{"meta":{"query_hash":"d636c64c0f23","filters":{"venue":"Mathematische Nachrichten"},"cohort_total":41,"direct_labels_cover":0,"predictions_cover":41,"exported":41,"export_cap":100000,"truncated":false,"label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"permalink":"https://metacan.xera.ac/q/d636c64c0f23","api":"https://metacan.xera.ac/api/v1/cohort?venue=Mathematische+Nachrichten"},"results":[{"id":"W1728991103","doi":"10.1002/mana.201500309","title":"Sliding block codes between shift spaces over infinite alphabets","year":2016,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Cellular Automata and Applications","field":"Computer Science","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Conselho Nacional de Desenvolvimento Científico e Tecnológico; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior","keywords":"Mathematics; Block (permutation group theory); Block code; Pure mathematics; Discrete mathematics; Combinatorics; Statistics; Decoding methods","score_opus":0.021151614663750613,"score_gpt":0.25941402468133234,"score_spread":0.23826241001758172,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1728991103","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44581592,0.00089269,0.52857995,0.00039956399,0.0002540418,0.000109157234,0.00027171292,0.00033076247,0.023346266],"genre_scores_gemma":[0.9470715,0.00033214196,0.040430665,0.00014098326,0.00009323581,0.00016178832,0.00017509931,0.000049681585,0.011544922],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990748,0.00014695799,0.000087194705,0.00020675342,0.000304835,0.00017932052],"domain_scores_gemma":[0.9978702,0.0009118813,0.0003124272,0.00028469999,0.00044536754,0.00017548341],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005721808,0.00037010317,0.00042707086,0.0010163235,0.0007288585,0.0010999087,0.00052389776,0.0007466243,0.0035285067],"category_scores_gemma":[0.0032840865,0.00022358814,0.00044781546,0.0007298357,0.00195356,0.0015628962,0.0013077031,0.0011033777,0.0004947909],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009383685,0.000015610238,0.00051884266,0.000044169257,0.000010034332,0.00016059617,0.00045399065,0.011349773,0.008562524,0.9620535,0.00043425424,0.016302878],"study_design_scores_gemma":[0.00004406897,0.00015566962,0.0007085065,0.000044137272,0.000015066412,0.00025952767,0.00025962523,0.0954809,0.015565196,0.8758481,0.011561601,0.000057520967],"about_ca_topic_score_codex":0.0016266915,"about_ca_topic_score_gemma":0.0010376426,"teacher_disagreement_score":0.0035285067,"about_ca_system_score_codex":0.0008299932,"about_ca_system_score_gemma":0.000798413,"threshold_uncertainty_score":0.011804044},"labels":[],"label_agreement":null},{"id":"W1880280656","doi":"10.1002/mana.201400189","title":"On the existence of RUC systems in rearrangement invariant spaces","year":2015,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Invariant (physics); Bounded function; Orthonormal basis; Pure mathematics; Unconditional convergence; Rate of convergence; Mathematical analysis; Compact convergence; Mathematical physics","score_opus":0.10021298468061302,"score_gpt":0.31968186772456386,"score_spread":0.21946888304395085,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1880280656","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6274477,0.001455697,0.33481264,0.0011314454,0.00008533278,0.00008373019,0.00019386149,0.00021314375,0.034576416],"genre_scores_gemma":[0.9818351,0.0004093344,0.012964122,0.000094224335,0.00007479401,0.000078865414,0.00012385048,0.000034838275,0.004384828],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99891424,0.00034603587,0.000039192382,0.00022204145,0.0002334298,0.00024511435],"domain_scores_gemma":[0.9952821,0.002435724,0.0008276732,0.00023382893,0.00071535446,0.0005053687],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001882006,0.00057346054,0.0007571948,0.0014530566,0.0010488459,0.0019111834,0.0009159091,0.00091995765,0.005616563],"category_scores_gemma":[0.0077762674,0.0003187192,0.000407002,0.00081868644,0.0033200176,0.0023218312,0.0025347231,0.0011853814,0.00043731212],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007083071,0.00002747218,0.0010281173,0.00006604063,0.00001564464,0.00012725816,0.0003115416,0.009473634,0.004551123,0.9790061,0.00066339807,0.004658932],"study_design_scores_gemma":[0.00006014675,0.00025954828,0.0034800011,0.00007380151,0.00003774153,0.00035802228,0.0006424651,0.30133227,0.0051697292,0.68414915,0.004353019,0.00008419928],"about_ca_topic_score_codex":0.0010075696,"about_ca_topic_score_gemma":0.0006108327,"teacher_disagreement_score":0.005616563,"about_ca_system_score_codex":0.0011676764,"about_ca_system_score_gemma":0.0006117363,"threshold_uncertainty_score":0.018789291},"labels":[],"label_agreement":null},{"id":"W1926989767","doi":"10.1002/mana.201300076","title":"Hodge cohomology of some foliated boundary and foliated cusp metrics","year":2014,"lang":"en","type":"preprint","venue":"Mathematische Nachrichten","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal; University of Toronto","funders":"","keywords":"Fibration; Mathematics; Fibered knot; Boundary (topology); Pure mathematics; Cusp (singularity); Cohomology; Space (punctuation); Metric (unit); Foliation (geology); Mathematical analysis; Geometry; Computer science; Homotopy; Geology","score_opus":0.05794967017742075,"score_gpt":0.31523021599548307,"score_spread":0.2572805458180623,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1926989767","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9736863,0.00045690968,0.010599965,0.00031114955,0.000020882611,0.000008413442,0.00008395556,0.000038147915,0.014794334],"genre_scores_gemma":[0.99575293,0.00017759847,0.0014133516,0.000021319063,0.00003813048,0.00000497555,0.00007842573,0.000008850181,0.0025045197],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997969,0.000029163692,0.0000071354425,0.000038568764,0.000066320485,0.00006191018],"domain_scores_gemma":[0.99973434,0.000037033653,0.00006243874,0.000032048916,0.000027502654,0.00010659229],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024593816,0.00034070725,0.00038357818,0.0019528731,0.0007896443,0.0016767484,0.00033112106,0.0004102241,0.0028862266],"category_scores_gemma":[0.00066446693,0.0002262039,0.00033423526,0.00077496923,0.0018805838,0.0023234598,0.0016401949,0.0007633898,0.00018827127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004300297,0.0000227437,0.0030090436,0.000034248293,0.00002071521,0.0004496612,0.0016095908,0.0015642701,0.0050400165,0.9792498,0.00057104387,0.008385921],"study_design_scores_gemma":[0.000025065367,0.00010086461,0.022285964,0.000028949831,0.00002572419,0.0013481077,0.0010018457,0.0163515,0.0032539845,0.94788253,0.007648819,0.00004648707],"about_ca_topic_score_codex":0.0010572184,"about_ca_topic_score_gemma":0.0005509631,"teacher_disagreement_score":0.0028862266,"about_ca_system_score_codex":0.0006578881,"about_ca_system_score_gemma":0.00017341049,"threshold_uncertainty_score":0.009655416},"labels":[],"label_agreement":null},{"id":"W1965309953","doi":"10.1002/mana.201100298","title":"On some bilinear problems on weighted Hardy‐Sobolev spaces","year":2012,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Cascades (Canada)","funders":"","keywords":"Mathematics; Sobolev space; Bilinear interpolation; Hardy space; Pure mathematics; Mathematical analysis; Statistics","score_opus":0.08144348585140239,"score_gpt":0.360139467827213,"score_spread":0.27869598197581064,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1965309953","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26765594,0.0018127229,0.7037739,0.002692822,0.00030154563,0.00013770735,0.00022736886,0.00008528057,0.023312604],"genre_scores_gemma":[0.9108854,0.00157248,0.061211854,0.00043819708,0.00050418865,0.00021436068,0.0002951541,0.00012588894,0.024752466],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981153,0.0009402674,0.0000809122,0.00026932254,0.00034068036,0.00025357128],"domain_scores_gemma":[0.9955258,0.0024127106,0.00047394962,0.00020149023,0.0007025293,0.00068339106],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0048261546,0.001435185,0.001139508,0.0017102602,0.0010019084,0.0028962342,0.0011822314,0.0017035146,0.004158532],"category_scores_gemma":[0.009755331,0.0006222836,0.0010216497,0.001122323,0.003160919,0.005052567,0.0036460923,0.002542886,0.00037379688],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015377239,0.00011776451,0.0007134545,0.00024479174,0.000049024835,0.00019482525,0.00043830794,0.0260598,0.0043902225,0.95734495,0.00096918776,0.009323908],"study_design_scores_gemma":[0.000040357696,0.00012761985,0.0005843487,0.000060149658,0.00002518065,0.00019644186,0.00036327614,0.2743676,0.0025008374,0.71871465,0.0029710988,0.000048377624],"about_ca_topic_score_codex":0.0013217152,"about_ca_topic_score_gemma":0.0004941014,"teacher_disagreement_score":0.0048261546,"about_ca_system_score_codex":0.0018159982,"about_ca_system_score_gemma":0.0010340051,"threshold_uncertainty_score":0.025523484},"labels":[],"label_agreement":null},{"id":"W1974695384","doi":"10.1002/mana.200710128","title":"Negativity indices for definite and indefinite Sturm‐Liouville problems","year":2010,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Sturm–Liouville theory; Mathematics; Negativity effect; Positive-definite matrix; Pure mathematics; Applied mathematics; Mathematical analysis; Cognitive psychology; Eigenvalues and eigenvectors; Psychology","score_opus":0.0516575671864535,"score_gpt":0.3302209692813199,"score_spread":0.2785634020948664,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1974695384","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24886818,0.004011421,0.5103419,0.0032329906,0.0013602958,0.00016514366,0.00031295483,0.00048767074,0.23121947],"genre_scores_gemma":[0.89442563,0.0012205502,0.07934781,0.00062704453,0.00073817867,0.00029419296,0.00028498203,0.00026339418,0.022798216],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99766636,0.0009047762,0.00023419938,0.00020347653,0.000775191,0.0002160383],"domain_scores_gemma":[0.9944078,0.002488709,0.0007152821,0.00037418192,0.0012101951,0.00080388086],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0060993796,0.0010559909,0.0008910571,0.004267442,0.0017027395,0.0052540167,0.0012733417,0.0015004827,0.00620434],"category_scores_gemma":[0.009450965,0.00044003606,0.0007890294,0.0016059713,0.0062126545,0.00726042,0.0028474687,0.0030120455,0.0011185202],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015724243,0.0000073592196,0.00010302415,0.000023524923,0.0000020604502,0.000022903174,0.00013064225,0.00025714646,0.0005990911,0.9967272,0.00048491015,0.0016263692],"study_design_scores_gemma":[0.000012811555,0.000032909276,0.0002591798,0.00003989404,0.0000066153902,0.0001295582,0.00016651968,0.010504919,0.001094871,0.9835866,0.004139648,0.00002647148],"about_ca_topic_score_codex":0.00029081418,"about_ca_topic_score_gemma":0.00031506782,"teacher_disagreement_score":0.00620434,"about_ca_system_score_codex":0.0021773435,"about_ca_system_score_gemma":0.0007574683,"threshold_uncertainty_score":0.03225696},"labels":[],"label_agreement":null},{"id":"W1987857688","doi":"10.1002/mana.200410311","title":"A