{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"3618f67155bb76cd43ea27a915271bc37704121bcae5da5d56e5fd8dff019b00","created":"2026-10-03T07:18:01Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"04a1952c6fad264229e4a7380315ae09d045483625a860ae8539bb31bac548e0","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"cm.syk-holography.sparse-syk-threshold","kind":"well-posed","literature_status":"open","n":"1","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":null,"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":"3fefc56db1490dbc6700edd77c75843cae3c791bf1671e7876ab95cb15798bfa"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"dda8b92a63637a23ad4a8bd338c65da5408555bac3700b8a05636bf546818830","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"1c14abfe53d7b2bed04ca251558480570512969ba3db993a7f1093279082f103","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"v8k_xkaw58H5zUqOrxYBkY3V_mdzWQvmAio92U1Vnckfx3Ekwmc1qDL35g3nztqvVyU1zoUx6XMBnewdVxtJAQ"},"schema":"pubphys.envelope/1"},"record_hash":"dda8b92a63637a23ad4a8bd338c65da5408555bac3700b8a05636bf546818830","leaf_index":1187}