The function of money is
1. Medium of exchange
2. Store of value
3. Unit of account
Centralization is not a prerequisite or function of money but a function of fiat. Fiat money or debt based money never allow final settlement of debt so you can't escape trusted third parties and centralization. P2p physical gold and bitcoin provide final settlement of trade. Since its difficult to trade physical gold over Internet without a digital derivative on a trusted party it can't win against bitcoin as a sound money for the digital age.