{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":13,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":13,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"b53e0ffb747a","filters":{"venue":"Journal of the Mathematical Society of Japan"}},"results":[{"id":"W2135384492","doi":"10.2969/jmsj/06441091","title":"On the equivalence of parabolic Harnack inequalities and heat kernel estimates","year":2012,"lang":"en","type":"article","venue":"Journal of the Mathematical Society of Japan","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":102,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Harnack's inequality; Mathematics; Harnack's principle; Heat kernel; Equivalence (formal languages); Dirichlet form; Metric (unit); Kernel (algebra); Dirichlet distribution; Mathematical analysis; Metric space; Pure mathematics","authors":[{"name":"Martin T. Barlow","is_ca":true},{"name":"Alexander Grigorʼyan","is_ca":false},{"name":"Takashi Kumagai","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06173481247945846,"gpt":0.3083678151850118,"spread":0.2466330027055533,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005053708,0.001357377,0.001515607,0.003227593,0.001773577,0.003008008,0.00234494,0.002097433,0.007878823],"category_scores_gemma":[0.01768846,0.0005113093,0.002022568,0.00186937,0.004980071,0.009739433,0.007378754,0.007327741,0.0008543257],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002208872,"about_ca_system_score_gemma":0.001182363,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002880098,"about_ca_topic_score_gemma":0.001200986,"domain_scores_codex":[0.998174,0.0005477864,0.0001004375,0.000370421,0.000438923,0.0003685002],"domain_scores_gemma":[0.9903757,0.005177121,0.0008393793,0.0005899045,0.001835494,0.001182368],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004738311,0.00003518874,0.000546924,0.000118211,0.00002977861,0.0001948855,0.0003277248,0.001883202,0.002261594,0.9884291,0.001281855,0.004844115],"study_design_scores_gemma":[0.00001803188,0.00007349823,0.001392707,0.000044917,0.00003683327,0.0002123341,0.00023312,0.04226311,0.001256481,0.9515036,0.002924748,0.00004057862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2026383,0.004838647,0.6700758,0.01266975,0.00129901,0.0001563044,0.0007516657,0.0003264668,0.1072442],"genre_scores_gemma":[0.9330913,0.003306523,0.03993805,0.002403677,0.0015072,0.0002245232,0.0004392779,0.0002434802,0.01884596],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007878823,"threshold_uncertainty_score":0.0267269,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2069359224","doi":"10.2969/jmsj/1149166785","title":"Stability of parabolic Harnack inequalities on metric measure spaces","year":2006,"lang":"en","type":"article","venue":"Journal of the Mathematical Society of Japan","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":59,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Ministry of Education, Culture, Sports, Science and Technology; National Science Foundation","keywords":"Harnack's inequality; Harnack's principle; Measure (data warehouse); Metric (unit); Dirichlet form; Divergence (linguistics); Stability (learning theory); Poincaré inequality; Elliptic operator; Exponent","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.05058455057789514,"gpt":0.2845758973885409,"spread":0.2339913468106458,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002387104,0.0006077631,0.0007312145,0.001387845,0.001341986,0.002615837,0.001106278,0.001099885,0.003423369],"category_scores_gemma":[0.009287047,0.0003588242,0.0008563856,0.0006977222,0.00293295,0.004675101,0.003332956,0.001970591,0.0004031309],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001626507,"about_ca_system_score_gemma":0.0006582553,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000853525,"about_ca_topic_score_gemma":0.0005260913,"domain_scores_codex":[0.9984859,0.000358936,0.0001081438,0.0003205485,0.0003590949,0.0003673222],"domain_scores_gemma":[0.9951766,0.002144232,0.0007310067,0.0003533305,0.0008552412,0.0007395872],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001037822,0.00002103081,0.001316233,0.00005854966,0.00002831671,0.0003234263,0.000374743,0.004650628,0.007249675,0.9807544