Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How to add two natural numbers in base phi   In the base phi representation any natural number is written uniquely as a
sum of powers of the golden mean with coefficients 0 and 1, where it is
required that the product of two consecutive digits is always 0. In this
self-contained paper we give a new, and short proof of the recursive structure
of the base phi representations of the natural numbers.

8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con