{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"6f37adcb1dd30dbc0950e5e232f903e90960a6459e0f6c2c6752203582cc0666","created":"2026-10-03T07:18:10Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"aa8f7c3758b7ea9300cba506f19fcfff0375b4a3b033854ebd04c936c2f988dd","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"stat.absorbing-states-soc.dp-exact-exponents","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"Directed percolation is the simplest model of spreading that can die out. In one space dimension its exponents are known to six digits from series expansions, but no exact formula exists and they do not look like simple fractions.","posed_since":"","precise":"For $1+1$ dimensional directed percolation (bond, site, or the contact process), determine exact values of beta approximately 0.276486, nu_perp approximately 1.096854 and nu_par approximately 1.733847, or show that they do not come from a solvable structure; the model is not known to be integrable and its critical point lacks conformal invariance in the usual sense because time and space scale differently. An answer is closed forms matching the series values.","problem_ref":null,"references":"","settled_by":"An exact solution or an integrable mapping reproducing the series estimates, or a proof excluding a stated class of closed forms.","status_note":"","title":"Exact critical exponents of directed percolation in 1+1 dimensions","topic_ref":"bf62cb2802924e75cd29f62202d97c3b272ea6e403e6777085cb51e3601ee041"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"77f70b0fea76bf0c09adf78b0123e64d235ad406bf124a5c0d4c83e18d889449","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"5fef008d59862df4457c45a2e3b03e7a5dbe36865bfd134e047415408ff00c3c","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"F-64v6adGx_1sMedvXzThufWYKkF1CdC6rnJ5Sz8RCSyarsuYfsCKi5MdRCWr8Qbgn1NqT5T8P4G1DqrohL0Dg"},"schema":"pubphys.envelope/1"},"record_hash":"77f70b0fea76bf0c09adf78b0123e64d235ad406bf124a5c0d4c83e18d889449","leaf_index":2066}