Here's your 10-point cheatsheet to this big story:
The attackers and their two accomplices were presented at an National Investigation Agency (NIA) court in Jaipur today amid heavy police arrangements. All four of them have been sent to a 10-day NIA custody.
Meanwhile, curfew in the city will be relaxed for ten hours with the situation gradually returning to normal. Internet services will also be restored in five districts.
Riaz Akhtari and Gos Mohammad were arrested on Tuesday, hours after they killed the tailor, Kanhaiya Lal, with a cleaver at his shop for supporting suspended BJP leader Nupur Sharma.
They filmed the act and later posted a video bragging about it, saying they avenged "an insult to Islam", and threatened Prime Minister Narendra Modi too.
The killers tried to behead him but couldn't, the police said. The neck was slit but the head was not severed.
Two others, Mohsin and Asif, were arrested on Thursday night. Investigators today said they were "on standby" to kill Udaipur tailor Kanhaiya Lal had the two who killed him failed.
The tailor had complained to the police about threats from his neighbours over a social media post. The "matter was resolved", the police said after they mediated talks between Kanhaiya Lal and those he had named in his complaint.
Kanhaiya Lal's wife Jashoda told NDTV he had avoided going to his shop for a week. On Tuesday, he had gone for the first time in days.
Earlier, NIA sources said the agency is looking into possible involvement of "local self-radicalised gangs" having international links. There may be a role of more people besides the two arrested men, it had said.
The central agency took over the case on directions of the Ministry of Home Affairs. The case has political ramifications, too, as the BJP -- ruling at the Centre -- has accused the Congress and its government in Rajasthan of being soft against radicalisation.