Smith family

The Sumisu-ke (スミス家) was one of several families that lived within the Walls. It was the family where Commander Erwin Smith hailed from.

History
Mr. Smith was a teacher and had his son as one of his pupils. After Erwin asked his father a question during class, Mr. Smith eventually told his son a dangerous theory. Official history books being full of contradictions and mysteries, Mr. Smith believed that humanity's memory has been wiped out at some point, which might explain there is no story or memories of the Walls construction. This theory cost his life to Mr. Smith but encouraged Erwin to seek out the truth about the world's origins and prove his father's guess was correct.

Later on, Erwin joined the army then the Survey Corps.

At some point, Erwin came up with the Long-Distance Enemy Scouting Formation as a new tactic for the Survey Corps. At first rejected by his superior, it eventually became the formation used for every expedition once Erwin becomes the Commander.

Clash of the Titans arc
After Eren has been captured by the Armored Titan and the Colossus Titan, Erwin leads a group composed of Survey Corps and Military Police Brigade members. In order to weaken the Armored Titan's defenses, Erwin manages to lead a horde of Titans towards him. He looses his right arm and around 60% of the soldiers perish in the operation nevertheless they were successful.

The Uprising arc
Erwin has a discussion with Commander Pixis where he mentions the conversation he had with his father as a child and resulted in the death of Mr. Smith.