{"id":"W4412648091","doi":"10.55016/ojs/cdm.v13i1.62505","title":"On the number of partitions into odd parts or congruent to ± 2 ( mod 10 )","year":2018,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mod; Mathematics; Combinatorics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000735839,0.0003573388,0.0006532103,0.0001232533,0.0005038225,0.0001090485,0.0006026643,0.0001161386,0.00462591],"category_scores_gemma":[0.01635296,0.0002273105,0.0001987825,0.0006659656,0.0004418358,0.0001457765,0.0003404322,0.00018383,0.003342744],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002063979,"about_ca_system_score_gemma":0.0001092171,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009273148,"about_ca_topic_score_gemma":0.0001202236,"domain_scores_codex":[0.9973376,0.0001081965,0.001000329,0.0003496977,0.0006224242,0.000581771],"domain_scores_gemma":[0.9937771,0.003249181,0.000292577,0.001333061,0.00101641,0.00033167],"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":[0.00004831855,0.000345272,0.00000409074,0.0001470382,0.00008827002,0.000003094415,0.002533827,0.00002484446,0.0002955451,0.9469126,0.04956283,0.00003425959],"study_design_scores_gemma":[0.00032759,0.0002484884,0.00001011958,0.0005357125,0.0001479183,0.00001429098,0.001182424,0.0005993186,0.009785973,0.9814129,0.005420255,0.0003150434],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2053778,0.00001666253,0.737447,0.01117213,0.0004066872,0.00379084,0.001087708,0.0004151044,0.04028605],"genre_scores_gemma":[0.8962887,0.000004620259,0.08505605,0.0005857075,0.0002376576,0.0009014208,0.00001960921,0.00009522219,0.01681103],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6909109,"threshold_uncertainty_score":0.9974332,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04463606460677243,"score_gpt":0.39246376853548,"score_spread":0.3478277039287076,"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."}}