{"meta":{"query_hash":"db5dcef81af7","filters":{"venue":"The Journal of Geometric Mechanics"},"cohort_total":11,"direct_labels_cover":0,"predictions_cover":11,"exported":11,"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/db5dcef81af7","api":"https://metacan.xera.ac/api/v1/cohort?venue=The+Journal+of+Geometric+Mechanics"},"results":[{"id":"W1977317363","doi":"10.3934/jgm.2012.4.111","title":"Symmetries and reduction of multiplicative 2-forms","year":2012,"lang":"en","type":"preprint","venue":"The Journal of Geometric Mechanics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"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":"Conselho Nacional de Desenvolvimento Científico e Tecnológico; University of Toronto","keywords":"Homogeneous space; Infinitesimal; Multiplicative function; Mathematics; Dirac (video compression format); Pure mathematics; Reduction (mathematics); Lie group; Group (periodic table); Poisson distribution; Algebra over a field; Mathematical analysis; Physics; Geometry; Quantum mechanics","score_opus":0.04887296224687916,"score_gpt":0.31358071122833214,"score_spread":0.264707748981453,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977317363","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":[0.88086444,0.0009513271,0.06643307,0.0009964888,0.0004091476,0.00007666647,0.00015907128,0.00013884608,0.049970943],"genre_scores_gemma":[0.97092474,0.0004427052,0.008861166,0.00020135875,0.00020240109,0.000044930366,0.00012704878,0.000048478378,0.019147208],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993387,0.00012225249,0.00004197855,0.00013398234,0.00024167866,0.00012144684],"domain_scores_gemma":[0.99972695,0.000047269074,0.000052974912,0.000067009176,0.000047717294,0.00005810371],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00049810176,0.00055238284,0.00043952838,0.00083765085,0.0011630274,0.0017839998,0.00070824486,0.000724289,0.0052986294],"category_scores_gemma":[0.00071637164,0.00029243928,0.0008893454,0.00047994874,0.0023075796,0.0029176984,0.002507986,0.0010266898,0.00062528177],"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":[0.000016017475,0.000026364416,0.00035078247,0.000021996177,0.000006681135,0.00024054864,0.00071061065,0.00085177814,0.0030273315,0.98918134,0.0003770035,0.0051895566],"study_design_scores_gemma":[0.000017975211,0.000058260797,0.0005709769,0.00000950405,0.000004223297,0.00045485573,0.00030854723,0.0031258692,0.0020462272,0.9870467,0.0063403766,0.000016436614],"about_ca_topic_score_codex":0.0005108777,"about_ca_topic_score_gemma":0.00037474954,"teacher_disagreement_score":0.0052986294,"about_ca_system_score_codex":0.00064722094,"about_ca_system_score_gemma":0.00039547659,"threshold_uncertainty_score":0.017725706},"labels":[],"label_agreement":null},{"id":"W2221020314","doi":"10.3934/jgm.2015.7.483","title":"Canonoid and Poissonoid transformations, symmetries and biHamiltonian structures","year":2015,"lang":"en","type":"article","venue":"The Journal of Geometric Mechanics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Integrable system; Homogeneous space; Harmonic oscillator; Symplectic geometry; Mathematics; Euler's formula; Motion (physics); Rigid body; Characterization (materials science); Poisson bracket; Pure mathematics; Poisson manifold; Classical mechanics; Physics; Mathematical analysis; Geometry; Quantum mechanics; Lie algebra","score_opus":0.015971931671156597,"score_gpt":0.24211438526659812,"score_spread":0.22614245359544152,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2221020314","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":[0.3833179,0.0015845469,0.4519076,0.0019730746,0.00062438543,0.00014405568,0.00030077074,0.00032870748,0.15981904],"genre_scores_gemma":[0.95192677,0.0005003186,0.029804543,0.0002883611,0.00018988494,0.00010381069,0.00014997632,0.000077789184,0.016958643],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997782,0.000046833364,0.000014433694,0.000033906454,0.000084914005,0.000041802974],"domain_scores_gemma":[0.99966323,0.000056568722,0.00007342974,0.00006748858,0.00006522026,0.00007407634],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030042697,0.00039459686,0.00022608877,0.0009142769,0.0009842536,0.000908381,0.0005553915,0.0005757882,0.0052990364],"category_scores_gemma":[0.000768917,0.00011860484,0.00044259295,0.0004261701,0.0018757