glimpse into the life and times of F. V. Atkinson","year":2005,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Operator (biology); Work (physics); Value (mathematics); Calculus (dental); Riemann hypothesis; Index (typography); Number theory; Differential operator; Pure mathematics; Applied mathematics; Algebra over a field; Computer science; Statistics; Physics","score_opus":0.025121898296461564,"score_gpt":0.30091156621528453,"score_spread":0.275789667918823,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987857688","genre_codex":"review","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.008063471,0.65503854,0.020506084,0.19155069,0.030146398,0.000032362215,0.00014373532,0.00028003386,0.09423874],"genre_scores_gemma":[0.15916415,0.53829944,0.022893026,0.05515715,0.05098718,0.000096830874,0.00023416622,0.0006362542,0.17253183],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9991416,0.00033666124,0.00004465923,0.00014407819,0.00024644326,0.000086514505],"domain_scores_gemma":[0.9990741,0.000440047,0.00007798884,0.00003932135,0.00021891545,0.00014956968],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014171867,0.00065264606,0.0006083159,0.0018652776,0.0017418558,0.0037953588,0.0006089328,0.0021163386,0.004652559],"category_scores_gemma":[0.0037663584,0.00033263376,0.0002683815,0.001286643,0.0032775782,0.0060643815,0.001649911,0.0033797238,0.0029784925],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010089824,0.000029337929,0.00051518774,0.0004587203,0.000022286278,0.00033436433,0.00230598,0.00040090943,0.001085577,0.51392937,0.37098232,0.10983502],"study_design_scores_gemma":[0.0000030286683,0.000020674586,0.00026200368,0.00025518154,0.000002984228,0.00030368683,0.00024073532,0.00009838575,0.0001578573,0.066554144,0.93208694,0.000014329063],"about_ca_topic_score_codex":0.0032352344,"about_ca_topic_score_gemma":0.0023965861,"teacher_disagreement_score":0.004652559,"about_ca_system_score_codex":0.002568315,"about_ca_system_score_gemma":0.0012316041,"threshold_uncertainty_score":0.018634558},"labels":[],"label_agreement":null},{"id":"W1990499359","doi":"10.1002/mana.200310247","title":"A relative index on the space of 3‐dimensional embeddable CR‐structures of finite type","year":2005,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Bar (unit); Type (biology); Projection (relational algebra); Space (punctuation); Operator (biology); Eigenvalues and eigenvectors; Combinatorics; Pure mathematics; Deformation (meteorology); Index (typography); Mathematical analysis; Physics; Chemistry; Algorithm","score_opus":0.04137484242403136,"score_gpt":0.2946258108633926,"score_spread":0.25325096843936123,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990499359","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88050145,0.0002767152,0.09255862,0.00017056514,0.00009120096,0.00003384959,0.0001227222,0.00012539749,0.02611948],"genre_scores_gemma":[0.98281616,0.00013845236,0.010195688,0.000046176432,0.0000642232,0.000036156707,0.000108754095,0.00002972477,0.0065647624],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997148,0.000040837862,0.000015075336,0.0000716284,0.000099031655,0.000058645448],"domain_scores_gemma":[0.99955136,0.0000853933,0.00012284375,0.00004033686,0.00006316849,0.00013694544],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003896228,0.000477587,0.00042048644,0.0012280804,0.00066813285,0.0015707054,0.00045104162,0.0004253032,0.00417899],"category_scores_gemma":[0.0007568893,0.00020907937,0.0003550803,0.00053611636,0.0016716325,0.0017330891,0.001072531,0.0009103709,0.00041717518],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011215339,0.000033164404,0.00078022206,0.000047995483,0.0000125213965,0.00028473412,0.00035451213,0.0023513865,0.019909771,0.96725357,0.0003854163,0.008474474],"study_design_scores_gemma":[0.00009450288,0.00061431597,0.008911039,0.00004676104,0.00004390498,0.0018549471,0.00064802973,0.07550579,0.026760863,0.8718104,0.013599437,0.00011006471],"about_ca_topic_score_codex":0.00038684203,"about_ca_topic_score_gemma":0.0002748912,"teacher_disagreement_score":0.00417899,"about_ca_system_score_codex":0.0007407491,"about_ca_system_score_gemma":0.00019686528,"threshold_uncertainty_score":0.01398015},"labels":[],"label_agreement":null},{"id":"W1994966289","doi":"10.1002/mana.200910837","title":"Perturbation of complex polynomials and normal operators","year":2009,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Austrian Science Fund","keywords":"Mathematics; Absolute continuity; Monic polynomial; Eigenvalues and eigenvectors; Differentiable function; Pure mathematics; Perturbation (astronomy); Order (exchange); Combinatorics; Mathematical analysis; Discrete mathematics; Polynomial","score_opus":0.04835681318442493,"score_gpt":0.3070385593621725,"score_spread":0.2586817461777476,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994966289","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92326576,0.00028266074,0.066368274,0.00027377586,0.000040528048,0.000014206658,0.000040314026,0.000092675975,0.0096218595],"genre_scores_gemma":[0.9960905,0.00006147653,0.0020080563,0.000009873338,0.000020034195,0.0000031197228,0.00001426743,0.000010383271,0.0017822488],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997112,0.00006056734,0.000009599701,0.00006400921,0.00011051333,0.000044033517],"domain_scores_gemma":[0.9993722,0.00017857185,0.00016485486,0.000075295604,0.000093172675,0.00011595284],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035005642,0.00032221279,0.000315356,0.0008161581,0.00042147003,0.00082819635,0.0003345263,0.00042184285,0.0014964838],"category_scores_gemma":[0.0022486974,0.00014277888,0.00021281205,0.0003695037,0.0018546846,0.0009873413,0.00074879965,0.00070706196,0.00018727081],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020108087,0.00004549603,0.002703841,0.000061383784,0.000019745761,0.00054677145,0.00048195597,0.04858059,0.048093002,0.88533545,0.00056140573,0.01336935],"study_design_scores_gemma":[0.00003139838,0.00022297348,0.0064867334,0.000023243168,0.000012991232,0.0011646677,0.0003542477,0.36206767,0.017297799,0.607749,0.004527001,0.0000622775],"about_ca_topic_score_codex":0.00060185086,"about_ca_topic_score_gemma":0.00026055484,"teacher_disagreement_score":0.0014964838,"about_ca_system_score_codex":0.00084893295,"about_ca_system_score_gemma":0.00020487381,"threshold_uncertainty_score":0.0061594844},"labels":[],"label_agreement":null},{"id":"W1995677215","doi":"10.1002/mana.200310338","title":"Lazard's Theorem for<i>S</i>‐posets","year":2005,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"semigroups and automata theory","field":"Computer Science","cited_by":50,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Flatness (cosmology); Functor; Pure mathematics; Tensor product; Indecomposable module; Flat module; Monoid; Property (philosophy); Quotient; Algebra over a field; Discrete mathematics; Finitely-generated abelian group; Projective module","score_opus":0.012549179343731624,"score_gpt":0.24527817056894996,"score_spread":0.23272899122521834,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1995677215","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48908198,0.0031909747,0.27132654,0.0029192609,0.00047775236,0.0001843517,0.0008456733,0.0008480865,0.2311253],"genre_scores_gemma":[0.9710088,0.00056989066,0.014709943,0.0004088863,0.00036808505,0.00007774553,0.0005255692,0.00007249334,0.012258479],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99851996,0.0002363015,0.00011016963,0.0004692336,0.00037315357,0.00029115684],"domain_scores_gemma":[0.9976242,0.0010669192,0.00022432888,0.00020934793,0.00044046168,0.00043472278],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024534035,0.0005454755,0.0008908644,0.002949951,0.002098784,0.00327395,0.00091645337,0.0007603409,0.007724062],"category_scores_gemma":[0.003270409,0.0005319896,0.0016994892,0.0011043998,0.0052631213,0.0062624584,0.0034853665,0.0026083977,0.00071326125],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003219904,0.000015434276,0.00075843884,0.000036988476,0.000013091443,0.00016974086,0.0003896647,0.00043208915,0.000577753,0.99307054,0.00065381353,0.0038502638],"study_design_scores_gemma":[0.000027009957,0.00005136276,0.0013260648,0.00002446762,0.000018732228,0.00023788413,0.000206474,0.003437717,0.0014900584,0.9863876,0.0067693666,0.000023234108],"about_ca_topic_score_codex":0.0024451495,"about_ca_topic_score_gemma":0.0012575842,"teacher_disagreement_score":0.007724062,"about_ca_system_score_codex":0.0020242166,"about_ca_system_score_gemma":0.0007456178,"threshold_uncertainty_score":0.025839627},"labels":[],"label_agreement":null},{"id":"W1997547892","doi":"10.1002/mana.200710023","title":"Singularities of o‐minimal Peano derivatives","year":2010,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Peano axioms; Differentiable function; Mathematics; Classification of discontinuities; Bounded function; Pure mathematics; Discrete mathematics; Mathematical analysis","score_opus":0.02887894280647423,"score_gpt":0.319986661094537,"score_spread":0.29110771828806276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1997547892","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7705835,0.001668632,0.10811597,0.0010595487,0.00017234564,0.0000349835,0.0002353458,0.000211935,0.11791783],"genre_scores_gemma":[0.99038064,0.00020903365,0.004761542,0.000095977695,0.00004367082,0.000011475775,0.000054875927,0.000020541334,0.0044222996],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999665,0.000050114715,0.000017164159,0.00006722322,0.00013096345,0.0000695224],"domain_scores_gemma":[0.99947315,0.00018218471,0.00008961729,0.00004828892,0.00008445303,0.00012237743],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043647192,0.0003350347,0.0003885064,0.0010476081,0.00056489627,0.0015398045,0.0003538705,0.00036937266,0.0024281184],"category_scores_gemma":[0.002012878,0.00018947409,0.00034113973,0.0004156451,0.0024957743,0.0021623075,0.0015397451,0.0013222704,0.0002628972],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051393687,0.0000097346265,0.0005453795,0.000032674543,0.0000046226755,0.00023878606,0.00021703247,0.0011969766,0.0032405755,0.9898527,0.00039588133,0.004214238],"study_design_scores_gemma":[0.00002506731,0.000042945863,0.0015165743,0.00004836354,0.000012850247,0.00056934735,0.00029725596,0.010689567,0.0032504199,0.9750931,0.008430827,0.00002369973],"about_ca_topic_score_codex":0.0005054804,"about_ca_topic_score_gemma":0.00024937658,"teacher_disagreement_score":0.0024281184,"about_ca_system_score_codex":0.0008831317,"about_ca_system_score_gemma":0.00022687069,"threshold_uncertainty_score":0.008122861},"labels":[],"label_agreement":null},{"id":"W1999021106","doi":"10.1002/mana.200510433","title":"Radius