Eivo, Chana, Shila, Marta and R' Chiyya were all sons of Abba bar Acha Karsela from Kafri: Sanhedrin 5a-b
Adding a prayer to the end of the Amidah, for HaShem's Assistance in giving us strength to learn Torah: Berachot 16b
Tablets he had, with Biblical verses written on them, used by Rav as proof for the structure of certain phrases: Pesachim 117a
Information on a Scroll found in his Study Hall: Shabbat 96b
Uncle of Rav from the marriage of his half-brother and half-sister: Pesachim 4a, Moed Katan 20a
Labelled "Bavli Echad [One Babylonian]" in a story: Ketuvot 5a
Asked his wife to be careful to bring bread out to meet any pauper who would come by, so that people would be nice to his children when they would become poor: Shabbat 151b
The Angel of Death couldn't get close to R' Chiyya until he pretended to be a pauper, and when R' Chiyya gave him bread he asked, "Now why won't you have mercy on me in my job as the Angel of Death?" and killed him: Moed Katan 28a
The eulogy for him: Moed Katan 25b
Claimed that he was enough of a public expert that he could judge financial cases alone: Sanhedrin 5a
R' Chiyya threw a clod of earth at the Moon when it appeared in broad view in contradiction of a court's decision to alter the calendar for the public benefit: Rosh HaShanah 25a
R' Chiyya's form of "Gematria,", known as "Atbach": Succah 52b
How he began his teaching of the Purim Story: Megillah 11a
R' Chiyya calling a man he knew to be a Kohen, to tell him to leave a cemetery; it turned out that the Kohen was of flawed lineage: Sanhedrin 5b
Moved from Bavel to Israel: Keritot 8a
Personal Practices
How R' Chiyya performed Havdalah ending Shabbat: Pesachim 54a
R' Chiyya having his students move the sheaves from a field on Shabbat, each one moving less than 4 Cubits, to make room for the Lesson: Shabbat 127a
How R' Chiyya's Phylacteries were sewn together: Makkot 11a
When R' Chiyya learned in Rebbe's study hall and ate at his table, he said there was no need for him to make an individual donation to the meal merging their properties to permit transportation between them on Shabbat. Rav did the same, when he learned in R' Chiyya's study hall: Eruvin 73a
How Rav and R' Chiyya's wives prepared barley kernels for them on Shabbat: Beitzah 13b
Rebbe suffered an amnesic illness, and had 7/13 of his teaching re-taught to him by R' Chiyya and the rest by a local launderer who had overheard him studying: Nedarim 41a
Labelled "Iyya," an insulting alteration of his name, by Rebbe: Moed Katan 16b
Rebbe ex-communicated R' Chiyya for teaching in public after Rebbe ruled that it shouldn't be done: Moed Katan 16a-b
Rebbe told R' Chiyya, "If you read it you didn't repeat it, if you repeated it you didn't learn it thrice, and if you did that it wasn't explained to you": Moed Katan 16b
Rebbe sending R' Chiyya to declare the new month in another town, and send a signal "King David is alive and 'standing'": Rosh HaShanah 25a
R' Chiyya asked Rebbe to give judicial license to Rabbah bar Chana: Sanhedrin 5a-b
R' Chiyya asked Rebbe to give judicial license to Rav; Rebbe gave him limited permission: Sanhedrin 5a-b
R' Chiyya not standing before R' Shimon bar Rebbe in a bathhouse, and R' Shimon getting upset and complaining to Rebbe: Kiddushin 33a
R' Chiyya pointed out R' Shimon bar Rebbe's deep voice, as a blemish for a Levite; R' Shimon complained to Rebbe, who pointed out R' Chiyya's own speech impediment, substituing "Hey" for "Chet": Megillah 24b
Received license to judge cases from Rebbe: Sanhedrin 5a
Rav Ashi said, regarding a lesson taught by both Rebbe and R' Chiyya, "Had Rebbe not taught it, how would R' Chiyya have known it?": Eruvin 92a
His sons Yehudah and Chizkiyah
R' Chiyya and his sons, as the restorers of Torah when it had largely been forgotten: Succah 20a
R' Chiyya's sons going out to their farms and forgetting their learning: Berachot 18b
R' Chiyya's sons going out to their farms and presenting an incorrect ruling, which their father than told them to correct: Beitzah 9b
The labor pain of his wife, Yehudit, in birthing twin sons Yehudah and Chizkiyah: Kiddushin 12b
Reish Lakish using the phrase "May I be a merit towards the forgiveness of R' Chiyya and his Sons," in respect for his deceased teacher: Succah 20a
Originally, his son Yehuda was buried on his right, and his son Chizkiyah on his left: Moed Katan 25a
Interaction with other Sages
R' Chiyya is considered a Sage of the Mishnah, and so may argue with a Mishnah: Bava Metzia 5a
As "Chaviva/Chavivi [Friend]" of Rav: Eruvin 12b; Pesachim 117a; Yevamot 102a; Bava Metzia 76b; Makkot 3b, 11a
Labelled "Bavlai [Babylonian]" by R' Yishmael Ben R' Yosi: Eruvin 80a
Labelled "Rebbe" by Zeiri: Shabbat 156a
Labelling Rav "Bar Pachti [Son of Rulers]": Berachot 13b
Gave Rav license to judge cases: Sanhedrin 5a
Rav Huna was buried next to R' Chiyya, because they both spread Torah among the Jews: Moed Katan 25a
Rav's care in telling R' Chiyya of his parents' death: Pesachim 4a, Moed Katan 20a-b
Rav reporting details regarding R' Chiyya's phylacteries: Makkot 11a
Rav Yosef citing the practice of R' Chiyya: Niddah 14a
R' Chiyya and R' Yonatan walking in a cemetery, and their dialogue on the awareness of the dead: Berachot 18a-b
Explained the laws of judicial liability to Rabbah bar Chana: Sanhedrin 5a
R' Yosi ben R' Chanina heard a strict legal opinion by R' Chiyya, and laughed at it, not because it was strict but because he knew that there was a specific leniency applicable for that case: Eruvin 47b-48a
The way R' Zeira merged the properties in the town of R' Chiyya's study hall, to permit transport between the properties on Shabbat: Eruvin 59b Rav Hoshia learned before Bar Kappara, and then went to learn before R' Chiyya. When he subsequently asked Bar Kappara a question, Bar Kappara asked what R' Chiyya, "the Babylonian," would say. When Rav Hoshia couldn't answer, Bar Kappara mocked R' Chiyya, calling him 'Iyya.': Keritot 8a