In the previous Mishnah, we spoke about the blood applications on the korbanot (offerings) that were in the courtyard of the Bet HaMikdash. The Mizbeach (altar) there was the one that was utilized. We spoke about the chatat (sin offering) that was performed on the outer Mizbeach. Generally, the korban chatat had blood applied to four corners of the Mizbeach. At least two of those applications were essential: blood had to be applied to two corners of the Mizbeach, while Bet Hillel said that only one was essential.
In this Mishnah, we'll talk about the inner chatat, the chatat blood that is sprinkled inside the Heichal building in the Kodesh (holy place) or the Kodesh HaKodashim. The Mishnah says, “Kol ha-nitanin al Mizbeach ha-Penimi.” All korbanot whose blood is put on the inner Mizbeach, the one that's inside the Heichal. The Heichal was a building that consisted of two different rooms, the Kodesh and the Kodesh HaKodashim. The Mizbeach there was used on a daily basis for the Ketoret (incense). Certain chatat offerings also had the blood sprinkled on top of the Mizbeach in this spot.
So, when talking about those korbanot, “Im chisar achat min hamatanot lo kipper.” If the Kohen (priest) left even one of the applications undone, then he did not receive atonement to the person for that korban because the offering was considered invalid. This is learned from the Pasuk (verse): “Lefichach im natan kulan ketiknan ve'achat shelo ketiknah pasul.” So if the Kohen made all the applications properly, with the proper kavanot (intentions), but he left one of them done improperly, that means he had an improper intention when applying it: he was going to use the korban past the proper time. We say pasul (invalid) because he had an intention that was not okay when making a necessary blood application.
This is because, as we said, all of the blood applications here are essential, as opposed to what happened in the chatat that was bachutz, that was outside of the Heichal, in the courtyard, where only one of them, according to Bet Hillel, was essential. Here we say all of them are essential, so one improper intention on any of the applications is a problem. “Ve'ein bo karet” (excision), but there's no karet for eating the meat.
We say that there's no karet because all of the blood sprinklings on the inner chatat have to be done in order to eventually permit the imurim (sacrificial portions) of that chatat to be burned on the Mizbeach. Therefore, since the blood wasn't done correctly, the korban cannot become pigul because of an improper thought, because you don't have the matir, you don't have the rest of the service that's possible to be done. In other words, something else becomes problematic. Since the sprinklings aren't done correctly, the imurim cannot be done properly. Therefore, pigul only kicks in when it's the only issue that becomes problematic. Since there's another separate issue that this creates, which is that the imurim can't be burned properly on the Mizbeach, we say there's no pigul.