problems for holomorphic mappings on the unit ball in Cn","year":2006,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Holomorphic function; Mathematics; Unit sphere; Convexity; Pure mathematics; Ball (mathematics); Hilbert space; Mathematical analysis; Discrete mathematics","score_opus":0.082833321917395,"score_gpt":0.2828314800749164,"score_spread":0.19999815815752137,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1999021106","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76810795,0.0013851682,0.21327104,0.0008316559,0.00006234009,0.0000853106,0.00013499649,0.00008651013,0.016035091],"genre_scores_gemma":[0.9762433,0.0005325145,0.017407041,0.000051467458,0.00005478808,0.00005801141,0.00012273218,0.00004010737,0.005489949],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991086,0.0003834162,0.000046233454,0.00015816613,0.00020628692,0.0000972365],"domain_scores_gemma":[0.9969658,0.0019583316,0.0003531986,0.0001050967,0.00035938493,0.00025814943],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002135394,0.00077153475,0.0010035263,0.0014363498,0.0007264896,0.001972853,0.00097027776,0.0010859604,0.0023797657],"category_scores_gemma":[0.008004009,0.0003915385,0.00044068252,0.0004911485,0.001941426,0.0026175291,0.0015224701,0.00090790645,0.00024919046],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003243516,0.000046527242,0.0013212712,0.00018776266,0.00003701831,0.00026509046,0.00035623513,0.07279533,0.009428396,0.9024448,0.001467958,0.011325416],"study_design_scores_gemma":[0.00007094234,0.00012870658,0.0025611797,0.00004428088,0.000017552346,0.000413326,0.00032880376,0.65554416,0.0044321083,0.33383477,0.002572381,0.00005178762],"about_ca_topic_score_codex":0.002265158,"about_ca_topic_score_gemma":0.00076733483,"teacher_disagreement_score":0.0023797657,"about_ca_system_score_codex":0.0017059329,"about_ca_system_score_gemma":0.00036912694,"threshold_uncertainty_score":0.012377441},"labels":[],"label_agreement":null},{"id":"W2012449165","doi":"10.1002/mana.200710032","title":"Some applications of the Gamma and polygamma functions involving convolutions of the Rayleigh functions, multiple Euler sums and log‐sine integrals","year":2009,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Parameterized complexity; Logarithm; Euler's formula; Gamma function; Sine; Series (stratigraphy); Class (philosophy); Function (biology); Pure mathematics; Identity (music); Mathematical analysis; Combinatorics","score_opus":0.026073578990025468,"score_gpt":0.2686925394298837,"score_spread":0.24261896043985823,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2012449165","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26536536,0.0039430284,0.6581346,0.0014099568,0.00060543546,0.000051621024,0.000067163164,0.00037819677,0.070044704],"genre_scores_gemma":[0.8822928,0.001871127,0.0947098,0.0003132045,0.0005525231,0.000048827394,0.000050104045,0.00015788771,0.020003812],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996278,0.0001485775,0.000028152292,0.000038664537,0.0001181927,0.0000386061],"domain_scores_gemma":[0.99926895,0.00039803056,0.000090674694,0.00006714674,0.000099297235,0.0000758637],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014181689,0.00084954145,0.0004990948,0.0013639592,0.0006468361,0.0016765209,0.0007271251,0.00090540125,0.004039259],"category_scores_gemma":[0.0039441646,0.00023719591,0.000757005,0.0010369894,0.0017966229,0.0027636965,0.001701478,0.0012540616,0.0005944541],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015512935,0.000015122827,0.00037092154,0.000032326614,0.000008831202,0.0003325395,0.00015986247,0.008167978,0.0017852981,0.9754768,0.0005917219,0.013043072],"study_design_scores_gemma":[0.000006909339,0.000030388366,0.000474021,0.000030251913,0.000013711484,0.0006695685,0.00009300622,0.11920249,0.002289959,0.8728117,0.0043557896,0.000022264621],"about_ca_topic_score_codex":0.0005472854,"about_ca_topic_score_gemma":0.00046827228,"teacher_disagreement_score":0.004039259,"about_ca_system_score_codex":0.0009765909,"about_ca_system_score_gemma":0.0004926022,"threshold_uncertainty_score":0.013512671},"labels":[],"label_agreement":null},{"id":"W2015136416","doi":"10.1002/1522-2616(200202)235:1<129::aid-mana129>3.0.co;2-s","title":"Groups andC*-Algebras from a 4-Dimensional Anzai Flow","year":2002,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quotient; Mathematics; Algebra over a field; Flow (mathematics); Group (periodic table); Simple (philosophy); Combinatorics; Pure mathematics; Philosophy; Geometry; Physics; Epistemology","score_opus":0.06577894809578098,"score_gpt":0.30789754044213236,"score_spread":0.24211859234635136,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2015136416","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8682662,0.00044362238,0.04536048,0.00063095125,0.00013592895,0.00010189564,0.00013139953,0.00017868138,0.08475084],"genre_scores_gemma":[0.94685435,0.00030776506,0.026271092,0.00015822863,0.0001572543,0.00010960032,0.000346554,0.000045665907,0.025749482],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995004,0.0000862659,0.000024707697,0.00007074599,0.00018560771,0.00013230031],"domain_scores_gemma":[0.9997482,0.000029404422,0.00006494809,0.000036635352,0.00003439555,0.00008633741],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050111813,0.00057220476,0.00035200897,0.0010683353,0.0016345186,0.001719667,0.0005177507,0.00061366695,0.0059668384],"category_scores_gemma":[0.00059924135,0.00024254785,0.00064173434,0.0004661828,0.0029034973,0.0027112956,0.002362517,0.0009627123,0.00058811053],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026167972,0.000013490764,0.0002118962,0.000016404167,0.0000030267397,0.000104863524,0.00042060236,0.0008554725,0.003349114,0.9914221,0.00022983683,0.0033470273],"study_design_scores_gemma":[0.00003413682,0.00005383254,0.0010002096,0.000012546599,0.000005692645,0.00019132931,0.00028731354,0.005436495,0.0034362948,0.97932875,0.010191694,0.000021603702],"about_ca_topic_score_codex":0.0012824233,"about_ca_topic_score_gemma":0.0009618665,"teacher_disagreement_score":0.0059668384,"about_ca_system_score_codex":0.0011861585,"about_ca_system_score_gemma":0.0006058152,"threshold_uncertainty_score":0.01996106},"labels":[],"label_agreement":null},{"id":"W2042949782","doi":"10.1002/mana.200610830","title":"Directional maximal operators with smooth densities","year":2009,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Bounded function; Operator (biology); Order (exchange); Function (biology); Mathematical analysis; Type (biology); Set (abstract data type); Combinatorics; Pure mathematics; Discrete mathematics","score_opus":0.04034117963036024,"score_gpt":0.32964681449098004,"score_spread":0.2893056348606198,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2042949782","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73980856,0.0007871161,0.22200993,0.00053511723,0.00011697596,0.000047386493,0.00008567012,0.00012261477,0.036486603],"genre_scores_gemma":[0.9734788,0.0002974782,0.01869957,0.00008851156,0.00008571343,0.00005001671,0.000066075976,0.00002718708,0.0072066425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994948,0.0001256019,0.000021721224,0.000074786476,0.00018177698,0.00010131896],"domain_scores_gemma":[0.9989176,0.0003063668,0.00018788704,0.00008992816,0.00020983815,0.00028845426],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012682357,0.0004724316,0.0004029152,0.0010769526,0.00078485295,0.0012410341,0.0005851921,0.00054010964,0.0026355316],"category_scores_gemma":[0.0025728154,0.00027084636,0.00057889015,0.00042725762,0.0019695547,0.0016189034,0.0021191128,0.0009944708,0.00021857984],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003931533,0.00001690322,0.0005532654,0.00003274822,0.000011141138,0.00009732457,0.00012920256,0.0037627623,0.005634202,0.9864119,0.00030089496,0.0030102113],"study_design_scores_gemma":[0.000033737706,0.00011572838,0.0016234444,0.00003368479,0.000018629884,0.00034910766,0.00028955794,0.0921314,0.0046655647,0.8970268,0.003677309,0.00003509679],"about_ca_topic_score_codex":0.00065139425,"about_ca_topic_score_gemma":0.0005433353,"teacher_disagreement_score":0.0026355316,"about_ca_system_score_codex":0.0007754464,"about_ca_system_score_gemma":0.00041707137,"threshold_uncertainty_score":0.008816779},"labels":[],"label_agreement":null},{"id":"W2045801261","doi":"10.1002/mana.200410424","title":"A connection between Schur multiplication and Fourier interpolation. II","year":2006,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Ryerson University","keywords":"Mathematics; Hermitian matrix; Combinatorics; Matrix norm; Unitary matrix; Matrix multiplication; Schur product theorem; Schur decomposition; Norm (philosophy); Matrix (chemical analysis); Gramian matrix; Sesquilinear form; Hankel matrix; Connection (principal bundle); Schur complement; Unitary state; Pure mathematics; Mathematical analysis; Eigenvalues and eigenvectors; Geometry","score_opus":0.011484332084719355,"score_gpt":0.23504645992395762,"score_spread":0.22356212783923826,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2045801261","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08888947,0.0016795966,0.8501787,0.0012220076,0.0006153941,0.000098077304,0.00020819457,0.00019315541,0.056915496],"genre_scores_gemma":[0.74554807,0.0009808865,0.2324368,0.00039902635,0.0007849113,0.00015852232,0.00022544514,0.00019157528,0.019274732],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998604,0.0005393538,0.000073829025,0.0002442517,0.00038313743,0.00015557569],"domain_scores_gemma":[0.9973937,0.0011192581,0.0003797588,0.00035523315,0.0005231676,0.00022890605],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00302449,0.00063008006,0.0005882296,0.0016469173,0.0011552359,0.0017512568,0.00083964074,0.0009264665,0.004056782],"category_scores_gemma":[0.0057666623,0.00039810376,0.0007736226,0.0011544462,0.003707973,0.0033147014,0.0020912685,0.00237272,0.00069559197],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043060034,0.000013533763,0.00018066456,0.000025326292,0.0000053887934,0.00004366324,0.00012689258,0.0025223298,0.0014509186,0.9846752,0.0006834729,0.010229544],"study_design_scores_gemma":[0.000009980855,0.00007745234,0.0003304052,0.000029307737,0.0000050102153,0.00014760901,0.00007079305,0.059468806,0.0027318755,0.9306603,0.0064396,0.000028971292],"about_ca_topic_score_codex":0.0007495468,"about_ca_topic_score_gemma":0.00054205867,"teacher_disagreement_score":0.004056782,"about_ca_system_score_codex":0.0013188507,"about_ca_system_score_gemma":0.0005832465,"threshold_uncertainty_score":0.015995204},"labels":[],"label_agreement":null},{"id":"W2062540714","doi":"10.1002/mana.200310363","title":"<i>M</i> ‐elliptic pseudo‐differential operators on <i>L</i><sup><i>p</i></sup>(ℝ<sup><i>n</i></sup>)","year":2005,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Pseudodifferential operators; Differential