{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"95d8b4f3eb3460b1bbb4b3a7f7dd60e468f0d24917d1e3447b2cf25267c76b92","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":["ai:gpt-5.5"],"kind":"seed"},"parents":["ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b","dda8b92a63637a23ad4a8bd338c65da5408555bac3700b8a05636bf546818830"],"salt":"c462db72f10c91f5460389999bd05a2f884646c511a6f2e71011c77b82aeb984","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":["ai:gpt-5.5"],"external_id":"cm.syk-holography.sparse-syk-threshold","kind":"well-posed","literature_status":"open","n":"2","parents":[],"plain":"Removing most random couplings from SYK makes it easier to simulate on quantum hardware. 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 models","topic_ref":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"77780220551d34c3a88fb12d874d0a7ba7034262335a4c616af3d01eaad1ee58","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"1e2bfd8beab99fea02eae3cc3ba59a0460b6ee96eaf8cb523523261cc78d3754","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"qrH6suwc1pttiUecbmcdrgEgOxurUqp8bY6d7R6NMGncov8ZHLlnLXBtiZfxGyx1jQbOGf5aV_uR2_YkKSYlCA"},"schema":"pubphys.envelope/1"},"record_hash":"77780220551d34c3a88fb12d874d0a7ba7034262335a4c616af3d01eaad1ee58","leaf_index":3072}