337,0.0015199474,0.0012573765,0.0007041435,0.00072495255],"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":[0.0000055236947,0.000009304924,0.00016430058,0.000015884916,0.0000020443188,0.00008903143,0.00017262058,0.00073991023,0.0025412075,0.9926797,0.00044984024,0.0031305728],"study_design_scores_gemma":[0.0000068586755,0.000035039826,0.00039321173,0.000010243156,0.0000032721862,0.0002795147,0.00015862407,0.011702315,0.0020750535,0.97633624,0.008985847,0.000013672703],"about_ca_topic_score_codex":0.0009499024,"about_ca_topic_score_gemma":0.0005778846,"teacher_disagreement_score":0.0052990364,"about_ca_system_score_codex":0.0005710952,"about_ca_system_score_gemma":0.0003327232,"threshold_uncertainty_score":0.017727017},"labels":[],"label_agreement":null},{"id":"W2316330656","doi":"10.3934/jgm.2014.6.441","title":"The Hamilton-Jacobi equation,integrability, and nonholonomicsystems","year":2014,"lang":"en","type":"article","venue":"The Journal of Geometric Mechanics","topic":"Control and Dynamics of Mobile Robots","field":"Engineering","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Nonholonomic system; Integrable system; Conservation law; Hamilton–Jacobi equation; Symmetry (geometry); Mathematical physics; Mathematics; Mathematical analysis; Classical mechanics; Physics; Computer science; Robot; Geometry; Artificial intelligence","score_opus":0.00809553998966959,"score_gpt":0.18467807241964607,"score_spread":0.17658253242997649,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2316330656","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":[0.287477,0.0078924075,0.56031674,0.012044944,0.00076094345,0.00008629183,0.00022007321,0.00021418768,0.13098739],"genre_scores_gemma":[0.9674886,0.0020702083,0.016838351,0.00033994718,0.00027992536,0.000046511974,0.00006923882,0.000040975647,0.0128262425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997706,0.00004398572,0.000013612348,0.000030880277,0.000105373976,0.00003566634],"domain_scores_gemma":[0.9995647,0.00019231258,0.000085423926,0.0000589954,0.000055737382,0.000042718828],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007097214,0.00033018357,0.00051081047,0.0005455797,0.0006911439,0.0010656127,0.0008558754,0.0007995947,0.0029449232],"category_scores_gemma":[0.0013628716,0.0001776594,0.0004692088,0.000389636,0.0024775278,0.002608017,0.0013408535,0.0014966989,0.00015565696],"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":[0.0000022812628,0.000009870533,0.00014034203,0.00001955074,0.0000023744126,0.000054804277,0.000056038683,0.0020587032,0.00032425174,0.9950765,0.00029514672,0.0019602138],"study_design_scores_gemma":[0.000005233149,0.000006666829,0.00024115163,0.0000075433054,0.0000019609174,0.00006998979,0.000033376964,0.014884621,0.00012371586,0.98346174,0.001159331,0.0000046991895],"about_ca_topic_score_codex":0.0019896405,"about_ca_topic_score_gemma":0.0015449529,"teacher_disagreement_score":0.0029449232,"about_ca_system_score_codex":0.0008984503,"about_ca_system_score_gemma":0.00058096735,"threshold_uncertainty_score":0.009851754},"labels":[],"label_agreement":null},{"id":"W2320087910","doi":"10.3934/jgm.2011.3.261","title":"Euler-Poincaré reduction for systems with configuration space isotropy","year":2011,"lang":"en","type":"article","venue":"The Journal of Geometric Mechanics","topic":"Control and Stability of Dynamical Systems","field":"Engineering","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":"Wilfrid Laurier University; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Wilfrid Laurier University","keywords":"Isotropy; Homogeneous space; Euler's formula; Euler equations; Reduction (mathematics); Space (punctuation); Phase space; Mathematics; Mathematical analysis; Lagrangian; Variational principle; Equations of motion; Motion (physics); Configuration space; State space; Euler angles; Classical mechanics; Physics; Geometry; Computer science; Quantum