diff --git a/CRAN-SUBMISSION b/CRAN-SUBMISSION
index 54e9965..92a6cec 100644
--- a/CRAN-SUBMISSION
+++ b/CRAN-SUBMISSION
@@ -1,3 +1,3 @@
 Version: 1.0.0
-Date: 2024-03-18 20:28:58 UTC
-SHA: 48adef8bc3a53294c56480471fd31396512a7e7f
+Date: 2024-03-21 10:16:36 UTC
+SHA: c0e7ccaa1f68f7812b2123140ebecba51d25bf30
diff --git a/docs/index.html b/docs/index.html
index 9ff33ff..3cbd643 100644
--- a/docs/index.html
+++ b/docs/index.html
@@ -135,6 +135,7 @@ <h3 id="citation">Citation<a class="anchor" aria-label="anchor" href="#citation"
   </main><aside class="col-md-3"><div class="links">
 <h2 data-toc-skip>Links</h2>
 <ul class="list-unstyled">
+<li><a href="https://cloud.r-project.org/package=nuts" class="external-link">View on CRAN</a></li>
 <li><a href="https://github.com/ropensci/nuts/" class="external-link">Browse source code</a></li>
 <li><a href="https://github.com/ropensci/nuts" class="external-link">Report a bug</a></li>
 </ul>
diff --git a/docs/pkgdown.yml b/docs/pkgdown.yml
index cae5b17..e3b2dac 100644
--- a/docs/pkgdown.yml
+++ b/docs/pkgdown.yml
@@ -3,7 +3,7 @@ pkgdown: 2.0.7
 pkgdown_sha: ~
 articles:
   nuts: nuts.html
-last_built: 2024-03-20T09:39Z
+last_built: 2024-03-27T07:56Z
 urls:
   reference: https://aaoritz.github.io/nuts/reference
   article: https://aaoritz.github.io/nuts/articles
diff --git a/vignettes/nuts.Rmd b/vignettes/nuts.Rmd
index 3f1361f..39615e6 100644
--- a/vignettes/nuts.Rmd
+++ b/vignettes/nuts.Rmd
@@ -94,7 +94,7 @@ When administrative units are restructured, regional data measured within old bo
 
 Let's take the example of the German state Saxony in the figures below. Here, the NUTS-2 regions *Leipzig* (`DED3` &rarr; `DED5`) and *Chemnitz* (`DED1` &rarr; `DED4`) were reorganized. We are interested in the number of manure storage facilities in 2003 provided by [EUROSTAT](https://ec.europa.eu/eurostat/databrowser/view/PAT_EP_RTOT/default/table) based on the 2006 NUTS version. A part of *Leipzig* was reassigned to *Chemnitz* (center plot), prompting us to recalculate the number of storage facilities in the 2010 version (right plot).
 
-A simple approach is to redistribute manure storage facilities proportional to the transferred area, assuming equal distribution of manure storages across space. In a dasymetric approach, we could make use of built-up area, assuming that manure deposits are more likely to be found close to residential areas and economic sites. In our example, *Leipzig* lost about 7.7% ($\frac{5574}{72360}$) of its built-up area. We re-calculate the number of manure storage facilities by computing 7.7% of *Leipzig's* manure storages $\frac{5574}{72360} * 700 = 54$, subtracting them from Leipzig and adding them to *Chemnitz*.
+A simple approach is to redistribute manure storage facilities proportional to the transferred area, assuming equal distribution of manure storages across space. In a dasymetric approach, we could make use of built-up area, assuming that manure deposits are more likely to be found close to residential areas and economic sites. In our example, *Leipzig* lost about 7.7% (\(\frac{5574}{72360}\)) of its built-up area. We re-calculate the number of manure storage facilities by computing 7.7% of *Leipzig's* manure storages \(\frac{5574}{72360} * 700 = 54\), subtracting them from Leipzig and adding them to *Chemnitz*.
 
 See the Section [*Spatial interpolation in detail*](#method) for an in-depth description of the weighting procedure.
 
@@ -231,7 +231,7 @@ p_final = ggplot() +
         , axis.title = element_blank( ))
 ```
 
-```{r,  echo=FALSE, fig.cap="Holdings with Manure Storage Facilities; BU = Built-Up Area in $m^{2}$; Sources: [Shapefiles](https://ec.europa.eu/eurostat/web/gisco/geodata/reference-data/administrative-units-statistical-units/nuts) and [data](https://ec.europa.eu/eurostat/databrowser/view/PAT_EP_RTOT/default/table) are from EUROSTAT; Created using the [sf](https://r-spatial.github.io/sf/) package.", fig.alt ="Maps of NUTS 3 regions Chemnitz and Leipzig in NUTS version 2003, between 2003 and 2006 and 2006. They visualize the example in the text in which Chemnitz contributes a part of its area to Leipzig."}
+```{r,  echo=FALSE, fig.cap="Holdings with Manure Storage Facilities; BU = Built-up area in square meters; Sources: [Shapefiles](https://ec.europa.eu/eurostat/web/gisco/geodata/reference-data/administrative-units-statistical-units/nuts) and [data](https://ec.europa.eu/eurostat/databrowser/view/PAT_EP_RTOT/default/table) are from EUROSTAT; Created using the [sf](https://r-spatial.github.io/sf/) package.", fig.alt ="Maps of NUTS 3 regions Chemnitz and Leipzig in NUTS version 2003, between 2003 and 2006 and 2006. They visualize the example in the text in which Chemnitz contributes a part of its area to Leipzig."}
 gridExtra::grid.arrange( p_initial, p_step , p_final , nrow = 1 )
 ```