{"meta":{"query_hash":"263c74c3f9c5","filters":{"venue":"Memoirs of the American Mathematical Society"},"cohort_total":28,"direct_labels_cover":0,"predictions_cover":28,"exported":28,"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/263c74c3f9c5","api":"https://metacan.xera.ac/api/v1/cohort?venue=Memoirs+of+the+American+Mathematical+Society"},"results":[{"id":"W1538797647","doi":"10.1090/memo/1155","title":"An Inverse Spectral Problem Related to the Geng–Xue Two-Component Peakon Equation","year":2016,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Biorthogonal system; Peakon; Inverse; Inverse problem; Generalization; Boundary value problem; Initial value problem; Inverse scattering problem; Type (biology); Cauchy distribution","score_opus":0.030440872956636656,"score_gpt":0.30127965563034564,"score_spread":0.270838782673709,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1538797647","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":[0.33270967,0.00063698564,0.6266732,0.0032679639,0.00047866366,0.00010309543,0.00009792515,0.00017415741,0.035858307],"genre_scores_gemma":[0.8464623,0.00042915784,0.124266565,0.0006440401,0.00022243489,0.0001855398,0.00013063932,0.00014258006,0.027516847],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998272,0.000053455216,0.0000070129418,0.000024687342,0.000053318407,0.00003436453],"domain_scores_gemma":[0.99967015,0.0001590392,0.000036271063,0.000025979749,0.000055876535,0.00005268945],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006677395,0.0004483797,0.0005873064,0.0006957302,0.00071411923,0.00096405327,0.0007596717,0.001547659,0.0026787666],"category_scores_gemma":[0.0023809501,0.0002634914,0.0006173827,0.00043036588,0.001724492,0.0013508932,0.001644174,0.0016619791,0.00023590648],"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":[0.000067625915,0.000046233567,0.0006024548,0.000112994276,0.000023327071,0.00044132114,0.0003045746,0.06808778,0.0035219654,0.91539603,0.0017114205,0.009684209],"study_design_scores_gemma":[0.000039851955,0.000037395697,0.00029178694,0.000030463203,0.000015215537,0.00016157799,0.00018519709,0.6389472,0.0022548602,0.3554186,0.002582333,0.000035482946],"about_ca_topic_score_codex":0.0015339406,"about_ca_topic_score_gemma":0.0011599207,"teacher_disagreement_score":0.0026787666,"about_ca_system_score_codex":0.0005993236,"about_ca_system_score_gemma":0.0010459293,"threshold_uncertainty_score":0.00896132},"labels":[],"label_agreement":null},{"id":"W1649578155","doi":"10.1090/memo/1184","title":"On operads, bimodules and analytic functors","year":2017,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université du Québec à Montréal","funders":"Engineering and Physical Sciences Research Council; National Research Council Canada; U.S. Air Force; John Templeton Foundation","keywords":"Functor; Mathematics; Pure mathematics; Algebra over a field","score_opus":0.027226486400222724,"score_gpt":0.3167799718817704,"score_spread":0.28955348548154763,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1649578155","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":[0.046419393,0.0099426415,0.68307745,0.0064578657,0.0021248634,0.000114593735,0.0010293877,0.0012044056,0.24962933],"genre_scores_gemma":[0.62940145,0.009699335,0.22934178,0.004401537,0.0025069593,0.0005009263,0.0015731102,0.0012355199,0.121339485],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980872,0.0005882851,0.00012125971,0.00031501427,0.00047477905,0.00041347469],"domain_scores_gemma":[0.9984427,0.000658842,0.0001373664,0.00020003892,0.0003599887,0.00020106198],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026194332,0.0016834008,0.0010134522,0.0048411577,0.0034363645,0.004900276,0.0017605687,0.0018093435,0.014853961],"category_scores_gemma":[0.003056737,0.00072057126,0.001967975,0.0035274322,0.007965412,0.012970217,0.007488331,0.0045095463,0.0037758509],"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":[0.000004239611,0.000007308504,0.000056100653,0.000027051592,0.000002685481,0.000059614136,0.00024656008,0.00016164916,0.00025391628,0.9958615,0.0009406105,0.0023787678],"study_design_scores_gemma":[0.0000035995677,0.000014796571,0.00013133945,0.00002603813,0.000006370812,0.000105421044,0.00019484827,0.0010851079,0.0004860047,0.96868783,0.029243996,0.000014635823],"about_ca_topic_score_codex":0.0036803724,"about_ca_topic_score_gemma":0.0026686608,"teacher_disagreement_score":0.014853961,"about_ca_system_score_codex":0.0031661144,"about_ca_system_score_gemma":0.0010821971,"threshold_uncertainty_score":0.04969144},"labels":[],"label_agreement":null},{"id":"W1828785978","doi":"10.1090/memo/1233","title":"Covering