This is an extension of an answer I posted years ago to the Retrocomputing question:
Most (all?) IBM PC systems required parity memory, but most early Macintosh models did not. The Macintosh IIci was the first to finally meet this specification.
After further research on the matter, I have found that Apple used to produce a document called the "Memory Guide" for early Macintosh products, updated every two months. The November 2000 version of the guide can be found here:
On page 14 it says:
There are two logic boards for the Macintosh IIci, one with and one without parity. You can identify the Parity logic board by the large parity IC installed to the left of the SIMM slots. If you have a parity logic board (identified by the presence of the parity chip at the location noted), be sure to install parity SIMMs for proper operation.
However the actual motherboard / logic board part numbers are not listed.