<｜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 'siblinarity_antichain' function in cdlib to perform community detection on a directed acyclic graph (DAG)? After performing the community detection, can you output a JSON representation of the detected communities?
### Response:
import networkx as nx
from cdlib import algorithms

# Creating a directed acyclic graph
G = nx.read_gml('astro-ph.gml')

# Applying Siblinarity Antichain algorithm for community detection with default parameters
communities = algorithms.siblinarity_antichain(G)

# Generate a JSON representation of the detected communities
communities_json = communities.to_json()
print(communities_json)
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