{"meta":{"query_hash":"6fe1e7aa4542","filters":{"venue":"American Journal of Mathematics"},"cohort_total":32,"direct_labels_cover":0,"predictions_cover":32,"exported":32,"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/6fe1e7aa4542","api":"https://metacan.xera.ac/api/v1/cohort?venue=American+Journal+of+Mathematics"},"results":[{"id":"W1589043872","doi":"10.1353/ajm.2016.0003","title":"Bounds for p -adic exponential sums and log-canonical thresholds","year":2016,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Analytic Number Theory Research","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":"Toronto Metropolitan University","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Conjecture; Exponential function; Modulo; Homogeneity (statistics); Combinatorics; Polynomial; Discrete mathematics; Pure mathematics; Mathematical analysis; Statistics","score_opus":0.05448696776770175,"score_gpt":0.36016614588751994,"score_spread":0.3056791781198182,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1589043872","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":[0.44245392,0.0033123381,0.38251778,0.0066498397,0.0005031475,0.000097793956,0.0007660455,0.0010720227,0.1626271],"genre_scores_gemma":[0.97671527,0.0008278943,0.015620789,0.0005197855,0.00048050642,0.00014208329,0.00027996342,0.00015581597,0.0052579497],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997894,0.00041577622,0.00012247631,0.00052954716,0.00058592675,0.00045231034],"domain_scores_gemma":[0.9863349,0.008570385,0.0010077966,0.0016406586,0.0012761302,0.001170084],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002763866,0.0010286209,0.0010271994,0.0026693896,0.0018697602,0.004040548,0.002257408,0.001122608,0.008814974],"category_scores_gemma":[0.028801188,0.0005318583,0.0009409586,0.002085741,0.0049866284,0.013619222,0.00541276,0.0036022833,0.0012687474],"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":[0.00007869591,0.000042653453,0.0023626257,0.00008539038,0.000011721492,0.00010354944,0.00023688423,0.0038583425,0.001369173,0.98273623,0.0018287048,0.00728602],"study_design_scores_gemma":[0.0000130429025,0.000024724706,0.0010845877,0.00002440498,0.000016455257,0.00018875216,0.00011451902,0.023832899,0.0017574887,0.9708896,0.0020300664,0.000023381168],"about_ca_topic_score_codex":0.0005328041,"about_ca_topic_score_gemma":0.0005558205,"teacher_disagreement_score":0.008814974,"about_ca_system_score_codex":0.0018846008,"about_ca_system_score_gemma":0.0006959935,"threshold_uncertainty_score":0.02948898},"labels":[],"label_agreement":null},{"id":"W1802797648","doi":"10.1353/ajm.2015.0045","title":"The local Langlands correspondence for GSp 4 over local function fields","year":2015,"lang":"en","type":"preprint","venue":"American Journal of Mathematics","topic":"Advanced Algebra and Geometry","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":"University of British Columbia","funders":"","keywords":"Function (biology); Mathematics; Langlands dual group; Physics; Pure mathematics","score_opus":0.03429693527129693,"score_gpt":0.33345706028076894,"score_spread":0.299160125009472,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1802797648","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":[0.5666911,0.0010514819,0.16342531,0.006322604,0.00090995576,0.000110669076,0.0005463136,0.0006967607,0.2602459],"genre_scores_gemma":[0.9609744,0.000429048,0.010308132,0.0006474231,0.0005095634,0.00008074261,0.00024490754,0.00014714077,0.026658636],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992391,0.00020088929,0.000040013583,0.00014259742,0.00017959063,0.00019783986],"domain_scores_gemma":[0.9990933,0.00027624544,0.00014009321,0.00010977287,0.00016991871,0.00021064203],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012011593,0.000862139,0.00075991347,0.0020396544,0.0022743347,0.0028523253,0.00077853026,0.0010871892,0.013249541],"category_scores_gemma":[0.0018039494,0.00037659032,0.0010859345,0.0008847796,0.002916966,0.0066337907,0.003767201,0.0029627767,0.002172119],"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":[0.000028822868,0.000018951032,0.00018978551,0.000027829159,0.000005590179,0.00012172759,0.0002243885,0.00025854754,0.0007773959,0.9952814,0.0008076126,0.0022578752],"study_design_scores_gemma":[0.000021505402,0.000045256686,0.0002952748,0.000013113508,0.000010571383,0.00021362756,0.00017083538,0.002226409,0.001115158,0.9918711,0.0040043117,0.000012672213],"about_ca_topic_score_codex":0.0005004336,"about_ca_topic_score_gemma":0.0003791584,"teacher_disagreement_score":0.013249541,"about_ca_system_score_codex":0.0013629515,"about_ca_system_score_gemma":0.0005909968,"threshold_uncertainty_score":0.04432416},"labels":[],"label_agreement":null},{"id":"W1937606597","doi":"10.1353/ajm.2010.a404143","title":"p -adic elliptic polylogarithm, p -adic Eisenstein series and Katz measure","year":2010,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":14,"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":"Eisenstein series; Mathematics; Polylogarithm; Modular form; Elliptic curve; Modular curve; Pure mathematics; Conjecture; Modular design; Algebra over a field; Arithmetic zeta function; Riemann zeta function; Computer science; Prime zeta function","score_opus":0.012746541987879936,"score_gpt":0.2532898965956964,"score_spread":0.24054335460781645,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1937606597","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":[0.9252981,0.0006970664,0.030321222,0.0007423454,0.00007926639,0.000017119,0.00007934973,0.000079889454,0.04268563],"genre_scores_gemma":[0.9939818,0.00023571888,0.0022010782,0.000036871683,0.000070194124,0.000009240955,0.000031527135,0.000008953686,0.0034246135],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998171,0.00003206728,0.000009600718,0.00004055459,0.000054670778,0.000045981244],"domain_scores_gemma":[0.99962485,0.000080396276,0.00009747899,0.000039945287,0.000043195272,0.00011412794],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033858686,0.0004722132,0.0003784284,0.001306297,0.0009758845,0.0018850644,0.00046058194,0.00046754323,0.0021528935],"category_scores_gemma":[0.0011318641,0.00017444884,0.00033338397,0.00078297267,0.003183405,0.0024599405,0.0013504679,0.0010929103,0.00028304177],"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":[0.00002287358,0.0000151936165,0.0007680429,0.000018403134,0.000004054663,0.00013625532,0.00014176148,0.00078639336,0.0015360529,0.99331796,0.00028909775,0.002963893],"study_design_scores_gemma":[0.000024498275,0.00004660906,0.0018563627,0.000020240464,0.000009499352,0.00039521285,0.00020908783,0.007943166,0.0015121903,0.9854351,0.0025241224,0.000023937391],"about_ca_topic_score_codex":0.00045512998,"about_ca_topic_score_gemma":0.00043464522,"teacher_disagreement_score":0.0021528935,"about_ca_system_score_codex":0.000882849,"about_ca_system_score_gemma":0.00035276267,"threshold_uncertainty_score":0.0072021484},"labels":[],"label_agreement":null},{"id":"W1970159847","doi":"10.1353/ajm.2002.0010","title":"Properties of harmonic measures in the Dirichlet problem for nilpotent Lie groups of Heisenberg type","year":2002,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":35,"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; Harmonic measure; Nilpotent; Measure (data warehouse); Heisenberg group; Pure mathematics; Lie group; Dirichlet problem; Mathematical analysis; Absolute continuity; Lie algebra; Dirichlet boundary condition; Harmonic map; Boundary (topology); Boundary value problem; Harmonic function","score_opus":0.14152917244133556,"score_gpt":0.30982759122644504,"score_spread":0.16829841878510948,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970159847","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":[0.9106321,0.0003329721,0.07249601,0.0005831438,0.000049147257,0.000035387187,0.00006274895,0.000048265796,0.015760183],"genre_scores_gemma":[0.9908275,0.00013181927,0.005625681,0.00003949599,0.00006552479,0.000038469854,0.00006564388,0.000019960735,0.003185892],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994442,0.00016317848,0.000035788442,0.00008080332,0.0001630517,0.00011293238],"domain_scores_gemma":[0.99784255,0.0010008598,0.00032490352,0.00012036184,0.00018747374,0.00052387867],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001555205,0.00049360073,0.0007331228,0.002123918,0.0016074246,0.0032101322,0.00087399036,0.0010715404,0.0025467337],"category_scores_gemma":[0.0051684272,0.00041437597,0.0005941245,0.0005364763,0.00420311,0.0031729601,0.0028428992,0.001131268,0.00024641087],"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":[0.000066970766,0.000033485147,0.0012070528,0.000037521586,0.000014042093,0.00021745182,0.0005791975,0.004708382,0.0020683093,0.988781,0.00019556007,0.0020909915],"study_design_scores_gemma":[0.000034385954,0.000057741985,0.00082110695,0.000022462558,0.000008882703,0.00022561371,0.00036418455,0.051324807,0.0013804035,0.9448384,0.00089583674,0.000026082183],"about_ca_topic_score_codex":0.00043078742,"about_ca_topic_score_gemma":0.00028556885,"teacher_disagreement_score":0.0032101322,"about_ca_system_score_codex":0.00097111525,"about_ca_system_score_gemma":0.00044194856,"threshold_uncertainty_score":0.0085196495},"labels":[],"label_agreement":null},{"id":"W1984162696","doi":"10.1353/ajm.2007.0033","title":"Tight