operator; Spectral line; Elliptic operator; Constant coefficients; Pure mathematics; Mathematical analysis; Combinatorics; Physics; Quantum mechanics","score_opus":0.03419197138344192,"score_gpt":0.30202516487455083,"score_spread":0.2678331934911089,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2062540714","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7689637,0.0006315918,0.16834387,0.0010339451,0.0001627545,0.000042447777,0.00013928115,0.00014022423,0.060542244],"genre_scores_gemma":[0.97825044,0.00024085399,0.0152733885,0.000115827475,0.00005653606,0.000030540596,0.000047867732,0.000036938305,0.0059475824],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998117,0.00003926843,0.000009632268,0.000043125223,0.00005570651,0.00004056954],"domain_scores_gemma":[0.99955183,0.00009564677,0.000101253354,0.000032901098,0.00009805523,0.00012020682],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058140384,0.00040930498,0.0002340905,0.0007987688,0.00059511204,0.0012872509,0.00034552356,0.0003390022,0.0032876767],"category_scores_gemma":[0.0009894893,0.00014751838,0.00031634973,0.00021297992,0.0020969203,0.0015545794,0.0013149731,0.0010065977,0.00032095914],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044493318,0.00001766574,0.00053809874,0.000047285124,0.000004056209,0.00020949567,0.00029170985,0.0012618673,0.013889625,0.9778591,0.00047904212,0.0053575705],"study_design_scores_gemma":[0.000020053309,0.00007736761,0.002571544,0.000059704143,0.000008579856,0.00090602855,0.00045454883,0.033418205,0.022189295,0.933456,0.0068035536,0.000035116136],"about_ca_topic_score_codex":0.00022153485,"about_ca_topic_score_gemma":0.00015143116,"teacher_disagreement_score":0.0032876767,"about_ca_system_score_codex":0.0006087553,"about_ca_system_score_gemma":0.00034578846,"threshold_uncertainty_score":0.010998368},"labels":[],"label_agreement":null},{"id":"W2086113085","doi":"10.1002/mana.200610812","title":"Approximation by rational operators in <i>L<sup>p</sup></i> spaces","year":2009,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"St. Francis Xavier University","funders":"","keywords":"Mathematics; Converse; Pure mathematics; Type (biology); Equivalence (formal languages); Smoothness; Mathematical analysis; Algebra over a field; Geometry","score_opus":0.02243347231864593,"score_gpt":0.28178560615921044,"score_spread":0.2593521338405645,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086113085","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.55852175,0.00054369675,0.42221203,0.00065372686,0.00008221057,0.000027082933,0.00007669221,0.00025500095,0.017627789],"genre_scores_gemma":[0.9739864,0.00024588717,0.021616388,0.000048446687,0.000043339864,0.000018209554,0.000047204747,0.000043594264,0.0039505456],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992187,0.00025083605,0.000037527054,0.00012441371,0.00025546033,0.00011298607],"domain_scores_gemma":[0.9988826,0.00046399748,0.00021495351,0.000117667034,0.00016433297,0.00015649747],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015011143,0.00062874774,0.00051686267,0.0012335359,0.000411172,0.0023644012,0.00066411746,0.0005971879,0.002086004],"category_scores_gemma":[0.0029990573,0.0002815199,0.0005594459,0.0005835012,0.0023596091,0.00275826,0.0018817603,0.0014399943,0.0003209457],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001104821,0.000022155544,0.00087571447,0.000053039374,0.000016825596,0.00013206693,0.00027600315,0.010104165,0.007961371,0.97292626,0.0003475633,0.00717427],"study_design_scores_gemma":[0.00003108244,0.00013465682,0.0010580167,0.000032631327,0.000019085708,0.00027514665,0.00027822994,0.21827388,0.007822756,0.76932293,0.0027219786,0.000029626055],"about_ca_topic_score_codex":0.00047007037,"about_ca_topic_score_gemma":0.00023200385,"teacher_disagreement_score":0.0023644012,"about_ca_system_score_codex":0.0011579627,"about_ca_system_score_gemma":0.0002992107,"threshold_uncertainty_score":0.008401692},"labels":[],"label_agreement":null},{"id":"W2107593619","doi":"10.1002/mana.200610768","title":"Estimates of <i>n</i> ‐widths of Besov classes on two‐point homogeneous manifolds","year":2009,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Homogeneous; Besov space; Rank (graph theory); Point (geometry); Pure mathematics; Combinatorics; Mathematical analysis; Interpolation space; Geometry; Functional analysis; Chemistry","score_opus":0.047278572841284824,"score_gpt":0.3682610813657878,"score_spread":0.32098250852450294,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2107593619","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6095961,0.0012939646,0.34779865,0.0007143366,0.00013189681,0.00004712902,0.00033138526,0.00024386036,0.039842755],"genre_scores_gemma":[0.9703475,0.0006057683,0.02095199,0.000089861496,0.00013700647,0.00006842603,0.00024443198,0.000097410986,0.0074575925],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99939513,0.00014731877,0.00003626583,0.0001284414,0.00017207729,0.0001208613],"domain_scores_gemma":[0.9959805,0.0017720861,0.00071119756,0.00030866527,0.00050354423,0.00072397734],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020370753,0.0010555394,0.00047377954,0.00281295,0.0006537364,0.0016923823,0.0010724033,0.00056729355,0.003389038],"category_scores_gemma":[0.0060337824,0.000528883,0.00060118095,0.00061788986,0.0027809672,0.0033221594,0.0025241491,0.0018773171,0.00046220687],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025914365,0.000053062868,0.0044715027,0.00019845391,0.000041081777,0.000107515916,0.00040265272,0.01823136,0.01893187,0.93868697,0.0015632163,0.017053194],"study_design_scores_gemma":[0.000027279899,0.00019356902,0.013461639,0.00013659163,0.000046654808,0.00042993276,0.0004614047,0.18249133,0.020722222,0.7751396,0.0067517534,0.00013797653],"about_ca_topic_score_codex":0.0006109419,"about_ca_topic_score_gemma":0.00058946887,"teacher_disagreement_score":0.003389038,"about_ca_system_score_codex":0.0014143371,"about_ca_system_score_gemma":0.00038722076,"threshold_uncertainty_score":0.011337459},"labels":[],"label_agreement":null},{"id":"W2134727742","doi":"10.1002/mana.201600500","title":"The ∞‐Besov capacity problem","year":2017,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Pointwise; Calculus (dental); Limit (mathematics); Optimization problem; Set theory","score_opus":0.14150138499702147,"score_gpt":0.39896712794242783,"score_spread":0.25746574294540636,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2134727742","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21139391,0.0019666024,0.64795756,0.004648464,0.00039057757,0.000104629544,0.0007963559,0.00015334204,0.13258858],"genre_scores_gemma":[0.92946297,0.0013645024,0.035470482,0.0004209058,0.00053919497,0.00023352013,0.00059444696,0.00011199898,0.03180197],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99914896,0.00035124182,0.000041043168,0.00013389687,0.00019478331,0.00013006896],"domain_scores_gemma":[0.9975526,0.0012829376,0.0002223567,0.000117757394,0.00046490922,0.0003594452],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019234639,0.00073980243,0.00083965826,0.0012603675,0.0008647582,0.0020531612,0.0011802561,0.0010488504,0.009251443],"category_scores_gemma":[0.004761961,0.00035103594,0.0006181794,0.0008999848,0.0030191923,0.0041687298,0.0028039932,0.0025628302,0.00059061724],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014695606,0.0000063285715,0.00007383431,0.000031210682,0.0000055688665,0.000022093898,0.000028398445,0.005838536,0.0005233453,0.99080163,0.00071654486,0.0019377742],"study_design_scores_gemma":[0.00000672685,0.000017052049,0.00014341727,0.000028486173,0.0000036926842,0.000041735253,0.00004770208,0.075949684,0.00062939647,0.92071563,0.0024031852,0.000013355084],"about_ca_topic_score_codex":0.0013152462,"about_ca_topic_score_gemma":0.0006451157,"teacher_disagreement_score":0.009251443,"about_ca_system_score_codex":0.0018151964,"about_ca_system_score_gemma":0.0013014978,"threshold_uncertainty_score":0.030949175},"labels":[],"label_agreement":null},{"id":"W2153870926","doi":"10.1002/mana.200410404","title":"The odd‐dimensional Goldberg conjecture","year":2006,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Conjecture; Mathematics; Orbifold; Argument (complex analysis); Pure mathematics; Combinatorics","score_opus":0.020973885856623766,"score_gpt":0.26459301965813614,"score_spread":0.24361913380151237,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2153870926","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76196975,0.0009349706,0.03210268,0.008205025,0.0009553946,0.000022691604,0.0003704917,0.00051133835,0.19492768],"genre_scores_gemma":[0.992945,0.00015549498,0.001971881,0.00047797177,0.00011478348,0.000011789661,0.00009358844,0.000015706923,0.0042136954],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996474,0.0000926194,0.000017013079,0.00006791312,0.00007943119,0.00009553411],"domain_scores_gemma":[0.99928266,0.00023639045,0.00009411646,0.0001767564,0.00008978395,0.00012033387],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005144929,0.00025714614,0.00046279677,0.00048849464,0.0007819206,0.0017316287,0.0005660467,0.0009906424,0.00482294],"category_scores_gemma":[0.0016819679,0.00017749584,0.00035506472,0.00032584005,0.0025729388,0.0018424778,0.0017140443,0.0012167449,0.0005523862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009082298,0.00001164558,0.0013307981,0.00003742584,0.000007155398,0.00022697789,0.00015278504,0.001517881,0.0013808364,0.9867792,0.0049571926,0.003507293],"study_design_scores_gemma":[0.000038014226,0.000016866457,0.001275596,0.000026969314,0.000008103241,0.00027797653,0.0001749308,0.007889504,0.00080135086,0.98102987,0.0084454715,0.00001545215],"about_ca_topic_score_codex":0.0011878047,"about_ca_topic_score_gemma":0.00084921444,"teacher_disagreement_score":0.00482294,"about_ca_system_score_codex":0.00081328134,"about_ca_system_score_gemma":0.00047404566,"threshold_uncertainty_score":0.016134322},"labels":[],"label_agreement":null},{"id":"W2463379745","doi":"10.1002/mana.201500073","title":"On maximal immediate extensions of valued fields","year":2016,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Extension (predicate logic); Isomorphism (crystallography); Residue field; Pure mathematics; Algebraic closure; Algebraic number; Algebraic extension; Field (mathematics); Discrete mathematics; Mathematical