How to unblock the smart card PIN ?
Step 1 — Enable the integrated unblock screen
The integrated unblock screen is disabled by default. Enable it via Group Policy:
Computer Configuration → Administrative Templates → Windows Components → Smart Card → Allow Integrated Unblock screen to be displayed at the time of logon
Reference: TechNet — Smart Card Group Policy Settings
Step 2 — Navigate to the unblock screen
Press Ctrl+Alt+Del on an active session → click Change a password

Click Other Credentials

Select the smart card reader

Check Unblock smart card. If this checkbox is not shown, the integrated unblock screen is not active — verify step 1.

Note the challenge displayed on screen (e.g. 1603 EBDF 1C8A 2E72)

Step 3 — Compute the response
Download the Response Calculator from Gemalto (compatible with all minidrivers). Enter the challenge and the admin PIN:
Step 4 — Enter the response and new PIN
Windows XP does not support minidrivers by default. Install the Base CSP component first, otherwise your card may use a legacy CSP and this procedure may not apply.
Press Win+R and type pintool, then switch to the Unblock tab and follow the same challenge/response steps as above.