{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":6,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":6,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"query_hash":"5a42d4d400d8","filters":{"venue":"Applied Mathematics Research eXpress"}},"results":[{"id":"W1983164848","doi":"10.1093/amrx/abs016","title":"Bifurcations of Asymmetric Vortices in Symmetric Harmonic Traps","year":2012,"lang":"en","type":"article","venue":"Applied Mathematics Research eXpress","topic":"Cold Atom Physics and Bose-Einstein Condensates","field":"Physics and Astronomy","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Vortex; Physics; Bifurcation; Rotation (mathematics); Saddle point; Classical mechanics; RADIUS; Symmetry (geometry); Saddle; Pitchfork bifurcation; Bifurcation theory; Quantum mechanics; Mechanics; Geometry; Mathematics; Nonlinear system","retraction":null,"screen_n_in":null,"score":{"opus":0.07348797109029748,"gpt":0.3528704058531272,"spread":0.2793824347628297,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001240417,0.0001720165,0.0003442392,0.0008305529,0.00011658,0.00006537104,0.0004679032,0.00005300703,0.0002198265],"category_scores_gemma":[0.00004643754,0.0001562601,0.00009188367,0.002372409,0.0001235408,0.0001886333,0.0002172588,0.0003703365,0.0001007101],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004203647,"about_ca_system_score_gemma":0.00007229864,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001433518,"about_ca_topic_score_gemma":0.000002721951,"domain_scores_codex":[0.9978222,0.0000553489,0.000496446,0.0002294108,0.0006943558,0.0007022184],"domain_scores_gemma":[0.997825,0.001179883,0.0001632644,0.0005236701,0.0001460751,0.0001621086],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.000007378991,0.00192801,0.005893319,0.0002198801,0.0000791698,3.677875e-7,0.001927092,0.00001406489,0.04606403,0.9129453,0.0003632169,0.03055819],"study_design_scores_gemma":[0.002498997,0.0001194586,0.011378,0.0002987655,0.0001041676,0.000001095586,0.01048921,0.00443072,0.6165006,0.3454147,0.007724216,0.001039994],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8928184,0.0004211663,0.002509629,0.00004915442,0.00006604506,0.0007658954,0.0000304744,0.00002478121,0.1033145],"genre_scores_gemma":[0.9954355,0.00001749854,0.003883294,0.000004132224,0.0001500933,0.000284239,0.00001385411,0.00003130393,0.0001801052],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5704366,"threshold_uncertainty_score":0.6372101,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2002606306","doi":"10.1093/amrx/abm006","title":"Phase Transitions in a Relaxation Model of Mixed Type with Periodic Boundary Condition","year":2007,"lang":"en","type":"article","venue":"Applied Mathematics Research eXpress","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Champlain Regional College; McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Relaxation (psychology); Mathematics; Mathematical analysis; Periodic boundary conditions; Viscosity; Type (biology); Boundary value problem; Boundary (topology); Initial value problem; Phase (matter); Conjecture; Steady state (chemistry); Phase transition; Physics; Pure mathematics; Thermodynamics; Chemistry; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.06492019210532322,"gpt":0.3603777365321978,"spread":0.2954575444268746,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001477181,0.0001330306,0.0002404879,0.0003878179,0.0001036288,0.00005631685,0.0004756624,0.00007990375,0.000004901349],"category_scores_gemma":[0.0001214219,0.0001203183,0.00002532196,0.000712472,0.0001666172,0.0002896307,0.00009749896,0.000357342,0.000009584028],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009412793,"about_ca_system_score_gemma":0.0001021483,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001399217,"about_ca_topic_score_gemma":0.000004937471,"domain_scores_codex":[0.9980971,0.00001892566,0.0004368857,0.0002768936,0.0007466649,0.0004235008],"domain_scores_gemma":[0.998637,0.0003757559,0.00008813577,0.0005619968,0.0002337469,0.0001033724],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00005587703,0.0009331136,3.192351e-7,0.0004448617,0.00001213305,0.000009014499,0.006588203,0.1320741,0.2336551,0.6246753,0.0000262532,0.001525717],"study_design_scores_gemma":[0.0009470595,0.000120639,0.00000160316,0.0001463007,0.000003687673,0.000005242211,0.0003706978,0.8033881,0.02872749,0.16615,0.00001197559,0.0001271373],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.158462,0.00001848408,0.8391908,0.00003611124,0.00001401171,0.000425311,0.000003719397,0.00007850479,0.001771045],"genre_scores_gemma":[0.5515429,0.000003428754,0.4483649,0.000003393191,0.00000600413,0.00004911432,0.000004810989,0.00001409753,0.00001141945],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.671314,"threshold_uncertainty_score":0.4906437,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2420549348","doi":"10.1093/amrx/abx004","title":"Stability