Well, the bottom line, I think, is the actual text in the marriage certificate. That text does not refer in anyway to Pieter's birth place. For both groom and bride place of birth and current residence is recorded, but for Pieter it just states:
Pieter Olthuijzen in leven sleper te Amsterdam overleden
Please see the actual marriage certificate (right page, lines 12-13):
"Netherlands, Zuid-Holland Province, Civil Registration, 1679-1942," database with images, FamilySearch (https://familysearch.org/ark:/61903/3:1:S3HY-DRY3-NNF?cc=1576401&wc=9PGD-W38%3A108150401%2C113230901 : 8 July 2014), Gouda > Huwelijken 1824-1834 > image 598 of 611; Nationaal Archief, Den Haag (National Archives, The Hague).
I have seen quite some transcriptions of Dutch certificates and this is the first time I see that symbol used.