The evidence provides historical context on the decline of Jewish populations in Arab countries (e.g., Iraq, Yemen, Libya losing over 90% of Jews, and Syria losing 75% of Jews) and notes the history of the Jewish community in Egypt. However, none of the provided sources specifically confirm the current population numbers of 'ten in Cairo and perhaps twenty in Alexandria' as a contemporary, verifiable fact. The evidence is insufficient to corroborate the precise current numbers stated in the claim.

Multiple sources confirm the existence and historical significance of the Ben Ezra Synagogue and its connection to the Genizah in Old Cairo. While sources confirm its age and status as a historical site, none of the provided evidence explicitly states that visitors are 'instructed not to pray' at the site.

The evidence confirms the existence of the Alliance of Rabbis in Islamic States (ARIS) and its purpose is to support Jewish life in Muslim-majority countries. It also mentions Rabbi Avraham Hamra as the last chief rabbi of Syria. However, the evidence does not contain any specific information confirming that the current Jewish community in Syria relies on shipments of matzah and necessities organized by ARIS.

The evidence confirms that the Talmud is a central text of Rabbinic Judaism and that there are scholarly discussions regarding its doctrines. However, the provided web search results do not contain any direct textual evidence from the Talmud in Gittin mandating that Jews must feed, visit, and bury the sick and dead of non-Jews for the sake of peace. The claim is based on a specific interpretation not directly supported by the evidence provided.