Dimension of C*-Algebras and 2-Coloured Classification","year":2019,"lang":"en","type":"preprint","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":35,"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 Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Engineering and Physical Sciences Research Council; Deutsche Forschungsgemeinschaft; Alexander von Humboldt-Stiftung; National Science Foundation","keywords":"Mathematics; Separable space; Morita equivalence; Unital; Homotopy; Pure mathematics; Homomorphism; Equivalence (formal languages); Isomorphism (crystallography); Unitary state; Simple (philosophy); TRACE (psycholinguistics); Algebra over a field; Mathematical analysis","score_opus":0.046006862346262264,"score_gpt":0.34627392439297966,"score_spread":0.3002670620467174,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1828785978","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":[0.34853625,0.0037890985,0.3318462,0.0036032805,0.0017267637,0.00012549126,0.0014626957,0.0017366122,0.3071736],"genre_scores_gemma":[0.9408616,0.00070377305,0.02994996,0.0006536805,0.00043818864,0.00008250754,0.0006613751,0.00023968112,0.026409343],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979546,0.00039095464,0.000114396724,0.0004665312,0.00053050485,0.0005429803],"domain_scores_gemma":[0.99824,0.0005782082,0.00018299677,0.00028326095,0.00039813618,0.00031739488],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013727472,0.0005941669,0.0005779634,0.002717078,0.0022144385,0.0048429454,0.001041822,0.001089305,0.011887501],"category_scores_gemma":[0.0022512614,0.00034581518,0.0011912885,0.0018512955,0.003460242,0.0075336806,0.0032934726,0.002151459,0.0017761817],"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":[0.000011786168,0.000009519366,0.00016418003,0.000022516457,0.0000044870094,0.000046066183,0.000231288,0.00031314252,0.00032823812,0.9938007,0.0009587713,0.0041092914],"study_design_scores_gemma":[0.000007767011,0.00001615071,0.00038574447,0.000018997547,0.000007776663,0.000111102665,0.000120426106,0.0023272468,0.0009939757,0.98313415,0.012851855,0.000024831359],"about_ca_topic_score_codex":0.0032141595,"about_ca_topic_score_gemma":0.0015652291,"teacher_disagreement_score":0.011887501,"about_ca_system_score_codex":0.002829825,"about_ca_system_score_gemma":0.0009143789,"threshold_uncertainty_score":0.039767623},"labels":[],"label_agreement":null},{"id":"W1869058603","doi":"10.1090/memo/1251","title":"Spinors on Singular Spaces and the Topology of Causal Fermion Systems","year":2019,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Noncommutative and Quantum Gravity Theories","field":"Physics and Astronomy","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":"McGill University","funders":"","keywords":"Spinor; Mathematics; Singularity; Minkowski space; Topology (electrical circuits); Fermion; Homeomorphism (graph theory); Euclidean space; Pure mathematics; Mathematical analysis; Mathematical physics; Physics; Quantum mechanics; Discrete mathematics","score_opus":0.007220673884181456,"score_gpt":0.25801657768724473,"score_spread":0.25079590380306327,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1869058603","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":[0.80000013,0.0026078178,0.10188783,0.0029476197,0.00030683604,0.000030293999,0.00015504145,0.00016571341,0.091898784],"genre_scores_gemma":[0.989678,0.0004926724,0.0056483014,0.000086434746,0.00009539257,0.000012573213,0.000044297318,0.000012838585,0.0039293864],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997241,0.00011382112,0.000015247363,0.000032688324,0.00007222109,0.00004194663],"domain_scores_gemma":[0.9994185,0.00017365307,0.00011474528,0.00008064381,0.000084915526,0.0001275127],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065849535,0.00031374535,0.00022085974,0.0017178106,0.0011567611,0.002170522,0.00036804363,0.0007049251,0.002372018],"category_scores_gemma":[0.0012659541,0.00017740228,0.00026410638,0.00068565697,0.0040933923,0.0030272305,0.001058916,0.00081235886,0.00017304595],"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":[0.0000026528523,0.0000018933875,0.00006721633,0.0000043211967,0.0000010040488,0.000027245196,0.00012557556,0.00042872992,0.00023979008,0.9983955,0.0000947668,0.0006111653],"study_design_scores_gemma":[0.0000033121062,0.000006812145,0.00015669817,0.000005432048,0.0000013397109,0.000040159874,0.00012488921,0.0028323992,0.00010451228,0.9950906,0.001629741,0.0000040421637],"about_ca_topic_score_codex":0.00075739255,"about_ca_topic_score_gemma":0.00058813853,"teacher_disagreement_score":0.002372018,"about_ca_system_score_codex":0.00085966784,"about_ca_system_score_gemma":0.00036265614,"threshold_uncertainty_score":0.007935226},"labels":[],"label_agreement":null},{"id":"W1925615832","doi":"10.1090/memo/1295","title":"Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields","year":2020,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Combinatorics; Integer (computer science); Order (exchange); Abelian variety; Abelian group; Function field; Endomorphism; Prime (order theory); Prime power; Additive group; Dimension (graph theory); Group (periodic table); Field (mathematics); Pure mathematics","score_opus":0.028087918706912803,"score_gpt":0.2850464271333005,"score_spread":0.2569585084263877,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1925615832","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":[0.9548642,0.00034072858,0.010029336,0.000322058,0.000055009004,0.000023837,0.00007086303,0.00018291344,0.03411099],"genre_scores_gemma":[0.98974824,0.00019724756,0.0022003422,0.00004114602,0.00006637798,0.000015753707,0.00010961982,0.000070889495,0.0075503048],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99956256,0.00004710871,0.000017795546,0.00007642394,0.0001294422,0.00016669137],"domain_scores_gemma":[0.99958116,0.00009596077,0.00008841745,0.000056869085,0.000056691904,0.00012090778],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042447794,0.0012443886,0.0006239759,0.0027343729,0.0015148801,0.0026084932,0.0010877205,0.0008993697,0.006472704],"category_scores_gemma":[0.0013582206,0.0003980529,0.0006859001,0.0011454805,0.0026358739,0.0032682957,0.001809869,0.0014739746,0.00078787084],"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":[0.00018126918,0.00010350069,0.003457492,0.00009839254,0.000025535628,0.0010054652,0.0017316724,0.01053913,0.011083079,0.9572982,0.0013364721,0.013139703],"study_design_scores_gemma":[0.0001383319,0.0003087596,0.011083325,0.00012306157,0.00007297488,0.00131744,0.0013576419,0.067150496,0.01732466,0.88375866,0.017184094,0.00018054171],"about_ca_topic_score_codex":0.0023056956,"about_ca_topic_score_gemma":0.0019193608,"teacher_disagreement_score":0.006472704,"about_ca_system_score_codex":0.0021891606,"about_ca_system_score_gemma":0.0005804039,"threshold_uncertainty_score":0.021653354},"labels":[],"label_agreement":null},{"id":"W2005032241","doi":"10.1090/s0065-9266-10-00583-1","title":"Locally toric manifolds and singular Bohr-Sommerfeld leaves","year":2010,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":34,"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":"Mathematics; Bohr model; Pure mathematics; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.018383495383627674,"score_gpt":0.2718756104846396,"score_spread":0.25349211510101194,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2005032241","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":[0.87094563,0.0008486077,0.07593785,0.0012081461,0.00012297372,0.000025314892,0.00007700814,0.00013306524,0.050701346],"genre_scores_gemma":[0.98915184,0.00023892234,0.006762726,0.00006312905,0.0000753153,0.000012413197,0.000036762394,0.000023042316,0.003635819],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994949,0.00012381865,0.000029156497,0.000083738996,0.00018647072,0.00008187535],"domain_scores_gemma":[0.99952674,0.00012987514,0.000100123325,0.00007608459,0.00007784439,0.00008937305],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00064397795,0.00030910008,0.00042602408,0.0016883629,0.0012764352,0.0017371855,0.00043610547,0.00065543235,0.0027208948],"category_scores_gemma":[0.0014795569,0.00017707307,0.00047854855,0.00073837856,0.004537219,0.0039881016,0.0016410062,0.0010506139,0.0001792143],"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":[0.000008770582,0.000005336374,0.00029384077,0.000015790767,0.0000032253445,0.000069453934,0.00024112042,0.000772684,0.0014391533,0.9955909,0.00019809279,0.0013615687],"study_design_scores_gemma":[0.0000047254216,0.00001776054,0.001041595,0.000012331614,0.0000055822306,0.0001544145,0.00031993474,0.007316172,0.0012097148,0.9884632,0.0014392795,0.00001525344],"about_ca_topic_score_codex":0.0008409759,"about_ca_topic_score_gemma":0.00074809324,"teacher_disagreement_score":0.0027208948,"about_ca_system_score_codex":0.0009424817,"about_ca_system_score_gemma":0.0002963733,"threshold_uncertainty_score":0.009102285},"labels":[],"label_agreement":null},{"id":"W2011568005","doi":"10.1090/s0065-9266-2012-00671-x","title":"Fixed