<｜begin▁of▁sentence｜>### Instruction:
Given a directed Erdős–Rényi graph with 10 nodes and a connection probability of 0.2, how do you create a JSON object that contains the in-degree (convergence degree) for each node?
### Response:
import networkx as nx
from networkx.readwrite import json_graph
import json

G = nx.erdos_renyi_graph(10, 0.2, directed=True)
convergence_degree = G.in_degree()

# Assume 'convergence_degree' parallels the concept 'in_degree' (convergence) as this API is undocumented
data = {node: deg for node, deg in convergence_degree}
json_data = json.dumps(data)
print(json_data)
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