,0.0007639735,0.004355263],"study_design_scores_gemma":[0.00003145356,0.00009805246,0.001646486,0.00002287123,0.00001373317,0.0002560655,0.0002811031,0.1002273,0.002856739,0.8926716,0.001848417,0.00004622514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7633377,0.001232235,0.1954031,0.002700837,0.0001692221,0.00008327176,0.000311721,0.0002181721,0.03654369],"genre_scores_gemma":[0.9858164,0.0002763756,0.009424585,0.0002254426,0.000122492,0.00006670162,0.0001568724,0.00003212454,0.00387921],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003423369,"threshold_uncertainty_score":0.01262438,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2949296389","doi":"10.2969/jmsj/80878087","title":"Hardy and Rellich inequalities with exact missing terms on homogeneous groups","year":2019,"lang":"en","type":"article","venue":"Journal of the Mathematical Society of Japan","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Division of Mathematical Sciences; Pacific Institute for the Mathematical Sciences","keywords":"Homogeneous; Mathematics; Inequality; Bessel function; Pure mathematics; Algebra over a field; Calculus (dental); Mathematical analysis; Combinatorics; Orthodontics; Medicine","authors":[{"name":"Duy T. Nguyen","is_ca":false},{"name":"Nguyen Lam-Hoang","is_ca":false},{"name":"Triet Anh Nguyen","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02910259984147044,"gpt":0.2788475826601389,"spread":0.2497449828186685,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002465062,0.0008876129,0.0007449332,0.002401049,0.001047488,0.001960881,0.001384567,0.0008792232,0.00621986],"category_scores_gemma":[0.006194176,0.0004095126,0.001001471,0.000988765,0.003302912,0.004911084,0.003230389,0.002714388,0.0007433915],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00135464,"about_ca_system_score_gemma":0.0006689646,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000857225,"about_ca_topic_score_gemma":0.000689472,"domain_scores_codex":[0.9988224,0.0003356035,0.00006579197,0.0001942041,0.0003172114,0.0002647712],"domain_scores_gemma":[0.9972367,0.001224916,0.0003918426,0.0002633836,0.0004970658,0.0003860256],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000221267,0.00001400246,0.0002027824,0.0000305315,0.000009183197,0.00008386732,0.0001410336,0.001004713,0.0009079851,0.9943948,0.0005439804,0.002645122],"study_design_scores_gemma":[0.00001366188,0.0000263403,0.0004655087,0.00001621891,0.00001225069,0.00008837266,0.0001220018,0.0137955,0.0008887224,0.9831926,0.001363296,0.00001549223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4451714,0.00179911,0.4246064,0.003489083,0.0005254038,0.00008545637,0.0004026475,0.0001706389,0.1237499],"genre_scores_gemma":[0.9497659,0.0007097191,0.03241109,0.0004201395,0.0005540391,0.00008312795,0.000167217,0.00007201298,0.01581681],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00621986,"threshold_uncertainty_score":0.0208075,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2962906663","doi":"10.2969/jmsj/07027595","title":"Exponential mixing for generic volume-preserving Anosov flows in dimension three","year":2018,"lang":"en","type":"article","venue":"Journal of the Mathematical Society of Japan","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"Japan Society for the Promotion of Science","keywords":"Mathematics; Mixing (physics); Dimension (graph theory); Volume (thermodynamics); Manifold (fluid mechanics); Space (punctuation); Pure mathematics; Exponential function; Exponential growth; Riemann hypothesis; Flow (mathematics); Mathematical analysis; Geometry; Physics","authors":[{"name":"Masato