January 4th is the Eleventh Day of Christmas. The eleven pipers piping represent the eleven original Apostles, not including Judas Iscariot. Judas was excluded because of his betrayal of Jesus.
The Eleventh Day of Christmas is also the feast day of St. Simon Stylites, an ascetic monk who lived on top of a small pillar for thirty-seven years. His life inspired many ascetics after him to live atop pillars (stylites) as well.
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I do not seek to understand that I may believe, but I believe in order to understand. For this also I believe, –that unless I believed, I should not understand.-- St. Anselm of Canterbury (1033-1109)