Kerisus6: 2
אָשָׁם וַדַּאי אֵינוֹ כֵן. אִם עַד שֶׁלֹּא נִשְׁחַט, יֵצֵא וְיִרְעֶה בָעֵדֶר. מִשֶּׁנִּשְׁחַט, הֲרֵי זֶּה יִקָּבֵר. נִזְרַק הַדָּם, הַבָּשָׂר יֵצֵא לְבֵית הַשְּׂרֵפָה.  שׁוֹר הַנִּסְקָל אֵינוֹ כֵן. אִם עַד שֶׁלֹּא נִסְקַל, יֵצֵא וְיִרְעֶה בָעֵדֶר. מִשֶּׁנִּסְקַל, מֻתָּר בַּהֲנָאָה. עֶגְלָה עֲרוּפָה אֵינָהּ כֵּן. אִם עַד שֶׁלֹּא נֶעֶרְפָה, תֵּצֵא וְתִרְעֶה בָעֵדֶר. מִשֶּׁנֶּעֶרְפָה, תִּקָּבֵר בִּמְקוֹמָהּ, שֶׁעַל סָפֵק בָּאָה מִתְּחִלָּתָהּ — כִּפְּרָה סְפֵקָהּ וְהָלְכָה לָהּ.
An asham vaddai is unlike this. If it had not yet been slaughtered, it may go forth and graze with the flock. [If] it had already been slaughtered, it must be buried. [If] the blood had been thrown, the meat must be removed to the place of burning. An ox which is [to be] stoned is unlike this. If it had not yet been stoned, it may go forth and graze with the herd. If it had already been stoned, it is permissible to derive benefit from it. A calf that is [to be] decapitated is unlike this. If it had not yet been decapitated, it may go forth and graze with the herd. [After the calf] has been decapitated, it must be buried at its site, for it originally came [to atone] for a doubtful situation — [once] it has atoned for its doubt, its purpose has been fulfilled.
Kerisus6: 3
רַבִּי אֱלִיעֶזֶר אוֹמֵר: מִתְנַדֵּב אָדָם אָשָׁם תָּלוּי בְּכָל־יוֹם וּבְכָל־שָׁעָה שֶׁיִּרְצֶה, וְהִיא נִקְרֵאת אֲשַׁם חֲסִידִים. אָמְרוּ עָלָיו עַל בָּבָא בֶּן בּוּטִי, שֶׁהָיָה מִתְנַדֵּב אָשָׁם תָּלוּי בְּכָל־יוֹם, חוּץ מֵאַחַר יוֹם הַכִּפּוּרִים יוֹם אֶחָד. אָמַר: הַמָּעוֹן הַזֶּה! אִלּוּ הָיוּ מַנִּיחִים לִי, הָיִיתִי מֵבִיא, אֶלָּא אוֹמְרִים לִי: הַמְתֵּן עַד שֶׁתִּכָּנֵס לְסָפֵק. וַחֲכָמִים אוֹמְרִים: אֵין מְבִיאִין אָשָׁם תָּלוּי אֶלָּא עַל־דָּבָר שֶׁזְּדוֹנוֹ כָּרֵת וְשִׁגְגָתוֹ חַטָּאת.
R’ Eliezer says: A person may donate an asham talui any day or any time that he wishes, and this is called the asham of the pious. It was said concerning Bava ben Buti that he would donate an asham talui every day, except one day after Yom Kippur. He said: By this Temple! Were they to permit me, I would bring it, but they tell me: Wait until you come into a doubt. But the Sages say: We may not bring an asham talui except for something which, if intentional, [bears a penalty of] kares and, if unintentional, [is liable to a] chatas.