mechanics","score_opus":0.018408258096834246,"score_gpt":0.1886679382976325,"score_spread":0.17025968020079826,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2320087910","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4880473,0.0010151683,0.45262364,0.0014348172,0.00024712965,0.00012235562,0.0002726961,0.0002145543,0.056022286],"genre_scores_gemma":[0.96503377,0.00042226008,0.025621919,0.000086274944,0.00010314076,0.00007352842,0.00020513065,0.000063181826,0.008390785],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997185,0.00005771894,0.000014329598,0.000033056083,0.00013083014,0.000045532815],"domain_scores_gemma":[0.99981767,0.000040886334,0.00004224065,0.000038979724,0.00003077827,0.000029505602],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040512055,0.0004586024,0.00042673576,0.00070983515,0.00058893004,0.000917723,0.00050834083,0.0005151063,0.0027409731],"category_scores_gemma":[0.0009297277,0.0002499593,0.00068996096,0.0002721873,0.0015402011,0.0014349245,0.0015174847,0.0009759203,0.00034050466],"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":[0.0000108854765,0.000012549939,0.00031229111,0.000023325738,0.000009681374,0.00012576088,0.00013245172,0.018836835,0.002699656,0.9745521,0.00035191383,0.0029325567],"study_design_scores_gemma":[0.0000162707,0.000034279812,0.0004777732,0.000011899097,0.0000067753313,0.00011335638,0.00007559903,0.14374113,0.0012041295,0.8523938,0.0019089216,0.00001603789],"about_ca_topic_score_codex":0.0014121252,"about_ca_topic_score_gemma":0.0012381886,"teacher_disagreement_score":0.0027409731,"about_ca_system_score_codex":0.0007627492,"about_ca_system_score_gemma":0.0006877322,"threshold_uncertainty_score":0.009169459},"labels":[],"label_agreement":null},{"id":"W2329882697","doi":"10.3934/jgm.2010.2.397","title":"Geometric Jacobian linearization and LQR theory","year":2010,"lang":"en","type":"article","venue":"The Journal of Geometric Mechanics","topic":"Control and Dynamics of Mobile Robots","field":"Engineering","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"Government of Ontario","keywords":"Controllability; Mathematics; Linearization; Jacobian matrix and determinant; Lyapunov function; Affine transformation; Feedback linearization; Control theory (sociology); Tangent space; Tangent; Trajectory; Linear system; Applied mathematics; Nonlinear system; Mathematical analysis; Computer science; Pure mathematics; Geometry; Control (management)","score_opus":0.0039753255716175025,"score_gpt":0.18157597764966824,"score_spread":0.17760065207805073,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2329882697","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.015445717,0.0026768786,0.95070106,0.0008188905,0.00014185978,0.000030374285,0.00006361822,0.0004284215,0.029693147],"genre_scores_gemma":[0.85971683,0.0047335858,0.096332155,0.0003900747,0.00074569526,0.00017062323,0.0002591118,0.00018916409,0.037462857],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996598,0.00009647891,0.000011613612,0.00006589871,0.00013133748,0.000034965815],"domain_scores_gemma":[0.9998196,0.000053264892,0.000047210742,0.000024177776,0.000043602002,0.000012222054],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038369978,0.0005203729,0.0004150041,0.0005929218,0.00029631512,0.00069435936,0.00049869413,0.00039816677,0.0035381299],"category_scores_gemma":[0.0005829267,0.00017795898,0.0004406605,0.000331254,0.0014698012,0.0009463928,0.0009727219,0.00079158123,0.0007298458],"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":[0.00001717084,0.000019467318,0.00015447124,0.00012535282,0.000018528957,0.00012828497,0.00014402065,0.08550852,0.004966607,0.8767437,0.0016785463,0.030495463],"study_design_scores_gemma":[0.000014705301,0.00016053524,0.00045876563,0.00002810891,0.000012886956,0.00017442547,0.00008752448,0.3601695,0.0021962582,0.6237794,0.012884318,0.000033494955],"about_ca_topic_score_codex":0.0014532572,"about_ca_topic_score_gemma":0.0006736921,"teacher_disagreement_score":0.0035381299,"about_ca_system_score_codex":0.00072637846,"about_ca_system_score_gemma":0.0004171316,"threshold_uncertainty_score":0.011836231},"labels":[],"label_agreement":null},{"id":"W2523837875","doi":"10.3934/jgm.2016.8.99","title":"Linearisation of tautological control systems","year":2016,"lang":"en","type":"article","venue":"The Journal of Geometric Mechanics","topic":"Homotopy and Cohomology in Algebraic Topology","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":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Invariant (physics); Control (management); Computer science; Control theory (sociology); Point (geometry); Character (mathematics); Dynamical systems theory; Control system; Mathematics; Physics; Artificial