MSFT smart card authentication is listed in PKINIT RFC 4556 however I don't see any OIDs listed.
Based on this and this KB article the EKU section of the certificate should contain "Client Authentication" or "Microsoft smart card".
I believe I found the OID of the EKU section here
OID=1.3.6.1.5.5.7.3.2 ; XCN_OID_PKIX_KP_CLIENT_AUTH Client Authentication (KB291010)
I also found a list of possible OIDs here
OID=1.3.6.1.4.1.311.20.2.2 ; XCN_OID_KP_SMARTCARD_LOGON
What are the requirements for SmartCard encryption with Windows?