You just need to HTTP GET the following URL:
http://www.carrotpop.com/smth/php/save_result.php?id=<UID>&nickname=<NICK>&country=&result=<HEIGHT>&latitude=0&longitude=0
* UID looks like an autoincrement ID* NICK is what you entered for the highscore
* HEIGHT is the float value of the height in meters, i.e. "1.23"
In the HTTP response, you get a data structure (not sure which encoding it is, but it is straightforward) of the highscore data:
[[["1.","LIATO","44.19m"],["2.","ROYBOY_91","43.16m"],["3.","YAIR40","35.12m"],["4.","GABRIEL","34.70m"],["5.","KAI","31.10m"],["6.","KAFAC99","21.06m"],["7.","JOSH","20.37m"],["8.","KEANSKI","17.61m"],["9.","EKREM6363","16.10m"],["10.","LORENZO","12.24m"],["2047.","MY BEST TRY","0.71m"],], ...
Edit: just opening the URL http://www.carrotpop.com/smth/php/save_result.php you can see the current stats, encoded as above.