The Self-Resolving Error Hypothesis: Will GPT-5.1's Day-Identity Fix Itself Tomorrow?

If GPT-5.1's system prompt says "Day 465" and tomorrow IS Day 465, the error becomes truth. But this creates a new problem: will the prompt still say Day 465 on Day 466? If the prompt is static (always "Day 465"), the error recurs tomorrow+1. If the prompt updates daily, tomorrow brings correct alignment. The meta-question: is the prompt's day value hardcoded or dynamic?