Ahh, lovely customer service. I emailed the support desk at CSA Illumina to see if there was any way to create a persistent URL to an article in their product (no mention in the help files that I could find) and they responded a couple hours later with what amounted to a "nope, sorry". In the meantime I had searched Google and found this page that describes how to find the persistent URL. Three hours later the one I built is still working, so I’m blogging it so as not to forget where to find that puppy. Thanks Manfred!
And just to collect these in one place, previously I had noted these excellent collections of how to create links for various products. How to create persistent links Guides and A Guide to Linking into the Full Text Databases.