of Periodic Waves of 1D Cubic Nonlinear Schrödinger Equations","year":2017,"lang":"en","type":"preprint","venue":"Applied Mathematics Research eXpress","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Centre International de Mathématiques et Informatique de Toulouse; Agence Nationale de la Recherche","keywords":"Nonlinear system; Mathematics; Elliptic function; Mathematical analysis; Instability; Cnoidal wave; Stability (learning theory); Mathematical proof; Period (music); Periodic function; Linear subspace; Physics; Classical mechanics; Pure mathematics; Wave equation; Quantum mechanics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.2693061889411408,"gpt":0.4518884826033898,"spread":0.182582293662249,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.005702607,0.0007846766,0.002488867,0.0005223218,0.0004523933,0.0001950569,0.003231779,0.0007266814,0.0003073324],"category_scores_gemma":[0.008268892,0.0007201052,0.0005355611,0.0003278874,0.002365699,0.0002128012,0.005147271,0.002547112,0.00006340969],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002331025,"about_ca_system_score_gemma":0.0007619868,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003496696,"about_ca_topic_score_gemma":0.000007288962,"domain_scores_codex":[0.9917113,0.0002361387,0.002524456,0.001139574,0.003255543,0.001132982],"domain_scores_gemma":[0.9807823,0.00871663,0.002363181,0.00592722,0.001881672,0.0003290288],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005461943,0.002921992,0.000002999946,0.03250789,0.0003412853,0.000003484114,0.007924412,0.0001091354,0.1523222,0.8028409,0.0004130317,0.0005580122],"study_design_scores_gemma":[0.0004746785,0.0000634073,0.000001066601,0.001692082,0.0001283017,0.000001054714,0.001070347,0.007949525,0.155788,0.8322942,0.00006787894,0.0004695588],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1947595,0.0005513785,0.70956,0.000289482,0.0003736053,0.01105033,0.001259802,0.0004159672,0.08173995],"genre_scores_gemma":[0.4914933,0.00009752601,0.5069112,0.000002890179,0.0001343054,0.0008857459,0.00005557347,0.0002065843,0.0002129236],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2967337,"threshold_uncertainty_score":0.9997541,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2003816224","doi":"10.1093/amrx/abu001","title":"Optimization of the Temporal Shape of Laser Pulses for Ablation","year":2014,"lang":"en","type":"article","venue":"Applied Mathematics Research eXpress","topic":"Laser Material Processing Techniques","field":"Engineering","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Carleton University","funders":"","keywords":"Ablation; Fluence; Laser; Laser ablation; Materials science; Pulse (music); Heat transfer; Silicon; Optics; Mechanics; Optoelectronics; Physics; Engineering","retraction":null,"screen_n_in":null,"score":{"opus":0.04445690132328452,"gpt":0.3095459751009668,"spread":0.2650890737776823,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007996808,0.00007954361,0.0001639758,0.00007802293,0.00005304896,0.00002749975,0.0003230106,0.00007083525,0.00002473183],"category_scores_gemma":[0.000161179,0.00005895724,0.00003041034,0.0001572258,0.00009521514,0.00006687038,0.00008720162,0.00007824084,0.000001210557],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000190119,"about_ca_system_score_gemma":0.00001480336,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003858613,"about_ca_topic_score_gemma":7.940125e-7,"domain_scores_codex":[0.9991181,0.00002077133,0.0002800031,0.00009063839,0.0003262555,0.0001642246],"domain_scores_gemma":[0.9991289,0.0002692582,0.00007500697,0.0003296747,0.0001741654,0.00002296604],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00004571507,0.0001672763,0.00002180108,0.006970642,0.00004303574,5.268993e-8,0.001222431,0.2115955,0.7401797,0.03354225,0.003839236,0.002372377],"study_design_scores_gemma":[0.0001150779,0.00001450111,0.000003684537,0.00008694544,0.000004618296,1.155906e-7,0.0000328559,0.3355592,0.6383876,0.02555527,0.0001927207,0.00004741221],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1239825,0.00001495991,0.8663324,0.00003644292,0.00007174247,0.001226915,0.00002944682,0.0002180633,0.008087557],"genre_scores_gemma":[0.8288053,0.000005073484,0.1709438,0.000002030058,0.00002787912,0.0001529834,0.000008076969,0.00003092136,0.00002391316],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7048228,"threshold_uncertainty_score":0.2404207,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2102377719","doi":"10.1093/amrx/abs011","title":"Homogenization