As you asking here I am telling exam center code of pune university for UGC exam is 50, as per given below listing :

01 Aligarh Muslim University-AMU , Aligarh -202002 (U.P)
02 University of Allahabad, Allahabad -211 002 (U.P)
03 Andhra University , Vishakhapatnam -530 003 (Andhra)
04 Rajib Gandhi University, Rono Hills ,Itanagar (Arunachal)
05 Banaras Hindu University –BHU, Varanasi-221 005 (U.P)
06 Bangalore University , Bengaluru-560 056 (Karnataka)
07 M.P.Bhoj Open University ,Raja Bhoj Marg, Bhopal-M.P
08 Berhampur University, Berhampur-760 007 (Odisha)
09 Bharathiar University, Coimbatore 641 046 (T.N)
10 Bharathidasan University, Tiruchirapalli , Tamil Nadu
11 University of Burdwan, Bardhaman, West Bengal
12 University of Culcatta, Kolkata-700073 (West Bengal
)
13 University of Calicut, Kozhikode -673 635 (Kerala)
14 Chowdhury Charan Singh University , Meerut
15 Chhatrapati Shahu Ji Maharaj University ,Kanpur- U.P
16 Cochin University of Science & Technology , Kochi
17 College of Vocational Studies-CVS, Triveni, (sheikh sarai) Phase-II, New Delhi – 110017
18 Devi Ahilya Viswavidyalaya –DAV, Indore -452001, M.P
19 Dr. B.S.A Marathwada University ,Aurangabad
20 Gauhati University, Guwahati, Assam
21 Goa University, Goa -403 203
22 Deendayal Upadhyaya Gorakhpur University ,Gorakhpur
23 Gujarat University, Ahmedabad, Gujarat
24 Gulbarga University, Gulbarga, Karnataka
25 Guru Nanak Dev University, Amritsar, Punjab
26 Himachal Pradesh University (HPU)- Shimla
27 University of Jammu , Jammu (Tawi)
28 Jai Narain Vyas University , Jodhpur
29 Jiwaji University, Gwalior, Madhya Pradesh
30 Karnatak University, Dharwad – 580 003
31 University of Kashmir, Srinagar (J&K)
32 University of Kerala , Thiruvananthapuram
33 Kurukshetra Univesrity, Kurukshetra (Haryana)
34 University of Lucknow, Lucknow-226 007 (U.P)
35 M.S. University of Baroda , Vadodara, Gujarat
36 University of Madras, Chennai -600005 (T.N)
37 Madurai Kamaraj University-MKU, Madurai, T.N
38 Mangalore University, Mangalore, Karnataka
39 Manipur University, Imphal-795 003
40 Mohanlal Sukhadia University- MSU Udaipur-313001
41 University of Mumbai, Dr. S.D. Sharma Bhavan, Vidyanagri, Kalina, Santacruz (E), Mumbai
42 Nagarjuna University, Guntur, Tamil Nadu
43 Nagpur University, Nagpur-440 001
44 North Bengal University-NBU, Darjeeling-Siliguri, WB
45 North Eastern Hill University-NEHU, Shillong 793022
46 Osmania University, Hyderabad, Telangana
47 Pt.Ravishankar Shukla University, Raipur (CG)
48 PUCHD UGC NET December

49 Patna University, Patna, Bihar
50 University of Pune, Pune (Maharashtra)
51 University of Rajasthan, Jaipur-302 004
52 Ranchi University, Ranchi-834 008 (Jharkhand)
53 Rani Durgavati Vishwavidyalaya-RDV Jabalpur
54 H.N.Bahuguna Garhwal University, Srinagar (J&K)
55 Sambalpur University, Sambalpur-768 019
56 Saurashtra University, Rajkot- 360 005, Gujarat
57 Sri Venkateswara University-SVU Tirupati-517 502
58 Tilka Manjhi Bhagalpur University ,TMBU Bhagalpur
59 Tripura University, Agartala- 799 004 (Tripura)
60 Utkal University, Bhubaneswar-751 004 (Orissa)
61 Dr. Bhim Rao Ambedkar University-BRAU-Agra ,U.P
62 Maharishi Dayanand Saraswati University, MDSU-Ajmer
63 Mizoram University, Aizawl, Mizoram
64 Nagaland University, Post Box-341, Lumani, Kohima
65 Jawaharlal Nehru Rajkeeya Mahavidyalaya, JNRM Port Blair, Andaman & Nicobar Islands (A&N)
66 Awadhesh Pratap Singh University, Rewa-486 003
67 Assam University, Silchar -788 011 Assam
68 Dibrugarh University, Dibrugarh, Assam
69 Sikkim University, Tadong-737 102 (Gangtok, Sikkim)
70 Tezpur University, Tezpur- 784 028 (Assam)
71 Maharaja Ganga Singh University , MGSU Bikaner
72 Maharshi Dayanand University, Rohtak- 124 001
73 Punjabi University, Patiala -147 002 (Punjab)
74 University of Mysore, Crawford Hall, Mysore
75 Doon University, Dehradun (Uttarakhand)
76 Kumaun University, Nainital -263 001
77 Puducherry University, Kalapet, Pondicherry
78 Guru Jambheshwar University of Science & Technology ,GJUST, Hissar-125 001 (Haryana)
79 YMCA University of Science & Technology ,Faridabad
80 Guru Ghasidas Viswavidyalaya, GGU, Koni, Bilaspur
81 North Maharashtra University, Jalgaon
82 Sant Gadge Baba Amravati University, Amravati-444 602
83 Shivaji University, Vidyanagar, Kolhapur
84 University of Kota, M.B.S Marg, Kota- 324 005
85 Deenbandhu Chhotu Ram University of Science & Technology ,Murthal (Sonepat) 131 039
86 Hemchandracharya North Gujarat University, Patan

87 Central University of Himachal Pradesh, Dharamshala
88 Solapur University, Solapur, Maharashtra
89 MJP Rohikhand University, Bareilly, Uttar Pradesh