A verb appearing as G. saitha- or saictha- “to have hunger” in the Gnomish Lexicon of the 1910s “hungry” (GL/66), clearly based on the early root ᴱ√SAẎA “hunger” which was mostly used in combination with -kǝ (QL/82). The primitive form was probably *saiktā-. Tolkien said this verb was used both personally and impersonally.

Neo-Sindarin: For purposes of Neo-Sindarin, I adapt this verb as ᴺS. saetha- from the Neo-Root ᴺ√SAYAK, but I assume it is a causative verb meaning “to cause hunger”. I think this alternate meaning aligns better with Tolkien’s statement that the verb is “personal and also impersonal”. Hence “I am hungry” would be saetha annin “hunger is caused to me”.