intelligence; Engineering; Geometry","score_opus":0.039803443879180236,"score_gpt":0.288569152807813,"score_spread":0.24876570892863276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2523837875","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":[0.04649407,0.00083956553,0.8994959,0.0012638151,0.0002848748,0.0000831386,0.00012585272,0.0007439427,0.05066878],"genre_scores_gemma":[0.8955505,0.0010703298,0.077858515,0.00064547546,0.00045077957,0.00020595643,0.0002531735,0.0002243701,0.023740984],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984664,0.00040204742,0.000089269546,0.00039660052,0.00043401762,0.00021174754],"domain_scores_gemma":[0.9988166,0.00033566463,0.00017196588,0.0002768733,0.00031864824,0.00008031825],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013864705,0.000678036,0.00040791865,0.00091014063,0.00080123794,0.0020367545,0.0008257571,0.0009101112,0.009772804],"category_scores_gemma":[0.002431417,0.00025589904,0.0006582142,0.00047244894,0.004273945,0.0033827382,0.0024017743,0.0024717036,0.0012465157],"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":[0.000027090027,0.000016334876,0.00011997665,0.00006921165,0.000011425463,0.00011479706,0.00038573716,0.008574369,0.0037129696,0.97281444,0.0006949569,0.01345864],"study_design_scores_gemma":[0.00002194438,0.00011715836,0.00018467859,0.000037135418,0.000012885066,0.00015276659,0.00017955298,0.045928996,0.005819595,0.93229264,0.015224766,0.000027873924],"about_ca_topic_score_codex":0.000674788,"about_ca_topic_score_gemma":0.00030494775,"teacher_disagreement_score":0.009772804,"about_ca_system_score_codex":0.001454272,"about_ca_system_score_gemma":0.00065900164,"threshold_uncertainty_score":0.032693326},"labels":[],"label_agreement":null},{"id":"W2756767958","doi":"10.3934/jgm.2018018","title":"A coordinate-free theory of virtual holonomic constraints","year":2018,"lang":"en","type":"article","venue":"The Journal of Geometric Mechanics","topic":"Dynamics and Control of Mechanical Systems","field":"Engineering","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Holonomic constraints; Nonholonomic system; Connection (principal bundle); Mathematics; Affine connection; Affine transformation; Holonomic; Underactuation; Constraint (computer-aided design); Double pendulum; Pendulum; Inverted pendulum; Control theory (sociology); Applied mathematics; Computer science; Control (management); Pure mathematics; Classical mechanics; Geometry; Robot; Nonlinear system; Mobile robot; Physics","score_opus":0.009241675291334765,"score_gpt":0.1954749192931905,"score_spread":0.18623324400185573,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2756767958","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":[0.023157112,0.0006116285,0.9202993,0.0008240344,0.0002826339,0.00004115385,0.00010828035,0.00016958447,0.054506272],"genre_scores_gemma":[0.86222315,0.0008857394,0.1064139,0.00046335306,0.00044751784,0.00023831839,0.00016964557,0.00016088855,0.028997552],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99951017,0.00011724738,0.000024734887,0.0000847104,0.00021176158,0.00005138985],"domain_scores_gemma":[0.9997248,0.000057074063,0.000051888874,0.000057110217,0.00006557154,0.00004363094],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000501624,0.0006395424,0.00039400713,0.0005527597,0.00071756734,0.0015015776,0.0011142285,0.00076198345,0.0043695],"category_scores_gemma":[0.00083370757,0.00033007248,0.0005554296,0.0002760605,0.002474641,0.0022355618,0.0019325486,0.0011035342,0.0005779066],"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":[0.000003180179,0.0000026486962,0.00003099977,0.000016532895,0.0000035679855,0.000047328278,0.00004977522,0.00802439,0.000534188,0.9882423,0.00037647216,0.0026686215],"study_design_scores_gemma":[0.000016402264,0.00007298378,0.00019795031,0.00003220872,0.000010813106,0.00016145667,0.00007299797,0.12555139,0.00096641015,0.8436004,0.029290581,0.00002645529],"about_ca_topic_score_codex":0.0008776723,"about_ca_topic_score_gemma":0.0008434179,"teacher_disagreement_score":0.0043695,"about_ca_system_score_codex":0.0008003768,"about_ca_system_score_gemma":0.00075742893,"threshold_uncertainty_score":0.014617443},"labels":[],"label_agreement":null},{"id":"W2760932547","doi":"10.3934/jgm.2017017","title":"Instability criterion for periodic solutions with spatio-temporal symmetries in Hamiltonian