contact structures on some small Seifert fibered 3-manifolds","year":2007,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":40,"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":"Hungarian Scientific Research Fund; Princeton University; National Science Foundation","keywords":"Fibered knot; Mathematics; Regular polygon; Pure mathematics; Computation; Combinatorics; Geometry; Algorithm","score_opus":0.030238094317134954,"score_gpt":0.29643806104082127,"score_spread":0.2661999667236863,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1984162696","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":[0.9890325,0.00011404708,0.008418098,0.000040918065,0.0000045406496,0.000011726274,0.00004645848,0.000037642105,0.002294036],"genre_scores_gemma":[0.9970823,0.000100348974,0.001739462,0.00000822676,0.0000122681495,0.000009584077,0.000109552966,0.000006574538,0.0009316962],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997409,0.000021706297,0.000018986595,0.000053794505,0.00009163162,0.00007294699],"domain_scores_gemma":[0.99939513,0.000098211574,0.00019946834,0.000047290578,0.00006901954,0.00019097603],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037719033,0.00077031483,0.0005524276,0.0038593614,0.0013722185,0.0017721782,0.000499965,0.0006706377,0.0030537595],"category_scores_gemma":[0.00091508956,0.0003843084,0.0003649279,0.0015062706,0.002224261,0.0026888996,0.0014731544,0.0008062553,0.000248633],"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":[0.00055505836,0.00021631179,0.028966038,0.00025706532,0.00010400433,0.0031262538,0.0046179364,0.021992862,0.042912927,0.8472526,0.001406927,0.04859206],"study_design_scores_gemma":[0.00011621741,0.00094010995,0.06436331,0.00018183926,0.00019293695,0.0039988393,0.00495768,0.12533367,0.03272657,0.7567867,0.0102473805,0.00015478043],"about_ca_topic_score_codex":0.0012497725,"about_ca_topic_score_gemma":0.000993751,"teacher_disagreement_score":0.0038593614,"about_ca_system_score_codex":0.00093658705,"about_ca_system_score_gemma":0.00021026126,"threshold_uncertainty_score":0.010215819},"labels":[],"label_agreement":null},{"id":"W2000826250","doi":"10.1353/ajm.2007.0046","title":"Algebraic cycles and Mumford-Griffiths invariants","year":2007,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":6,"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; Codimension; Modulo; Algebraic cycle; Algebraic number; Pure mathematics; Hodge conjecture; Kernel (algebra); Image (mathematics); Combinatorics; Algebra over a field; Cohomology; Mathematical analysis; Hodge theory","score_opus":0.021212369453948898,"score_gpt":0.2947567640378044,"score_spread":0.2735443945838555,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2000826250","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":[0.9659574,0.0005794417,0.00965041,0.00035387033,0.00003300336,0.00001887104,0.000085243795,0.00007332653,0.023248263],"genre_scores_gemma":[0.99375856,0.00018916166,0.0021726512,0.000035334873,0.000055829063,0.000012598785,0.00009628539,0.000010621227,0.0036689849],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99977976,0.000030943793,0.0000093891085,0.00005022559,0.00005629271,0.000073387186],"domain_scores_gemma":[0.99952674,0.00010762481,0.000084174666,0.000036937334,0.0000641553,0.00018047723],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031423056,0.00038109475,0.00036775236,0.0025101951,0.0011167076,0.0012248947,0.00041578538,0.0003117928,0.002912314],"category_scores_gemma":[0.0010576708,0.0002239837,0.00035778902,0.00075974804,0.0024626064,0.0019417976,0.0018303527,0.0005995744,0.00016141616],"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":[0.00003405784,0.000014705707,0.001977576,0.000026698777,0.0000066740895,0.000100755715,0.00039019942,0.00094470783,0.001210991,0.98906684,0.00054508785,0.0056816284],"study_design_scores_gemma":[0.000022502427,0.00006264257,0.005462553,0.000021987995,0.000018159144,0.000274403,0.0003696017,0.0070789717,0.0021379234,0.9790359,0.005488314,0.000026961228],"about_ca_topic_score_codex":0.0016131764,"about_ca_topic_score_gemma":0.0015377991,"teacher_disagreement_score":0.002912314,"about_ca_system_score_codex":0.0010799216,"about_ca_system_score_gemma":0.0003985904,"threshold_uncertainty_score":0.009742677},"labels":[],"label_agreement":null},{"id":"W2001271579","doi":"10.1353/ajm.2006.0004","title":"Singularities of Schubert varieties, tangent cones and Bruhat graphs","year":2006,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":5,"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 British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung","keywords":"Mathematics; Algebraically closed field; Tangent cone; Combinatorics; Subvariety; Tangent; Gravitational singularity; Algebraic group; Maximal torus; Invariant (physics); Pure mathematics; Algebraic number; Mathematical analysis; Geometry; Variety (cybernetics); Mathematical physics; Lie algebra","score_opus":0.013756013229111883,"score_gpt":0.26535625279285724,"score_spread":0.25160023956374533,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2001271579","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":[0.9731074,0.0007159108,0.011962228,0.0001823675,0.000028710756,0.00003614792,0.000102749436,0.00008565998,0.013778922],"genre_scores_gemma":[0.9947548,0.00034737305,0.0019756097,0.000013869382,0.000038069556,0.00001409036,0.000113629896,0.000011991005,0.002730688],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99975663,0.000035812267,0.000015112616,0.0000348819,0.00008724672,0.00007033695],"domain_scores_gemma":[0.9996024,0.000066328255,0.00010895021,0.000023728235,0.00004361328,0.0001550352],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026030728,0.0005542165,0.0003882439,0.002911021,0.0014527383,0.0022484153,0.0005926289,0.0005768346,0.001475655],"category_scores_gemma":[0.00091542274,0.00039456302,0.0004372121,0.0013538909,0.0026281832,0.0020809835,0.001588396,0.0011574676,0.00028463732],"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":[0.0001446765,0.000052381467,0.005631243,0.00006934058,0.00001671527,0.0012209001,0.0019323359,0.0063444898,0.0053650416,0.97011244,0.00078549236,0.008324958],"study_design_scores_gemma":[0.000083364524,0.00015654061,0.010529896,0.00008803227,0.000030352423,0.0015365405,0.002287794,0.02608305,0.0043547708,0.94621646,0.008550003,0.00008320504],"about_ca_topic_score_codex":0.002542465,"about_ca_topic_score_gemma":0.0014441074,"teacher_disagreement_score":0.002911021,"about_ca_system_score_codex":0.0009727928,"about_ca_system_score_gemma":0.00038381777,"threshold_uncertainty_score":0.0070581436},"labels":[],"label_agreement":null},{"id":"W2015094878","doi":"10.1353/ajm.2010.0000","title":"Harmonic mappings of an annulus, Nitsche conjecture and its generalizations","year":2010,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Analytic and geometric function 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":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Conjecture; Annulus (botany); Combinatorics; Boundary (topology); Geometry; Mathematical analysis","score_opus":0.020677750913678627,"score_gpt":0.28216891828260227,"score_spread":0.26149116736892364,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2015094878","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":[0.7649096,0.003791925,0.04540322,0.0056113536,0.00032865544,0.00003211224,0.00027608397,0.00020930685,0.17943773],"genre_scores_gemma":[0.9768544,0.0010967833,0.007398908,0.00034539375,0.00033456282,0.00002817996,0.00017818745,0.000040151463,0.013723559],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999624,0.000064976826,0.00001674367,0.00012430438,0.0001005177,0.000069335816],"domain_scores_gemma":[0.9993081,0.00027343238,0.00008382752,0.0001232662,0.00009580619,0.000115499206],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066636567,0.00032277912,0.0004433133,0.0008015392,0.0018488677,0.0014094193,0.0005836894,0.0013911705,0.0038178945],"category_scores_gemma":[0.0042113364,0.00027180664,0.0005367059,0.00047424473,0.0025699988,0.003611829,0.0022653814,0.0013885682,0.0005991794],"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":[0.000022247381,0.000008156989,0.00064686517,0.00002615207,0.000002986918,0.0000811606,0.00026385035,0.0018397132,0.0007705949,0.9915456,0.0014062771,0.00338627],"study_design_scores_gemma":[0.000016782184,0.000035760157,0.00203525,0.000025956168,0.0000078949,0.00030897305,0.00037976907,0.01902721,0.0009269452,0.96462524,0.012589941,0.000020207262],"about_ca_topic_score_codex":0.0022406238,"about_ca_topic_score_gemma":0.0009631705,"teacher_disagreement_score":0.0038178945,"about_ca_system_score_codex":0.0010616685,"about_ca_system_score_gemma":0.0004077474,"threshold_uncertainty_score":0.012772083},"labels":[],"label_agreement":null},{"id":"W2016397025","doi":"10.1353/ajm.2005.0035","title":"Non-abelian