of a Catalyst Layer Model for Periodically Distributed Pore Geometries in PEM Fuel Cells","year":2012,"lang":"en","type":"preprint","venue":"Applied Mathematics Research eXpress","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Ontario Tech University","funders":"","keywords":"Homogenization (climate); Microstructure; Catalysis; Materials science; Proton exchange membrane fuel cell; Layer (electronics); Chemical engineering; Composite material; Fuel cells; Nanotechnology; Chemistry; Engineering","retraction":null,"screen_n_in":null,"score":{"opus":0.09535859727517228,"gpt":0.3458496796009859,"spread":0.2504910823258136,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002262545,0.0004297338,0.0009087915,0.0007297326,0.0001052908,0.0002191961,0.002529884,0.000451945,0.00000499617],"category_scores_gemma":[0.0007950665,0.0004192865,0.0001601941,0.0008224889,0.0002103485,0.0002387897,0.003298966,0.001008063,0.000008735644],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002387969,"about_ca_system_score_gemma":0.0002790809,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005918193,"about_ca_topic_score_gemma":0.000002749078,"domain_scores_codex":[0.99569,0.00003305979,0.001116309,0.000759959,0.001397439,0.001003255],"domain_scores_gemma":[0.9955637,0.001304756,0.0003461685,0.001869202,0.0006670283,0.0002491352],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0000205257,0.0007248947,0.000001366213,0.01089661,0.00006207247,0.000003518841,0.008479182,0.7106472,0.02994681,0.2384244,0.000197205,0.0005963021],"study_design_scores_gemma":[0.0002763321,0.00001181813,7.921755e-7,0.0003009837,0.00001381048,0.000001218132,0.0001190602,0.7580594,0.01628079,0.2246033,0.00003513731,0.0002974303],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.00350435,0.0002571874,0.9932359,0.00005071107,0.0000824344,0.002080404,0.000248635,0.0001525362,0.0003878584],"genre_scores_gemma":[0.4627127,0.00004737616,0.5360495,0.000003524401,0.00003453806,0.0009323395,0.0001284683,0.00005615944,0.0000353757],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.4592084,"threshold_uncertainty_score":0.9998259,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2127845207","doi":"10.1155/amrx/2006/17027","title":"Validation of a three-dimensional vortex particle method for fluid flows","year":2006,"lang":"en","type":"article","venue":"Applied Mathematics Research eXpress","topic":"Fluid Dynamics Simulations and Interactions","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Moncton","funders":"","keywords":"Vortex; Reynolds number; Instability; Vortex tube; Mechanics; Computational fluid dynamics; Physics; Context (archaeology); Dissipative system; Dissipative particle dynamics; Statistical physics; Computer science; Algorithm; Classical mechanics; Turbulence; Geology","retraction":null,"screen_n_in":null,"score":{"opus":0.04871576024617225,"gpt":0.3446776374198155,"spread":0.2959618771736433,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006769688,0.0001046027,0.000177938,0.0001308518,0.0001139933,0.00004088025,0.0001495429,0.00006624035,0.0000838377],"category_scores_gemma":[0.00005400673,0.0001016401,0.00006306147,0.0002182814,0.00003510763,0.00009385154,0.00004736405,0.0001286744,0.00002781478],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005236537,"about_ca_system_score_gemma":0.0000197819,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003706425,"about_ca_topic_score_gemma":0.00002206175,"domain_scores_codex":[0.9987935,0.00001498744,0.0003777423,0.0001473045,0.0003780208,0.000288389],"domain_scores_gemma":[0.998642,0.0007174038,0.00003293766,0.0003253771,0.000234798,0.00004742928],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000007814078,0.0001160374,0.000003316145,0.0001277913,0.00001618469,1.542703e-7,0.00006986946,0.3851411,0.542859,0.07015359,0.001215804,0.0002893171],"study_design_scores_gemma":[0.0002338936,0.00001551902,0.00001429912,0.00002009654,0.0000091941,8.561121e-7,0.00002998641,0.7634583,0.1875758,0.04807852,0.0004874465,0.00007607642],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.274026,0.00003496431,0.7218515,0.00001583567,0.00005343447,0.000575079,0.00004031971,0.00008098058,0.003321821],"genre_scores_gemma":[0.6283178,0.000001779637,0.3711551,0.000001598262,0.00004879079,0.0002975627,0.00003570653,0.00003253388,0.0001090971],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.3783171,"threshold_uncertainty_score":0.4144765,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}