{"id":"W4401978764","doi":"10.1016/j.disc.2025.114957","title":"A power sum expansion for the Kromatic symmetric function","year":2025,"lang":"en","type":"preprint","venue":"Discrete Mathematics","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Function (biology); Power (physics); Physics; Thermodynamics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00138908,0.0009166328,0.00143668,0.0004671378,0.0004726257,0.0003895063,0.001303394,0.0006037488,0.0002260017],"category_scores_gemma":[0.006414321,0.0006266134,0.0009283457,0.0005507854,0.0002430933,0.0001856389,0.001475696,0.0009131404,0.00006634631],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002454807,"about_ca_system_score_gemma":0.0002165487,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007097642,"about_ca_topic_score_gemma":0.000009093936,"domain_scores_codex":[0.9956965,0.0001120684,0.001674728,0.0007801361,0.000985337,0.0007512007],"domain_scores_gemma":[0.9865225,0.009268553,0.001108068,0.002512401,0.000453132,0.0001353704],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003961572,0.0003752527,0.000002696463,0.01516235,0.0006591121,0.000003100071,0.002376142,0.0001520928,0.00004140268,0.965472,0.01532072,0.0003954668],"study_design_scores_gemma":[0.0004753108,0.00008743727,0.00001020605,0.002271264,0.00140202,0.000007380396,0.002555272,0.02697803,0.0002333479,0.9640642,0.001269175,0.0006463172],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0037198,0.001323401,0.960209,0.0007674838,0.002143166,0.005734441,0.0004109743,0.0006922668,0.02499947],"genre_scores_gemma":[0.1393622,0.0006445221,0.7343215,0.000541338,0.001040202,0.00978684,0.0002833476,0.0008246567,0.1131953],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2258875,"threshold_uncertainty_score":0.9996185,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04934159758442348,"score_gpt":0.3407955983862778,"score_spread":0.2914540008018544,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}