Black hole state counting in Loop Quantum Gravity: A number theoretical   approach
  We give a practical method to exactly compute black hole entropy in the framework of Loop Quantum Gravity. Along the way we provide a complete characterization of the relevant sector of the spectrum of the area operator, including degeneracies, and determine the number of solutions to the projection constraint analytically. We use a computer implementation of the proposed algorithm to confirm and extend previous results on the detailed structure of the black hole degeneracy spectrum. 
Ivan Agullo, J. Fernando Barbero G., Jacobo Diaz-Polo, Enrique   Fernandez-Borja, Eduardo J. S. Villase\~nor