Whether definite knowledge of one's obligation to bring the korban is necessary before bringing a chatat which is brought to enable the bringer to eat from korbanot, as opposed to a chatat which is brought to atone for sin: Keritot 7b
Do two people bring a joint, conditional korban chatat if they know that one of them definitely sinned, but they don't know which: Keritot 23a
Do two people bring a joint, conditional korban chatat which is not actually atoning for sin [but rather is meant to enable the bringer to eat from korbanot], if they know that one of them definitely sinned, but they don't know which: Keritot 23a
Whether one must find out about the sin afterward [and the specifics of which sin he committed], before he can bring the offering: Shabbat 69a; Keritot 19a-b
An irrational person doesn't bring an offering to atone for a sin: Nedarim 36a
What happens if a court rules incorrectly that an action is permitted: Zevachim 12b
Does liability require knowledge of the prohibition, before one forgot: Shabbat 72a; Keritot 19a
Is "partial knowledge" of the prohibition like complete knowledge: Keritot 19a
Whether testimony of witnesses to a sin, alone, is enough to require a korban chatat: Bava Metzia 3b; Keritot 11b-12b
The principle that people are credible to declare their own innocence, where they have the possibility of admitting guilt and atoning ["Adam ne'eman al atzmo yoteir mimeiah ish"]: Keritot 12a-b
Admitting that a sin was intentional, against the word of witnesses: Bava Metzia 3b
One who thinks he is performing a permitted act, but in fact is doing something else: Shabbat 73a
One who thinks he is performing a mitzvah or is busy with a mitzvah, when he is actually performing an aveirah: Shabbat 137a
One who learns of the prohibition he is violating after he has started the act, and forgets it before he has completed the act: Shabbat 102a; Keritot 17a [yediah l'chatzi shiur]
Liability for one or more korbanot chatat for entering the Beit haMikdash after walking on one of two paths, where one of those paths contains something that would communicate impurity to a traveller: Keritot 18b-19a
Liability for one or more korbanot chatat for entering the Beit haMikdash after walking on both of two paths, where one of those paths contains something that would communicate impurity to a traveller: Keritot 18b-19a
Liability for one or more korbanot chatat for entering the Beit haMikdash after walking on both of two paths, where one of those paths contains something that would communicate impurity to a traveller, and one was purified in between the trips on the paths: Keritot 18b-19a