{"id":"W4255048748","doi":"10.46298/dmtcs.2910","title":"The topology of restricted partition posets","year":2011,"lang":"fr","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"National Science Foundation","keywords":"Mathematics; Combinatorics; Partition (number theory); Homotopy; Homology (biology); Symmetric group; Pure mathematics; Chemistry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":{"n_in":0,"stratum":"french","weight":1554.46666666667,"opus":{"tier":"OUT","genre":"conceptual","about_ca":false,"confidence":"high","reason":"Pure mathematics on the topology of restricted partition posets; the object is a combinatorial structure."},"gpt":{"tier":"OUT","genre":"empirical","about_ca":false,"confidence":"high","reason":"This mathematics paper studies the topology of partition posets, not research itself."},"grok":{"tier":"OUT","genre":"conceptual","about_ca":false,"confidence":"high","reason":"Pure combinatorial topology of restricted partition posets; mathematics domain."}},"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003481265,0.0004562842,0.0004291134,0.001255991,0.001191889,0.003131119,0.000556703,0.000400761,0.01173023],"category_scores_gemma":[0.0008038117,0.0003421272,0.0005779628,0.0007089137,0.001817857,0.003536614,0.002698377,0.00104818,0.001199593],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008225693,"about_ca_system_score_gemma":0.0003507854,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001273325,"about_ca_topic_score_gemma":0.0007697484,"domain_scores_codex":[0.999423,0.00007642559,0.00001939414,0.00013623,0.0001960202,0.0001489906],"domain_scores_gemma":[0.999441,0.0001678755,0.00008115979,0.00005536306,0.00007948761,0.0001751242],"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":[0.00007033762,0.0000155301,0.0006551843,0.00003911884,0.00001053806,0.0001892405,0.0006419361,0.001447365,0.002926693,0.9880072,0.0005940422,0.005402807],"study_design_scores_gemma":[0.00005549542,0.0001267755,0.0034876,0.00003988096,0.0000383413,0.0009609355,0.001023968,0.01518219,0.006751497,0.9469929,0.02529432,0.00004614085],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8026901,0.0007196032,0.07398381,0.0005565453,0.0001438884,0.00004332468,0.0005219476,0.0003215025,0.1210192],"genre_scores_gemma":[0.9718372,0.0003488313,0.004339166,0.0000876622,0.0001041927,0.00004881561,0.0005988241,0.00008865739,0.02254679],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01173023,"threshold_uncertainty_score":0,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02998824714710509,"score_gpt":0.29552969945726,"score_spread":0.265541452310155,"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."}}