Tsujii","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04728122002805314,"gpt":0.2990055448143324,"spread":0.2517243247862793,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007657945,0.0005948605,0.0004777347,0.001991611,0.001236401,0.001740948,0.0004210793,0.0006310407,0.001791514],"category_scores_gemma":[0.001932539,0.0002417624,0.0006498506,0.0004538661,0.001761877,0.002342043,0.002256806,0.001011626,0.000133945],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001074266,"about_ca_system_score_gemma":0.0003694726,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000808852,"about_ca_topic_score_gemma":0.0004312883,"domain_scores_codex":[0.9997315,0.00006093316,0.00001846701,0.00004860268,0.00006296933,0.00007762457],"domain_scores_gemma":[0.9990595,0.0002606297,0.0002080872,0.00006934061,0.0001049992,0.0002973872],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000787134,0.00003965462,0.001577902,0.0000294872,0.00002042035,0.0001876788,0.0003596813,0.003633198,0.005244546,0.9862202,0.0002935357,0.002314986],"study_design_scores_gemma":[0.00005706978,0.0001393166,0.004136931,0.00004111342,0.00003160084,0.0004021187,0.000374604,0.1202841,0.004244872,0.8672841,0.002955073,0.00004917133],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9364118,0.0003181394,0.05002953,0.0004048559,0.00003905362,0.0000260103,0.00009699567,0.00007496231,0.01259862],"genre_scores_gemma":[0.9919749,0.0001915239,0.005265937,0.0000634618,0.00005704635,0.00003529285,0.0001256699,0.0000184789,0.00226775],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001991611,"threshold_uncertainty_score":0.00779438,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2964119600","doi":"10.2969/jmsj/80668066","title":"A proof of Saitoh's conjecture for conjugate Hardy $H^{2}$ kernels","year":2019,"lang":"en","type":"article","venue":"Journal of the Mathematical Society of Japan","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"National Natural Science Foundation of China; Centre de Recherches Mathématiques","keywords":"Mathematics; Conjecture; Conjugate; Boundary (topology); Pure mathematics; Combinatorics; Mathematical analysis","authors":[{"name":"Qi’an Guan","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03531812907560093,"gpt":0.2912802471871022,"spread":0.2559621181115013,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001138214,0.0006726919,0.0005314818,0.001207412,0.001180089,0.00153555,0.001011334,0.001254314,0.00927443],"category_scores_gemma":[0.004616548,0.000383619,0.0006397491,0.0008308213,0.002622949,0.004155557,0.003594171,0.002802496,0.0007652478],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006933134,"about_ca_system_score_gemma":0.0005092844,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008630876,"about_ca_topic_score_gemma":0.0006347573,"domain_scores_codex":[0.9995981,0.00008631012,0.00001939754,0.00007847445,0.0001338409,0.00008385897],"domain_scores_gemma":[0.9985203,0.0006934403,0.000134413,0.0001453828,0.0002841393,0.0002223106],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003213957,0.00001401995,0.0005161756,0.00006480501,0.000009165823,0.0001980493,0.0002728801,0.0009210587,0.001673188,0.9887798,0.003255681,0.004263045],"study_design_scores_gemma":[0.00002966533,0.00004504184,0.001849918,0.00002960708,0.00001528007,0.0002853615,0.0002482768,0.01590542,0.001899274,0.9708242,0.008845154,0.00002264417],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4767154,0.002672397,0.2752865,0.01968849,0.001836743,0.00006845643,0.0004985831,0.0003663065,0.2228671],"genre_scores_gemma":[0.9546901,0.001072886,0.02083777,0.001681218,0.0007534645,0.00007497836,0.0002059502,0.0001199669,0.02056357],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00927443,"threshold_uncertainty_score":0.03102607,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1999246351","doi":"10.2969/jmsj/06420399","title":"Bilinear estimates in dyadic BMO and the Navier-Stokes equations","year":2012,"lang":"en","type":"article","venue":"Journal of the Mathematical Society of Japan","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Bilinear interpolation; Maximal function; Extension (predicate logic); Bounded mean oscillation; Norm (philosophy); Mathematical analysis; Navier–Stokes equations; Singularity; Type (biology); Pure mathematics; Bounded function; Statistics; Law; Compressibility","authors":[{"name":"Eiichi Nakai","is_ca":false},{"name":"Tsuyoshi