See how Arabic source records become ordered numbers and remainders. All 92 positions retain their archived names, formulas, mappings, and order.
READING THE RESULTS
What does a remainder tell you?
Each measurement constructs an integer from the source using its own defined operation. Dividing that integer by 19 leaves a remainder from 0 to 18. This final remainder is the recorded output: a compact, comparable signature of that particular operation, not the original count or integer.
N = 19 × q + rN = constructed integer · q = whole groups of 19 · r = what is left
See it in Criterion Sura 1
M1A · total letters constructs 139.
191919191919196 left
139 = 19 × 7 + 6
The displayed remainder is 6, not 139.
M3A · total traditional abjad constructs 10,143 = 19 × 533 + 16. Its remainder is 16. Different operations measure different features of the same Arabic text.
Zero versus nonzero
0: the complete constructed integer is exactly divisible by 19. This satisfies that measurement's recorded modulo-19 pass rule.
1–18: that many units remain after division. The integer is not divisible by 19, so it does not satisfy that particular pass rule.
A nonzero result is still part of the fingerprint. It is not missing data or a calculation error. A remainder of 1 is not a better textual match than 18; these numbers are residue classes, not quality scores.
Why keep all 92 remainders?
The ordered results form the 92-component fingerprint: 43 legacy Global results followed by 49 Global 2.0 results. Keeping every value preserves more comparison information than keeping only the number of zeros.
On Page 4, compare the same measurement position for the same sura input in each configuration. Equal values mean that operation has the same remainder; unequal values mean the fingerprints differ at that position.
One unequal position is enough to rule out an exact 92-component match. A complete match requires equality at all 92 positions, including the nonzero ones—not just the same number of passes.
What should you conclude?
- Identify the formula and input scope: what was counted, summed, or concatenated?
- Wait for the full operation. A running remainder describes only the processed tokens; even an intermediate zero is not a final pass.
- Read zero as divisibility by 19 for this measurement only; read other values as the specific nonzero residue.
- Use the full ordered vector for fingerprint equality, then check the actual source text and coordinates separately.
Different integers can have the same remainder—for example, 139 and 158 both leave 6. Equal remainders alone do not establish equal counts, equal constructed integers, or identical Arabic. Even complete fingerprint equality is checked against the source records rather than assumed to prove textual identity.
A zero is a measurement-level pass, not an overall verdict on a text. The 92 measurements include dependencies—for example, legacy A and D sums agree by construction—so neither the number of zeros nor the number of equal positions is automatically a probability, a significance level, or a textual-likeness score.
Inspect a measurement below · Compare the complete fingerprints on Page 4