interesting project; I’m not really sure how useful it is for field-specific stuff—I'm searching for “image reduction astronomy”, and it shows all sorts of related but not image-reduction work (including noise reduction which is not the same thing). I’m not really familiar with vector search enough to evaluate it well enough.

However I can give you the heads-up that the abstracts don't render well because (La)TeX is interpreted as markdown so that

    Paper~1 shows something and Paper~2 shows something else

will strikethrough the text between the tildes (whereas they are meant to be non-breaking spaces). Similarly for the backtick which makes text monospaced in the rendered output but is simply supposed to be the opening quote.