{"paper":{"title":"Strong universality class in disordered systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A subgroup of critical exponents and fractal dimensions stays fixed under disorder, defining a strong universality class.","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Fernando A. Oliveira, Henrique A Lima, Ismael S. S. Carrasco, Jairo R. L. de Almeida, Kaue Hermann","submitted_at":"2026-05-14T21:52:16Z","abstract_excerpt":"Disordered systems are very rich laboratories for exploring complex systems. In particular, disordered magnetic systems have been extremely important in the last five decades for understanding a wide range of phenomena. In this work, we use the Edwards-Anderson Hamiltonian to obtain the thermodynamic properties of disordered magnetic systems. In this way, we conduct a systematic investigation of magnetization, correlation functions, order parameter, and fractal dimensions, in function of disorder. In this context, the autocorrelation function for order--parameter fluctuations, introduced by Fi"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"there is a subgroup of critical exponents and fractal dimensions that are invariant with disorder. This subgroup heralds a strong universality class.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The assumption that the observed invariance of the subgroup is not an artifact of the specific Monte Carlo implementation, finite-size scaling choices, or the particular way fractal dimensions are extracted from the correlation function at Tc.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Monte Carlo study of the Edwards-Anderson model finds that disorder modifies some critical exponents while a subgroup of exponents and fractal dimensions stays invariant, defining a strong universality class.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A subgroup of critical exponents and fractal dimensions stays fixed under disorder, defining a strong universality class.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"c3a6a8d660cea526b4f4b0cc7727168fb713174640311570b68869e49dedd19d"},"source":{"id":"2605.15441","kind":"arxiv","version":1},"verdict":{"id":"860bf08f-2c5e-4271-88b1-92ad2866859d","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T14:42:30.506207Z","strongest_claim":"there is a subgroup of critical exponents and fractal dimensions that are invariant with disorder. This subgroup heralds a strong universality class.","one_line_summary":"Monte Carlo study of the Edwards-Anderson model finds that disorder modifies some critical exponents while a subgroup of exponents and fractal dimensions stays invariant, defining a strong universality class.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The assumption that the observed invariance of the subgroup is not an artifact of the specific Monte Carlo implementation, finite-size scaling choices, or the particular way fractal dimensions are extracted from the correlation function at Tc.","pith_extraction_headline":"A subgroup of critical exponents and fractal dimensions stays fixed under disorder, defining a strong universality class."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.15441/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"cited_work_retraction","ran_at":"2026-05-19T15:52:51.856725Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"citation_quote_validity","ran_at":"2026-05-19T15:50:26.257863Z","status":"completed","version":"0.1.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T15:01:17.647717Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T14:50:23.184941Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T14:21:54.120105Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T13:33:22.686117Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"8433da5081a421d142b2040dafd77a6839ae218f0cf7176b3b068766b3a9daad"},"references":{"count":69,"sample":[{"doi":"","year":1974,"title":"R. Elliott, J. Krumhansl, and P. Leath, Reviews of mod- ern physics46, 465 (1974)","work_id":"1f49fa89-347f-4bd6-8498-1cf8096b7be8","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1986,"title":"K. Binder and A. P. Young, Reviews of Modern Physics 58, 801 (1986)","work_id":"7a52ab48-28f9-4a5d-a292-4094099ce59c","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2011,"title":"K. Binder and W. Kob,Glassy materials and disor- dered solids: An introduction to their statistical mechan- ics(World scientific, 2011)","work_id":"f00b6c54-fbee-4a6b-a77a-b3f71c2371ef","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1984,"title":"J. L. Cardy, Physical Review B29, 505 (1984)","work_id":"ff6785fe-f00a-4d8c-9cee-bcca19287857","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1975,"title":"S. F. Edwards and P. W. Anderson, Journal of Physics F: Metal Physics5, 965 (1975)","work_id":"21160f6a-8f73-452a-9afd-ab7908e3cfad","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":69,"snapshot_sha256":"843e39709dea591b83d4e99b5d2cbc142fc0da8275055659ccb53f6331189dd1","internal_anchors":1},"formal_canon":{"evidence_count":2,"snapshot_sha256":"6307aaf1de3ec85e387b6e3ede39808130c8416b0cf9850d331cc7fd667872ee"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}