I recently purchased a New York State birth certificate from the Municipal Archives in NYC, in PDF format. It appears that although it is a state certificate that it was originally filed with the New York City Department of Health.
This is the citation I wrote for it but I don't know if I have all the elements in the right order. Also - I feel like if I lead with "New York City" it will be redundant. Hopefully I got this right but would appreciate any feedback on this.
City of New York Department of Health, New York State Certificate and Record of Birth certificate no. 3804 (1904), Arthur Knowles; PDF, Municipal Archives, New York City.
Attached is the header of the document for viewing.