Here is a tabulation of the number of inputs and outputs of each Monero transaction during a five-year period (2019-03-04 to 2024-03-04).
R code to reproduce:
# Run https://github.com/Rucknium/misc-research/blob/main/Monero-Effective-Ring-Size/xmr-ring-gathering.R
# Then:
# install.packages("knitr")
beginning.height <- 1784324 # 2019-03-04 15:20:22 UTC
start.spam.height <- 3097764 # 2024-03-04 15:21:24 UTC
n.inputs <- xmr.rings[ beginning.height < block_height_ring &
block_height_ring < start.spam.height,
.(number_of_inputs = max(input_num)), by = c("tx_hash")]
n.inputs <- as.data.frame(prop.table(table(n.inputs$number_of_inputs)) * 100)
n.inputs$cumulative <- cumsum(n.inputs$Freq)
names(n.inputs) <- c("Number of inputs", "Share (percentage)", "Cumulative share")
knitr::kable(n.inputs, format = "pipe", row.names = FALSE,
digits = 5)
n.outputs <- output.index[beginning.height < block_height &
block_height < start.spam.height &
output_amount == 0 & tx_num != 1,
.(number_of_outputs = max(number_of_outputs)), by = c("tx_hash")]
n.outputs <- as.data.frame(prop.table(table(n.outputs$number_of_outputs)) * 100)
n.outputs$cumulative <- cumsum(n.outputs$Freq)
names(n.outputs) <- c("Number of outputs", "Share (percentage)", "Cumulative share")
knitr::kable(n.outputs, format = "pipe", row.names = FALSE,
digits = 5)
| Number of inputs | Share (percentage) | Cumulative share |
|---|---|---|
| 1 | 54.06724 | 54.06724 |
| 2 | 38.98393 | 93.05116 |
| 3 | 1.91450 | 94.96566 |
| 4 | 0.97294 | 95.93861 |
| 5 | 0.62223 | 96.56084 |
| 6 | 0.46069 | 97.02153 |
| 7 | 0.35652 | 97.37805 |
| 8 | 0.29441 | 97.67246 |
| 9 | 0.24665 | 97.91911 |
| 10 | 0.24168 | 98.16079 |
| 11 | 0.18053 | 98.34133 |
| 12 | 0.15063 | 98.49196 |
| 13 | 0.13002 | 98.62198 |
| 14 | 0.11427 | 98.73625 |
| 15 | 0.10234 | 98.83859 |
| 16 | 0.09614 | 98.93473 |
| 17 | 0.07834 | 99.01306 |
| 18 | 0.06833 | 99.08139 |
| 19 | 0.06239 | 99.14378 |
| 20 | 0.05884 | 99.20263 |
| 21 | 0.04949 | 99.25212 |
| 22 | 0.04272 | 99.29484 |
| 23 | 0.03846 | 99.33330 |
| 24 | 0.03545 | 99.36875 |
| 25 | 0.03390 | 99.40265 |
| 26 | 0.02823 | 99.43088 |
| 27 | 0.02553 | 99.45641 |
| 28 | 0.02386 | 99.48027 |
| 29 | 0.02166 | 99.50193 |
| 30 | 0.02229 | 99.52422 |
| 31 | 0.03664 | 99.56086 |
| 32 | 0.01672 | 99.57758 |
| 33 | 0.01513 | 99.59271 |
| 34 | 0.01453 | 99.60724 |
| 35 | 0.01326 | 99.62051 |
| 36 | 0.01264 | 99.63315 |
| 37 | 0.01123 | 99.64438 |