Yoneda","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06209813360300434,"gpt":0.338337860173597,"spread":0.2762397265705926,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001693093,0.001095315,0.0007256914,0.003041106,0.0008528105,0.001394898,0.000717868,0.0005871573,0.003000847],"category_scores_gemma":[0.003036498,0.00027789,0.0006986081,0.001095753,0.001487953,0.004010541,0.00448164,0.001799154,0.0004190049],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009157991,"about_ca_system_score_gemma":0.00061172,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001863079,"about_ca_topic_score_gemma":0.0009102256,"domain_scores_codex":[0.9993798,0.000153595,0.0000412796,0.00009786815,0.000209099,0.0001184581],"domain_scores_gemma":[0.998367,0.000286923,0.0003354161,0.0001000737,0.0004704521,0.0004401507],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004011248,0.00001980957,0.000676593,0.0001060176,0.00001361638,0.0001077801,0.0002829109,0.00335193,0.006749473,0.9813396,0.0006794159,0.006632797],"study_design_scores_gemma":[0.00001742003,0.0001224152,0.002510804,0.00006817096,0.00003934607,0.0003354233,0.0004702978,0.127507,0.004707864,0.8516709,0.01248994,0.00006048091],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2692345,0.004448545,0.6662809,0.002425631,0.00077535,0.00007854967,0.0003648808,0.0002410532,0.05615061],"genre_scores_gemma":[0.9110287,0.002989255,0.06165829,0.0004697001,0.0006746384,0.0001474296,0.0002504386,0.0001649057,0.02261663],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003041106,"threshold_uncertainty_score":0.01003885,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2949297942","doi":"10.2969/jmsj/80268026","title":"Optimal problem for mixed $p$-capacities","year":2019,"lang":"en","type":"article","venue":"Journal of the Mathematical Society of Japan","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"Hubei University; National Natural Science Foundation of China","keywords":"Mathematics; Isoperimetric inequality; Regular polygon; Type (biology); Mixed volume; Pure mathematics; Inequality; Convex function; Combinatorics; Mathematical analysis; Convex optimization; Convex combination; Geometry; Geology","authors":[{"name":"Baocheng Zhu","is_ca":true},{"name":"Xiaokang Luo","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04337013773032308,"gpt":0.2961310398395032,"spread":0.2527609021091801,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001830159,0.001597203,0.001430525,0.001141539,0.0008432062,0.00257973,0.002028203,0.002410125,0.01043595],"category_scores_gemma":[0.004222327,0.000731563,0.001145736,0.001420014,0.001536377,0.004696591,0.002543718,0.002998808,0.0009270851],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002140229,"about_ca_system_score_gemma":0.001593227,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001783359,"about_ca_topic_score_gemma":0.001481514,"domain_scores_codex":[0.9988449,0.0003941419,0.00005391879,0.0002920451,0.0001881341,0.0002268759],"domain_scores_gemma":[0.9988217,0.0006891487,0.0001002361,0.00007626744,0.0001924361,0.0001202598],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000225639,0.00009994888,0.0005757923,0.0006067779,0.00009719044,0.0001991553,0.00012484,0.3574336,0.003712795,0.5916921,0.006435139,0.03879698],"study_design_scores_gemma":[0.00003764172,0.0001157311,0.0004162198,0.0001028558,0.00004385998,0.0001649365,0.0001572002,0.7317019,0.002516432,0.25766,0.007036146,0.00004721159],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04689835,0.0009296642,0.9209859,0.001374915,0.0001519647,0.000126914,0.0004749696,0.0001763815,0.02888091],"genre_scores_gemma":[0.7511572,0.001699929,0.2188037,0.0006025626,0.0002371339,0.0006041161,0.0008191655,0.0003271447,0.02574906],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01043595,"threshold_uncertainty_score":0.03491169,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2020540009","doi":"10.2969/jmsj/06720789","title":"Distributive modules and Armendariz modules","year":2015,"lang":"en","type":"article","venue":"Journal of the Mathematical Society of Japan","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Distributive property; Mathematics; Construct (python library); Ring (chemistry); Pure mathematics; Computer science; Programming language","authors":[{"name":"Yiqiang Zhou","is_ca":true},{"name":"Michał