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We further"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Our results provide a systematic framework for analyzing superconductivity in the orbital Hatsugai-Kohmoto model and extend symmetry-based approaches to correlated multiband settings.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The mean-field treatment accurately describes the superconducting transition and order parameter in this strongly correlated multiband model.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"The multiband Hatsugai-Kohmoto model yields a symmetry classification of superconducting gaps and mean-field critical temperatures for selected pairing channels in a two-orbital system.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The orbital Hatsugai-Kohmoto model supplies an exactly solvable platform for classifying multiband superconducting gap structures and computing their mean-field critical temperatures.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"514a3da644cf90f678d8366c340df6b3d61176f83a11146873d196f59664381f"},"source":{"id":"2605.13259","kind":"arxiv","version":1},"verdict":{"id":"80adfe41-3723-4d16-8856-52ae47c341fe","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T18:42:36.052364Z","strongest_claim":"Our results provide a systematic framework for analyzing superconductivity in the orbital Hatsugai-Kohmoto model and extend symmetry-based approaches to correlated multiband settings.","one_line_summary":"The multiband Hatsugai-Kohmoto model yields a symmetry classification of superconducting gaps and mean-field critical temperatures for selected pairing channels in a two-orbital system.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The mean-field treatment accurately describes the superconducting transition and order parameter in this strongly correlated multiband model.","pith_extraction_headline":"The orbital Hatsugai-Kohmoto model supplies an exactly solvable platform for classifying multiband superconducting gap structures and computing their mean-field critical temperatures."},"references":{"count":50,"sample":[{"doi":"","year":2023,"title":"The free energy is F = −T ln Z = N g |∆|2 − T ∑ k∈HBZ ln Zk","work_id":"606e36cf-75f4-4fb7-843b-246a4cb59325","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2003,"title":"S. 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