systems","year":2017,"lang":"en","type":"article","venue":"The Journal of Geometric Mechanics","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Homogeneous space; Linear subspace; Mathematics; Subspace topology; Equivariant map; Hamiltonian (control theory); Periodic boundary conditions; Boundary value problem; Hamiltonian system; Pure mathematics; Instability; Mathematical physics; Symmetry group; Mathematical analysis; Lagrangian; Physics; Quantum mechanics; Geometry; Mathematical optimization","score_opus":0.028860960923215582,"score_gpt":0.2622210747070685,"score_spread":0.23336011378385293,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2760932547","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":[0.86211497,0.00043650472,0.1256483,0.00063750154,0.000032652297,0.000047018093,0.00011409332,0.00007636144,0.010892521],"genre_scores_gemma":[0.99385226,0.000098421064,0.004287291,0.000028068302,0.000023022898,0.000035276014,0.000047184043,0.000017676308,0.0016107875],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998729,0.00003548792,0.000009427967,0.000020911073,0.000037391103,0.000023877963],"domain_scores_gemma":[0.99957603,0.0001333633,0.0001105202,0.000022119159,0.0000767001,0.00008122604],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039979292,0.00035340252,0.00032190667,0.0007974283,0.0006797095,0.00076618727,0.00050471467,0.00042482142,0.0020910178],"category_scores_gemma":[0.001340434,0.00014339694,0.0003607439,0.00019919187,0.0011398813,0.0008580695,0.00106817,0.000380978,0.00015006431],"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":[0.00019335211,0.00005828972,0.006321023,0.00015123587,0.00009257092,0.00067506597,0.00066171424,0.09660491,0.047531016,0.83747715,0.00095864595,0.009275102],"study_design_scores_gemma":[0.00002858498,0.0001133062,0.0022478523,0.00002354736,0.000018016426,0.00019188735,0.0003184638,0.7035693,0.0052659856,0.28742316,0.00076341664,0.000036503265],"about_ca_topic_score_codex":0.0009934547,"about_ca_topic_score_gemma":0.0005405121,"teacher_disagreement_score":0.0020910178,"about_ca_system_score_codex":0.00054323016,"about_ca_system_score_gemma":0.00038664296,"threshold_uncertainty_score":0.0069951415},"labels":[],"label_agreement":null},{"id":"W2916084815","doi":"10.3934/jgm.2020005","title":"De Donder form for second order gravity","year":2020,"lang":"en","type":"preprint","venue":"The Journal of Geometric Mechanics","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Diffeomorphism; Mathematics; Lagrangian; Legendre polynomials; Invariant (physics); Differential operator; Legendre transformation; Mathematical analysis; Applied mathematics; Mathematical physics","score_opus":0.06732294640670698,"score_gpt":0.3169754197884658,"score_spread":0.24965247338175878,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2916084815","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":[0.43353856,0.0021179344,0.30200043,0.0037958822,0.0010878143,0.0000907264,0.00026521005,0.00037343195,0.25672996],"genre_scores_gemma":[0.92404246,0.00075117266,0.026445413,0.00077748444,0.00033785656,0.00009673523,0.00015101914,0.00012650822,0.04727139],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997857,0.000050787123,0.000008342036,0.00004790943,0.000070434515,0.00003676087],"domain_scores_gemma":[0.9998306,0.000027192451,0.000028112361,0.000036740897,0.000044275523,0.00003310756],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004599539,0.00048825511,0.00032700985,0.0009905815,0.00064178725,0.0012928002,0.0004099915,0.0007007913,0.00326671],"category_scores_gemma":[0.00065993844,0.0001238483,0.00039127097,0.0004968205,0.0018932807,0.0015630703,0.0014447861,0.001074962,0.0005101745],"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":[0.0000024203537,0.000004336016,0.00005542832,0.00000797828,0.0000010849305,0.000026069569,0.00006349994,0.00032862488,0.0008071326,0.99685884,0.00046360533,0.0013810789],"study_design_scores_gemma":[0.0000053597037,0.000027278278,0.00027325054,0.00000677521,0.0000027070655,0.00022608633,0.000051359886,0.0064804354,0.0006031715,0.98203087,0.010280176,0.000012620825],"about_ca_topic_score_codex":0.0007112242,"about_ca_topic_score_gemma":0.0005920392,"teacher_disagreement_score":0.00326671,"about_ca_system_score_codex":0.0007785818,"about_ca_system_score_gemma":0.0005532185,"threshold_uncertainty_score":0.010928273},"labels":[],"label_agreement":null},{"id":"W2969895083","doi":"10.3934/jgm.2019017","title":"Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies","year":2019,"lang":"en","type":"article","venue":"The