Reference for Arakhin 1:3

הַגּוֹסֵס, וְהַיּוֹצֵא לֵהָרֵג, לֹא נִדָּר וְלֹא נֶעֱרָךְ. רַבִּי חֲנִינָא בֶּן עֲקַבְיָא אוֹמֵר, נֶעֱרָךְ, מִפְּנֵי שֶׁדָּמָיו קְצוּבִין, אֲבָל אֵינוֹ נִדָּר, מִפְּנֵי שֶׁאֵין דָּמָיו קְצוּבִין. רַבִּי יוֹסֵי אוֹמֵר, נוֹדֵר וּמַעֲרִיךְ וּמַקְדִּישׁ. וְאִם הִזִּיק, חַיָּב בַּתַּשְׁלוּמִין:

One at the point of death or about to be put to death cannot have one's worth vowed, nor can one be evaluated. Rabbi Chanina ben 'Akavia says: One can be evaluated because one's value is fixed, but one's worth cannot be vowed because his worth is not fixed. Rabbi Yose says: he may vow, evaluate, and consecrate [to the sanctuary], and if he caused damage, he is obliged to make restitution.

Jastrow