How did ascrībō shift from literally meaning 'write', to figuratively meaning 'impute, attribute'?

Without explanation, Lewis & Short jumps from

‘to annex by writing, to add to a writing’

to

B. Trop. 1. To impute, ascribe, attribute to one the cause of something’.

Etymonline fails at explanation also. How’s ‘write’ semantically related to ‘impute’?

Latin ascribere “to write in, enter in a list; add to in a writing,” figuratively “impute, attribute,”
from ad “to” (see [ad-]) +
scriber “to write” (from PIE root [*skribh-] “to cut”
)

A scribe is a writer who, in some cases, copies the writing of others, but the original author is still a scribe.

So a written work was ascribed to its original scribe.

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Just a shot in the dark.