Journal of Geometric Mechanics","topic":"Elasticity and Material Modeling","field":"Engineering","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Lie algebroid; Homogeneity (statistics); Mathematics; Double groupoid; Pure mathematics; Relation (database); Computer science; Lie algebra; Statistics","score_opus":0.009961330840407661,"score_gpt":0.1943156866872517,"score_spread":0.18435435584684404,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2969895083","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":[0.15774919,0.0050767376,0.78220946,0.0010826938,0.00032752397,0.000072930714,0.0001480986,0.00013760483,0.053195823],"genre_scores_gemma":[0.8541309,0.003635835,0.12646194,0.00022357181,0.0008378009,0.00016347335,0.0001679611,0.00009133403,0.01428714],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999345,0.00027284364,0.000034599,0.00013031787,0.00016320041,0.000054051252],"domain_scores_gemma":[0.999298,0.00028512176,0.00012836193,0.00009584855,0.000107071064,0.00008550912],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00091377134,0.00066075474,0.000675819,0.0022830085,0.00094815507,0.0015176646,0.0006718644,0.00075926346,0.0019428993],"category_scores_gemma":[0.0018388666,0.00032655936,0.0007918209,0.0014705593,0.0047290423,0.0024354279,0.0017916928,0.0013216352,0.0003545009],"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":[0.000007921881,0.000005322162,0.00017788172,0.00003744064,0.000009683189,0.000103071165,0.00023398372,0.006112615,0.0015329004,0.986426,0.000251823,0.005101284],"study_design_scores_gemma":[0.000004595802,0.00005723057,0.00036691403,0.00002290759,0.000007988168,0.00018298994,0.00016718263,0.026936121,0.00080456975,0.96398973,0.007445739,0.00001411806],"about_ca_topic_score_codex":0.0011912351,"about_ca_topic_score_gemma":0.00058386166,"teacher_disagreement_score":0.0022830085,"about_ca_system_score_codex":0.0008306508,"about_ca_system_score_gemma":0.00039301507,"threshold_uncertainty_score":0.006499648},"labels":[],"label_agreement":null},{"id":"W4313572090","doi":"10.3934/jgm.2023006","title":"A family of special case sequential warped-product manifolds","year":2023,"lang":"en","type":"article","venue":"The Journal of Geometric Mechanics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; Simon Fraser University","funders":"","keywords":"Product (mathematics); Mathematics; Pure mathematics; Computer science; Geometry","score_opus":0.07276558490209249,"score_gpt":0.30502299075111644,"score_spread":0.23225740584902393,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4313572090","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":[0.9051024,0.0002825181,0.06447056,0.0004800756,0.000091536866,0.00006071135,0.000091499955,0.00014167817,0.029279057],"genre_scores_gemma":[0.97940457,0.00012420473,0.012486103,0.000073872376,0.00005290771,0.000054969583,0.00012467538,0.000028494953,0.007650269],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997136,0.000042505973,0.000018882536,0.00009087107,0.00007345662,0.00006080999],"domain_scores_gemma":[0.9997017,0.000026227572,0.000083135434,0.00004535311,0.00005976998,0.00008375832],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003203569,0.0005722353,0.0004476492,0.0010923877,0.0016265636,0.0011795065,0.0006974848,0.0011499483,0.0031766891],"category_scores_gemma":[0.00077737786,0.00033745752,0.00069150893,0.00045194133,0.0016307002,0.0016457904,0.0016463319,0.00087971723,0.00025197497],"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":[0.00005343374,0.000035168316,0.0022134294,0.000045622386,0.00003303008,0.0018233785,0.0006042719,0.008259949,0.008285137,0.96936494,0.0014328987,0.007848779],"study_design_scores_gemma":[0.00007073937,0.00023139089,0.0052923015,0.0000499714,0.000040870662,0.00486548,0.00087575626,0.13743705,0.009051592,0.82230055,0.01970368,0.0000805713],"about_ca_topic_score_codex":0.000877935,"about_ca_topic_score_gemma":0.00069830025,"teacher_disagreement_score":0.0031766891,"about_ca_system_score_codex":0.0008259742,"about_ca_system_score_gemma":0.00043873367,"threshold_uncertainty_score":0.010627091},"labels":[],"label_agreement":null}]}