analysis","score_opus":0.03254041479102532,"score_gpt":0.2851436622254487,"score_spread":0.25260324743442336,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2463379745","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9029786,0.0014357688,0.04035661,0.00043956775,0.000070721166,0.000035493314,0.00012067501,0.00008041373,0.054482102],"genre_scores_gemma":[0.9900177,0.0005201062,0.0041174702,0.000031946314,0.000112571855,0.000014941713,0.000087591994,0.00001203364,0.005085667],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994966,0.00011434426,0.000023912902,0.00009138341,0.00013476578,0.00013897558],"domain_scores_gemma":[0.9983296,0.00075871364,0.0002736465,0.000120154684,0.00017305442,0.0003448547],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011515641,0.0005177838,0.00046556062,0.0015018507,0.0010353462,0.001727762,0.0004730194,0.0003755814,0.0026404157],"category_scores_gemma":[0.0028626008,0.00024608828,0.00055602763,0.0007760452,0.003162592,0.004649232,0.0020702858,0.0012090775,0.0003261496],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008515528,0.000056202785,0.0016711319,0.00009021233,0.000013550465,0.0006525077,0.0010484898,0.0019189921,0.0029601427,0.9840268,0.00033882205,0.007138027],"study_design_scores_gemma":[0.00002829648,0.0000998647,0.0018429412,0.000067124616,0.000015600146,0.0005911903,0.00047996946,0.0034792458,0.0021889894,0.9860802,0.005107673,0.000018942],"about_ca_topic_score_codex":0.0003477938,"about_ca_topic_score_gemma":0.00027242902,"teacher_disagreement_score":0.0026404157,"about_ca_system_score_codex":0.0008437178,"about_ca_system_score_gemma":0.00035633263,"threshold_uncertainty_score":0.00883311},"labels":[],"label_agreement":null},{"id":"W2604191110","doi":"10.1002/mana.201600529","title":"Chow ring of generic flag varieties","year":2017,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Flag (linear algebra); Isomorphism (crystallography); Conjecture; Pure mathematics; Filtration (mathematics); Ring (chemistry); Combinatorics; Epimorphism; Simple (philosophy); Algebraic group; Variety (cybernetics); Algebraic number; Algebra over a field; Mathematical analysis","score_opus":0.06164168188568378,"score_gpt":0.3105410434365968,"score_spread":0.248899361550913,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2604191110","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9667457,0.00045715345,0.011184496,0.00023163388,0.00004936692,0.000024668436,0.00018626582,0.00010609868,0.021014756],"genre_scores_gemma":[0.99473464,0.00017505098,0.001876943,0.000026083027,0.00005761272,0.00001147529,0.00020060393,0.000009525015,0.0029081132],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994742,0.00008851978,0.000030313111,0.00011772505,0.00013458605,0.00015470799],"domain_scores_gemma":[0.9993358,0.0001309669,0.00014015581,0.000056826288,0.00009691751,0.00023925994],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00075025856,0.0003587963,0.0005252966,0.00246356,0.0010768402,0.0023598773,0.00051078224,0.00035612308,0.004570943],"category_scores_gemma":[0.0012379527,0.00024303418,0.0004237494,0.0008922517,0.0022205864,0.0024218063,0.001966027,0.0007025503,0.00034507303],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018362785,0.000048911443,0.007269985,0.000112448855,0.000034762088,0.0007092304,0.0009466155,0.002037084,0.0054135723,0.96622443,0.0007833379,0.016235987],"study_design_scores_gemma":[0.000103450286,0.00042376365,0.02643872,0.000112320566,0.0000907631,0.0025714627,0.0012601016,0.01339998,0.011354155,0.9262195,0.017936088,0.00008974221],"about_ca_topic_score_codex":0.0008217906,"about_ca_topic_score_gemma":0.00045603976,"teacher_disagreement_score":0.004570943,"about_ca_system_score_codex":0.0012674194,"about_ca_system_score_gemma":0.00037363174,"threshold_uncertainty_score":0.015291274},"labels":[],"label_agreement":null},{"id":"W2758844971","doi":"10.1002/mana.201600530","title":"Elliptic subcovers of hyperelliptic curves","year":2017,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Bijection; Equivalence (formal languages); Jacobian matrix and determinant; Jacobian curve; Elliptic curve; Hyperelliptic curve cryptography; Hyperelliptic curve; Pure mathematics; Schoof's algorithm; Hessian form of an elliptic curve; Genus; Supersingular elliptic curve; Set (abstract data type); Algebra over a field; Discrete mathematics; Quarter period; Applied mathematics; Elliptic curve cryptography; Public-key cryptography; Computer science","score_opus":0.06118251489811238,"score_gpt":0.32818313204578836,"score_spread":0.267000617147676,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2758844971","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9767967,0.00027552166,0.00378793,0.00018732673,0.000024903333,0.000017538952,0.00012002192,0.000037031976,0.018752974],"genre_scores_gemma":[0.9954241,0.00022485234,0.0006839182,0.00004290445,0.00006987176,0.00001429489,0.00024794522,0.00001535652,0.0032767565],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987583,0.00016662464,0.00008791586,0.00027417787,0.00040451865,0.00030841204],"domain_scores_gemma":[0.99852693,0.00036951643,0.00036688143,0.0002123351,0.0001915531,0.0003328229],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007116429,0.00050805695,0.00070856075,0.0025464867,0.0014439003,0.0030885215,0.00052615954,0.00047395256,0.0040082596],"category_scores_gemma":[0.001709272,0.00029576983,0.0005110404,0.0011480231,0.0030206766,0.00308724,0.0033457568,0.0011619516,0.00038541638],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005633268,0.00012011215,0.0088651,0.00012027033,0.00005776966,0.0012672617,0.0022408564,0.0019921097,0.012225453,0.9538334,0.00084858865,0.01786587],"study_design_scores_gemma":[0.00009303643,0.00018082306,0.017784808,0.000106849046,0.00006871712,0.0013241018,0.00256145,0.007597701,0.011231978,0.9476943,0.011304608,0.000051703322],"about_ca_topic_score_codex":0.0007731145,"about_ca_topic_score_gemma":0.00034609603,"teacher_disagreement_score":0.0040082596,"about_ca_system_score_codex":0.0011106827,"about_ca_system_score_gemma":0.00021800665,"threshold_uncertainty_score":0.013408959},"labels":[],"label_agreement":null},{"id":"W2768800647","doi":"10.1002/mana.201700466","title":"Local dimensions of random homogeneous self‐similar measures: strong separation and finite type","year":2018,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Iterated function; Dimension (graph theory); Type (biology); Measure (data warehouse); Multifractal system; Iterated function system; Class (philosophy); Homogeneous; Finite set; Function (biology); Homogeneous function; Interval (graph theory); Discrete mathematics; Lyapunov exponent; Pure mathematics; Combinatorics; Fractal; Mathematical analysis; Computer science","score_opus":0.03725436774617122,"score_gpt":0.3128193613035899,"score_spread":0.2755649935574187,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2768800647","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9326457,0.00024405001,0.06400787,0.00014275988,0.000009323382,0.000013899034,0.000030611067,0.000029781522,0.0028760235],"genre_scores_gemma":[0.9972746,0.000049221515,0.0023060695,0.000009071843,0.0000157926,0.000011266245,0.000012495716,0.0000044859867,0.00031688658],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99962795,0.00009854748,0.000023247349,0.00007018298,0.00011934064,0.00006078988],"domain_scores_gemma":[0.99628395,0.0017534638,0.0009849063,0.00027882453,0.00031690046,0.00038200163],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012794994,0.00023098744,0.0004679113,0.0013665948,0.00051096996,0.0011993805,0.0006487166,0.00040171,0.0010642441],"category_scores_gemma":[0.0044942433,0.00022685036,0.00044697252,0.00033880334,0.0019100324,0.0013679458,0.0010780714,0.00064728624,0.00007131353],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011740411,0.000100391466,0.009210855,0.00009403128,0.00008847408,0.00040508434,0.00046592206,0.04204125,0.015544206,0.92658097,0.00038720976,0.004964241],"study_design_scores_gemma":[0.000041380812,0.00015628352,0.016107913,0.000041105213,0.00005340754,0.00064171676,0.0004054978,0.49367207,0.00795781,0.4798011,0.0010607347,0.000061105755],"about_ca_topic_score_codex":0.00034608197,"about_ca_topic_score_gemma":0.00022812549,"teacher_disagreement_score":0.0013665948,"about_ca_system_score_codex":0.00090534904,"about_ca_system_score_gemma":0.00021888391,"threshold_uncertainty_score":0.0067667365},"labels":[],"label_agreement":null},{"id":"W2801282202","doi":"10.1002/mana.202000125","title":"Pushforwards of Chow groups of smooth ample divisors, with an emphasis on Jacobian varieties","year":2022,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Divisor (algebraic geometry); Morphism; Pure mathematics; Jacobian matrix and determinant; Conjecture; Embedding; Projective variety; Variety (cybernetics); Algebra over a field","score_opus":0.0306493436696173,"score_gpt":0.2737840506539444,"score_spread":0.2431347069843271,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2801282202","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93546253,0.0005327149,0.031513724,0.0005926544,0.00014982958,0.000046745266,0.000078831996,0.00014619667,0.03147667],"genre_scores_gemma":[0.9895761,0.0002982666,0.0033154879,0.000060307237,0.00013901618,0.000026780577,0.00006657867,0.000035009227,0.0064825136],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99913174,0.00014709971,0.000045220393,0.00017024302,0.0002813348,0.00022434328],"domain_scores_gemma":[0.99865377,0.00041470877,0.00024692176,0.00016287662,0.00014477679,0.0003769192],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012191974,0.0009285233,0.00073773577,0.0037586836,0.0018747975,0.0031059508,0.0007593225,0.000881791,0.0041877646],"category_scores_gemma":[0.002851109,0.00046277334,0.0009825279,0.00092309486,0.005123775,0.004662046,0.0062728827,0.0022476483,0.0004693913],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005699442,0.00006807913,0.0016471938,0.000049191432,0.000025731939,0.0006443885,0.0021023834,0.0009825361,0.004309012,0.984338,0.00027613703,0.0055003413],"study_design_scores_gemma":[0.000070424634,0.00019069968,0.0038982243,0.00005408312,0.00004880889,0.0007770713,0.001061237,0.00621617,0.006658926,0.97502667,0.0059556914,0.000041852025],"about_ca_topic_score_codex":0.0008412884,"about_ca_topic_score_gemma":0.00048935076,"teacher_disagreement_score":0.0041877646,"about_ca_system_score_codex":0.0014998664,"about_ca_system_score_gemma":0.000528252,"threshold_uncertainty_score":0.014009476},"labels":[],"label_agreement":null},{"id":"W2817097260","doi":"10.1002/mana.201600528","title":"Optimizers for the singular Trudinger–Moser inequalities in the critical case in","year":2018,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of British Columbia","funders":"","keywords":"Mathematics; Inequality; Pure mathematics; Mathematical