{"id":"W4403165714","doi":"10.61091/ars160-01","title":"A Parity Result for Some p -Regular Partitions","year":2024,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Parity (physics); Combinatorics; Physics; Atomic physics","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":[],"consensus_categories":[],"category_scores_codex":[0.001031281,0.000132936,0.0002118482,0.0000890393,0.0001597482,0.0001220306,0.0002444067,0.00007737603,0.0001516462],"category_scores_gemma":[0.0008433333,0.0001219403,0.0001618618,0.000262704,0.0001054474,0.0001881321,0.00008560878,0.0002145595,0.000287293],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009897615,"about_ca_system_score_gemma":0.0001132137,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001141966,"about_ca_topic_score_gemma":0.000005232396,"domain_scores_codex":[0.9986759,0.00008947192,0.000265572,0.0002997697,0.0002952001,0.0003741032],"domain_scores_gemma":[0.9980266,0.001241171,0.00003056018,0.0004746686,0.000102533,0.0001244759],"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":[0.00001783078,0.0001126336,0.0000410039,0.0001893187,0.00009498447,0.0000209677,0.0001534781,4.317289e-7,0.0001151719,0.9076738,0.09134412,0.000236261],"study_design_scores_gemma":[0.0004265413,0.00006304107,0.00002070708,0.00008209183,0.00006850805,0.000007345848,0.00007031285,0.001198997,0.001253511,0.9731357,0.02353336,0.0001399049],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9665382,0.001168638,0.00229885,0.007018676,0.003843575,0.001901291,0.0002021014,0.001210993,0.01581768],"genre_scores_gemma":[0.9906946,0.00001513356,0.0009856105,0.00005250113,0.00004990313,0.0001991511,0.00001845074,0.00005034076,0.007934258],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06781076,"threshold_uncertainty_score":0.4972582,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06075898436147115,"score_gpt":0.3636629751546327,"score_spread":0.3029039907931615,"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."}}