | check('X' * 65, 'pass phrase exceeds block size', 1200, 32, 124 | '9ccad6d468770cd51b10e6a68721be611a8b4d282601db3b36be9246915ec82a') 125 | 126 | raise SystemExit(bool(failed)) 127 | 128 | 129 | if __name__ == '__main__': 130 | test() 131 | -------------------------------------------------------------------------------- /words.txt: -------------------------------------------------------------------------------- 1 | the 2 | of 3 | one 4 | zero 5 | and 6 | in 7 | two 8 | a 9 | nine 10 | to 11 | is 12 | eight 13 | three 14 | four 15 | five 16 | six 17 | seven 18 | for 19 | are 20 | as 21 | was 22 | s 23 | with 24 | by 25 | from 26 | that 27 | on 28 | or 29 | it 30 | at 31 | his 32 | an 33 | he 34 | have 35 | which 36 | be 37 | this 38 | there 39 | age 40 | also 41 | has 42 | population 43 | not 44 | were 45 | who 46 | other 47 | had 48 | but 49 | years 50 | all 51 | km 52 | their 53 | out 54 | new 55 | city 56 | under 57 | first 58 | more 59 | its 60 | american 61 | county 62 | they 63 | mi 64 | living 65 | income 66 | some 67 | median 68 | been 69 | after 70 | total 71 | most 72 | can 73 | united 74 | no 75 | when 76 | many 77 | states 78 | people 79 | over 80 | time 81 | census 82 | into 83 | used 84 | such 85 | may 86 | i 87 | up 88 | town 89 | average 90 | see 91 | older 92 | area 93 | families 94 | only 95 | family 96 | those 97 | males 98 | females 99 | households 100 | line 101 | made 102 | world 103 | them 104 | these 105 | her 106 | than 107 | would 108 | any 109 | every 110 | during 111 | war 112 | external 113 | known 114 | about 115 | links 116 | north 117 | below 118 | size 119 | water 120 | between 121 | however 122 | located 123 | state 124 | th 125 | d 126 | name 127 | she 128 | if 129 | where 130 | density 131 | history 132 | called 133 | m 134 | races 135 | household 136 | then 137 | poverty 138 | part 139 | him 140 | use 141 | so 142 | will 143 | being 144 | later 145 | west 146 | well 147 | while 148 | b 149 | white 150 | u 151 | often 152 | non 153 | university 154 | both 155 | de 156 | became 157 | system 158 | land 159 | south 160 | number 161 | c 162 | year 163 | through 164 | government 165 | e 166 | t 167 | children 168 | john 169 | township 170 | present 171 | according 172 | national 173 | like 174 | since 175 | early 176 | century 177 | british 178 | high 179 | because 180 | english 181 | school 182 | life 183 | several 184 | music 185 | general 186 | n 187 | same 188 | including 189 | before 190 | together 191 | series 192 | now 193 | per 194 | x 195 | king 196 | each 197 | work 198 | very 199 | film 200 | you 201 | married 202 | even 203 | second 204 | although 205 | day 206 | female 207 | village 208 | african 209 | against 210 | born 211 | much 212 | native 213 | york 214 | list 215 | french 216 | until 217 | race 218 | long 219 | could 220 | group 221 | public 222 | large 223 | what 224 | units 225 | great 226 | form 227 | based 228 | another 229 | party 230 | pacific 231 | example 232 | g 233 | game 234 | st 235 | still 236 | individuals 237 | power 238 | end 239 | major 240 | alone 241 | spread 242 | do 243 | f 244 | ii 245 | geography 246 | river 247 | husband 248 | r 249 | someone 250 | us 251 | best 252 | asian 253 | around 254 | place 255 | own 256 | small 257 | east 258 | law 259 | found 260 | set 261 | housing 262 | german 263 | bureau 264 | president 265 | death 266 | language 267 | international 268 | different 269 | black 270 | left 271 | order 272 | racial 273 | following 274 | old 275 | book 276 | demographics 277 | main 278 | term 279 | we 280 | versus 281 | home 282 | house 283 | way 284 | p 285 | man 286 | did 287 | capita 288 | couples 289 | usually 290 | common 291 | hispanic 292 | makeup 293 | named 294 | country 295 | residing 296 | show 297 | political 298 | include 299 | image 300 | latino 301 | modern 302 | though 303 | householder 304 | within 305 | islander 306 | cdp 307 | church 308 | point 309 | l 310 | back 311 | due 312 | popular 313 | members 314 | last 315 | air 316 | official 317 | january 318 | right 319 | march 320 | military 321 | times 322 | among 323 | using 324 | original 325 | company 326 | cities 327 | make 328 | began 329 | island 330 | v 331 | considered 332 | given 333 | london 334 | band 335 | battle 336 | o 337 | just 338 | article 339 | off 340 | without 341 | version 342 | album 343 | down 344 | information 345 | h 346 | bc 347 | released 348 | site 349 | england 350 | college 351 | location 352 | j 353 | october 354 | france 355 | 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knowledge 1112 | von 1113 | amount 1114 | treaty 1115 | placed 1116 | channel 1117 | reason 1118 | letter 1119 | track 1120 | pressure 1121 | chicago 1122 | start 1123 | divided 1124 | scotland 1125 | upper 1126 | approximately 1127 | ships 1128 | minor 1129 | flight 1130 | via 1131 | programs 1132 | increased 1133 | shown 1134 | poet 1135 | sex 1136 | passed 1137 | albums 1138 | quickly 1139 | paper 1140 | communities 1141 | marriage 1142 | regular 1143 | sweden 1144 | except 1145 | images 1146 | secretary 1147 | quite 1148 | student 1149 | relationship 1150 | memory 1151 | origin 1152 | frequently 1153 | arms 1154 | report 1155 | zealand 1156 | decided 1157 | feature 1158 | administration 1159 | bbc 1160 | dark 1161 | claims 1162 | digital 1163 | asia 1164 | analysis 1165 | powers 1166 | double 1167 | composer 1168 | clear 1169 | nd 1170 | gas 1171 | refers 1172 | directed 1173 | mainly 1174 | mission 1175 | face 1176 | quality 1177 | picture 1178 | representative 1179 | plan 1180 | 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