"Alferne paa Heden" [Danish title] is number 3 in the Hans Christian Andersen Center's register of Andersen's literary works, i.e. no. 3 in the category fairy tale (the range 1 - 300).
"Alferne paa Heden" [Danish title] was first published 19 September 1831, cf. the bibliographic description (in Danish) in : H.C. Andersen-Centrets bibliografiske optegnelser:
Alferne paa Heden
The work was published as a part of Skyggebilleder af en Reise til Harzen, det sachsiske Schweitz etc. etc., i Sommeren 1831 [Danish title]. (Number 703. BFN 162. Category/genre: Travelogue).