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This attack is easily preventable with HTLC based payments where the lock is the same SHA256 image at each hop.
That is true. However, I am unaware of any client currently preventing payment loops. So the current state of affairs is that Cycle Jamming is already possible. Cristina Pérez-Solà wrote a paper [1] describing the attack. Maybe we should add this to the Related Research?
[1] Pérez-Solà, C., Ranchal-Pedrosa, A., Herrera-Joancomartí, J., Navarro-Arribas, G., & Garcia-Alfaro, J. (2020). LockDown: Balance Availability Attack Against Lightning Network Channels. https://doi.org/10.1007/978-3-030-51280-4_14
Thanks @gijswijs -- this is an extremely valuable contribution to this research topic. They basically show that these cycling attacks to in practice enhance jamming attacks significantly.
Discussion Issue for the PTLC Cycle Jamming problem
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