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Maybe a really nice background thing to read are the first few paragraphs from Satoshi's citation number 2 in the whitepaper.
Not only is that what inspired using Merkle Trees for integrity and rolling up hashes, it also describes an early idea of what now is OpenTimestamps.
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The answer is: No, assumevalid does NOT equal SPV securityThe answer is: No,
assumevaliddoes NOT equal SPV securityThanks to the patient answers from @optimisim (#1457498) and @Murch (#1457342) my wrong-headed thinking has been set right. There is much to learn.