I don’t think it’s Geastrum or related to a puffball. It’s thinner. I believe it’s some kind of a polypore. The seemingly apical pore is actually the attachment of the fungus to it’s wood substrate.
MO 174094 is the same as 173438. This obs (174094) has an apical pore near the center of the fungus, suggesting a puffball or puffball-like fungus.
173438 has no apical pore, instead breaking open irregularly to expose a roundish gleba, more like Geastrum, but without a pedicel or sterile base. I think that removes Geastrum from the possibilities.