analysis","score_opus":0.17655858607485572,"score_gpt":0.417809937597882,"score_spread":0.24125135152302626,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2817097260","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37818468,0.00548536,0.52825046,0.0049343645,0.00048259358,0.00013683697,0.0004573743,0.00022467291,0.08184363],"genre_scores_gemma":[0.9534953,0.0016859885,0.032332566,0.0004035353,0.000340543,0.0001495442,0.00023507541,0.000095550866,0.0112618385],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99930656,0.00023986268,0.00003502503,0.00012914633,0.0001265021,0.00016289808],"domain_scores_gemma":[0.9977483,0.0010163287,0.00043136458,0.00009174171,0.0003248174,0.0003874261],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028216105,0.0014551509,0.00132212,0.0021161162,0.0010594563,0.0023442595,0.0013239173,0.0015965521,0.0049206796],"category_scores_gemma":[0.0076869526,0.00034520152,0.0008769973,0.0006594298,0.002307403,0.0026452849,0.002198399,0.0023803478,0.0004314213],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007064711,0.00002850136,0.00040994526,0.00013270344,0.00004255796,0.00012920628,0.00009754815,0.0178349,0.0028144016,0.97237396,0.0014026954,0.004662905],"study_design_scores_gemma":[0.000032751945,0.00012104759,0.0012422758,0.00015893434,0.000049060076,0.00017948425,0.00024851866,0.4237876,0.002725854,0.5680247,0.0033645967,0.00006518014],"about_ca_topic_score_codex":0.0016069172,"about_ca_topic_score_gemma":0.0010930763,"teacher_disagreement_score":0.0049206796,"about_ca_system_score_codex":0.0019660813,"about_ca_system_score_gemma":0.0009663233,"threshold_uncertainty_score":0.016461372},"labels":[],"label_agreement":null},{"id":"W2909621101","doi":"10.1002/mana.201700362","title":"Twisted Orlicz algebras, II","year":2018,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada; Türkiye Bilimsel ve Teknolojik Araştırma Kurumu","keywords":"Mathematics; Pure mathematics; Polynomial; Convolution (computer science); Bounded function; Banach algebra; Locally compact space; Locally compact group; Variety (cybernetics); Group (periodic table); Algebraic number; Discrete group; Algebraic variety; Identity (music); Algebra over a field; Space (punctuation); Dual (grammatical number); Discrete mathematics; Banach space; Mathematical analysis","score_opus":0.06597289537582672,"score_gpt":0.3749041338164543,"score_spread":0.3089312384406276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2909621101","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.85711837,0.0007078783,0.08248777,0.00054006727,0.00015648236,0.00005102131,0.0001689683,0.00014003477,0.058629453],"genre_scores_gemma":[0.9901792,0.00011483561,0.004325918,0.00005319638,0.000066440334,0.000017981547,0.000056709345,0.000012341764,0.0051734513],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99963665,0.00008694622,0.000021492639,0.00007052692,0.000095400435,0.00008902107],"domain_scores_gemma":[0.9996269,0.000042197236,0.000096384494,0.000059467024,0.000061509025,0.00011356848],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040820224,0.00022166607,0.00027486056,0.0007110223,0.0006486245,0.0015113911,0.00030370423,0.0002700334,0.0035552836],"category_scores_gemma":[0.00075119676,0.00009518645,0.00033553434,0.00052020676,0.0013663593,0.0019400351,0.0012556064,0.00064887054,0.00032625315],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029850335,0.000008202269,0.00044714633,0.000014997271,0.000004885338,0.00012929276,0.00021590336,0.0007530455,0.003349976,0.99228984,0.0001806195,0.0025762038],"study_design_scores_gemma":[0.000013511741,0.0000638254,0.0010357619,0.000013703502,0.000011051039,0.00045727397,0.00037332863,0.009896939,0.0036244346,0.9782593,0.006235605,0.000015271711],"about_ca_topic_score_codex":0.00044885845,"about_ca_topic_score_gemma":0.000249889,"teacher_disagreement_score":0.0035552836,"about_ca_system_score_codex":0.0006149711,"about_ca_system_score_gemma":0.00026351857,"threshold_uncertainty_score":0.01189363},"labels":[],"label_agreement":null},{"id":"W2962712693","doi":"10.1002/mana.201600453","title":"Decomposition of integral self‐affine multi‐tiles","year":2019,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"Ministry of Education, India; Central China Normal University; Ministry of Earth Sciences; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Affine transformation; Disjoint sets; Tile; Pure mathematics; Discrete mathematics; Combinatorics","score_opus":0.025942200835934365,"score_gpt":0.33060625835633,"score_spread":0.30466405752039566,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962712693","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.50273895,0.00024403301,0.47940576,0.00007902716,0.00009401046,0.00006803471,0.000084274616,0.00022050604,0.017065343],"genre_scores_gemma":[0.9011464,0.0001355883,0.088820286,0.00004024107,0.00004396102,0.00006329819,0.00020292505,0.00009695282,0.009450243],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996358,0.000041509342,0.000036523936,0.000070461916,0.0001400736,0.00007573596],"domain_scores_gemma":[0.9994873,0.00005272686,0.000076157805,0.00015408335,0.00013675498,0.00009293952],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003752722,0.00027894086,0.00042566683,0.0007594129,0.0004902063,0.000990623,0.00044047902,0.0002272006,0.0023265048],"category_scores_gemma":[0.0008201009,0.00025923905,0.00061863556,0.000274951,0.00092093775,0.00079520163,0.0014208981,0.0006175649,0.0004349198],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024233767,0.00011327655,0.002276884,0.0002093419,0.00006479249,0.0006568156,0.0010241957,0.04973997,0.20466469,0.69726264,0.0011039347,0.04264107],"study_design_scores_gemma":[0.000057751946,0.00053858774,0.005576058,0.00010722461,0.0000950154,0.0013041247,0.0009467417,0.42193487,0.14513883,0.3996506,0.024570523,0.00007970513],"about_ca_topic_score_codex":0.00024351664,"about_ca_topic_score_gemma":0.0002680585,"teacher_disagreement_score":0.0023265048,"about_ca_system_score_codex":0.00031142653,"about_ca_system_score_gemma":0.00022363459,"threshold_uncertainty_score":0.0077829957},"labels":[],"label_agreement":null},{"id":"W3039184090","doi":"10.1002/mana.201900252","title":"Integral kernels on complex symmetric spaces and for the Dyson Brownian Motion","year":2022,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Laurentian University","funders":"Laurentian University","keywords":"Mathematics; Poisson kernel; Heat kernel; Brownian motion; Invariant (physics); Mathematical analysis; Fourier transform; Kernel (algebra); Simple (philosophy); Symmetric space; Pure mathematics; Mathematical physics","score_opus":0.10619696878527995,"score_gpt":0.34346157521016135,"score_spread":0.2372646064248814,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3039184090","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6296448,0.0011752518,0.3361941,0.0011507247,0.00020469964,0.000037807426,0.00007752758,0.00015881976,0.031356364],"genre_scores_gemma":[0.9750933,0.0005681138,0.014499038,0.00009448025,0.00013471756,0.000031878557,0.000044565088,0.000063315594,0.009470537],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999729,0.000080047284,0.000014884774,0.00003076585,0.000097021766,0.00004824185],"domain_scores_gemma":[0.9992706,0.0002073026,0.00014285507,0.00006948106,0.00018244055,0.00012724166],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00080356275,0.00050965854,0.00032088693,0.0012620155,0.00043619465,0.0014566871,0.000490914,0.00057271984,0.0027829409],"category_scores_gemma":[0.0023497806,0.00014911122,0.00049134117,0.00046403587,0.0017158386,0.002314078,0.0009869048,0.0008282464,0.00038513562],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000845568,0.000012603541,0.0001655762,0.000014266247,0.000004662403,0.000072505274,0.0000985034,0.0036214802,0.0018543028,0.991981,0.00021527168,0.0019513229],"study_design_scores_gemma":[0.000010486798,0.0000337842,0.0011110099,0.000019904886,0.000009263812,0.00031853377,0.00017686519,0.21495219,0.0017604347,0.77954435,0.0020351883,0.000027886628],"about_ca_topic_score_codex":0.0011002818,"about_ca_topic_score_gemma":0.0005543174,"teacher_disagreement_score":0.0027829409,"about_ca_system_score_codex":0.00063968234,"about_ca_system_score_gemma":0.00048239864,"threshold_uncertainty_score":0.009309888},"labels":[],"label_agreement":null},{"id":"W3161239138","doi":"10.1002/mana.202100658","title":"Tempered distributions with translation bounded measure as Fourier transform and the generalized Eberlein decomposition","year":2023,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"MacEwan University","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Fourier transform; Bounded function; Measure (data warehouse); Translation (biology); Class (philosophy); Decomposition; Mathematical analysis; Computer science","score_opus":0.03356716069385525,"score_gpt":0.31072082566329134,"score_spread":0.2771536649694361,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3161239138","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5951707,0.0012898119,0.3794128,0.0007974998,0.000107722044,0.000028939567,0.00010534093,0.00014986192,0.022937361],"genre_scores_gemma":[0.9806223,0.0003046374,0.015223267,0.00009506473,0.00011584243,0.000016749414,0.000042383483,0.000041283307,0.0035384032],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996525,0.00008054493,0.000014025981,0.000058376416,0.00011875671,0.00007570805],"domain_scores_gemma":[0.99887866,0.0004658452,0.00022081427,0.00010558432,0.0001781772,0.00015102002],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007941074,0.0003476849,0.0003954219,0.0012291787,0.00050779217,0.0012384446,0.00037320598,0.0005225325,0.002539049],"category_scores_gemma":[0.0030551795,0.00017165123,0.00040061853,0.000564261,0.0018685937,0.0018960409,0.0007776379,0.0009539616,0.00022301349],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046060024,0.000016435382,0.000691706,0.00002671514,0.000012982079,0.00021685407,0.00018604635,0.011191012,0.006698375,0.9743575,0.0005419798,0.006014442],"study_design_scores_gemma":[0.00002276089,0.000057039717,0.0030145461,0.000028472556,0.000010936469,0.0005261788,0.00016810998,0.22176087,0.0033253494,0.76759076,0.003462905,0.000032164495],"about_ca_topic_score_codex":0.0007081233,"about_ca_topic_score_gemma":0.00037071193,"teacher_disagreement_score":0.002539049,"about_ca_system_score_codex":0.00074036943,"about_ca_system_score_gemma":0.00027611526,"threshold_uncertainty_score":0.00849396},"labels":[],"label_agreement":null},{"id":"W3167467372","doi":"10.1002/mana.201800567","title":"Inversion formula and range conditions for a linear system related with the multi‐interval finite Hilbert transform in <i>L</i><sup>2</sup>","year":2021,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hilbert matrix; Uniqueness; Inversion (geology); Hilbert transform; Injective function; Matrix (chemical analysis); Matrix function; Pure mathematics; Disjoint sets; Mathematical analysis; Symmetric matrix; Hilbert space; Eigenvalues and eigenvectors; Quantum