Following the Babylonian exile, the Jews gradually stopped using the Paleo-Hebrew script, and instead adopted a "square" form of the Aramaic alphabet.
This "square" variant of Aramaic developed into the Hebrew alphabet proper during the Second Temple period, in a process that was not complete before the 1st century CE; for example, the letter samekh developed its closed or circular form only in the middle Hasmonean period, around 100 BCE, and this variant becomes the standard form in early Herodian hands, in the 1st century CE.
[7] The Hebrew alphabet was later adapted in order to write down the languages of the Jewish diaspora (Karaim, Kivruli, Judæo-Arabic, Ladino, Yiddish, etc.
), and was retained all the while in relatively unadapted form throughout the diaspora for Hebrew, which remained the language of Jewish law, scriptures and scholarship.
[13] According to both opinions, Ezra the Scribe (c. 500 BCE) introduced, or reintroduced the Assyrian script to be used as the primary alphabet for the Hebrew language.