zeta functions for function fields","year":2005,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Analytic Number Theory Research","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":"Toronto Metropolitan University","funders":"Japan Society for the Promotion of Science","keywords":"Mathematics; Abelian group; Pure mathematics; Arithmetic zeta function; Riemann zeta function","score_opus":0.042119985885288334,"score_gpt":0.3459635604341785,"score_spread":0.30384357454889016,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016397025","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":[0.8622335,0.00055441115,0.11380173,0.00057300186,0.00016460288,0.00004808397,0.000054904656,0.00015560852,0.022414217],"genre_scores_gemma":[0.982205,0.00029755916,0.011192837,0.00008113393,0.00013837167,0.00004936133,0.00006317542,0.000058933045,0.0059136488],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995461,0.00010431228,0.000025354555,0.00006692961,0.00015967336,0.00009757817],"domain_scores_gemma":[0.999143,0.00023845644,0.00013512369,0.00006724055,0.00016891315,0.0002473081],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009077408,0.0009789491,0.00053552067,0.0034622916,0.0010302975,0.0029063108,0.0006906116,0.000582942,0.0021489952],"category_scores_gemma":[0.0020106167,0.00023356591,0.00054110005,0.0008865884,0.0029463589,0.0047249147,0.0019128042,0.0014734428,0.00037230976],"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":[0.000027766011,0.000027750288,0.001174969,0.000036622485,0.0000065569016,0.00020576421,0.0003983445,0.00082513876,0.003983029,0.98672175,0.00020608236,0.0063862074],"study_design_scores_gemma":[0.000025485486,0.00006148875,0.0018412438,0.000046319154,0.0000143723555,0.0004909457,0.0004727826,0.013247301,0.0050276145,0.9740813,0.004651402,0.0000396997],"about_ca_topic_score_codex":0.00019618301,"about_ca_topic_score_gemma":0.00019050376,"teacher_disagreement_score":0.0034622916,"about_ca_system_score_codex":0.001191701,"about_ca_system_score_gemma":0.00041741662,"threshold_uncertainty_score":0.008646488},"labels":[],"label_agreement":null},{"id":"W2016643675","doi":"10.1353/ajm.0.0016","title":"Knot Floer homology detects genus-one fibred knots","year":2008,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":170,"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":"Fibered knot; Floer homology; Mathematics; Knot (papermaking); Corollary; Knot invariant; Homology (biology); Pure mathematics; Tricolorability; Knot complement; Conjecture; Khovanov homology; Knot theory; Combinatorics; Symplectic geometry; Biology; Amino acid","score_opus":0.04824581893821547,"score_gpt":0.2853034068701989,"score_spread":0.23705758793198342,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016643675","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":[0.97967935,0.000099360856,0.014794548,0.0001026319,0.00003608998,0.000008518368,0.000021790493,0.00012414293,0.005133595],"genre_scores_gemma":[0.9975745,0.00007280342,0.0014844392,0.000020442276,0.00001923892,0.0000033184933,0.00004558986,0.0000089881405,0.0007705985],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999416,0.00003310661,0.000029627994,0.00019241401,0.0001407052,0.00018815385],"domain_scores_gemma":[0.99830127,0.00044973637,0.0004294139,0.00024070611,0.0002604722,0.00031833627],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060147035,0.0005900917,0.00074250787,0.0036414133,0.00095985574,0.0019889078,0.0006471971,0.0009018698,0.0020399962],"category_scores_gemma":[0.002603106,0.00039930348,0.000519518,0.0006536445,0.0030117133,0.003085028,0.0037129405,0.001040375,0.0002446999],"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":[0.0005799586,0.00017465388,0.092047155,0.0002593723,0.00007470448,0.003909354,0.0058582374,0.0056979093,0.10893092,0.7089831,0.0012581252,0.07222651],"study_design_scores_gemma":[0.00008598132,0.0009132667,0.06715287,0.00011806264,0.00020047215,0.0074115125,0.003938589,0.038657714,0.11415816,0.7613276,0.005848015,0.00018762879],"about_ca_topic_score_codex":0.00070104003,"about_ca_topic_score_gemma":0.00049295777,"teacher_disagreement_score":0.0036414133,"about_ca_system_score_codex":0.0006091162,"about_ca_system_score_gemma":0.00023275317,"threshold_uncertainty_score":0.0068244934},"labels":[],"label_agreement":null},{"id":"W2028429238","doi":"10.1353/ajm.2011.0033","title":"Average twin prime conjecture for elliptic curves","year":2011,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":50,"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; National Science Foundation","keywords":"Mathematics; Conjecture; Sato–Tate conjecture; Twin prime; Prime (order theory); Elliptic curve; Supersingular elliptic curve; Order (exchange); Schoof's algorithm; Combinatorics; Elliott–Halberstam conjecture; Prime number theorem; Pure mathematics; Prime number; Collatz conjecture; Quarter period","score_opus":0.07913715609258434,"score_gpt":0.34504679930298254,"score_spread":0.2659096432103982,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028429238","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":[0.714673,0.005009044,0.22050966,0.004323666,0.0004150402,0.000046369707,0.0004940933,0.0005695685,0.05395956],"genre_scores_gemma":[0.9871744,0.0010030485,0.006211186,0.00020673152,0.00041921047,0.000036839207,0.00020542598,0.00006135616,0.004681747],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984054,0.00022401926,0.00006930058,0.0005444761,0.0005077341,0.00024909468],"domain_scores_gemma":[0.9944964,0.0026982932,0.00044628073,0.0009691763,0.00064843794,0.0007413711],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026133934,0.0005025252,0.0014307594,0.0021707253,0.0020008162,0.0031843674,0.0012191277,0.0010462158,0.0040074983],"category_scores_gemma":[0.014838409,0.0005122977,0.00080980104,0.0019900012,0.0036764857,0.01176514,0.0033968529,0.003016049,0.0005630744],"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":[0.0003132723,0.000040116716,0.0060143783,0.000101422585,0.000025127418,0.00023879367,0.00042256952,0.0072092772,0.0021207973,0.96059245,0.0027955337,0.02012635],"study_design_scores_gemma":[0.00003085186,0.00006814732,0.002576618,0.000032317,0.000025721167,0.0005975035,0.00015131838,0.03293571,0.002675434,0.9542422,0.006636465,0.000027620586],"about_ca_topic_score_codex":0.0007581627,"about_ca_topic_score_gemma":0.00031098237,"teacher_disagreement_score":0.0040074983,"about_ca_system_score_codex":0.0021525617,"about_ca_system_score_gemma":0.0005778623,"threshold_uncertainty_score":0.015618026},"labels":[],"label_agreement":null},{"id":"W2040306612","doi":"10.1353/ajm.2012.0013","title":"On character varieties, sets of discrete characters, and nonzero degree maps","year":2012,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","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":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Knot (papermaking); Combinatorics; Homotopy; Degree (music); Manifold (fluid mechanics); Pure mathematics; Dehn surgery","score_opus":0.03870671197700612,"score_gpt":0.29489254574835816,"score_spread":0.25618583377135207,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2040306612","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":[0.9466649,0.0006712548,0.031111171,0.000549895,0.000037882284,0.000025217765,0.00015764756,0.00009189663,0.020690035],"genre_scores_gemma":[0.9899886,0.00029673395,0.0062388508,0.000055690194,0.00006944843,0.00006065741,0.00021753622,0.00002095031,0.0030515245],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99901557,0.00020769032,0.00005870075,0.00031379805,0.00017793229,0.00022623267],"domain_scores_gemma":[0.9972185,0.0013508489,0.00038348694,0.00027482293,0.00016355151,0.0006087534],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007866173,0.0006562368,0.00079886545,0.0035564678,0.0033122965,0.003535399,0.0010201236,0.0009475432,0.0023960425],"category_scores_gemma":[0.0034473243,0.0006930154,0.0011278082,0.0016409695,0.0051561315,0.005935811,0.0046326746,0.0019277923,0.00017894828],"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":[0.00008839066,0.000045687415,0.004465956,0.000057946017,0.00001596028,0.00039178913,0.0017135331,0.001951601,0.003166995,0.9817727,0.00037698698,0.005952407],"study_design_scores_gemma":[0.000039711533,0.00014077323,0.0055399225,0.000055041906,0.000039298695,0.0007425777,0.0012798646,0.015475395,0.0030895667,0.9687955,0.0047354857,0.00006683766],"about_ca_topic_score_codex":0.0007812391,"about_ca_topic_score_gemma":0.0005060732,"teacher_disagreement_score":0.0035564678,"about_ca_system_score_codex":0.0016126527,"about_ca_system_score_gemma":0.00029929372,"threshold_uncertainty_score":0.01170063},"labels":[],"label_agreement":null},{"id":"W2044591655","doi":"10.1353/ajm.2011.0031","title":"Mutation