| 38 | 0.01048 | 99.65485 |
| 39 | 0.00992 | 99.66478 |
| 40 | 0.01008 | 99.67485 |
| 41 | 0.00909 | 99.68395 |
| 42 | 0.00821 | 99.69215 |
| 43 | 0.00784 | 99.69999 |
| 44 | 0.00746 | 99.70745 |
| 45 | 0.00718 | 99.71463 |
| 46 | 0.00687 | 99.72150 |
| 47 | 0.00649 | 99.72798 |
| 48 | 0.00627 | 99.73425 |
| 49 | 0.00613 | 99.74038 |
| 50 | 0.00717 | 99.74755 |
| 51 | 0.00541 | 99.75296 |
| 52 | 0.00510 | 99.75806 |
| 53 | 0.00502 | 99.76308 |
| 54 | 0.00465 | 99.76773 |
| 55 | 0.00435 | 99.77208 |
| 56 | 0.00418 | 99.77626 |
| 57 | 0.00407 | 99.78033 |
| 58 | 0.00417 | 99.78450 |
| 59 | 0.00393 | 99.78843 |
| 60 | 0.00606 | 99.79449 |
| 61 | 0.00404 | 99.79853 |
| 62 | 0.00363 | 99.80215 |
| 63 | 0.00356 | 99.80571 |
| 64 | 0.00373 | 99.80945 |
| 65 | 0.00326 | 99.81271 |
| 66 | 0.00337 | 99.81608 |
| 67 | 0.00302 | 99.81910 |
| 68 | 0.00321 | 99.82230 |
| 69 | 0.00315 | 99.82545 |
| 70 | 0.00425 | 99.82970 |
| 71 | 0.00278 | 99.83248 |
| 72 | 0.00287 | 99.83535 |
| 73 | 0.00309 | 99.83844 |
| 74 | 0.00272 | 99.84116 |
| 75 | 0.00180 | 99.84296 |
| 76 | 0.00166 | 99.84463 |
| 77 | 0.00165 | 99.84628 |
| 78 | 0.00170 | 99.84798 |
| 79 | 0.00164 | 99.84962 |
| 80 | 0.00169 | 99.85131 |
| 81 | 0.00162 | 99.85293 |
| 82 | 0.00155 | 99.85448 |
| 83 | 0.00154 | 99.85602 |
| 84 | 0.00160 | 99.85761 |
| 85 | 0.00144 | 99.85905 |
| 86 | 0.00144 | 99.86050 |
| 87 | 0.00154 | 99.86204 |
| 88 | 0.00150 | 99.86354 |
| 89 | 0.00146 | 99.86499 |
| 90 | 0.00138 | 99.86638 |
| 91 | 0.00141 | 99.86778 |
| 92 | 0.00128 | 99.86907 |
| 93 | 0.00137 | 99.87044 |
| 94 | 0.00126 | 99.87169 |
| 95 | 0.00128 | 99.87297 |
| 96 | 0.00116 | 99.87413 |
| 97 | 0.00114 | 99.87527 |
| 98 | 0.00125 | 99.87652 |
| 99 | 0.00124 | 99.87776 |
| 100 | 0.00131 | 99.87907 |
| 101 | 0.00117 | 99.88024 |
| 102 | 0.00111 | 99.88135 |
| 103 | 0.00104 | 99.88239 |
| 104 | 0.00097 | 99.88336 |
| 105 | 0.00106 | 99.88442 |
| 106 | 0.00107 | 99.88549 |
| 107 | 0.00096 | 99.88646 |
| 108 | 0.00090 | 99.88736 |
| 109 | 0.00095 | 99.88831 |
| 110 | 0.00092 | 99.88923 |
| 111 | 0.00101 | 99.89024 |
| 112 | 0.00088 | 99.89112 |
| 113 | 0.00094 | 99.89206 |
| 114 | 0.00085 | 99.89292 |
| 115 | 0.00078 | 99.89369 |
| 116 | 0.00089 | 99.89459 |
| 117 | 0.00089 | 99.89548 |
| 118 | 0.00090 | 99.89638 |
| 119 | 0.00422 | 99.90060 |
| 120 | 0.00596 | 99.90656 |
| 121 | 0.00076 | 99.90733 |
| 122 | 0.00064 | 99.90797 |
