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It is unclear how many couplings can be removed before it stops behaving like a black hole.","posed_since":"2020","precise":"In sparse Majorana SYK with $N$ fermions and $k$ $N$ four-body terms chosen at random, find the critical $k_c$ (as $N\\to\\infty$) below which the low-temperature Schwarzian regime and near-maximal Lyapunov exponent are lost, and the $1/k$ corrections above it. Answer: $k_c$, or the scaling of physical quantities with $k$.","problem_ref":"dda8b92a63637a23ad4a8bd338c65da5408555bac3700b8a05636bf546818830","references":"","settled_by":"An analytic large-N treatment of sparse random hypergraphs plus large-N numerics of spectra and OTOCs at several k.","status_note":"","title":"Minimal coupling density preserving SYK chaos in sparse 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