--- before
+++ final
@@ -20,7 +20,6 @@
   },
   "Data properties": {
     "type": "R",
-    "digits": "100",
     "rigour": "proven",
     "rigour details": "The generator bisects exact rational brackets with 461-bit Arb arithmetic, increasing the precision if a sign is undecidable. Every cumulative probability includes the alternating-series remainder bound $2\\exp(-2(N+1)^2x^2)$ after $N$ terms. The returned ball encloses the whole final bracket, whose width is less than $10^{-112}$; every returned ball retained at least 110 decimal digits before rounding to 100. Independently, 560-bit MPFI interval arithmetic evaluates the positive series in CITE{formula-theta} with a geometric bound on its omitted terms. It certifies opposite signs of $F(x)-p$ at the two endpoints represented by every stored decimal. The checks also test strict monotonicity, the upper-tail conversion, a special-value control, and rejection of shifted intervals. All 14 values agree with mpmath at the stored precision and with SciPy at machine precision.",
     "complete": "no",
@@ -61,7 +60,7 @@
   "Comments": {
     "comment-convention": "The table stores lower-tail quantiles. If $Q^{\\mathrm{upper}}(\\alpha)$ denotes an upper-tail critical value, then $\\kappa_p=Q^{\\mathrm{upper}}(1-p)$. For example, $p=19/20$ is the probability $0.95$, so its entry is the asymptotic critical value at significance level $0.05$.",
     "comment-limit": "Let $G_n$ be the empirical cumulative distribution function of $n$ independent observations from a fixed continuous distribution with cumulative distribution function $G$, and let $D_n=\\sup_t|G_n(t)-G(t)|$. The distribution of $\\sqrt{n}D_n$ tends to the Kolmogorov distribution as $n$ tends to infinity CITE{SciPy}. The entries are quantiles of this limiting distribution; finite-sample critical values, and tests with parameters estimated from the observations, require their corresponding sampling distributions.",
-    "comment-two-sided": "The statistic $D_n$ already measures deviations in both directions. Its level-$\\alpha$ critical value is $\\kappa_{1-\\alpha}$ after scaling by $\\sqrt n$, with no division of $\\alpha$ by two. The distinction from the one-sided statistic is described in CITE{vanMulbregt}.",
+    "comment-two-sided": "The statistic $D_n$ already measures deviations in both directions. The asymptotic level-$\\alpha$ critical value for $\\sqrt nD_n$ is $\\kappa_{1-\\alpha}$, with no division of $\\alpha$ by two. The distinction from the one-sided statistic is described in CITE{vanMulbregt}.",
     "comment-grid": "The probabilities are exact rationals in lowest terms. The selection includes the median, the quartiles, conventional significance levels and their complements, together with the upper $0.1\\%$ critical value.",
     "comment-notation": "The symbol $\\kappa_p$ distinguishes these quantiles from HREF{Khinchin's_means}[Khinchin's means $K_p$], which concern continued fractions."
   },
@@ -89,6 +88,10 @@
   },
   "Similar tables": [
     {
+      "table": "HREF{Values_of_the_Jacobi_theta_constant}[Values of the Jacobi theta constant $\\theta_4(0,q)$]",
+      "relation": "For $x>0$, the Kolmogorov cumulative distribution function is $F(x)=\\theta_4(0,e^{-2x^2})$."
+    },
+    {
       "table": "HREF{Quantiles_of_the_standard_normal_distribution}[Quantiles of the standard normal distribution]",
       "relation": "uses the same lower-tail probability convention for normal critical values"
     },
@@ -105,22 +108,6 @@
       "relation": "gives central F critical values using the same lower-tail convention"
     },
     {
-      "table": "HREF{Values_of_the_upper_incomplete_gamma_function}[Values of the upper incomplete gamma function $\\Gamma(a,x)$]",
-      "relation": "its regularization gives the upper-tail probabilities used for chi-squared critical values"
-    },
-    {
-      "table": "HREF{Values_of_the_lower_incomplete_gamma_function}[Values of the lower incomplete gamma function $\\gamma(a,x)$]",
-      "relation": "its regularization gives the lower-tail probabilities used for chi-squared critical values"
-    },
-    {
-      "table": "HREF{Values_of_the_incomplete_beta_function}[Values of the incomplete beta function $B(x;a,b)$]",
-      "relation": "its regularization gives the probabilities used to compute Student and F critical values"
-    },
-    {
-      "table": "HREF{Values_of_the_error_function}[Values of the error function $\\operatorname{erf}(x)$]",
-      "relation": "an affine rescaling gives the standard normal cumulative distribution function"
-    },
-    {
       "table": "HREF{Differential_entropies_of_continuous_probability_distributions}[Differential entropies of continuous probability distributions]",
       "relation": "gives another numerical characteristic of standard continuous distributions"
     },