mechanics","score_opus":0.032465100850210496,"score_gpt":0.2781887562297757,"score_spread":0.2457236553795652,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3167467372","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3130739,0.00048595679,0.6524996,0.0018500661,0.00012574486,0.0000880098,0.00013288234,0.0001418988,0.031601902],"genre_scores_gemma":[0.9581757,0.00019596335,0.036652137,0.0001877119,0.000115418974,0.00008658723,0.00009543762,0.000047922094,0.0044430727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993593,0.00017509081,0.000030907544,0.00009448262,0.00022843882,0.00011173073],"domain_scores_gemma":[0.99827135,0.0010122705,0.0002561398,0.000066544744,0.00028012056,0.000113580194],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014668041,0.0003633858,0.0004680286,0.00079241034,0.00047447375,0.0014875139,0.0007110254,0.0010765038,0.005341488],"category_scores_gemma":[0.0052964054,0.00026201663,0.00047678145,0.00031671036,0.0020648856,0.0022104627,0.0014845196,0.0015918352,0.00036450406],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000658974,0.000052560343,0.0007182102,0.00008014877,0.000017656423,0.0004989655,0.00036040662,0.01682388,0.00976384,0.9618203,0.0008703631,0.008927835],"study_design_scores_gemma":[0.000057996516,0.00009930976,0.00062030315,0.000039841758,0.000011600519,0.0005039966,0.00035218088,0.4478202,0.0063252216,0.5424907,0.0016274782,0.000051178184],"about_ca_topic_score_codex":0.00071547925,"about_ca_topic_score_gemma":0.00039279388,"teacher_disagreement_score":0.005341488,"about_ca_system_score_codex":0.00054510304,"about_ca_system_score_gemma":0.0006127669,"threshold_uncertainty_score":0.017869115},"labels":[],"label_agreement":null},{"id":"W4200485046","doi":"10.1002/mana.201900312","title":"Some Hardy identities on half‐spaces","year":2021,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Hardy space; Remainder; Inequality; Type (biology); Pure mathematics; Space (punctuation); Algebra over a field; Mathematical analysis; Arithmetic; Linguistics","score_opus":0.05268660175279437,"score_gpt":0.32615039091217835,"score_spread":0.27346378915938396,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4200485046","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.317156,0.0022839967,0.46453905,0.0056434814,0.0008732059,0.000106425134,0.00049586984,0.0001474166,0.20875451],"genre_scores_gemma":[0.9436785,0.0010492096,0.024908904,0.0009031531,0.0004903652,0.00010168527,0.00024113416,0.00009183547,0.028535346],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99876595,0.0003745245,0.00007803032,0.00016095782,0.0004252489,0.00019532965],"domain_scores_gemma":[0.99816245,0.0007046191,0.00015580437,0.00015895918,0.00057211256,0.00024612664],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025937993,0.0006624635,0.0005314337,0.0015019673,0.0009876498,0.0022890018,0.0011370719,0.0009240171,0.01003938],"category_scores_gemma":[0.0046263463,0.00034127795,0.0008976386,0.00054894784,0.0023457678,0.0035578366,0.0027616695,0.0025703094,0.0008346357],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015269557,0.000015299205,0.00013413248,0.000028143919,0.000008516305,0.00007736977,0.00013305667,0.0013204728,0.0014045294,0.99288696,0.00082999945,0.0031462724],"study_design_scores_gemma":[0.000009453271,0.00003181792,0.00059762725,0.000029917031,0.000009430651,0.00010429034,0.0001379929,0.025425673,0.001863791,0.96837336,0.003400827,0.000015802892],"about_ca_topic_score_codex":0.0014866607,"about_ca_topic_score_gemma":0.00072479126,"teacher_disagreement_score":0.01003938,"about_ca_system_score_codex":0.0014785053,"about_ca_system_score_gemma":0.00062218186,"threshold_uncertainty_score":0.03358513},"labels":[],"label_agreement":null},{"id":"W4205641970","doi":"10.1002/mana.201900360","title":"Periodicity on isolated time scales","year":2022,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Uniqueness; Quantum; Calculus (dental); Time-scale calculus; Scale (ratio); Applied mathematics; Pure mathematics; Algebra over a field; Mathematical analysis; Quantum mechanics; Multivariable calculus","score_opus":0.006057888943539753,"score_gpt":0.21248334947559508,"score_spread":0.20642546053205532,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4205641970","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38380083,0.0018780973,0.5415572,0.0011616469,0.00063948764,0.000074390206,0.00014635574,0.00022568191,0.070516266],"genre_scores_gemma":[0.96213174,0.00036845918,0.030457702,0.00019740338,0.00033601647,0.00006574145,0.000044143708,0.00008603396,0.006312654],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994879,0.00010733066,0.000029850247,0.00014771399,0.00013675011,0.00009036252],"domain_scores_gemma":[0.9989794,0.00031041028,0.00020890206,0.0001783834,0.00021584392,0.00010717482],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00078414043,0.00037037052,0.0005227238,0.0008347219,0.0006880295,0.0013337617,0.0006799433,0.0006228013,0.0031041515],"category_scores_gemma":[0.0016846154,0.0002146848,0.00047126645,0.00032769705,0.002614894,0.002327913,0.0012626114,0.0014518297,0.00033408267],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016156799,0.000010241348,0.00030225626,0.0000392121,0.0000092472055,0.00014566103,0.00017313074,0.0022930498,0.006171042,0.98706985,0.00048664448,0.0032835398],"study_design_scores_gemma":[0.000016007847,0.00007171941,0.0022041113,0.000050736828,0.000017742846,0.00044885467,0.00028925564,0.06363941,0.0040074675,0.91845214,0.010769754,0.000032790696],"about_ca_topic_score_codex":0.00026278745,"about_ca_topic_score_gemma":0.00016933728,"teacher_disagreement_score":0.0031041515,"about_ca_system_score_codex":0.0005687496,"about_ca_system_score_gemma":0.00035063524,"threshold_uncertainty_score":0.01038444},"labels":[],"label_agreement":null},{"id":"W4241455532","doi":"10.1002/mana.200310313","title":"Spectral problems for operator matrices","year":2005,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":51,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Holomorphic function; Eigenvalues and eigenvectors; Pure mathematics; Operator (biology); Banach space; Block (permutation group theory); Spectrum (functional analysis); Boundary (topology); Unbounded operator; Differential operator; Boundary value problem; Mathematical analysis; Finite-rank operator; Combinatorics","score_opus":0.019668956053141527,"score_gpt":0.2597206238230234,"score_spread":0.24005166776988188,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4241455532","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5797989,0.00089729717,0.3996524,0.00083704444,0.00012858491,0.00007084615,0.00011146791,0.000099827266,0.018403597],"genre_scores_gemma":[0.9788012,0.00029859616,0.015004447,0.000077534896,0.00009667087,0.000060372844,0.00007968653,0.00003060165,0.005551042],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995633,0.0001861079,0.000020446496,0.00005612005,0.00011148996,0.000062408646],"domain_scores_gemma":[0.99808073,0.0012565083,0.00024556066,0.00006252103,0.00020795774,0.00014664441],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00090757565,0.00042910376,0.00039348626,0.0006362752,0.00047880269,0.0011723818,0.00029548092,0.00090410514,0.0033097349],"category_scores_gemma":[0.0032979837,0.00022687585,0.0003210225,0.00032234553,0.0015173871,0.0015680798,0.0009221679,0.0005643072,0.00025714567],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008219112,0.000031108262,0.00055536104,0.000087578395,0.000013842504,0.00023261084,0.00033750333,0.03532575,0.009776639,0.9476658,0.00074689,0.0051447656],"study_design_scores_gemma":[0.000030109733,0.000046365818,0.00039839855,0.000013692711,0.0000037885884,0.00018519357,0.00017660024,0.30452082,0.0016335266,0.6916287,0.0013493231,0.000013618844],"about_ca_topic_score_codex":0.0005901913,"about_ca_topic_score_gemma":0.000269897,"teacher_disagreement_score":0.0033097349,"about_ca_system_score_codex":0.00047618034,"about_ca_system_score_gemma":0.0003507429,"threshold_uncertainty_score":0.011072159},"labels":[],"label_agreement":null},{"id":"W4300860969","doi":"10.1002/mana.202000097","title":"On admissible singular drifts of symmetric α‐stable process","year":2022,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Operator (biology); Heat kernel; Bounded function; Pure mathematics; Connection (principal bundle); Semigroup; Laplace operator; Generator (circuit theory); Class (philosophy); Kernel (algebra); Realization (probability); Mathematical analysis","score_opus":0.015656741044102078,"score_gpt":0.2563717729257825,"score_spread":0.24071503188168042,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4300860969","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6805149,0.00058458763,0.30808583,0.0011288062,0.00015287216,0.00009502345,0.00009379333,0.00009825764,0.009246081],"genre_scores_gemma":[0.9887384,0.00017101371,0.0073915734,0.00005842391,0.00005288621,0.00004210284,0.00003959004,0.000013343625,0.003492678],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995553,0.00012753878,0.000030422381,0.00010721124,0.00010366041,0.000075859316],"domain_scores_gemma":[0.9990069,0.00037779936,0.00019174555,0.00004050728,0.00015638238,0.00022670263],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001424304,0.0005986126,0.0009027519,0.0009896006,0.00089763093,0.0017457521,0.0006841626,0.0014502648,0.0015625383],"category_scores_gemma":[0.0035229246,0.00029192393,0.0007774593,0.0003658175,0.0024515593,0.0015618177,0.0014315173,0.0008523156,0.00012315172],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019520498,0.00007382449,0.0019988741,0.00014954757,0.000058912094,0.00097068,0.0004883293,0.092759684,0.016393337,0.8823536,0.0005348823,0.0040231],"study_design_scores_gemma":[0.000041118616,0.000102924314,0.0006552996,0.00003291306,0.000014025091,0.00021048746,0.00024341587,0.7022921,0.0025924088,0.2930692,0.0007132177,0.000032824573],"about_ca_topic_score_codex":0.0014166274,"about_ca_topic_score_gemma":0.00045318893,"teacher_disagreement_score":0.0017457521,"about_ca_system_score_codex":0.0012623065,"about_ca_system_score_gemma":0.00084448827,"threshold_uncertainty_score":0.0091587305},"labels":[],"label_agreement":null},{"id":"W4368516201","doi":"10.1002/mana.202400061","title":"On the descent for quadratic and bilinear forms","year":2024,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Descent (aeronautics); Bilinear interpolation; Quadratic equation; Mathematics; Pure mathematics; Engineering; Geometry; Statistics","score_opus":0.0445820485532955,"score_gpt":0.3085824122158938,"score_spread":0.26400036366259827,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4368516201","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8296236,0.0010631202,0.082507044,0.004967164,0.00038683385,0.000044929777,0.00035031917,0.0001297187,0.080927305],"genre_scores_gemma":[0.9837414,0.00020607607,0.007479631,0.0003558621,0.00030647084,0.00003084211,0.00031600453,0.000033151293,0.0075307284],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99823344,0.0008366438,0.00009072718,0.00023518302,0.00029816525,0.00030580972],"domain_scores_gemma":[0.99645954,0.0016407708,0.00035742618,0.00034067372,0.00071022986,0.0004913186],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028282055,0.00035033422,0.0006823111,0.0013659755,0.001706053,0.001689548,0.00064300507,0.0011352933,0.005073394],"category_scores_gemma":[0.0063645747,0.00026398778,0.0006791729,0.0005526672,0.0036070084,0.0041408367,0.002755495,0.0020235714,0.000687157],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011902282,0.000047061352,0.0018875696,0.000040876694,0.0000055734804,0.00019468922,0.0003660353,0.0013994629,0.00161334,0.9884171,0.0014095696,0.0044998024],"study_design_scores_gemma":[0.000020092773,0.00007383775,0.0012963279,0.00002634426,0.0000038809567,0.00023285132,0.0003098072,0.009121507,0.0008246715,0.98443353,0.0036415232,0.000015671836],"about_ca_topic_score_codex":0.0007177195,"about_ca_topic_score_gemma":0.00048589954,"teacher_disagreement_score":0.005073394,"about_ca_system_score_codex":0.0010232213,"about_ca_system_score_gemma":0.0005311797,"threshold_uncertainty_score":0.016972184},"labels":[],"label_agreement":null},{"id":"W4383820584","doi":"10.1002/mana.202200214","title":"Envelopes