{"id":"W4401104156","doi":"10.48550/arxiv.2402.17856","title":"Proof of the High Girth Existence Conjecture via Refined Absorption","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conjecture; Girth (graph theory); Combinatorics; Mathematics; Absorption (acoustics); Discrete mathematics; Physics; Optics","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":[0.002252444,0.0008668144,0.001047822,0.001481305,0.001617118,0.002677852,0.001832213,0.001497514,0.01519674],"category_scores_gemma":[0.01172722,0.0007997673,0.00166533,0.001528623,0.004914625,0.00621077,0.00663621,0.005970734,0.002286911],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001618493,"about_ca_system_score_gemma":0.0008761549,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001052391,"about_ca_topic_score_gemma":0.000902681,"domain_scores_codex":[0.9984025,0.0003497368,0.00005685373,0.0003915434,0.0005243311,0.0002749795],"domain_scores_gemma":[0.9918056,0.005260054,0.0004678936,0.001241482,0.0008431326,0.0003819049],"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":[0.000052142,0.00003288135,0.0004534773,0.000110076,0.00001509483,0.0001709384,0.0002272154,0.002826647,0.001855064,0.9842356,0.00531857,0.004702285],"study_design_scores_gemma":[0.00003728329,0.00003635667,0.0003196336,0.00007025558,0.0000259766,0.0002384446,0.00009813729,0.01633136,0.001805722,0.9707309,0.0102821,0.00002385637],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1620727,0.002088641,0.6059071,0.0110293,0.001331036,0.0002117897,0.001110762,0.001320052,0.2149286],"genre_scores_gemma":[0.8915491,0.001695777,0.0786507,0.002164775,0.0005979537,0.0002510104,0.000684913,0.0004029869,0.02400274],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01519674,"threshold_uncertainty_score":0.05083817,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08122490313070678,"score_gpt":0.2058064082396856,"score_spread":0.1245815051089788,"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."}}