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One-way math doesn’t preclude finding a collision.
(And just to be clear, checksum in the context of this conversation is a generic term that includes cryptographic hashes and perceptual hashes.)
Also, since we’re talking about a list of checksums, an attacker wouldn’t even have to find a collision with a specific one to get someone in trouble. This makes an attack far easier. See also: the birthday problem.
Anthony Bray the convicted burglar?