of cluster-tilting objects and potentials","year":2011,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":137,"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; Japan Society for the Promotion of Science; Norges Forskningsråd","keywords":"Cluster (spacecraft); Mathematics; Mutation; Computer science; Genetics; Biology; Operating system","score_opus":0.033696840657087904,"score_gpt":0.2761329194486876,"score_spread":0.24243607879159973,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2044591655","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":[0.8556391,0.00052296254,0.103943735,0.000386541,0.00019354874,0.00005988129,0.00015662117,0.00021105834,0.038886543],"genre_scores_gemma":[0.98666024,0.0001814467,0.0066798213,0.00009458631,0.000050231727,0.000029207478,0.000100090634,0.000039057915,0.0061653526],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995339,0.000048491453,0.000024237715,0.000105545114,0.00019100036,0.000096943186],"domain_scores_gemma":[0.9993662,0.000114143586,0.00014314344,0.00008453714,0.00011653303,0.00017539167],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032403463,0.00029643718,0.00034253125,0.0011059759,0.0011105451,0.0014483677,0.00066708494,0.0004479542,0.0046873004],"category_scores_gemma":[0.0013182648,0.00018121305,0.0004546612,0.00056407147,0.0018528292,0.0024497898,0.0020279237,0.00092679757,0.00044175755],"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":[0.000020433927,0.00001802567,0.0019138501,0.000033612247,0.000011087696,0.00045738884,0.0004706733,0.0020410994,0.006435133,0.9813292,0.0005296118,0.006739876],"study_design_scores_gemma":[0.000013253087,0.000063977364,0.0032270353,0.00002238824,0.00002136364,0.0011508295,0.00048276922,0.018948097,0.009147226,0.95962864,0.0072463746,0.000048016736],"about_ca_topic_score_codex":0.0012935201,"about_ca_topic_score_gemma":0.00093770406,"teacher_disagreement_score":0.0046873004,"about_ca_system_score_codex":0.00081538036,"about_ca_system_score_gemma":0.0004002492,"threshold_uncertainty_score":0.015680611},"labels":[],"label_agreement":null},{"id":"W2046925910","doi":"10.1353/ajm.2014.0020","title":"A proof of the finite field analogue of Jacquet’s conjecture","year":2014,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":30,"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; Conjecture; Isomorphism (crystallography); Combinatorics; Finite field; Field (mathematics); Quotient; Converse; Pure mathematics; Omega; Irreducible representation; Discrete mathematics; Geometry","score_opus":0.013558158442192976,"score_gpt":0.2759088955873261,"score_spread":0.26235073714513313,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046925910","genre_codex":"other","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":[0.2909078,0.0026443996,0.28067502,0.02755098,0.0042055226,0.0001709703,0.0007806021,0.0011108923,0.39195374],"genre_scores_gemma":[0.94590455,0.0007613777,0.026775097,0.0028838883,0.0016208711,0.000086602944,0.00035621066,0.00009675641,0.021514665],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987999,0.00018777032,0.00004233211,0.0002604925,0.00050391414,0.00020548445],"domain_scores_gemma":[0.9979114,0.00079064275,0.00012959688,0.00028754276,0.00061217387,0.0002686629],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001682072,0.0005591236,0.00062966347,0.0013861359,0.001875947,0.0017043184,0.0011247954,0.0012089278,0.009955477],"category_scores_gemma":[0.005642037,0.00030523626,0.00091814983,0.0010201101,0.0036657976,0.0032012032,0.0037957267,0.003256061,0.0011927992],"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":[0.000023254277,0.000022122662,0.00031155095,0.000062267354,0.0000073847514,0.00019095557,0.00036831002,0.00045171758,0.0010353589,0.9885799,0.004185495,0.004761604],"study_design_scores_gemma":[0.00003528111,0.00004935425,0.00068271544,0.000033251687,0.000017156477,0.00039633305,0.00018225366,0.006363271,0.0018531928,0.9641022,0.026257616,0.000027466398],"about_ca_topic_score_codex":0.0024008844,"about_ca_topic_score_gemma":0.0014144508,"teacher_disagreement_score":0.009955477,"about_ca_system_score_codex":0.0015018543,"about_ca_system_score_gemma":0.0008826307,"threshold_uncertainty_score":0.033304334},"labels":[],"label_agreement":null},{"id":"W2064526967","doi":"10.1353/ajm.2008.0013","title":"A Notable Family of Entire Intrinsic Minimal Graphs in the Heisenberg Group which are not Perimeter Minimizing","year":2008,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":56,"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":"National Science Foundation","keywords":"Perimeter; Mathematics; Euclidean geometry; Heisenberg group; Combinatorics; Group (periodic table); Stability (learning theory); Pure mathematics; Geometry; Quantum mechanics; Computer science; Physics","score_opus":0.04316169457822577,"score_gpt":0.271830193034567,"score_spread":0.22866849845634124,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2064526967","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":[0.9280566,0.0005440069,0.04636191,0.0004503692,0.000041798397,0.000035454494,0.00013561604,0.00014803196,0.024226239],"genre_scores_gemma":[0.98523104,0.0003080011,0.010026518,0.00009527635,0.000045476285,0.000026270554,0.0002536362,0.000041189855,0.0039725956],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998392,0.000035194716,0.0000039663178,0.00005149887,0.00004256129,0.000027650638],"domain_scores_gemma":[0.9995826,0.00014240923,0.00010837809,0.00004826253,0.00004281189,0.00007554906],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020011322,0.00033856847,0.0002794626,0.0005980512,0.0006350877,0.00071042386,0.00048704143,0.00047097614,0.0014472496],"category_scores_gemma":[0.0011640587,0.00020606419,0.0002769357,0.00027779012,0.0011288836,0.00085868535,0.0006595561,0.00062986393,0.00015236509],"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":[0.00008898416,0.00003483108,0.0043572355,0.0001642597,0.00005115347,0.0009734772,0.00089431356,0.011015278,0.019643458,0.9391739,0.002775897,0.020827267],"study_design_scores_gemma":[0.00004089571,0.00012733006,0.012164691,0.000035225203,0.000037784495,0.0022496225,0.00061494304,0.032449484,0.0042819893,0.9375865,0.010374418,0.000037224712],"about_ca_topic_score_codex":0.00049049023,"about_ca_topic_score_gemma":0.0008038871,"teacher_disagreement_score":0.0014472496,"about_ca_system_score_codex":0.00031093525,"about_ca_system_score_gemma":0.00023728434,"threshold_uncertainty_score":0.004841566},"labels":[],"label_agreement":null},{"id":"W2076500389","doi":"10.1353/ajm.2000.0034","title":"Double sections, dominating maps, and the Jacobian fibration","year":2000,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"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; National Science Foundation","keywords":"Mathematics; Fibration; Pure mathematics; Jacobian matrix and determinant; Fibered knot; Riemann surface; Conic section; Connection (principal bundle); Euler characteristic; Surface (topology); Orbifold; Mathematical analysis; Algebra over a field; Geometry; Homotopy","score_opus":0.013476817809129545,"score_gpt":0.2663309745620373,"score_spread":0.25285415675290773,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2076500389","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":[0.8128311,0.0023818281,0.11632459,0.00069790974,0.00012696876,0.00003381559,0.00010715993,0.00026013938,0.067236565],"genre_scores_gemma":[0.9850653,0.0004723616,0.006142957,0.00004733196,0.00005815904,0.000016386248,0.00005458682,0.00002582451,0.008117149],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99958414,0.00006644639,0.000024460935,0.00013308854,0.00008280087,0.00010910907],"domain_scores_gemma":[0.9993599,0.00015413572,0.00013642768,0.0001084535,0.00008788069,0.00015315297],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006413204,0.00064446306,0.00031415152,0.0015353039,0.0010190654,0.0014959538,0.00045179593,0.0004698486,0.00285299],"category_scores_gemma":[0.0011628524,0.00029413152,0.00037424528,0.00047256873,0.0027580026,0.0033102448,0.0023972702,0.0007751306,0.00024458749],"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":[0.000027777243,0.000013087236,0.0010524654,0.000032817763,0.0000061711694,0.00040224372,0.00037838452,0.0013992527,0.006021731,0.9843721,0.00034063245,0.005953321],"study_design_scores_gemma":[0.00004446373,0.00019442679,0.007110121,0.000049547278,0.000044377648,0.0018751746,0.00080798904,0.022828132,0.023135968,0.92186296,0.02199211,0.000054774948],"about_ca_topic_score_codex":0.000942128,"about_ca_topic_score_gemma":0.00071781944,"teacher_disagreement_score":0.00285299,"about_ca_system_score_codex":0.0009980567,"about_ca_system_score_gemma":0.00028690384,"threshold_uncertainty_score":0.009544134},"labels":[],"label_agreement":null},{"id":"W2076917064","doi":"10.1353/ajm.2006.0001","title":"Homology