When carrying out raw materials to make dye (like peels from pomegranates) the minimum size for liability is only if it’s enough to make dye to color the cloth on top of a woman’s hat. But if someone carries actual dye, already produced, the size is smaller- enough to dye a sample.

There are five things used las detergents mentioned in the Mishna. Like 40 day old urine, sulfur, sand etc. Carrying these is significant bc it can clean. The size is to clean that small cloth and r Yehuda says the size to clean niddah stain.

Type of pepper that fights bad breath. Even tiny amount is liable for carrying. Tiny amount of tar is liable bc it helps migraine. Tiny amount of perfume also liable. Tiny piece of metal liable bc it can be used or Ox goad.

If someone vaguely donates to the beis Hamikdash, like he says I will give iron without specifying an amount, he must give a minimum amount that the temple can use. It would be 1x1 Ammah of iron that could be used to scare away birds from the roof. If someone pledges to give copper, they must give at least an amount equal to one maah of silver, or a copper fork which was used to prepare wicks of the menorah.

Worn out scrolls must be placed in geniza. Even small amount one is liable for carrying bc its significance is that is must be placed in genizah.

Someone who Carries a box of perfumes with many smaller boxes inside is only obligated one Chatas bc it’s considered one act of carrying

Minimum amount of seeds to be liable for carrying is a dispute. Either a little less than a dried fog which is significant for planting or (r Yehuda) 5 seeds. Valuable seeds, like cucumbers, even just 2 seeds. Once a seed is already planted, even one is significant, so carrying fertilizer sufficient for just one stalk is liable.

Two hairs from the tail of a horse or cow is liable. (Make traps out of them) one bristle from pigs back is liable (used in stitching)

There’s a certain bird from orchard that is used to assist ones learning. It somehow helps one remember knowledge. Any amount of this bird is liable for carrying bc its significant for this usage.

A live kosher grasshopper is significant even small size bc it can be used as a toy for a child. However, this is only a kosher one bc it’s forbidden to give a non kosher one to kid to play bc the kid may eat it if it dies. R Yehuda says even a non kosher one can be a toy and the kid would not eat it after it would die, bc, on the contrary, he would eulogize it.