A broken compass was found in the bronze warehouse. Shen Zhi, a 32-year-old cultural relics digitization specialist, glanced at the Bagua symbols on it and felt that the arrangement was wrong.
She took a photo and ran it through the comparison software she wrote. The hexagram order corresponding to the symbols is exactly the same as the arrangement of the pi numbers starting from the 1024th digit after the decimal point after they are converted into binary.
This is not a cultural relic.
That night she went alone to the sundial in front of the Hall of Supreme Harmony, and indexed it using the scale on the outer ring of the compass - the correct reading was determined by the odd and even decimal places of the pi - the keyhole read two fifty-eight in the morning. A crack opened in the base of the sundial, and inside lay a copper key. The teeth were a variation of the integral symbol, and the handle was engraved with twelve characters. She recognized them at a glance as the Chinese expression for Gödel's incompleteness theorem.
A 20th-century mathematical proposition is embedded in a seven-hundred-year-old bronze.
Intention:1