over local homomorphisms","year":2006,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":64,"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":"Homomorphism; Mathematics; Homology (biology); Pure mathematics; Genetics; Biology; Amino acid","score_opus":0.017132527929497342,"score_gpt":0.2975719545666506,"score_spread":0.28043942663715327,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2076917064","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":[0.6708459,0.0024403548,0.08955379,0.0014272804,0.00024589166,0.000053297415,0.00024175625,0.0005122252,0.23467939],"genre_scores_gemma":[0.97916746,0.00051771133,0.0045392714,0.000094500254,0.00021483446,0.000019336669,0.00009318399,0.000038925187,0.015314671],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995346,0.000086532775,0.000019059682,0.00014769328,0.0001232436,0.0000889603],"domain_scores_gemma":[0.9993149,0.0001981916,0.00009235427,0.0001186951,0.000102939564,0.00017291887],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007452981,0.00026725873,0.00041387381,0.001557605,0.000728663,0.0017808406,0.0004574502,0.00033116905,0.0050209356],"category_scores_gemma":[0.0012777293,0.00022286235,0.00029144617,0.00067008316,0.002919255,0.004946223,0.0026405992,0.0010167757,0.0004999297],"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":[0.000016377293,0.0000068235704,0.00043380514,0.00002785367,0.000005107665,0.00008674121,0.00048275394,0.0005012953,0.0011341344,0.9904563,0.00038650382,0.0064622574],"study_design_scores_gemma":[0.000010790721,0.00004391897,0.0023151664,0.00001940164,0.000011249311,0.00033886547,0.00030128343,0.004074487,0.001490839,0.9781821,0.013198286,0.000013539915],"about_ca_topic_score_codex":0.00048326992,"about_ca_topic_score_gemma":0.00029084302,"teacher_disagreement_score":0.0050209356,"about_ca_system_score_codex":0.00094882824,"about_ca_system_score_gemma":0.0002168085,"threshold_uncertainty_score":0.016796768},"labels":[],"label_agreement":null},{"id":"W2077005309","doi":"10.1353/ajm.2003.0011","title":"Upper semicontinuity of the dimensions of automorphism groups of domains in [inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"01i\" /]","year":2003,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":10,"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; Automorphism; Bounded function; Metric (unit); Automorphism group; Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.01844057909024431,"score_gpt":0.26861907179262356,"score_spread":0.25017849270237924,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077005309","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":[0.9427184,0.00040758218,0.046779037,0.00053164747,0.000024817415,0.000019950407,0.0002364823,0.00006546523,0.009216617],"genre_scores_gemma":[0.9907618,0.00025570908,0.0060314783,0.000055695007,0.000038757917,0.000057512738,0.0002698296,0.000027562037,0.0025016821],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987715,0.00031654612,0.00007169614,0.0003468237,0.00027379347,0.00021955805],"domain_scores_gemma":[0.99168175,0.0043667774,0.0013388015,0.00057597144,0.00056900765,0.0014677778],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001358158,0.0005387063,0.00062129716,0.0022878805,0.0009257791,0.0027342518,0.0008296434,0.00063776324,0.0030257613],"category_scores_gemma":[0.00720872,0.0004421559,0.0007516787,0.00074555917,0.0032383478,0.003030381,0.0025902695,0.0014654617,0.00025577415],"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":[0.00033386433,0.00006975734,0.007952602,0.00011423952,0.000055756875,0.0002557008,0.0016015923,0.011543398,0.009069849,0.95647544,0.00088822877,0.011639553],"study_design_scores_gemma":[0.000049595328,0.00017559978,0.011233645,0.000049506674,0.0000326298,0.0004398319,0.0006840641,0.07198061,0.0074492386,0.90381557,0.004036993,0.000052719886],"about_ca_topic_score_codex":0.0009824712,"about_ca_topic_score_gemma":0.00061285385,"teacher_disagreement_score":0.0030257613,"about_ca_system_score_codex":0.0015790398,"about_ca_system_score_gemma":0.00047288398,"threshold_uncertainty_score":0.011456847},"labels":[],"label_agreement":null},{"id":"W2082779829","doi":"10.1353/ajm.2004.0017","title":"F -structures and integral points on semiabelian varieties over finite fields","year":2004,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Pure mathematics; Finite field; Mathematical analysis; Discrete mathematics","score_opus":0.014894938135031264,"score_gpt":0.2738222654295823,"score_spread":0.25892732729455104,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082779829","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":[0.9685856,0.0003354105,0.023661513,0.0002417706,0.000015853848,0.000015594578,0.00007104078,0.000045595145,0.00702761],"genre_scores_gemma":[0.99538934,0.00016152677,0.003001723,0.000019249923,0.000042190382,0.000009213859,0.000060847728,0.0000068177,0.0013089123],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99959534,0.00005662268,0.000018646164,0.000090176545,0.00011951192,0.000119750475],"domain_scores_gemma":[0.99852777,0.0007344909,0.00030629543,0.00009492445,0.0001358842,0.00020064313],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007820014,0.00053829054,0.00065421726,0.0033419477,0.002324801,0.0024703837,0.0009046014,0.0008111325,0.0025029976],"category_scores_gemma":[0.0021343671,0.00038296892,0.00065831305,0.0014367589,0.004756606,0.005494254,0.001955305,0.0015477939,0.00019345798],"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":[0.000109114684,0.000046557903,0.0029110198,0.00005726185,0.000016159813,0.00036346403,0.0011478766,0.0020156864,0.0042533013,0.98299706,0.00023333808,0.005849112],"study_design_scores_gemma":[0.000042421205,0.00006739195,0.0020898348,0.000022620972,0.00001693031,0.0003741897,0.00057366036,0.0061005065,0.004916279,0.984663,0.0011055163,0.000027645154],"about_ca_topic_score_codex":0.0012827372,"about_ca_topic_score_gemma":0.0008130129,"teacher_disagreement_score":0.0033419477,"about_ca_system_score_codex":0.0016196573,"about_ca_system_score_gemma":0.0004308603,"threshold_uncertainty_score":0.011751473},"labels":[],"label_agreement":null},{"id":"W2087520687","doi":"10.1353/ajm.2013.0039","title":"A uniform spectral gap for congruence covers of a hyperbolic manifold","year":2013,"lang":"en","type":"preprint","venue":"American Journal of Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","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":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Backslash; Congruence (geometry); Ramanujan's sum; Mathematics; Lattice (music); Congruence subgroup; Pure mathematics; Combinatorics; Spectral gap; Mathematical analysis; Geometry; Physics","score_opus":0.040183641770311154,"score_gpt":0.3213178651855273,"score_spread":0.28113422341521616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087520687","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":[0.79645437,0.0014614338,0.09769377,0.0020316644,0.0002834881,0.000039143953,0.00023221206,0.00032591276,0.10147788],"genre_scores_gemma":[0.9867034,0.00033755726,0.007860557,0.00020978582,0.00022853643,0.000045895413,0.00018235046,0.00009453029,0.0043374505],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983505,0.0003138623,0.00008826137,0.00036280404,0.00046158626,0.0004230211],"domain_scores_gemma":[0.9974361,0.0011659984,0.00024165577,0.0002967265,0.00022672358,0.0006328795],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012270976,0.000779557,0.0009116786,0.002320954,0.0025925643,0.00322202,0.0012841087,0.0011610471,0.0068539167],"category_scores_gemma":[0.0051317373,0.00050928345,0.00063776475,0.0008611574,0.0039033995,0.006865043,0.004506489,0.0023208184,0.0007956249],"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":[0.000061541046,0.000028971182,0.00064662535,0.000042373413,0.0000066209245,0.000087145905,0.00033165945,0.00085881643,0.0016815749,0.9926461,0.00068036595,0.0029282623],"study_design_scores_gemma":[0.000021630029,0.000044699416,0.0006995813,0.00003420105,0.000015898719,0.00020947788,0.0003603881,0.018008327,0.0027994623,0.97474176,0.0030445051,0.00002001153],"about_ca_topic_score_codex":0.00052407105,"about_ca_topic_score_gemma":0.0005157197,"teacher_disagreement_score":0.0068539167,"about_ca_system_score_codex":0.0014306061,"about_ca_system_score_gemma":0.00040274044,"threshold_uncertainty_score":0.022928596},"labels":[],"label_agreement":null},{"id":"W2090756031","doi":"10.1353/ajm.2013.0042","title":"A multi-dimensional resolution of singularities with applications to