and classifying spaces","year":2023,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Homomorphism; Torus; Constraint (computer-aided design); Algebraic number; Pure mathematics; Image (mathematics); Group (periodic table); Spin (aerodynamics); Reductive group; Algebra over a field; Discrete mathematics; Group theory; Mathematical analysis; Geometry; Artificial intelligence","score_opus":0.07413842065814802,"score_gpt":0.3267858959539584,"score_spread":0.2526474752958104,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4383820584","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.88571656,0.00054421346,0.026004082,0.0012295389,0.00018070784,0.000046464836,0.00024533062,0.00017692016,0.08585618],"genre_scores_gemma":[0.9927568,0.00017540809,0.0020188096,0.000076875396,0.00012703484,0.00002790572,0.00017799561,0.000022644283,0.0046165907],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990139,0.00020836388,0.00006648661,0.00018185732,0.0002953565,0.00023403244],"domain_scores_gemma":[0.9988475,0.00028502228,0.00026350803,0.00015415192,0.00015621434,0.00029358343],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00084379537,0.0002899692,0.00038707387,0.0017429107,0.0013316871,0.0029293073,0.0003680996,0.00066834874,0.0048773983],"category_scores_gemma":[0.0023552622,0.00021401873,0.00033507243,0.0008253759,0.0028749027,0.0038182104,0.0030516044,0.0010709756,0.00051474315],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014794764,0.000013778261,0.00064738694,0.000010233589,0.0000031530287,0.000059503556,0.00027143946,0.00023679118,0.00043603725,0.99384177,0.00032619614,0.004138961],"study_design_scores_gemma":[0.000018568222,0.000034800614,0.0025621434,0.000021081525,0.0000072887356,0.0003104183,0.0005789638,0.0033816034,0.0011183999,0.9811927,0.010759866,0.000014100452],"about_ca_topic_score_codex":0.00050508376,"about_ca_topic_score_gemma":0.00024518216,"teacher_disagreement_score":0.0048773983,"about_ca_system_score_codex":0.0010462542,"about_ca_system_score_gemma":0.00033912604,"threshold_uncertainty_score":0.016316473},"labels":[],"label_agreement":null},{"id":"W4388302368","doi":"10.1002/mana.202300185","title":"On singular limits of finite Hilbert transform operators on multi‐intervals","year":2023,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Mathematical analysis; Eigenfunction; Operator (biology); Method of steepest descent; Pure mathematics; Eigenvalues and eigenvectors","score_opus":0.07943922824333961,"score_gpt":0.33313363352004693,"score_spread":0.25369440527670734,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388302368","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70499533,0.00061296334,0.28256983,0.0004553595,0.00008186358,0.000035700272,0.00003378735,0.00019375364,0.011021467],"genre_scores_gemma":[0.9852207,0.00016955374,0.011728443,0.000054609958,0.00006179326,0.000031885804,0.00003656775,0.000049395356,0.0026470725],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992606,0.0002142251,0.000029191973,0.00009931487,0.00028942092,0.00010715624],"domain_scores_gemma":[0.9955869,0.0020709361,0.0007508675,0.00022043381,0.00069881027,0.0006720101],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021243042,0.0005591164,0.00077502534,0.0018016641,0.0006602093,0.0014475507,0.0012220319,0.0007579644,0.0018820695],"category_scores_gemma":[0.009914957,0.0003382934,0.0006796074,0.0005553521,0.0037048566,0.0024310087,0.0019701791,0.001739746,0.00017691897],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025445168,0.00016805499,0.0029154522,0.00016920031,0.0000786268,0.0013466529,0.0008622787,0.060363814,0.022916771,0.9016844,0.0005785221,0.008661891],"study_design_scores_gemma":[0.00003237545,0.0001080367,0.0017835605,0.00004846819,0.000018298779,0.0004142175,0.0002985374,0.7942461,0.0042802677,0.19788165,0.00085167546,0.000036875048],"about_ca_topic_score_codex":0.0012041739,"about_ca_topic_score_gemma":0.00045263264,"teacher_disagreement_score":0.0021243042,"about_ca_system_score_codex":0.0010681333,"about_ca_system_score_gemma":0.00053837727,"threshold_uncertainty_score":0.0112345815},"labels":[],"label_agreement":null},{"id":"W4404763303","doi":"10.1002/mana.202400098","title":"Laplacian with singular drift in a critical borderline case","year":2024,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Laplace operator; Mathematical analysis","score_opus":0.04642568513041377,"score_gpt":0.3786207792437255,"score_spread":0.3321950941133117,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404763303","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.890656,0.0007939896,0.07091441,0.003840715,0.00036703763,0.000061158324,0.00010379044,0.00021121194,0.033051696],"genre_scores_gemma":[0.99434507,0.00015376088,0.0029133854,0.00008862174,0.000107102205,0.000017254422,0.000026579448,0.000017194465,0.002331145],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997391,0.00006481174,0.000014028908,0.00004386127,0.00006627283,0.00007182633],"domain_scores_gemma":[0.99920017,0.00017045581,0.00014550035,0.000043040844,0.0001338251,0.00030694893],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008023572,0.0004940324,0.00083137094,0.0015319524,0.0014087699,0.0020640916,0.0005314575,0.0011833603,0.0027812263],"category_scores_gemma":[0.0029522101,0.0002236894,0.00052139367,0.00035926283,0.00292794,0.002004532,0.002289149,0.001259546,0.00025493617],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030238705,0.00007281012,0.0023201331,0.00010296958,0.00003299496,0.004171362,0.00057884824,0.024918409,0.0149887735,0.9469788,0.00249141,0.0030411663],"study_design_scores_gemma":[0.000116783136,0.00021506353,0.0025002027,0.00006217733,0.000029951914,0.0023692425,0.0009485067,0.2595688,0.0035407348,0.72724783,0.0033432615,0.000057316778],"about_ca_topic_score_codex":0.00092373573,"about_ca_topic_score_gemma":0.0003718026,"teacher_disagreement_score":0.0027812263,"about_ca_system_score_codex":0.0009094822,"about_ca_system_score_gemma":0.0005659363,"threshold_uncertainty_score":0.009304106},"labels":[],"label_agreement":null},{"id":"W4406279651","doi":"10.1002/mana.202400021","title":"Normal forms and Tyurin degenerations of K3 surfaces polarized by a rank 18 lattice","year":2025,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Lattice (music); Rank (graph theory); Pure mathematics; Combinatorics; Physics","score_opus":0.019391808265900326,"score_gpt":0.2847433838911054,"score_spread":0.26535157562520506,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406279651","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97044903,0.00012403626,0.007908156,0.00014775383,0.00003425739,0.000017873994,0.000048600035,0.00006645581,0.021203872],"genre_scores_gemma":[0.99409086,0.00007365815,0.0015679355,0.000018526796,0.000015649377,0.000007805025,0.00003984024,0.000020039028,0.0041656327],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99971133,0.000054373257,0.000013969669,0.000037278463,0.000095778516,0.00008722763],"domain_scores_gemma":[0.9996666,0.000051891,0.00007303247,0.00004006813,0.00004847907,0.000119895914],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032518987,0.00052518374,0.00036681697,0.0014646588,0.0014162497,0.002203803,0.00036427288,0.0007083991,0.004227069],"category_scores_gemma":[0.0008283573,0.0002606239,0.00048303665,0.00058020203,0.002221178,0.0016488715,0.0015319977,0.0010098562,0.00045963397],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023348117,0.00006641362,0.0053073624,0.000056722347,0.000032239564,0.0017836015,0.0018240806,0.008640918,0.017513119,0.95620495,0.0008324135,0.0075047472],"study_design_scores_gemma":[0.000110251975,0.00028228838,0.010115848,0.00009154184,0.00003752877,0.0034495958,0.0029221473,0.051708855,0.017846173,0.89892507,0.014418951,0.000091675334],"about_ca_topic_score_codex":0.0008333228,"about_ca_topic_score_gemma":0.00046637945,"teacher_disagreement_score":0.004227069,"about_ca_system_score_codex":0.0012476452,"about_ca_system_score_gemma":0.00030253464,"threshold_uncertainty_score":0.014140964},"labels":[],"label_agreement":null},{"id":"W4408307319","doi":"10.1002/mana.202300246","title":"Nonstandard representation of the Dirichlet form and application to the comparison theorem","year":2025,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Markov Chains and Monte Carlo Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Dirichlet distribution; Representation (politics); Pure mathematics; Applied mathematics; Mathematical analysis; Law","score_opus":0.03238748261858692,"score_gpt":0.37672331028033473,"score_spread":0.3443358276617478,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408307319","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15014541,0.0006890051,0.8182635,0.0012506779,0.0004160375,0.000059908594,0.000089341724,0.00015630112,0.028929792],"genre_scores_gemma":[0.92078567,0.00036712116,0.06982408,0.00027580516,0.00033698056,0.00008458003,0.000056191984,0.00011268817,0.008156953],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983352,0.0008369421,0.00007029766,0.00021108365,0.0004182359,0.00012822519],"domain_scores_gemma":[0.99568874,0.0028069478,0.00041840912,0.00028142906,0.00051338604,0.00029114453],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003953869,0.00037437372,0.0006810715,0.001878125,0.0007836893,0.0017950953,0.0013418939,0.0009118805,0.0065104445],"category_scores_gemma":[0.010243166,0.00021351589,0.00083092105,0.0009456358,0.003160527,0.002902777,0.0022568002,0.0018171014,0.00031344726],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010316689,0.0000097436705,0.00008830802,0.000011146239,0.000004074386,0.000029122395,0.000038840542,0.0037495764,0.0004556376,0.9934916,0.00013813192,0.0019734635],"study_design_scores_gemma":[0.000007912318,0.000030005678,0.00014852337,0.000010046733,0.0000034084826,0.000062485335,0.000030365862,0.13606922,0.0006920686,0.86171335,0.0012204886,0.00001214496],"about_ca_topic_score_codex":0.00078404107,"about_ca_topic_score_gemma":0.00044205855,"teacher_disagreement_score":0.0065104445,"about_ca_system_score_codex":0.0014847408,"about_ca_system_score_gemma":0.00080550427,"threshold_uncertainty_score":0.021779597},"labels":[],"label_agreement":null}]}