I can't point exactly to any particular thing, but I can tell you how to identify them! The magic words are "Assuming the Riemann Hypothesis..." Any time you s

I can't point exactly to any particular thing, but I can tell you how to identify them! The magic words are "Assuming the Riemann Hypothesis..." Any time you see somebody say "We assume RH," or "assuming RH," then any stepping stone to RH makes this assumption more reasonable/likely/anticipated. At this point many working mathematicians will hold opinions like "RH is true" or "RH is true or there's a Siegel zero" so this is kind of like assuming plate tectonics in a seismology paper, or assuming human interference in the atmosphere in a climatology paper. In cryptography, the only times I can recall having seen it, they meant only "assuming the primes are remarkably well-behaved in their distribution." The primes are empirically remarkably well-behaved, including in the neighborhoods of typical RSA keys. So this is not surprising or unexpected, and improvements on RH should only reinforce our confidence in our empirical techniques.