While the stolen items including the Nobel replica have been recovered, the citation that was stolen along with the replica has not been found yet.
The three accused brothers, Rajan alias Natta (25), Vinod (35) and Sunil (28), have had previous involvements in burglary and robbery cases.
While expressing hope that the citation will be recovered soon, child rights activist Satyarthi thanked Delhi Police for the "brilliant and speedy recovery" of the stolen items.
"Was greatly concerned about theft of Shri Satyarthi's prestigious Nobel Medal replica. Proud that @DelhiPolice recovered it in quick time," he tweeted.
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Traditional policing played a big role in solving the case, said R P Upadhyay, joint commissioner of police (Southeast).
Citing the theft of Rabindranath Tagore's Nobel Prize medal in 2004 from Visva Bharati University's museum in Santiniketan, he said that the theft of Satyarthi's Nobel replica was a "very important case" for them.
"For us, it was a case of national pride. 10 teams were working on the case and exploring different angles," he added.
Apart from technical surveillance, the cops also focused on record-based surveillance, he said.
The theft happened in the wee hours on February 7 and police was informed about the theft at Satyarthi's flat in Aravali Apartments around 9 AM.
"When the police team reached the spot, the main door of the house was found broken. Rakesh Senger, who works with Satyarthi's Bachpan Bachao Andolan, was the first to discover the theft.
Senger informed police that replica of Nobel Peace prize and citation had been stolen along with other expensive jewellery articles and other medals.
"During investigation, it was found that two other flats, that were also locked, were also burgled," Baaniya added.
More than 50 people were identified following the analysis of burglaries with similar modus operandi in 2016-2017.
"On the basis of the modus operandi adopted by accused
"During this exercise, out of other suspects, Rajan alias Natta, who had previous criminal history of burglaries in the area, came out as a strong suspect," said the DCP.
Police began searching for Rajan and the police team came to know that he had changed three houses in Sangam Vihar in the last one week, which further strengthened the suspicion on him, he added.
Police also learnt that the three accused used to go to Ghaziabad at night to sleep.
Raids were conducted at different places and Rajan was apprehended from Sangam Vihar near Aggarwal Sweets and some of the stolen articles were recovered from his residence.
He further disclosed that he had committed the burglaries in Aravali Apartments along with his two brothers, Vinod alias Pinki and Sunil alias Sonu, who are residing in the other house at Sangam Vihar and rest of the stolen articles are with them including Nobel Prize replica.
During interrogation, they told police that when they had carried out the burglary, they didn't realise the value of the replica of Nobel prize but after watching it on TV, they realised it. Therefore, they couldn't dispose it off.
The accused brothers are natives of Gorakhpur, Uttar Pradesh and were residing in the jhuggis near Aravali Apartments since their birth.
The jhuggis were removed in the year 2005-06 and they along with their family shifted to Sangam Vihar.
While committing the burglary, they had used the passage from the empty land in front of Aravali Apartments, which is covered with the iron shed. They had bent the iron shed to make a passage to go through the vacant land.
They had jumped off from gate number 8 of the apartments that is closed during the night and is open during daytime. The CCTV footage shows they entered around 1.07 am and were there till 3.53 am.
Satyarthi thanked Delhi Police and said, "I had complete faith in the government, the police and the people of this great nation. I thank the Delhi Police for the brilliant and speedy recovery of the items stolen from my residence and I hope that the Nobel citation is recovered soon as well. Nothing can deter my mission to work towards my children."
He said that he hopeful that the citation, that is one of the most invaluable items, is also recovered soon.
"My sense is that for the thieves, the citation was just a piece of paper and they might have thrown it somewhere," he added.
The child rights activist won the Nobel Peace Prize in 2014. He shared the prize with Pakistan's Malala Yousafzai.
Satyarthi had presented his Nobel Peace Prize medal to President Pranav Mukherjee in January, 2015. The original medal has been preserved and is now on display at the Rashtrapati Bhavan Museum, his office said.