Papa Smurf has got a red hat . While Papa Smurf would sometimes prefer not to have to constantly fix problems , he came to realize it was his calling . One time he said that because he may not be able to be the village leader forever , every Smurf should have a brief experience of commanding the village , which was signified by him handing over his signature red hat and having the designated Smurf wear it and direct others on a construction project .