Well if you give us (via PM if you are bothered about privacy) you "B"s full VIN/chassis number then we can find the official Fiat P/N and Fiat's official designations. (Too many to list here - VIN based)
An alternative is to rely on generic info from
MES / similar diagnostic software.
If I reference
MES then you have:
Barchetta Aspirato - Hitachi MPI Injection (1.8 16V '98)
Barchetta Aspirato - Hitachi MPI Injection (1.8 16V)
Barchetta Aspirato/CF3 - Hitachi MPI Injection EOBD
VIN is the starting point and then
MES/other diagnostic software can find ISO codes etc.
Sadly with these electronic and computerised components (ECUs, Body Computers, ABS ......) then the details of exact identity is not printed on an outside label but often only available to direct interrogation with suitable software.
My equivalent comparison/identity questions would be Windows 7/8/8.1/10 all qualified by Build Number?