Uniform-transcendental master-integral conjecture

A master integral is one of the finitely many basis integrals to which the integrals of a topology reduce through integration-by-parts identities. A master integral is uniformly transcendental when its terms have uniform transcendental weight, and it has a unit leading singularity when its leading singularity equals one. Uniform-transcendental basis conjecture. For every topology there is a set of uniformly transcendental master integrals with unit leading singularity. The source attributes this conjecture to recent work and contrasts it with the proven finiteness of the number of master integrals; its general status is unresolved.