Change for a perduring entity requires that numerically distinct temporal parts differ intrinsically, but distributing knowledge across parts entails no part itself undergoes change.

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Perduring entity(as used in metaphysics (the study of what exists)): Something that continues to exist over time as a single, unified thing—like you, who remains 'you' from childhood to adulthood even though you change.
Temporal parts(Four-dimensionalist solution to the problem of change): Distinct stages of a temporally extended object, such that the puppy Oscar and the old gray-muzzled Oscar are distinct parts of the whole Oscar
intrinsically(as opposed to something being miraculous only when compared to expectations): Built into something's very nature or essence; part of what makes it what it is, independent of outside factors.
knowledge(Distinguished from mere true belief, which may be the product of indoctrination and need not exercise deliberative capacities.): Justified true belief — true belief that has been arrived at through the exercise of deliberative capacities, including comparison of and deliberation among alternatives.

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