<｜begin▁of▁sentence｜>### Instruction:
Given the Astrophysics collaborations graph which you can read from a GML file named astro-ph.gml, can you use the Girvan-Newman algorithm to detect communities at level 3, and then convert the clustering results into a JSON format?
### Response:
import networkx as nx
from cdlib import algorithms

# Read the Astrophysics collaborations graph
G = nx.read_gml('astro-ph.gml')

# Apply the Girvan-Newman algorithm with level 3 to detect communities
communities = algorithms.girvan_newman(G, level=3)

# Convert the resulting communities to JSON
communities_json = communities.to_json()

print(communities_json)
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