たしか
if I remember right, I believe
たしか + (half-remembered fact)
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たしか at the start of a statement means "if I remember correctly": 会議はたしか三時からだったと思う, "I think the meeting was from three, if I remember right".
It hedges a memory: the speaker is fairly sure, but not certain. It often pairs with と思う, はずだ or だった.
It comes from 確か, "certain", and as a な-adjective 確かな means "reliable, certain": 確かな情報, "reliable information". The adverb use is almost the opposite: it signals slight uncertainty.
Compare きっと, a confident guess about something you can't know, and やっぱり, which confirms something. たしか is about memory.
Examples
会議はたしか三時からだったと思う。
I think the meeting was from three, if I remember right.
彼はたしか大阪出身だった。
He's from Osaka, if I'm not mistaken.
その本はたしか机の上にあったはずだ。
That book should be on the desk, if I remember right.
たしか、ここに鍵を置いたんだけど。
I'm pretty sure I put my keys here.
田中さんの誕生日はたしか五月だった。
Tanaka's birthday is in May, if I remember right.