Perhaps the most significant event in Stieltjes' life, as far as mathematics was concerned, occurred on 8 November 1882 when he began a correspondence with Hermite which was to last the rest of his life (which would only be 12 more years during which time they exchanged 432 letters).
Marahil ang pinaka-makabuluhang kaganapan sa Stieltjes' buhay, gaya malayo gaya sa matematika ay nag-aalala, ang naganap sa 8 Nobyembre 1882 kung kailan siya nagsimula ng isang sulat na may Hermite na kung saan ay sa huling ang natitirang bahagi ng kanyang buhay (kung saan nais lamang ay 12 more years sa panahon na kung saan nila time palitan 432 titik).