analysis","year":2013,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":44,"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 British Columbia","funders":"","keywords":"Resolution of singularities; Mathematics; Gravitational singularity; Scalar (mathematics); Algebraic number; Characterization (materials science); Analytic function; Algebraic geometry; Mathematical analysis; Resolution (logic); Zero (linguistics); Pure mathematics; Algebra over a field; Geometry; Artificial intelligence","score_opus":0.04447124957622006,"score_gpt":0.35872101539442397,"score_spread":0.3142497658182039,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090756031","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":[0.016624948,0.0006673508,0.9744203,0.00055138994,0.00012230105,0.000039991188,0.0000546038,0.00011710406,0.0074020517],"genre_scores_gemma":[0.24826014,0.0009605881,0.74076,0.00034822294,0.00029614012,0.00014721882,0.00014737362,0.00022320787,0.008857115],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995352,0.00015986894,0.000030400019,0.00008872423,0.0001375945,0.000048195347],"domain_scores_gemma":[0.9989322,0.0004105726,0.000118539705,0.0002024029,0.00018620159,0.00015009036],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017867924,0.00083480024,0.0007957197,0.0028323655,0.0009576273,0.002007778,0.0015775753,0.0010078993,0.0029417635],"category_scores_gemma":[0.0050027207,0.00040973013,0.001091423,0.0012472413,0.0024667236,0.0031757425,0.003645398,0.0030128316,0.0009007341],"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":[0.000014009671,0.000018398865,0.00033875904,0.000060151815,0.000012276349,0.00007306321,0.00019126656,0.010319785,0.0025031823,0.9703362,0.0010644243,0.015068547],"study_design_scores_gemma":[0.000010716575,0.000033086497,0.00019559042,0.000044111017,0.000009529711,0.00010230612,0.00007417568,0.22340547,0.0015657429,0.7679173,0.0066203047,0.00002173123],"about_ca_topic_score_codex":0.00046971266,"about_ca_topic_score_gemma":0.00047609792,"teacher_disagreement_score":0.0029417635,"about_ca_system_score_codex":0.0010216647,"about_ca_system_score_gemma":0.00053414935,"threshold_uncertainty_score":0.009841144},"labels":[],"label_agreement":null},{"id":"W2099043914","doi":"10.1353/ajm.2005.0001","title":"Complexity one Hamiltonian SU (2) and SO (3) actions","year":2005,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Geometry and complex manifolds","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":"Toronto Metropolitan University","funders":"","keywords":"Equivariant map; Mathematics; Symplectic geometry; Hamiltonian (control theory); Pure mathematics; Moment map; Algebra over a field; Mathematical optimization","score_opus":0.1087792784603402,"score_gpt":0.3313209706859995,"score_spread":0.22254169222565934,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2099043914","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":[0.96709406,0.0002697169,0.0029777044,0.0003288191,0.00003297269,0.00001741271,0.00008348216,0.000050340393,0.02914546],"genre_scores_gemma":[0.99598664,0.00013165,0.0009411119,0.000034119177,0.000027554554,0.000007710341,0.00008814867,0.0000064726532,0.0027765715],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997838,0.000019211611,0.000011845575,0.000028734103,0.00007604386,0.00008040033],"domain_scores_gemma":[0.9996753,0.00004821801,0.000098959674,0.0000406278,0.00003622303,0.000100750985],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014569327,0.00041413092,0.00039122824,0.0014519445,0.0012720816,0.0019878168,0.00041066724,0.0010236781,0.0035666653],"category_scores_gemma":[0.0005286033,0.00016263557,0.00044240442,0.0007903237,0.001981982,0.0017530285,0.0012267207,0.0005358684,0.0002356316],"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":[0.000095784846,0.000067362664,0.004554653,0.000094873096,0.000025833993,0.00074969715,0.0011030727,0.0057465406,0.013250361,0.96245176,0.0014317045,0.010428416],"study_design_scores_gemma":[0.0000563412,0.00017331072,0.013639169,0.000054318403,0.00005158747,0.0016024993,0.0010860956,0.023619087,0.007768018,0.94140303,0.010489166,0.0000575039],"about_ca_topic_score_codex":0.0008865974,"about_ca_topic_score_gemma":0.0007946009,"teacher_disagreement_score":0.0035666653,"about_ca_system_score_codex":0.0006820923,"about_ca_system_score_gemma":0.00026366633,"threshold_uncertainty_score":0.011931658},"labels":[],"label_agreement":null},{"id":"W2102982981","doi":"10.1353/ajm.2007.0022","title":"Factoring the adjoint and maximal Cohen-Macaulay modules over the generic determinant","year":2007,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Algebraic structures and combinatorial models","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":"Toronto Metropolitan University; University of Toronto","funders":"","keywords":"Mathematics; Isomorphism (crystallography); Multiplicative function; Rank (graph theory); Factorization; Combinatorics; Square (algebra); Unique factorization domain; Matrix (chemical analysis); Pure mathematics; Field (mathematics); Variety (cybernetics); Algebra over a field; Discrete mathematics","score_opus":0.025945409214573598,"score_gpt":0.28743119367295195,"score_spread":0.26148578445837833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2102982981","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":[0.9165768,0.00032089814,0.058438484,0.00063783134,0.000057677862,0.000019473231,0.0000653534,0.00011881716,0.023764668],"genre_scores_gemma":[0.99091196,0.00011563232,0.005143293,0.000072781084,0.000051320534,0.0000114944205,0.00005480022,0.000018443141,0.0036203],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99923,0.00012520318,0.000037909707,0.00021531351,0.00015792412,0.00023366623],"domain_scores_gemma":[0.9990318,0.00026152583,0.00018134069,0.00018251057,0.00011985795,0.00022296881],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010215932,0.0004440611,0.00043596685,0.00086128793,0.0011486204,0.0017670989,0.00034558348,0.0006500894,0.0036581864],"category_scores_gemma":[0.002239376,0.00028768805,0.000723418,0.00043335982,0.0042257304,0.005380379,0.0018440228,0.0010962836,0.0003524791],"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":[0.00006426276,0.00002384869,0.00094294094,0.000026217205,0.000006332088,0.00019491457,0.0005602442,0.00073915184,0.0041255173,0.98756254,0.0003150618,0.00543892],"study_design_scores_gemma":[0.000025343936,0.00006776537,0.0010013503,0.000021176882,0.000011386676,0.0005400473,0.00040035753,0.0036277384,0.004779499,0.9858584,0.0036413067,0.000025552821],"about_ca_topic_score_codex":0.00056497887,"about_ca_topic_score_gemma":0.00039569454,"teacher_disagreement_score":0.0036581864,"about_ca_system_score_codex":0.0007441786,"about_ca_system_score_gemma":0.0004671875,"threshold_uncertainty_score":0.012237787},"labels":[],"label_agreement":null},{"id":"W2105369534","doi":"10.1353/ajm.2012.0020","title":"A boundary criterion for cubulation","year":2012,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":120,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Boundary (topology); Separable space; Fibered knot; Pure mathematics; Hyperbolic manifold; 3-manifold; Manifold (fluid mechanics); Action (physics); Cube (algebra); Group (periodic table); Mathematical analysis; Combinatorics; Hyperbolic function","score_opus":0.04604609349324386,"score_gpt":0.3468937397578172,"score_spread":0.30084764626457333,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2105369534","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":[0.5994443,0.0010227461,0.20682402,0.0020848226,0.00024615962,0.0001229792,0.0003987837,0.0006698131,0.18918633],"genre_scores_gemma":[0.97054684,0.00014127055,0.018913325,0.00020161679,0.00007729442,0.00008992351,0.0003172588,0.00016885891,0.009543769],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99924684,0.00010929457,0.000037825263,0.00016029098,0.00025286182,0.00019283],"domain_scores_gemma":[0.9988312,0.00022152723,0.00009037931,0.0001146843,0.00040058157,0.00034164987],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006913247,0.00033336872,0.00058826973,0.0015548615,0.0019453289,0.0025122927,0.0007120696,0.0010643769,0.0063895527],"category_scores_gemma":[0.002703802,0.00026703332,0.00041365626,0.0004159989,0.0034204458,0.0038814167,0.003764455,0.0014959731,0.0009873897],"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":[0.00002816788,0.0000076073343,0.0004915457,0.000024000708,0.0000023182322,0.00009549795,0.00026981853,0.00048422714,0.0023939242,0.9919693,0.0006446601,0.0035889398],"study_design_scores_gemma":[0.000026230393,0.00006995299,0.0009843652,0.00006624165,0.000012107897,0.0003694897,0.0008960196,0.016242687,0.011664509,0.9524619,0.017163731,0.000042872507],"about_ca_topic_score_codex":0.0016804729,"about_ca_topic_score_gemma":0.0010175476,"teacher_disagreement_score":0.0063895527,"about_ca_system_score_codex":0.0013867214,"about_ca_system_score_gemma":0.00071486924,"threshold_uncertainty_score":0.02137518},"labels":[],"label_agreement":null},{"id":"W2106554665","doi":"10.1353/ajm.2011.0027","title":"The