Ziembowski","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04656820049059818,"gpt":0.287780674075197,"spread":0.2412124735845988,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008125683,0.0003140096,0.0002012299,0.0006365461,0.0007030429,0.001029345,0.0004411739,0.0002391365,0.005879608],"category_scores_gemma":[0.001183331,0.0002124745,0.000337761,0.0003467519,0.002288993,0.002598637,0.001979896,0.00112891,0.0006761234],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003607057,"about_ca_system_score_gemma":0.000295488,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001414525,"about_ca_topic_score_gemma":0.0001733616,"domain_scores_codex":[0.9995191,0.000130908,0.00002143268,0.00009610354,0.0001600781,0.00007236657],"domain_scores_gemma":[0.9994777,0.0001652726,0.00008346074,0.0001114987,0.00008276766,0.00007930396],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003341314,0.00002256105,0.0004195175,0.00004737601,0.000009006249,0.0001085853,0.0003749419,0.0007441404,0.004487022,0.97932,0.0004564598,0.01397697],"study_design_scores_gemma":[0.00002865047,0.00007948717,0.001256289,0.00001567428,0.00001358639,0.0004584659,0.0001928385,0.005777951,0.012033,0.9449011,0.03521971,0.00002328012],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2794833,0.001363136,0.5952824,0.0009022001,0.0001325118,0.00008677063,0.0001361116,0.0004941306,0.1221195],"genre_scores_gemma":[0.8763106,0.0005509458,0.09670813,0.000204394,0.0001654073,0.00008638895,0.0001331175,0.00005307848,0.02578789],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005879608,"threshold_uncertainty_score":0.01966923,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2023547238","doi":"10.2969/jmsj/06510013","title":"On invariant Gibbs measures conditioned on mass and momentum","year":2013,"lang":"en","type":"preprint","venue":"Journal of the Mathematical Society of Japan","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Invariant (physics); Mathematics; Invariant measure; Mathematical physics; Invariant mass; Gibbs measure; Bar (unit); Physics; Combinatorics; Mathematical analysis; Quantum mechanics","authors":[{"name":"Tadahiro Oh","is_ca":false},{"name":"Jeremy Quastel","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05134717543064626,"gpt":0.3008745096539867,"spread":0.2495273342233404,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001299679,0.0005361803,0.0007957155,0.001848482,0.00101546,0.001566036,0.001270422,0.001070475,0.003729546],"category_scores_gemma":[0.003781414,0.0003484793,0.0009806901,0.0005637594,0.003290977,0.002964308,0.001969849,0.001139831,0.0004076227],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001966002,"about_ca_system_score_gemma":0.001259874,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002452761,"about_ca_topic_score_gemma":0.001626085,"domain_scores_codex":[0.9991756,0.0002438547,0.00003425788,0.0001409564,0.0002492431,0.0001559683],"domain_scores_gemma":[0.9981932,0.0005505311,0.0003727519,0.0001872194,0.0002851049,0.0004111282],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002074225,0.00002203727,0.0003602415,0.00001549868,0.00001110224,0.00006053043,0.00005908738,0.009313156,0.001636957,0.9871091,0.0002958779,0.001095716],"study_design_scores_gemma":[0.00002667549,0.00003897722,0.0008388725,0.00001343286,0.00001057169,0.00009078868,0.00004050872,0.2905473,0.001136188,0.7063844,0.0008281075,0.00004420098],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5838637,0.0004270996,0.3878043,0.00170454,0.0001864992,0.00006750907,0.0002905613,0.0003133538,0.02534243],"genre_scores_gemma":[0.9679403,0.0003178109,0.02140155,0.0003322372,0.00027311,0.0001001306,0.0002706551,0.0001818776,0.009182264],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003729546,"threshold_uncertainty_score":0.0142644,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3014383176","doi":"10.2969/jmsj/80868086","title":"Newton polyhedra and order of contact on real hypersurfaces","year":2020,"lang":"en","type":"preprint","venue":"Journal of the Mathematical Society of Japan","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Polyhedron; Hypersurface; Mathematics; Regular polygon; Order (exchange); Equivalence (formal languages); Singularity; Type (biology); Function (biology); Gravitational singularity; Pseudoconvex function; Simple (philosophy); Pure mathematics; Convex function; Mathematical analysis; Combinatorics; Geometry; Subderivative; Convex optimization","authors":[{"name":"Joe