{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":10,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":10,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"490c05553657","filters":{"venue":"Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry"}},"results":[{"id":"W2022853622","doi":"10.1007/s13366-015-0244-8","title":"On centrally-extended maps on rings","year":2015,"lang":"de","type":"article","venue":"Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Brock University","funders":"","keywords":"Endomorphism; Commutative property; Ring (chemistry); Center (category theory); Combinatorics; Physics; Mathematics; Discrete mathematics; Crystallography","authors":[{"name":"Howard E. Bell","is_ca":true},{"name":"M. N. Daif","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02263375249341667,"gpt":0.318792358740197,"spread":0.2961586062467803,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001544641,0.00172965,0.00156312,0.003120909,0.002450945,0.004236487,0.001336108,0.001470611,0.007308712],"category_scores_gemma":[0.002820158,0.0007639392,0.00126742,0.002861946,0.00546837,0.01206909,0.005225906,0.003942642,0.000844496],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002149262,"about_ca_system_score_gemma":0.000890376,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008283435,"about_ca_topic_score_gemma":0.0006624875,"domain_scores_codex":[0.9989743,0.0002758887,0.00004928895,0.0002192199,0.00025938,0.0002219235],"domain_scores_gemma":[0.9982686,0.0006197757,0.0002128187,0.0001867161,0.0002902971,0.0004218775],"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":[0.00002837809,0.0000185452,0.00009523051,0.00002900762,0.000006813451,0.0000818187,0.0002857969,0.000223833,0.0005938538,0.9966359,0.0004072407,0.001593652],"study_design_scores_gemma":[0.00001374835,0.00002840801,0.0002790225,0.00001459879,0.00001150127,0.00009824378,0.0001151016,0.0007821987,0.0002128631,0.995453,0.002979795,0.00001157484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6424007,0.01067134,0.1435435,0.00642806,0.003163834,0.00009198349,0.0004786352,0.000458943,0.192763],"genre_scores_gemma":[0.9329659,0.004143077,0.01209697,0.0006172452,0.002774527,0.00007365242,0.0002300689,0.0001704395,0.04692806],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007308712,"threshold_uncertainty_score":0.02445012,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2018856235","doi":"10.1007/s13366-011-0053-7","title":"Moduli space of parabolic vector bundles on a curve","year":2011,"lang":"de","type":"article","venue":"Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"McGill University","keywords":"Vector bundle; Mathematical analysis; Mathematics; Space (punctuation); Moduli space; Geometry; Computer science","authors":[{"name":"Usha N. Bhosle","is_ca":false},{"name":"Indranil Biswas","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02265861434301536,"gpt":0.2849036186845889,"spread":0.2622450043415735,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007934765,0.001842689,0.001102203,0.003679376,0.002658969,0.005109672,0.001234245,0.001722997,0.008350486],"category_scores_gemma":[0.001134836,0.0006775483,0.0007493661,0.002135384,0.002857595,0.007556022,0.003193761,0.002057755,0.001083577],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001745067,"about_ca_system_score_gemma":0.001035872,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007886961,"about_ca_topic_score_gemma":0.0003601405,"domain_scores_codex":[0.9994097,0.00009208458,0.00003137269,0.0001159005,0.0002109613,0.0001400562],"domain_scores_gemma":[0.9994625,0.00007738198,0.0001029286,0.00003745247,0.00007610342,0.0002435841],"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":[0.0001297259,0.00006109783,0.0006765671,0.0000504292,0.00003228303,0.0003397156,0.0004977891,0.001001019,0.002731698,0.9892986,0.0007320474,0.004449022],"study_design_scores_gemma":[0.00008174049,0.0001444482,0.001413875,0.00003150773,0.00003941633,0.0007532273,0.0003866244,0.00874651,0.001965379,0.9811153,0.00528464,0.00003737569],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8871409,0.00120989,0.03574933,0.003090217,0.0003886696,0.00009208103,0.0006947689,0.000287296,0.07134695],"genre_scores_gemma":[0.9618886,0.0007509799,0.00365508,0.0001862908,0.000681064,0.00005466388,0.0005738685,0.00007645942,0.03213303],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008350486,"threshold_uncertainty_score":0.02793521,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4400944934","doi":"10.1007/s13366-024-00758-7","title":"An