cone of lower semicontinuous traces on a C*-algebra","year":2011,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":127,"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; University of Toronto","funders":"","keywords":"Mathematics; Semigroup; Cone (formal languages); Pure mathematics; Invariant (physics); Simple (philosophy); Algebra over a field; Computation; Mathematical physics; Algorithm","score_opus":0.046545756365718234,"score_gpt":0.32217321035282864,"score_spread":0.2756274539871104,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2106554665","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":[0.7607343,0.0008518596,0.20004667,0.0003073021,0.00008082218,0.000071794166,0.00025254418,0.00021426685,0.037440464],"genre_scores_gemma":[0.97063714,0.0003939655,0.020340811,0.00006907908,0.00008789906,0.000048705744,0.0002273755,0.000041074865,0.008153916],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99936277,0.000107096275,0.000034736397,0.00009409888,0.00030017027,0.000101075704],"domain_scores_gemma":[0.99861383,0.00041656167,0.00021617151,0.00009086603,0.00035211624,0.00031045388],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008890328,0.00041098899,0.0003943015,0.0020274557,0.001056408,0.0022504902,0.0005302075,0.00031441698,0.0024836373],"category_scores_gemma":[0.0019320991,0.00019881634,0.00049562927,0.0012254099,0.0022007686,0.0027254208,0.0010591696,0.001064556,0.00025775982],"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":[0.00004579365,0.000028430777,0.0011672275,0.000038709797,0.000007968101,0.00026108604,0.00045292676,0.002116413,0.003994353,0.98276144,0.00025858948,0.008867034],"study_design_scores_gemma":[0.000015334654,0.00013587014,0.0023817034,0.000037896778,0.000011190307,0.00048020072,0.00038958964,0.046029486,0.00536019,0.9390643,0.0060557323,0.00003832189],"about_ca_topic_score_codex":0.0015805471,"about_ca_topic_score_gemma":0.0010189639,"teacher_disagreement_score":0.0024836373,"about_ca_system_score_codex":0.0009773932,"about_ca_system_score_gemma":0.00068235165,"threshold_uncertainty_score":0.008308589},"labels":[],"label_agreement":null},{"id":"W2131633755","doi":"10.1353/ajm.2007.0000","title":"Metric Spaces with Linear Extensions Preserving Lipschitz Condition","year":2007,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":38,"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 Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Lipschitz continuity; Bounded function; Metric space; Pure mathematics; Invariant (physics); Metric (unit); Manifold (fluid mechanics); Metric map; Mathematical analysis; Convex metric space","score_opus":0.023607158585611143,"score_gpt":0.3109612183116273,"score_spread":0.2873540597260162,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2131633755","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":[0.8198345,0.0007584383,0.16038491,0.0005306033,0.00005492634,0.000023794573,0.00015822324,0.00017553696,0.018079042],"genre_scores_gemma":[0.97555715,0.00035313854,0.016919374,0.00007413532,0.00010204627,0.00002937131,0.00014175804,0.000038641378,0.0067844903],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995524,0.00008647904,0.000027919676,0.000101965554,0.0001448326,0.00008645653],"domain_scores_gemma":[0.99853873,0.00043039804,0.00036994315,0.00015716827,0.00016744011,0.0003362565],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005618152,0.0006778067,0.00045186077,0.0012702921,0.00070747273,0.0013718806,0.00051023264,0.00052180537,0.0014950209],"category_scores_gemma":[0.0022185007,0.00025823308,0.00052814226,0.00070244883,0.002045717,0.002712647,0.001999549,0.0014690441,0.00025612605],"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":[0.00004065575,0.00002369435,0.0007852667,0.000043922297,0.000014070378,0.00019539024,0.0003645237,0.009258908,0.0062155942,0.9737326,0.0003732623,0.0089521855],"study_design_scores_gemma":[0.000020994286,0.00021026396,0.0023237828,0.000025425532,0.000027708495,0.00051042694,0.00021700634,0.084734425,0.005966394,0.89781195,0.0081004435,0.000051116756],"about_ca_topic_score_codex":0.000617476,"about_ca_topic_score_gemma":0.0004326525,"teacher_disagreement_score":0.0014950209,"about_ca_system_score_codex":0.00095740246,"about_ca_system_score_gemma":0.00028466582,"threshold_uncertainty_score":0.0069464445},"labels":[],"label_agreement":null},{"id":"W2150706841","doi":"10.1353/ajm.2003.0041","title":"On a non-vanishing conjecture of Kawamata and the core of an ideal","year":2003,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":65,"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; Integrally closed; Ideal (ethics); Pure mathematics; Projective variety; Conjecture; Local ring; Multiplier (economics); Regular local ring; Maximal ideal; Dimension (graph theory); Generalization; Ample line bundle; Discrete mathematics; Ring (chemistry); Mathematical analysis; Algebra over a field","score_opus":0.018719125812219888,"score_gpt":0.2864512792613744,"score_spread":0.2677321534491545,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2150706841","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":[0.79944044,0.002971699,0.11592516,0.010692955,0.000574959,0.000045904053,0.0001660824,0.0004304361,0.06975232],"genre_scores_gemma":[0.98726094,0.00055526564,0.0067313327,0.0003930733,0.00039827797,0.000022699656,0.00013839237,0.000049475086,0.0044505466],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989699,0.00016991605,0.00006183666,0.0003088194,0.00023005891,0.0002595315],"domain_scores_gemma":[0.993867,0.0027184233,0.0006729943,0.0008938423,0.00084913714,0.0009986139],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029189736,0.00047205435,0.0014326731,0.0022520164,0.0022621127,0.0031669543,0.0013214892,0.0015472127,0.0036782906],"category_scores_gemma":[0.009973018,0.0005565595,0.0008250606,0.0016546147,0.008585002,0.011935698,0.0057007726,0.0029112592,0.00050873274],"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":[0.00008058395,0.000038926108,0.0021641492,0.00005688079,0.000007804958,0.0002890863,0.0007130637,0.00072381634,0.00073874445,0.9888149,0.0013977529,0.0049743825],"study_design_scores_gemma":[0.000023840574,0.00006063267,0.0016908933,0.000029828867,0.000017201257,0.00041299162,0.00040027412,0.0051560267,0.0011384885,0.98724896,0.003799829,0.000021108044],"about_ca_topic_score_codex":0.00074020895,"about_ca_topic_score_gemma":0.0005424729,"teacher_disagreement_score":0.0036782906,"about_ca_system_score_codex":0.001141701,"about_ca_system_score_gemma":0.00071905693,"threshold_uncertainty_score":0.015437186},"labels":[],"label_agreement":null},{"id":"W2160545245","doi":"10.1353/ajm.2015.0024","title":"Multi-marginal optimal transport on Riemannian manifolds","year":2015,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":19,"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; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Mathematics; Factorization; Riemannian manifold; Manifold (fluid mechanics); Graph; Weierstrass factorization theorem; Pure mathematics; Polar; Function (biology); Combinatorics","score_opus":0.05645886934817691,"score_gpt":0.31223145469262015,"score_spread":0.25577258534444325,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2160545245","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":[0.21981403,0.001045588,0.7650599,0.0020025477,0.00014108406,0.000050932096,0.000191201,0.00013808793,0.011556724],"genre_scores_gemma":[0.910356,0.00068298826,0.07681856,0.00016979777,0.00014502218,0.000102731734,0.00017939779,0.00012169552,0.011423835],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99961543,0.00013089042,0.000015239978,0.00010824901,0.000052818174,0.0000774108],"domain_scores_gemma":[0.99881256,0.00052273617,0.0001830874,0.00009061116,0.00015029885,0.00024069668],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013448168,0.0009996217,0.0012098731,0.0009784643,0.0009726325,0.0014450634,0.0010782342,0.0019946622,0.0027470968],"category_scores_gemma":[0.0037403426,0.0005803273,0.0012219824,0.0005830292,0.0023003148,0.0032588742,0.0021443611,0.0015879325,0.0002993217],"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":[0.000094240815,0.000047041543,0.00069785584,0.00009887973,0.000051884006,0.00021057461,0.00012871822,0.14541797,0.0023137806,0.84312993,0.0013808075,0.006428327],"study_design_scores_gemma":[0.000017041326,0.00005146113,0.00033386005,0.000019674977,0.000016119131,0.000082799685,0.00007477546,0.620024,0.0006229687,0.37704197,0.001696149,0.000019063715],"about_ca_topic_score_codex":0.0034886126,"about_ca_topic_score_gemma":0.002237242,"teacher_disagreement_score":0.0034886126,"about_ca_system_score_codex":0.002508652,"about_ca_system_score_gemma":0.000871888,"threshold_uncertainty_score":0.01820165},"labels":[],"label_agreement":null},{"id":"W2169320428","doi":"10.1353/ajm.2003.0022","title":"p -adic variation of L functions of one variable exponential sums, I","year":2003,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"advanced mathematical theories","field":"Mathematics","cited_by":46,"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":"University of California Berkeley; David and Lucile Packard Foundation","keywords":"Mathematics; Variation (astronomy); Exponential function; Variable (mathematics); Pure mathematics; Mathematical analysis","score_opus":0.030844896395532596,"score_gpt":0.28990234288608024,"score_spread":0.2590574464905476,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2169320428","genre_codex":"other","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":[0.29468668,0.0049447175,0.28045747,0.0028410184,0.0017843959,0.000087639564,0.00111128,0.001185588,0.41290128],"genre_scores_gemma":[0.8964331,0.0018394251,0.021260845,0.0006270145,0.0011191235,0.000114654744,0.0006398186,0.000686784,0.07727931],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99910045,0.00017363572,0.000033823355,0.00024295958,0.00020428075,0.00024495297],"domain_scores_gemma":[0.99876225,0.00026953642,0.00020820118,0.00014969392,0.00032296503,0.00028731898],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008616988,0.001083063,0.0005902889,0.0029609082,0.001216702,0.0035048558,0.0016399825,0.0005635526,0.0093354415],"category_scores_gemma":[0.0034089393,0.00039109832,0.0010302569,0.0015447381,0.0027046634,0.0029666685,0.0024637603,0.0028287948,0.0029987693],"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":[0.00007709696,0.00003356253,0.0007014859,0.00009712251,0.000026232243,0.00020924532,0.00043447907,0.0023352087,0.0019188919,0.96115685,0.0062786355,0.02673114],"study_design_scores_gemma":[0.000032495333,0.000105379106,0.0028200482,0.00010515273,0.000039613155,0.000861182,0.00030610923,0.028371949,0.0040673753,0.9120482,0.05113131,0.00011113027],"about_ca_topic_score_codex":0.0017695879,"about_ca_topic_score_gemma":0.0011057067,"teacher_disagreement_score":0.0093354415,"about_ca_system_score_codex":0.0028386265,"about_ca_system_score_gemma":0.00083901646,"threshold_uncertainty_score":0.031230092},"labels":[],"label_agreement":null},{"id":"W2766305235","doi":"10.1353/ajm.2020.0046","title":"Diameter and curvature control under mean curvature flow","year":2020,"lang":"en","type":"preprint","venue":"American Journal of Mathematics","topic":"Geometric Analysis and Curvature Flows","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":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; University of Toronto; National Science Foundation","keywords":"Mean curvature flow; Curvature; Regular polygon; Mathematics; Mean curvature; Flow (mathematics); Mathematical analysis; Mean flow; Geometry; Physics; Mechanics","score_opus":0.030502106364369855,"score_gpt":0.28622495181964636,"score_spread":0.2557228454552765,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2766305235","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":[0.5618811,0.0019073972,0.40822905,0.0012042468,0.00014258297,0.000042883254,0.00021691457,0.00050922966,0.025866471],"genre_scores_gemma":[0.9845636,0.0004395463,0.010609249,0.0000879569,0.00009019244,0.00003876873,0.00006235722,0.000103114566,0.0040052896],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995838,0.00009253043,0.000014462547,0.00012841323,0.00011461692,0.00006628725],"domain_scores_gemma":[0.9976706,0.00074138906,0.00056528073,0.00024243124,0.0003668165,0.00041347634],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008003962,0.0007243483,0.00054191344,0.0013535048,0.0006726345,0.0012603657,0.00084869313,0.00084879017,0.0018486372],"category_scores_gemma":[0.0046854587,0.00036209938,0.00061194977,0.00039908921,0.0025804855,0.0020446097,0.0025295755,0.0013281419,0.00026401802],"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":[0.00021115282,0.00006323846,0.004171433,0.00019447412,0.000036330035,0.0003250615,0.0006037506,0.08844569,0.08369598,0.7992339,0.0017224811,0.021296475],"study_design_scores_gemma":[0.00003666163,0.00037630295,0.009737045,0.000055231852,0.000038910788,0.0005924033,0.00015635442,0.68655735,0.022248512,0.27428383,0.005827722,0.00008965357],"about_ca_topic_score_codex":0.0012246701,"about_ca_topic_score_gemma":0.00058132905,"teacher_disagreement_score":0.0018486372,"about_ca_system_score_codex":0.0015892909,"about_ca_system_score_gemma":0.00050114037,"threshold_uncertainty_score":0.011531234},"labels":[],"label_agreement":null},{"id":"W2963319580","doi":"10.1353/ajm.2016.0026","title":"Torsion points and the Lattès family","year":2016,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","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 British Columbia","funders":"","keywords":"Mathematics; Torsion (gastropod); Combinatorics; Legendre polynomials; Elliptic curve; Discrete mathematics; Mathematical analysis; Anatomy","score_opus":0.02767476490658574,"score_gpt":0.27431410749534274,"score_spread":0.246639342588757,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963319580","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":[0.7716193,0.001080551,0.10909579,0.0015563279,0.0002500075,0.000046598427,0.00024411663,0.0003825785,0.11572463],"genre_scores_gemma":[0.9811013,0.00024185416,0.0061835214,0.00012608597,0.00010298455,0.000033073364,0.000110952155,0.00007657017,0.01202366],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997396,0.000046738794,0.000008791252,0.00005612203,0.00007398237,0.00007470092],"domain_scores_gemma":[0.99949133,0.0001337865,0.000104428,0.000063958636,0.00007330866,0.00013324559],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031665992,0.00054951507,0.00046091728,0.0015665792,0.0013510527,0.0011574642,0.00068543095,0.00067564676,0.009192943],"category_scores_gemma":[0.0014010186,0.00024042568,0.00063680427,0.0004119215,0.0018358713,0.0021852728,0.002010237,0.0014743942,0.00089996244],"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":[0.000038996863,0.000010786069,0.0007942613,0.000019717845,0.000007689651,0.00015621597,0.00028348147,0.002808906,0.0018667056,0.9879066,0.00076484145,0.005341901],"study_design_scores_gemma":[0.000020804162,0.000050420673,0.0009315411,0.000024703104,0.000009313794,0.00023462968,0.00016501492,0.026729569,0.0020047296,0.9635027,0.0063021337,0.00002445851],"about_ca_topic_score_codex":0.0007627063,"about_ca_topic_score_gemma":0.0005748018,"teacher_disagreement_score":0.009192943,"about_ca_system_score_codex":0.001271912,"about_ca_system_score_gemma":0.00035107328,"threshold_uncertainty_score":0.030753434},"labels":[],"label_agreement":null},{"id":"W2963338738","doi":"10.1353/ajm.2013.0010","title":"Geometric Auslander criterion for flatness","year":2013,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Commutative Algebra and Its Applications","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":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Morphism; Sheaf; Flatness (cosmology); Conjecture; Pure mathematics; Algebraic number; Torsion (gastropod); Fibered knot; Mathematical analysis","score_opus":0.043530943563741,"score_gpt":0.3421837439225581,"score_spread":0.29865280035881714,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963338738","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":[0.7496558,0.0012079367,0.10253295,0.0016333786,0.00015514794,0.000100004654,0.00064807874,0.0003214619,0.14374524],"genre_scores_gemma":[0.98483664,0.00022236978,0.0050171628,0.00015010605,0.00010461119,0.00003157001,0.0003756495,0.000031393203,0.009230452],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99928695,0.00010099635,0.000044701268,0.00019992456,0.0001897091,0.00017767824],"domain_scores_gemma":[0.99856275,0.00030667617,0.000127048,0.0001825178,0.00052105077,0.0003000132],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009526668,0.0004677913,0.00049367367,0.002513813,0.0015462922,0.0014230262,0.00065042183,0.0006010486,0.007154553],"category_scores_gemma":[0.0021872844,0.00031339226,0.0004489453,0.0006587464,0.0030875162,0.0029670098,0.0022446208,0.0015123291,0.0006578803],"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":[0.000023644548,0.000013525141,0.00196774,0.000035282257,0.00000815712,0.00024195723,0.00035122104,0.00073008967,0.0020749818,0.9903369,0.0007066398,0.0035098903],"study_design_scores_gemma":[0.000028633995,0.000110502966,0.008738062,0.000047011883,0.000025535748,0.0009362515,0.0006564587,0.008790003,0.004621961,0.9631332,0.012866666,0.000045827437],"about_ca_topic_score_codex":0.0021067285,"about_ca_topic_score_gemma":0.001199228,"teacher_disagreement_score":0.007154553,"about_ca_system_score_codex":0.00120872,"about_ca_system_score_gemma":0.00041714773,"threshold_uncertainty_score":0.023934364},"labels":[],"label_agreement":null}]}