וַיֹּ֣אמֶר אֱלֹהִ֗ים זֹ֤את אֽוֹת־הַבְּרִית֙ אֲשֶׁר־אֲנִ֣י נֹתֵ֗ן בֵּינִי֙ וּבֵ֣ינֵיכֶ֔ם וּבֵ֛ין כָּל־נֶ֥פֶשׁ חַיָּ֖ה אֲשֶׁ֣ר אִתְּכֶ֑ם לְדֹרֹ֖ת עוֹלָֽם׃
Dieu ajouta: "Ceci est le signe de l’alliance que j’établis, pour une durée perpétuelle, entre moi et vous, et tous les êtres animés qui sont avec vous.
Peninei Halakhah, Berakhot
The special formula of this blessing is intended to relate to the covenant God made with Noah and his offspring, that there would never again be a flood over the [whole] world, as it is stated: God further said, “This is the sign that I set for the covenant between Me and you, and every living creature with you, for all ages to come. I have set My bow in the clouds, and it shall serve as a sign of the covenant between Me and the earth. When I bring clouds over the earth, and the bow appears in the clouds, I will remember My covenant between Me and you and every living creature among all flesh, so that the waters shall never again become a flood to destroy all flesh. When the bow is in the clouds, I will see it and remember the everlasting covenant between God and all living creatures, all flesh that is on earth. (Genesis 9:12-16).