axiom system for absolute plane geometry in terms of collinearity and congruence","year":2024,"lang":"en","type":"article","venue":"Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry","topic":"Mathematics and Applications","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Canadian Anthropology Society","funders":"Universität Stuttgart","keywords":"Congruence (geometry); Mathematics; Collinearity; Hyperbolic geometry; Axiom; Geometry; Plane (geometry); Pure mathematics; Mathematical analysis; Algebraic geometry","authors":[{"name":"Carsten Augat","is_ca":true},{"name":"Hermann Hähl","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01770712954456605,"gpt":0.3369760519697736,"spread":0.3192689224252076,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003953227,0.0005201731,0.0008296311,0.001305307,0.002415573,0.003352725,0.001105265,0.001055103,0.004874173],"category_scores_gemma":[0.003233904,0.0005191205,0.001375359,0.001308674,0.006689786,0.005700158,0.00388044,0.00382561,0.001185564],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002068436,"about_ca_system_score_gemma":0.002224499,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003682149,"about_ca_topic_score_gemma":0.003193679,"domain_scores_codex":[0.9959479,0.001421826,0.0005470999,0.0006208781,0.001094334,0.000368012],"domain_scores_gemma":[0.9967914,0.001046239,0.0002089421,0.0004970329,0.001209342,0.0002471212],"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":[0.000004803351,0.00000485096,0.00008730101,0.00001473441,0.000003434519,0.00003915141,0.0001592079,0.0001527775,0.0004781842,0.9968588,0.0007276493,0.001469128],"study_design_scores_gemma":[0.00003217551,0.00003452675,0.0002723151,0.00002024214,0.00001281314,0.0001833407,0.0002182458,0.002493608,0.001105151,0.9639118,0.03169206,0.00002378962],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06879252,0.0009638604,0.8092239,0.005035277,0.001280346,0.0002722569,0.001291664,0.0005094119,0.1126307],"genre_scores_gemma":[0.6985369,0.0007066537,0.2841004,0.001286153,0.0005256162,0.0003661551,0.001506733,0.0001794467,0.01279182],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004874173,"threshold_uncertainty_score":0.02090693,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2924680916","doi":"10.1007/s13366-020-00486-8","title":"Constructing symplectomorphisms between symplectic torus quotients","year":2020,"lang":"en","type":"article","venue":"Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"","keywords":"Symplectomorphism; Moment map; Symplectic geometry; Quotient; Torus; Symplectic vector space; Diffeomorphism","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.03868468439009352,"gpt":0.3169314309102246,"spread":0.2782467465201311,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009548714,0.0009407421,0.001046891,0.002440957,0.00164667,0.003060267,0.001098949,0.00130266,0.006161328],"category_scores_gemma":[0.002429098,0.0007791088,0.001255676,0.001226494,0.003513396,0.004640146,0.003689498,0.002137168,0.0008591548],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001249152,"about_ca_system_score_gemma":0.0004576113,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006276772,"about_ca_topic_score_gemma":0.001256807,"domain_scores_codex":[0.9992995,0.0001783155,0.00006190505,0.0001426502,0.0001827303,0.0001347629],"domain_scores_gemma":[0.999131,0.0002697777,0.0001185202,0.0001750291,0.0000997129,0.0002059438],"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":[0.00003847502,0.00004974296,0.000452495,0.00003162857,0.00001103544,0.0002286846,0.0007885736,0.001227873,0.002672988,0.9886215,0.0006965176,0.00518048],"study_design_scores_gemma":[0.00003511715,0.00007025853,0.0004826149,0.00001388887,0.00001404103,0.0001545955,0.0006111437,0.006836363,0.001655173,0.9857591,0.004351055,0.00001657971],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7868925,0.0006599391,0.1532339,0.001044701,0.0005314551,0.0001728096,0.0002377055,0.0006117859,0.05661508],"genre_scores_gemma":[0.9470007,0.00036219,0.03659647,0.0002104289,0.0001820447,0.00006451402,0.0002420461,0.0002812642,0.01506025],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006161328,"threshold_uncertainty_score":0.0206117,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2094101429","doi":"10.1007/s13366-014-0206-6","title":"Finding