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RE: Random Thoughts: How Hierarchical Blockchains Can Allow Mobile Devices To Become Full Nodes
For coins that obscure the values of the coins, this is a problem. This is mainly an issue with privacy coins:
https://zcoin.io/zcoins-privacy-technology-compares-competition and I'v seen some discussions here: https://www.reddit.com/r/Bitcoin/comments/115bpy/question_why_is_the_entire_blockchain_required/
Some people are just no willing to trust in the older blocks without a full history.