[2] Their Vedantic mantra or Mahavakya is Prajñānam brahma (Consciousness is supreme being) and as per the tradition initiated by Adi Shankara it holds authority over the Rigveda.

The countries Nepal, Bangladesh, and Bhutan as well as the Southeast Asian and Tibetan regions, are also considered spiritual territory of the math.

[5] Shankara's four principal disciples, Padma-Pada, Hasta-Malaka, Vartika-Kara or Sureshvara and Totakacharya were assigned to these four learning centers in the north, south, east and west of India.

[10] He decided to enter sanyasa while being a student in the Tibbia College and spent time studying the shastras at Kashi, Vrindavan, Naimisharanya, Shringeri etc.

On 11 February 2018 silver jubilee (25th anniversary) of the pattabhisheka (coronation) of Swami Nischalananda Saraswati was celebrated in Puri in the presence of chief minister of Orissa Naveen Patnaik, former Nepal king Gyanendra Bir Bikram Shah Dev and Gajapati Maharaja Dibyasingha Deb of Puri.