| 123 | 0.00057 | 99.90853 |
| 124 | 0.00057 | 99.90910 |
| 125 | 0.00068 | 99.90978 |
| 126 | 0.00056 | 99.91034 |
| 127 | 0.00059 | 99.91092 |
| 128 | 0.00055 | 99.91148 |
| 129 | 0.00060 | 99.91207 |
| 130 | 0.00058 | 99.91265 |
| 131 | 0.00056 | 99.91321 |
| 132 | 0.00053 | 99.91375 |
| 133 | 0.00060 | 99.91434 |
| 134 | 0.00058 | 99.91493 |
| 135 | 0.00054 | 99.91547 |
| 136 | 0.00049 | 99.91596 |
| 137 | 0.00059 | 99.91655 |
| 138 | 0.00054 | 99.91709 |
| 139 | 0.00052 | 99.91762 |
| 140 | 0.00050 | 99.91812 |
| 141 | 0.00044 | 99.91855 |
| 142 | 0.00050 | 99.91905 |
| 143 | 0.00064 | 99.91970 |
| 144 | 0.00055 | 99.92025 |
| 145 | 0.00078 | 99.92102 |
| 146 | 0.03634 | 99.95736 |
| 147 | 0.00160 | 99.95896 |
| 148 | 0.00096 | 99.95992 |
| 149 | 0.00080 | 99.96072 |
| 150 | 0.00087 | 99.96160 |
| 151 | 0.00077 | 99.96237 |
| 152 | 0.00065 | 99.96302 |
| 153 | 0.00040 | 99.96342 |
| 154 | 0.00020 | 99.96362 |
| 155 | 0.00019 | 99.96382 |
| 156 | 0.00018 | 99.96400 |
| 157 | 0.00024 | 99.96424 |
| 158 | 0.00022 | 99.96445 |
| 159 | 0.00022 | 99.96467 |
| 160 | 0.00017 | 99.96485 |
| 161 | 0.00014 | 99.96499 |
| 162 | 0.00017 | 99.96517 |
| 163 | 0.00020 | 99.96537 |
| 164 | 0.00021 | 99.96558 |
| 165 | 0.00017 | 99.96575 |
| 166 | 0.00020 | 99.96595 |
| 167 | 0.00018 | 99.96613 |
| 168 | 0.00016 | 99.96629 |
| 169 | 0.00017 | 99.96646 |
| 170 | 0.00016 | 99.96663 |
| 171 | 0.00017 | 99.96679 |
| 172 | 0.00021 | 99.96701 |
| 173 | 0.00021 | 99.96721 |
| 174 | 0.00018 | 99.96739 |
| 175 | 0.00016 | 99.96755 |
| 176 | 0.00018 | 99.96773 |
| 177 | 0.00020 | 99.96793 |
| 178 | 0.00013 | 99.96805 |
| 179 | 0.00021 | 99.96826 |
| 180 | 0.00014 | 99.96841 |
| 181 | 0.00015 | 99.96856 |
| 182 | 0.00013 | 99.96869 |
| 183 | 0.00017 | 99.96885 |
| 184 | 0.00017 | 99.96902 |
| 185 | 0.00179 | 99.97081 |
| 186 | 0.00015 | 99.97096 |
| 187 | 0.00009 | 99.97105 |
| 188 | 0.00013 | 99.97118 |
| 189 | 0.00013 | 99.97132 |
| 190 | 0.00468 | 99.97600 |
| 191 | 0.00016 | 99.97615 |
| 192 | 0.00019 | 99.97634 |
| 193 | 0.00336 | 99.97971 |
| 194 | 0.01854 | 99.99824 |
| 195 | 0.00031 | 99.99855 |
| 196 | 0.00013 | 99.99869 |
| 197 | 0.00005 | 99.99873 |
| 198 | 0.00007 | 99.99880 |
| 199 | 0.00006 | 99.99887 |
| 200 | 0.00006 | 99.99893 |
| 201 | 0.00006 | 99.99899 |
| 202 | 0.00005 | 99.99903 |
| 203 | 0.00004 | 99.99907 |
| 204 | 0.00005 | 99.99912 |
| 205 | 0.00003 | 99.99915 |
| 206 | 0.00003 | 99.99919 |
