And there was another incident in which two witnesses came and said: We saw the new moon at its anticipated time, i.e., on the night of the thirtieth day of the previous month; however, on the following night, i.e., the start of the thirty-first, which is often the determinant of a full, thirty-day month, it was not seen. And nevertheless Rabban Gamliel accepted their testimony and established the New Moon on the thirtieth day.
אָמַר רַבִּי דּוֹסָא בֶּן הוֹרְכִּינָס: עֵדֵי שֶׁקֶר הֵן... שָׁלַח לוֹ רַבָּן גַּמְלִיאֵל: גּוֹזְרַנִי עָלֶיךָ שֶׁתָּבֹא אֶצְלִי בְּמַקֶּלְךָ וּבִמְעוֹתֶיךָ בְּיוֹם הַכִּפּוּרִים שֶׁחָל לִהְיוֹת בְּחֶשְׁבּוֹנֶךָ.
Rabbi Dosa ben Horkinas disagreed and said: They are false witnesses... Upon hearing that Rabbi Yehoshua had challenged his ruling, Rabban Gamliel sent a message to him: I decree against you that you must appear before me with your staff and with your money on the day on which Yom Kippur occurs according to your calculation; according to my calculation...
הָלַךְ וּמְצָאוֹ רַבִּי עֲקִיבָא מֵיצֵר...
Rabbi Akiva went and found Rabbi Yehoshua distressed that the head of the Great Sanhedrin was forcing him to desecrate the day that he maintained was Yom Kippur...
When Rabbi Yehoshua heard that even Rabbi Dosa ben Horkinas maintained that they must submit to Rabban Gamliel’s decision, he (Rabbi Yehoshua) took his staff and his money in his hand, and went to Yavne to Rabban Gamliel on the day on which Yom Kippur occurred according to his own calculation. Upon seeing him, Rabban Gamliel stood up and kissed him on his head. He said to him: Come in peace, my teacher and my student. You are my teacher in wisdom, as Rabbi Yehoshua was wiser than anyone else in his generation, and you are my student, as you accepted my statement, despite your disagreement.