equal-diameter triangulations in polygons","year":2014,"lang":"de","type":"article","venue":"Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Polygon (computer graphics); Combinatorics; Simple polygon; Perimeter; Simple (philosophy); Mathematics; Constructive; Rectilinear polygon; Star-shaped polygon; Polygon covering; Regular polygon; Geometry; Computer science","authors":[{"name":"András Bezdek","is_ca":false},{"name":"Ted Bisztriczky","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01410454025111754,"gpt":0.2930364154588865,"spread":0.278931875207769,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007084247,0.0008647491,0.001714,0.001658947,0.000949691,0.002406317,0.001704194,0.001537208,0.008363838],"category_scores_gemma":[0.01064252,0.001286796,0.001138082,0.001680952,0.001417382,0.003140266,0.003216479,0.001712643,0.001564907],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006690766,"about_ca_system_score_gemma":0.0005339022,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001551009,"about_ca_topic_score_gemma":0.002443609,"domain_scores_codex":[0.9989744,0.0002123401,0.00008732241,0.0002905746,0.000292319,0.0001429843],"domain_scores_gemma":[0.9959561,0.002739945,0.0002927813,0.0004789405,0.000320294,0.000211865],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001601674,0.0002817707,0.0102001,0.001618196,0.0001831371,0.001214723,0.001939041,0.3177937,0.02154263,0.2306644,0.02093366,0.392027],"study_design_scores_gemma":[0.0002092399,0.0002338714,0.001636804,0.000227487,0.00008151225,0.0006224764,0.001872052,0.6462921,0.01107065,0.3229265,0.01478058,0.00004668934],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1916245,0.0007907341,0.7905235,0.0005292948,0.000177293,0.0002638835,0.00108315,0.001206583,0.01380105],"genre_scores_gemma":[0.4355206,0.0005404765,0.5545141,0.0001112819,0.00006389396,0.0001386304,0.001899313,0.0007953025,0.006416399],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008363838,"threshold_uncertainty_score":0.02797985,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4281989561","doi":"10.1007/s13366-022-00639-x","title":"On the Parshin–Arakelov theorem and integral sections on elliptic surfaces","year":2022,"lang":"en","type":"article","venue":"Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Intersection (aeronautics); Moduli space; Divisor (algebraic geometry); Elliptic curve; Conjecture; Context (archaeology); Pure mathematics; Mathematical analysis; Intersection theory","authors":[{"name":"Xuan Kien Phung","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01763715557501482,"gpt":0.2870701048482048,"spread":0.2694329492731899,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00163767,0.001117341,0.001349926,0.003164112,0.002557351,0.003183059,0.001457076,0.002031393,0.008665378],"category_scores_gemma":[0.003891431,0.0007183614,0.001097445,0.001615421,0.005699853,0.008680867,0.00362478,0.003992902,0.0008028751],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001818482,"about_ca_system_score_gemma":0.0007159683,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001420088,"about_ca_topic_score_gemma":0.0009285781,"domain_scores_codex":[0.999463,0.0001985307,0.00002709193,0.0001104443,0.0001183462,0.00008268077],"domain_scores_gemma":[0.99889,0.0005193683,0.000141708,0.0001232672,0.0001711095,0.0001546134],"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":[0.00001667178,0.00001239703,0.0001039711,0.0000204551,0.000004966485,0.00004242945,0.0001394947,0.0005044052,0.0002351977,0.9965472,0.0006884419,0.001684507],"study_design_scores_gemma":[0.000006522742,0.000006665628,0.0001487752,0.000009179471,0.000003515146,0.00003598583,0.00004598183,0.001350835,0.00006544054,0.9968849,0.00143618,0.000006073084],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4405876,0.01313541,0.1398571,0.01378954,0.002585278,0.00007153802,0.0004019994,0.0003129094,0.3892586],"genre_scores_gemma":[0.9317943,0.004721195,0.01389104,0.00106823,0.002593943,0.00005851603,0.0002361547,0.0001965604,0.04544014],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008665378,"threshold_uncertainty_score":0.0289886,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2996813639","doi":"10.1007/s13366-023-00689-9","title":"A