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The sources found do not directly address the origins or halakhic status of a bar-mitzvah bochur delivering a lomdishe pilpul. However, they establish that a bar-mitzvah celebration includes a festive meal and that Torah study, including peer discussion (pilpul), is a central practice for transmitting Jewish learning. The sources distinguish between the formal obligations of bar-mitzvah status and customary celebratory practices.
מצוה על האדם לעשות סעודה ביום שנעשו בנו בר מצוה