paleolimbot commented on code in PR #45459:
URL: https://github.com/apache/arrow/pull/45459#discussion_r2007924014


##########
cpp/src/parquet/metadata.cc:
##########
@@ -309,6 +321,14 @@ class ColumnChunkMetaData::ColumnChunkMetaDataImpl {
                                                  descr_->sort_order());
   }
 
+  inline bool is_geo_stats_set() const {
+    if (possible_geo_stats_ == nullptr &&
+        column_metadata_->__isset.geospatial_statistics) {
+      possible_geo_stats_ = MakeColumnGeometryStats(*column_metadata_, descr_);

Review Comment:
   I don't really mind either way, but the `Statistics` are currently 
initialized in exactly the same way:
   
   ```c
       if (possible_stats_ == nullptr) {
         possible_stats_ = MakeColumnStats(*column_metadata_, descr_);
       }
   ```
   
   ...and so even if I update this there is still no thread safety for the 
`ColumnChunkMetadata`.



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