virtual geometric action of a braid group","year":2023,"lang":"de","type":"article","venue":"Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Braid group; Braid; Mathematics; Action (physics); Group (periodic table); Quotient; Center (category theory); Pure mathematics; Combinatorics; Physics; Crystallography; Materials science","authors":[{"name":"Sylvain Barré","is_ca":false},{"name":"Mikaël Pichot","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02346990315347675,"gpt":0.3191112921139997,"spread":0.295641388960523,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006056285,0.0007741676,0.0006331435,0.00109671,0.001678204,0.003391583,0.001028567,0.001136305,0.01133427],"category_scores_gemma":[0.0007902617,0.0003851259,0.000714641,0.0005595299,0.003773541,0.002839655,0.002426257,0.001163066,0.001009644],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008615251,"about_ca_system_score_gemma":0.0006451606,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006274383,"about_ca_topic_score_gemma":0.0006334073,"domain_scores_codex":[0.9995095,0.0001317436,0.00001746324,0.00009393192,0.0001393196,0.0001081028],"domain_scores_gemma":[0.9996445,0.00006930227,0.00004240404,0.00006691572,0.00005202404,0.0001247593],"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":[0.00001210053,0.000009372089,0.00003395208,0.000008053813,0.000002604889,0.00005276848,0.00008526546,0.0003591982,0.0007894996,0.9969468,0.0003195893,0.00138086],"study_design_scores_gemma":[0.00001697504,0.00004032266,0.00009770651,0.000007089881,0.00000588391,0.0001808766,0.0001065762,0.003163327,0.0005052719,0.9914973,0.004367977,0.00001067817],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4697754,0.001409261,0.1715448,0.00396169,0.002456956,0.00007014078,0.0001421501,0.0005230294,0.3501164],"genre_scores_gemma":[0.9379476,0.0003995428,0.012944,0.0005881345,0.0003894911,0.00003693118,0.00005899081,0.0001361705,0.04749923],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01133427,"threshold_uncertainty_score":0.0379169,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1994840895","doi":"10.1007/s13366-011-0010-5","title":"On the number of facets of three-dimensional Dirichlet stereohedra IV: quarter cubic groups","year":2011,"lang":"en","type":"article","venue":"Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true},"ca_institutions":"","funders":"","keywords":"Dirichlet distribution; Quarter (Canadian coin); Space (punctuation); Dirichlet's principle; Dirichlet problem; Group (periodic table)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.04242795045147901,"gpt":0.3211706491549766,"spread":0.2787426987034975,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001084202,0.0006442331,0.001230383,0.002496478,0.002401866,0.004959254,0.002190424,0.001519074,0.009413892],"category_scores_gemma":[0.005465733,0.0005647843,0.0007651067,0.001918228,0.006292588,0.004118407,0.002369737,0.002413982,0.0004440609],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002239763,"about_ca_system_score_gemma":0.0009992255,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005012619,"about_ca_topic_score_gemma":0.004355324,"domain_scores_codex":[0.9991255,0.0001628526,0.00004902683,0.0001464162,0.0002923066,0.0002238525],"domain_scores_gemma":[0.9953114,0.002151386,0.0007458889,0.0005396702,0.000436715,0.0008149049],"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":[0.000417734,0.0000539572,0.004248635,0.0001084923,0.00002523579,0.0001309511,0.0006813324,0.01012753,0.003966768,0.959619,0.002942874,0.01767757],"study_design_scores_gemma":[0.00003623542,0.00004946559,0.002935662,0.00004350752,0.00001957877,0.000165979,0.000712403,0.03243756,0.001968154,0.9585903,0.002993855,0.00004741949],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9087262,0.0006742367,0.03120928,0.001429649,0.0002471238,0.00005160767,0.0005005291,0.0001545676,0.05700678],"genre_scores_gemma":[0.9857475,0.0003422822,0.006278089,0.000110665,0.0001537231,0.00003849896,0.0003875962,0.00006051915,0.006881209],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009413892,"threshold_uncertainty_score":0.03149265,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4225562560","doi":"10.1007/s13366-022-00655-x","title":"Degenerations