We meet Rav Hana bar Hanilai again TB Beitza 40

 On the last daf of our massekhet, TB Beitza 40, we meet Rav Hana bar Hanilai again.He was a second generation Babylonian amora and was a leader of the Jewish community next to the city Sura.  Rav Hana bar Hanilai was a very rich person and was famous for his tzedakah and welcoming guests into his home. He not only treated the poor graciously, but also made sure that when he helps them he maintained their inherent dignity as the following story illustrates.

"Ulla and Rav Ḥisda were once walking along the road when they came upon the doorway of the house of Rav Ḥana bar Ḥanilai. ...We see this house where there were sixty cooks during the day and sixty cooks at night who would cook for anyone in need, and Rav Ḥana never removed his hand from his pocket because he thought: Perhaps a well-born poor person might come and in the time that passed until he put his hand in his pocket to give him charity, the poor person would be embarrassed. Moreover, that house had four doors open in all four directions, and anyone who entered hungry left satiated. And they would scatter wheat and barley outside during years of drought so that anyone who was embarrassed to take the grain during the day could come and take it at night." (Berakhot 58b,Sefaria.org translation)

The Gemara has been discussing how a tekhum impacts an object on Yom Tov or Shabbat. At first glance it seems that  he asks his teacher a question on this topic. "Rav Ḥana bar Ḥanilai once hung meat on the bar of the door of his host’s house, located outside his own town. He subsequently wondered if he was permitted to take the meat home with him, since he had made an eiruv enabling him to walk from his home to his host’s home. He came before Rav Huna to ask his opinion. Rav Huna said to him: If you yourself hung the meat, go take it, but if your hosts hung it for you, you may not take it." (Sefaria.org translation)

The Gemara doesn't understand Rav Huna's answer because no one before ever suggested that the person hanging the meat was a determining factor whose tekhum it belongs to. Ultimately the Gemara provides us more context to the story and insight into Rav Hana bar Hanilai . "Rather, the problem with the meat concerns a completely different matter.The issue under consideration is not the establishment of its place of rest but the prohibition against eating meat that has been left unobserved, due to the concern that it might have been exchanged for prohibited meat. "Rav Ḥana bar Ḥanilai is different from the average person, as he is a great man and occupied with his studies, and this is what Rav Huna said to him: If you yourself hung it, in which case you noticed some recognizable mark on the meat and your attention was not diverted from it, the meat is not forbidden for having been left unobserved, and therefore you may go and take it. However, if the hosts hung it for you, you thereby diverted your attention from it, and they too did not pay careful attention to it after hanging it on your behalf. In that case, it is considered meat that has been left unobserved, and you may therefore not take it." (Sefaria.org translation) We are forbidden to eat meat that has been unsupervised for a period of time (   בשר שנתעלם מן העין) for fear that the kosher meat has been replaced by non kosher meat. If there's some type of marking that the meat is kosher, we don't have to worry about it being unsupervised. 

From the story we could say that Rav Ḥana bar Ḥanilai was an "absent-minded professor." He was so involved in his studies that he didn't pay attention to the world around him.