| 207 | 0.00003 | 99.99922 |
| 208 | 0.00005 | 99.99927 |
| 209 | 0.00002 | 99.99930 |
| 210 | 0.00003 | 99.99933 |
| 211 | 0.00004 | 99.99937 |
| 212 | 0.00004 | 99.99941 |
| 213 | 0.00005 | 99.99945 |
| 214 | 0.00003 | 99.99948 |
| 215 | 0.00002 | 99.99951 |
| 216 | 0.00002 | 99.99952 |
| 217 | 0.00001 | 99.99953 |
| 218 | 0.00002 | 99.99954 |
| 219 | 0.00001 | 99.99955 |
| 220 | 0.00001 | 99.99956 |
| 221 | 0.00001 | 99.99957 |
| 222 | 0.00001 | 99.99958 |
| 223 | 0.00002 | 99.99960 |
| 224 | 0.00001 | 99.99961 |
| 225 | 0.00001 | 99.99961 |
| 226 | 0.00001 | 99.99962 |
| 227 | 0.00002 | 99.99965 |
| 228 | 0.00002 | 99.99966 |
| 229 | 0.00001 | 99.99967 |
| 230 | 0.00002 | 99.99968 |
| 231 | 0.00002 | 99.99970 |
| 232 | 0.00002 | 99.99972 |
| 233 | 0.00000 | 99.99973 |
| 234 | 0.00001 | 99.99973 |
| 235 | 0.00001 | 99.99974 |
| 236 | 0.00001 | 99.99975 |
| 237 | 0.00001 | 99.99976 |
| 238 | 0.00002 | 99.99977 |
| 239 | 0.00002 | 99.99979 |
| 240 | 0.00002 | 99.99981 |
| 241 | 0.00001 | 99.99982 |
| 242 | 0.00001 | 99.99983 |
| 243 | 0.00000 | 99.99983 |
| 244 | 0.00002 | 99.99984 |
| 245 | 0.00001 | 99.99985 |
| 247 | 0.00002 | 99.99987 |
| 248 | 0.00001 | 99.99987 |
| 249 | 0.00002 | 99.99989 |
| 250 | 0.00001 | 99.99990 |
| 251 | 0.00001 | 99.99991 |
| 252 | 0.00001 | 99.99991 |
| 253 | 0.00001 | 99.99993 |
| 254 | 0.00002 | 99.99994 |
| 255 | 0.00001 | 99.99995 |
| 259 | 0.00001 | 99.99995 |
| 261 | 0.00000 | 99.99996 |
| 264 | 0.00001 | 99.99996 |
| 265 | 0.00000 | 99.99997 |
| 266 | 0.00001 | 99.99997 |
| 267 | 0.00000 | 99.99998 |
| 268 | 0.00000 | 99.99998 |
| 270 | 0.00000 | 99.99998 |
| 272 | 0.00000 | 99.99998 |
| 273 | 0.00000 | 99.99999 |
| 274 | 0.00001 | 99.99999 |
| 277 | 0.00000 | 100.00000 |
| 282 | 0.00000 | 100.00000 |
Some transactions in 2019 have only one output. Those transactions were produced before the two-output-minimum blockchain consensus rule.
| Number of outputs | Share (percentage) | Cumulative share |
|---|---|---|
| 1 | 0.00609 | 0.00609 |
| 2 | 94.16030 | 94.16639 |
| 3 | 1.43294 | 95.59933 |
| 4 | 0.88349 | 96.48282 |
| 5 | 0.46521 | 96.94803 |
| 6 | 0.33533 | 97.28336 |
| 7 | 0.24259 | 97.52595 |
| 8 | 0.18496 | 97.71091 |
| 9 | 0.25809 | 97.96901 |
| 10 | 0.09523 | 98.06423 |
| 11 | 0.25446 | 98.31869 |
| 12 | 0.05823 | 98.37693 |
| 13 | 0.05679 | 98.43371 |
| 14 | 0.04863 | 98.48234 |
| 15 | 0.04930 | 98.53164 |
| 16 | 1.46836 | 100.00000 |