of Pascal lines","year":2022,"lang":"de","type":"article","venue":"Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University; University of Manitoba","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences","keywords":"Conic section; Mathematics; Pascal (unit); Invertible matrix; Combinatorics; Pure mathematics; Geometry; Physics","authors":[{"name":"Jaydeep Chipalkatti","is_ca":true},{"name":"Sérgio Da Silva","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01741735709119948,"gpt":0.3078103291423691,"spread":0.2903929720511696,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009560625,0.0007866459,0.0007225668,0.003504877,0.002894277,0.003119915,0.00103108,0.001268442,0.00773519],"category_scores_gemma":[0.003494341,0.0004958733,0.0007292639,0.001489782,0.003410574,0.004147624,0.002491061,0.002186065,0.001333501],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001857068,"about_ca_system_score_gemma":0.0005827478,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001525513,"about_ca_topic_score_gemma":0.0009331066,"domain_scores_codex":[0.9990895,0.0002763018,0.00004402145,0.000122269,0.0002940163,0.0001738849],"domain_scores_gemma":[0.998894,0.0002342098,0.0001653657,0.0001516186,0.0003039531,0.0002507435],"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":[0.00002730152,0.00001210561,0.0001241202,0.00001419904,0.000004898953,0.00008328843,0.0002609518,0.0003588833,0.0004186198,0.9954698,0.0008851078,0.002340807],"study_design_scores_gemma":[0.00002367323,0.0000201842,0.0003424891,0.00001224009,0.000007165435,0.000210859,0.0001609964,0.001590125,0.0004030646,0.9896373,0.007580803,0.00001115479],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5475833,0.002594233,0.05568847,0.004158383,0.001512594,0.0001254397,0.0003445669,0.0006870677,0.3873059],"genre_scores_gemma":[0.9352302,0.0009237003,0.007600206,0.0004739648,0.0007655422,0.00004871549,0.000197266,0.0001822329,0.05457808],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00773519,"threshold_uncertainty_score":0.02587682,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4403974064","doi":"10.1007/s13366-024-00776-5","title":"Quatroids and rational plane cubics","year":2024,"lang":"de","type":"article","venue":"Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Plane (geometry); Computer science; Mathematics; Geometry","authors":[{"name":"Taylor Brysiewicz","is_ca":true},{"name":"Fulvio Gesmundo","is_ca":false},{"name":"Avi Steiner","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.008963003809878066,"gpt":0.2712225370298029,"spread":0.2622595332199248,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005806985,0.0005766829,0.0007890685,0.001791973,0.002231636,0.00317649,0.0008889841,0.001085751,0.01290199],"category_scores_gemma":[0.002821778,0.000444066,0.0006142989,0.001364927,0.003389453,0.002973302,0.002281119,0.003262071,0.001552817],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001910285,"about_ca_system_score_gemma":0.0007783574,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004343999,"about_ca_topic_score_gemma":0.003945922,"domain_scores_codex":[0.9994519,0.0001110165,0.00002497536,0.00009870412,0.0001955054,0.0001178338],"domain_scores_gemma":[0.9992538,0.0002840816,0.0001151583,0.00009156742,0.0001341738,0.0001211493],"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":[0.00001634139,0.000006270525,0.0000491972,0.00001777616,0.000001835139,0.00002572777,0.0001518088,0.0007223332,0.0002485808,0.994357,0.0009164543,0.003486607],"study_design_scores_gemma":[0.0000127368,0.000005900329,0.00007562735,0.000007554138,0.000002116546,0.00003117505,0.0000941968,0.002263704,0.0001242915,0.9919702,0.00540526,0.000007262084],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.457211,0.003762707,0.1391723,0.007429385,0.00206275,0.00015474,0.0006991302,0.0006191484,0.3888887],"genre_scores_gemma":[0.9172648,0.00137185,0.0199393,0.0007625854,0.0007308814,0.00007625479,0.00041694,0.000191806,0.05924565],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01290199,"threshold_uncertainty_score":0.04316145,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}