Answer :
You need to be able to write the myth in your own words. Libraries are a more modern idea that was not around in the Greek times.
If you would like to go in that direction anyway, why not rewrite the story of Athena and Arachnid but instead of weaving tapestries, have them write stories using thread to each write a book on cloth, much like the old-fashioned samplers. The "books" would hang on the wall in olympus and tell their stories, like a sampler. This inspired mortals to write stories for themselves and use murals, and papyrus to write upon and share their books, becoming the first library.
If you would like to go in that direction anyway, why not rewrite the story of Athena and Arachnid but instead of weaving tapestries, have them write stories using thread to each write a book on cloth, much like the old-fashioned samplers. The "books" would hang on the wall in olympus and tell their stories, like a sampler. This inspired mortals to write stories for themselves and use murals, and papyrus to write upon and share their books, becoming the first library.
Use the Arachne myth it if very popular and will help u with you progect