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Our daf relates that Esther requested from the Chachamim permission to record the miracle of Purim in writing. They dissented based on the verse in Mishlei (22:20) which says, "Have I not written for you a threesome (Shalishim)?" The verse implies that the defeat of Amalek may be recorded in writing only three times and no more.
The Chachamim, however, later agreed to Esther's request. They derived from a verse in the Torah that the miracle of the defeat of Amalek in the times of Esther may be written in a Sefer.
The Rabbis also offer various proofs that the Book of Esther was written with (ruach hakodesh) the spirit of divine inspiration. They derive this from the various verses that reflect the thought of the characters, or that attest to actions of which a normal person could not be cognizant, such as “Haman said to himself” (Esth. 6:6), or the definite statement, that could be known only to God: “but they did not lay hands on the spoil” (9:10). This book therefore has the same sanctity as the other books of Scripture.