diff --git a/README.md b/README.md
index c2c630f..b9aa03b 100644
--- a/README.md
+++ b/README.md
@@ -159,6 +159,8 @@ Bounds for which the level of available verification is currently at minimal lev
 - [43](https://teorth.github.io/optimizationproblems/constants/43a.html) **improved lower bound (unverified):** $C_{43} \geq 0.860*$ (exact $43/50$; certificate-layer result conditional on the lemma set of [KHSHGW2026](https://arxiv.org/abs/2601.22365)) by [J. Savva](https://doi.org/10.5281/zenodo.22223485), 1 Sep 2026.
 - [88a](https://teorth.github.io/optimizationproblems/constants/88a.html) **improved upper bound:** $C_{88a} \leq 186$ via $\mathrm{DHL}[40,2]$, by [OpenAI](https://cdn.openai.com/pdf/51126fac-1b68-4128-9666-c908bcc16033/short_gaps.pdf), 30 Aug 2026, with a Lean 4 formalization conditional on three declared axioms.
 
+- [47](https://teorth.github.io/optimizationproblems/constants/47a.html) **presentation:** put Aldaz's $1.6211915$ last in the lower-bound table so the last row is the record.
+
 ## Maintainers
 
 This site is maintained by Damek Davis, Paata Ivanisvili and Terence Tao.
diff --git a/constants/47a.md b/constants/47a.md
index abf49d8..658c902 100644
--- a/constants/47a.md
+++ b/constants/47a.md
@@ -39,8 +39,8 @@ the optimal weak-type $(1,1)$ constant of the centered Hardy–Littlewood maxima
 
 | Bound | Reference | Comments |
 | ----- | --------- | -------- |
-| $\dfrac{3}{4}-\dfrac{\sqrt{2}}{4}+\dfrac{\sqrt{6}}{2}\approx 1.6211915$ | [Ald2000] | Aldaz's Proposition 1.4 gives a lower bound in every dimension $n\ge 2$. Specializing the formula to $n=2$ gives the displayed value. [Ald2000-prop1.4] |
-| $\dfrac{11+\sqrt{61}}{12}\approx 1.5675208$ | <a href="#Mel2003">[Mel2003]</a>, <a href="#Ald2011">[Ald2011]</a> | Melas proved $c_1=\dfrac{11+\sqrt{61}}{12}$. Since $c_{d+1}\ge c_d$, we get $c_2\ge c_1$. <a href="#Mel2003-c1-formula">[Mel2003-c1-formula]</a> <a href="#Ald2011-monotone">[Ald2011-monotone]</a> |
+| $\dfrac{11+\sqrt{61}}{12}\approx 1.5675208$ | <a href="#Mel2003">[Mel2003]</a>, <a href="#Ald2011">[Ald2011]</a> | Melas proved $c_1=\dfrac{11+\sqrt{61}}{12}$. Since $c_{d+1}\ge c_d$, we get $c_2\ge c_1$. Weaker than the Aldaz bound below; kept for history. <a href="#Mel2003-c1-formula">[Mel2003-c1-formula]</a> <a href="#Ald2011-monotone">[Ald2011-monotone]</a> |
+| $\dfrac{3}{4}-\dfrac{\sqrt{2}}{4}+\dfrac{\sqrt{6}}{2}\approx 1.6211915$ | [Ald2000] | Record. Aldaz's Proposition 1.4 in dimension $n=2$. [Ald2000-prop1.4] |
 
 ## Additional comments and links
 
@@ -105,3 +105,7 @@ the optimal weak-type $(1,1)$ constant of the centered Hardy–Littlewood maxima
 
 Prepared with assistance from ChatGPT 5.2 Pro.
 This update was prepared with assistance from GPT-5.5 Pro; citations and mathematical details were reviewed by the human contributor.
+
+## Contribution notes
+
+AI assistance was used to reorder the lower-bound table so the last row is the record.