Shikhar Dhawan, who hit a breathtaking 187 on debut to set up India's six-wicket victory in Mohali, has entered the rankings in 61st position.
Virat Kohli also achieved his career-best rank of 20th by gaining four places.
Pujara, ranked 12th after sliding down two positions, and Kohli are the only Indian batsmen inside top-20 as Sachin Tendulkar has lost two positions to be 21st.
The batting table is still headed by South Africa's Hashim Amla with his teammate AB de Villiers sitting in second place and West Indies' Shivnarine Chanderpaul in third position.
Australia captain Michael Clarke is now ranked fourth after dropping 21 ratings points and two places following the Mohali Test.
In the Player Rankings for Test bowlers, India's Ravindra Jadeja has moved to 35th place with a jump of six places.
The bowlers' table is still headed by South Africa's Dale Steyn with his teammate Vernon Philander in second place and Pakistan's Saeed Ajmal in third.
There is no change to the top three in the Reliance ICC Player Rankings for Test all-rounders with Bangladesh's Shakib Al Hasan sitting in top spot, followed by South Africa's Jacques Kallis in second place and India's Ravichandran Ashwin sharing third place with Vernon Philander.
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