{"id":"W4410338799","doi":"10.37236/12513","title":"Almost All 9-Regular Graphs Have a Modulo-5 Orientation","year":2025,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Institute for the Theory of Computing, University of California Berkeley","keywords":"Modulo; Orientation (vector space); Mathematics; Combinatorics; Arithmetic; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0006775387,0.0003758352,0.000560234,0.0004812757,0.001442546,0.001256251,0.0008089453,0.0007688411,0.005926488],"category_scores_gemma":[0.00561916,0.0004371087,0.0005787136,0.0006228372,0.00221393,0.002014644,0.001096593,0.001286789,0.0007943041],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007253612,"about_ca_system_score_gemma":0.0005242357,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008248358,"about_ca_topic_score_gemma":0.0011717,"domain_scores_codex":[0.9992416,0.000141911,0.00003107849,0.0002516248,0.0001795397,0.0001543069],"domain_scores_gemma":[0.996749,0.001449284,0.0005664026,0.0007301031,0.0002693864,0.0002357326],"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":[0.001160932,0.0003014183,0.02005888,0.0003270236,0.000123567,0.0007175253,0.0007553088,0.02156975,0.02932229,0.8160675,0.01218398,0.09741174],"study_design_scores_gemma":[0.0001725371,0.0002873944,0.01263772,0.00007907214,0.0001291325,0.001462437,0.0006181239,0.05107053,0.02391441,0.8823046,0.02725628,0.00006784918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8359873,0.0004993293,0.1144979,0.00332889,0.0001362764,0.0001359466,0.0008201954,0.0009099977,0.0436843],"genre_scores_gemma":[0.9857917,0.0002396978,0.009703745,0.0005159551,0.00005214004,0.00007952416,0.0004082672,0.0000766822,0.003132384],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005926488,"threshold_uncertainty_score":0.01982605,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.003546911379042969,"score_gpt":0.208056211880001,"score_spread":0.204509300500958,"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."}}