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Well not very alkaline if all the lye reacted with the fatty acids correctly. It should
be near neutral (7).

Harsh hand and laundry soap was purpose made to be under-reacted
so the...

Phosphoric acid for sure also explains the instant patina see "pickling" below.

The good news is that no long term harm would have been done. Rinse
well wipe clean with paper and hone it back...