Kamimoto","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02603153760369918,"gpt":0.2605852100663348,"spread":0.2345536724626356,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004786181,0.0003580956,0.0004477655,0.001919131,0.001075722,0.002055986,0.000515907,0.0005303645,0.005207033],"category_scores_gemma":[0.002193598,0.0002189674,0.0004447255,0.000589977,0.003062099,0.002780179,0.001271196,0.001355739,0.0004825332],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009990585,"about_ca_system_score_gemma":0.0003703612,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001252052,"about_ca_topic_score_gemma":0.0008821704,"domain_scores_codex":[0.9993162,0.0001096162,0.00003498061,0.0001030297,0.0003019858,0.0001341476],"domain_scores_gemma":[0.9987862,0.0003791437,0.0002732273,0.00009003226,0.0002283045,0.0002431462],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005017321,0.00002570493,0.001139903,0.00004280996,0.00000505588,0.000185341,0.0004875107,0.004364116,0.003346821,0.9830057,0.0003474401,0.006999384],"study_design_scores_gemma":[0.00002262461,0.0001180894,0.002915641,0.00003877722,0.000007438277,0.0005179781,0.0009926877,0.0455536,0.004989508,0.9375523,0.007251378,0.00003976916],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8304379,0.0004478212,0.1177255,0.0003111976,0.00007499683,0.00006779419,0.0001611735,0.00008588553,0.05068763],"genre_scores_gemma":[0.9817901,0.0002362978,0.009463395,0.00002825881,0.00005263434,0.00001814415,0.000115273,0.00003831114,0.00825758],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005207033,"threshold_uncertainty_score":0.01741928,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2941265355","doi":"10.2969/jmsj/82588258","title":"Self-avoiding walk on the complete graph","year":2020,"lang":"en","type":"preprint","venue":"Journal of the Mathematical Society of Japan","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Division of Mathematical Sciences; Research Institute for Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada","keywords":"Random walk; Self-avoiding walk; Mathematics; Graph; Finite graph; Combinatorics; Scaling; Limiting; Discrete mathematics; Complete graph","authors":[{"name":"Gordon Slade","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.101852129960136,"gpt":0.3135644940303644,"spread":0.2117123640702284,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001684363,0.0001752225,0.0002392531,0.0008923337,0.0002602564,0.0004307076,0.0002512891,0.0002627659,0.001556209],"category_scores_gemma":[0.0009036526,0.00008836399,0.0002132453,0.0002747626,0.0005767657,0.0008021394,0.0003390116,0.0002485098,0.0001367449],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003437588,"about_ca_system_score_gemma":0.0002829185,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001319368,"about_ca_topic_score_gemma":0.001047013,"domain_scores_codex":[0.9999398,0.00001529995,0.00000214914,0.000009722448,0.00001772488,0.00001531163],"domain_scores_gemma":[0.999708,0.0001128014,0.00004666121,0.00002795906,0.00004487497,0.00005955414],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001145747,0.00005775855,0.004768781,0.00009633198,0.00003654478,0.0005939374,0.0002723445,0.2350963,0.01515179,0.7349753,0.00162243,0.00721399],"study_design_scores_gemma":[0.00001447317,0.00002949616,0.003118836,0.00001456686,0.000008685022,0.000211962,0.0001231216,0.69311,0.002082956,0.299992,0.001276666,0.00001723777],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9561205,0.0002019069,0.03499538,0.000130551,0.00001167067,0.00001368333,0.00011706,0.0001028749,0.008306533],"genre_scores_gemma":[0.9959532,0.0001073058,0.002637518,0.00002472182,0.000007877506,0.00001103229,0.00009075436,0.00001442344,0.001153278],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001556209,"threshold_uncertainty_score":0.005206048,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3120482115","doi":"10.2969/jmsj/86238623","title":"On 3-2-1 values of finite multiple harmonic $q$-series at roots of unity","year":2021,"lang":"en","type":"preprint","venue":"Journal of the Mathematical Society of Japan","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Root of unity; Mathematics; Series (stratigraphy); Harmonic; Pure mathematics; Root (linguistics); Mathematical analysis; Physics; Quantum mechanics; Philosophy","authors":[{"name":"Khodabakhsh Hessami Pilehrood","is_ca":true},{"name":"Tatiana Hessami Pilehrood","is_ca":true},{"name":"Roberto Tauraso","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0619000539439075,"gpt":0.3040772941447604,"spread":0.2421772402008529,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006932569,0.001071265,0.0007862527,0.002139824,0.00188841,0.002253923,0.001539697,0.001408438,0.00823662],"category_scores_gemma":[0.00289542,0.0002835912,0.0006639833,0.00143304,0.003945474,0.005250098,0.00222524,0.00226072,0.001228595],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001090653,"about_ca_system_score_gemma":0.0004272378,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003633598,"about_ca_topic_score_gemma":0.0003262793,"domain_scores_codex":[0.999562,0.0000957181,0.00001812217,0.00009737512,0.0001053196,0.0001214704],"domain_scores_gemma":[0.9992442,0.0002348879,0.0001713809,0.0001029021,0.0001009888,0.0001456516],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004555184,0.00002449308,0.0004340438,0.00007997754,0.000005959394,0.0004093307,0.0004264498,0.001258123,0.003134775,0.9845892,0.0007995836,0.008792581],"study_design_scores_gemma":[0.000009897382,0.00003102854,0.0004679257,0.00004446207,0.000007276336,0.0003144693,0.0002486296,0.004307376,0.001951388,0.9894181,0.003174399,0.00002505482],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7539489,0.002303367,0.09115575,0.003211738,0.001153139,0.00005074367,0.0001714413,0.0002854988,0.1477195],"genre_scores_gemma":[0.9695002,0.001300199,0.01213731,0.0003797868,0.0007786916,0.00004772016,0.0001163191,0.0001145444,0.01562515],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00823662,"threshold_uncertainty_score":0.02755421,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2572539058","doi":"10.2969/jmsj/77057705","title":"Boundary Harnack principle and elliptic Harnack inequality","year":2019,"lang":"en","type":"preprint","venue":"Journal of the Mathematical Society of Japan","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences","keywords":"Harnack's principle; Harnack's inequality; Boundary (topology); Mathematics; Scale invariance; Maximum principle; Mathematical analysis; Invariant (physics); Property (philosophy); Scale (ratio); Dirichlet distribution; Pure mathematics; Boundary value problem; Mathematical optimization; Physics","authors":[{"name":"Martin T. Barlow","is_ca":false},{"name":"Mathav Murugan","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07785455095489455,"gpt":0.3562747040153281,"spread":0.2784201530604336,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001192506,0.0005027204,0.0007433525,0.00146761,0.001375627,0.001736305,0.001125839,0.001148975,0.003987969],"category_scores_gemma":[0.002927173,0.0003206227,0.0008493836,0.0004509399,0.002870806,0.004162349,0.004337561,0.002439257,0.0005801901],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008572098,"about_ca_system_score_gemma":0.0004429699,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003818492,"about_ca_topic_score_gemma":0.0002639126,"domain_scores_codex":[0.9992996,0.0001648118,0.00002715713,0.0001403764,0.000223079,0.0001448639],"domain_scores_gemma":[0.9986258,0.0003774996,0.0001747432,0.000190216,0.0002989186,0.000332827],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001417434,0.00001249978,0.0002783381,0.00004295702,0.000007172086,0.0001203735,0.00009351964,0.001598688,0.003167453,0.9907533,0.0007516737,0.00315992],"study_design_scores_gemma":[0.00001648075,0.0000410603,0.001178302,0.00003022559,0.000009997462,0.0003896066,0.0001316006,0.05403985,0.002635651,0.9380512,0.003448443,0.0000276693],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.3980115,0.002534976,0.4561767,0.004235929,0.0004448632,0.00008039883,0.0002582523,0.000377002,0.1378805],"genre_scores_gemma":[0.9599211,0.0005619478,0.0258451,0.0004893591,0.00022212,0.0000722572,0.0001166618,0.0001090488,0.01266246],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003987969,"threshold_uncertainty_score":0.01334107,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}