{"id":"W4410892146","doi":"10.1007/s40879-025-00830-z","title":"Revised version of “Non-trivial automorphisms of $${\\mathscr {P}}({\\mathbb {N}})/[{\\mathbb {N}}]^{&lt;\\aleph _0}$$ from variants of small dominating number”","year":2025,"lang":"en","type":"article","venue":"European Journal of Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"United States - Israel Binational Science Foundation","keywords":"Aleph; Automorphism; Combinatorics; Mathematics; Physics; Particle physics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001289369,0.00121738,0.0009773243,0.001315762,0.001411628,0.0025998,0.001397169,0.001341691,0.04064529],"category_scores_gemma":[0.009089228,0.0005303131,0.001170187,0.00146579,0.001744112,0.003554502,0.00143457,0.003674685,0.008379593],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002111962,"about_ca_system_score_gemma":0.0007778499,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002386113,"about_ca_topic_score_gemma":0.00282354,"domain_scores_codex":[0.9986963,0.0003137283,0.0001311863,0.0003396792,0.0004067518,0.0001123877],"domain_scores_gemma":[0.9965144,0.00136735,0.0001776731,0.0005425759,0.001197495,0.0002005564],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001860569,0.00002720312,0.0001992014,0.0003429273,0.00006044371,0.0002002328,0.0003506372,0.000811736,0.001972329,0.484268,0.4853516,0.02622969],"study_design_scores_gemma":[0.00005413646,0.00004971794,0.001808043,0.00009405331,0.00007831858,0.0006607333,0.0001247324,0.002475014,0.001906699,0.3759815,0.6166803,0.00008664497],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"editorial","genre_gemma":"empirical","genre_scores_codex":[0.02147513,0.009187594,0.1552928,0.1559835,0.3625369,0.0001446535,0.007436869,0.001864293,0.2860782],"genre_scores_gemma":[0.3471881,0.01020404,0.05891588,0.02899206,0.06210259,0.0002894092,0.01012576,0.002851206,0.479331],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.04064529,"threshold_uncertainty_score":0.1359721,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02223154913453244,"score_gpt":0.2892512347156224,"score_spread":0.26701968558109,"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."}}