{"id":"W4417087170","doi":"10.48550/arxiv.2512.05001","title":"Plumbing bijections","year":2025,"lang":"","type":"preprint","venue":"ArXiv.org","topic":"Advanced Materials and Mechanics","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery","keywords":"Bijection, injection and surjection; Taxonomy (biology); Key (lock); Natural (archaeology)","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002280355,0.001159554,0.001139167,0.00315539,0.004849667,0.007114157,0.001598947,0.002034452,0.05627823],"category_scores_gemma":[0.01160472,0.001091134,0.001375487,0.003678471,0.003629932,0.01657122,0.007937051,0.005210008,0.01734588],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001491421,"about_ca_system_score_gemma":0.0008113732,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007921231,"about_ca_topic_score_gemma":0.001015023,"domain_scores_codex":[0.9951925,0.001845882,0.0003488542,0.001100358,0.001121409,0.0003908755],"domain_scores_gemma":[0.9939455,0.003033609,0.0002088536,0.001451115,0.001032105,0.0003286879],"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":[0.00002629064,0.00002148773,0.0000966636,0.00009271142,0.0000111357,0.00006932887,0.0004421988,0.0003715686,0.0003366385,0.9660805,0.01318847,0.01926303],"study_design_scores_gemma":[0.000007303227,0.000008411625,0.00003829669,0.00003326316,0.000006149852,0.0001241598,0.0001403392,0.0006110846,0.0003976045,0.9543415,0.04427973,0.00001215189],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.04880539,0.0053732,0.3852745,0.00699276,0.00303663,0.0001792762,0.001977363,0.003322422,0.5450384],"genre_scores_gemma":[0.5992261,0.006146288,0.1522715,0.005485236,0.002116707,0.0006176835,0.003867673,0.00618279,0.224086],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.05627823,"threshold_uncertainty_score":0.1882694,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03261512508843051,"score_gpt":0.2619473434703794,"score_spread":0.2293322183819489,"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."}}