Point Theorems for Plane Continua with Applications","year":2012,"lang":"en","type":"preprint","venue":"Memoirs of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","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":"University of Saskatchewan","funders":"","keywords":"Mathematics; Julia set; Jordan curve theorem; Fixed point; Invariant (physics); Mathematical proof; Polynomial; Plane (geometry); Degenerate energy levels; Plane curve; Mathematical analysis; Pure mathematics; Geometry; Physics; Mathematical physics","score_opus":0.024118927603910066,"score_gpt":0.2981628735276105,"score_spread":0.27404394592370046,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2011568005","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":[0.055856414,0.0070742355,0.5575938,0.004945866,0.001288072,0.0001587177,0.00053412654,0.0006581482,0.37189057],"genre_scores_gemma":[0.70594126,0.0082703065,0.17124219,0.0020687769,0.00285682,0.00064584357,0.0009451082,0.00069808104,0.107331626],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99877626,0.00031295433,0.0000838112,0.00027151644,0.00040627806,0.00014914853],"domain_scores_gemma":[0.9983449,0.0009181509,0.000109713445,0.00013985457,0.00034632528,0.00014107813],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019485571,0.0012418252,0.000795623,0.0029315643,0.0020828221,0.0031155606,0.0014634131,0.0014051856,0.010879002],"category_scores_gemma":[0.005004879,0.00044075897,0.002077812,0.0017582388,0.0037310345,0.0058708405,0.004039948,0.004472614,0.0019734972],"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":[0.000003909603,0.0000034473542,0.000038894745,0.000023416202,0.0000034723485,0.000044681845,0.00011951029,0.00035388276,0.00018498082,0.99639434,0.00072703144,0.0021024405],"study_design_scores_gemma":[0.000007811565,0.000016083291,0.000111588866,0.000030405505,0.000007418432,0.000076212105,0.000100932586,0.0032374815,0.0003325765,0.97700435,0.019066017,0.000009157589],"about_ca_topic_score_codex":0.0020198096,"about_ca_topic_score_gemma":0.0010258558,"teacher_disagreement_score":0.010879002,"about_ca_system_score_codex":0.0027664038,"about_ca_system_score_gemma":0.0006694143,"threshold_uncertainty_score":0.03639394},"labels":[],"label_agreement":null},{"id":"W2040362746","doi":"10.1090/s0065-9266-2013-00679-x","title":"Torsors, reductive group schemes and extended affine Lie algebras","year":2013,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","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 Alberta","funders":"","keywords":"Mathematics; Lie algebra; Affine transformation; Pure mathematics; Affine Lie algebra; Simple (philosophy); Adjoint representation of a Lie algebra; Group (periodic table); Affine representation; Algebra over a field; Lie conformal algebra; Current algebra; Physics","score_opus":0.013521997812979168,"score_gpt":0.26178079347529054,"score_spread":0.24825879566231138,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2040362746","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":[0.3467895,0.01946972,0.15666161,0.00511767,0.0008726555,0.00011066882,0.0009349561,0.00050645636,0.46953678],"genre_scores_gemma":[0.93551433,0.0051413137,0.018215297,0.00035349396,0.00045680735,0.00005422355,0.00034674042,0.000057857564,0.03985996],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99970263,0.00006465389,0.000019498244,0.00003822077,0.00010046407,0.000074399555],"domain_scores_gemma":[0.9998,0.00004239139,0.000043046475,0.000035058143,0.000028957258,0.000050558014],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047012034,0.00057439867,0.00024660924,0.001467836,0.0009805177,0.0019675668,0.00048883306,0.0005166577,0.0072827246],"category_scores_gemma":[0.00056358054,0.00015922602,0.0004353078,0.00088404637,0.003612658,0.0041455785,0.0016327214,0.0014041857,0.00085137616],"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":[0.00000283245,0.0000030462234,0.00006779229,0.000012469806,0.0000011751622,0.000044093682,0.00016542962,0.00025358656,0.00022353424,0.9975101,0.00032346515,0.0013924355],"study_design_scores_gemma":[0.0000038737876,0.000014339216,0.00031166323,0.000020320284,0.000003847812,0.00023492934,0.00023821283,0.0011769308,0.00047048664,0.9741198,0.02339533,0.000010336979],"about_ca_topic_score_codex":0.0010155279,"about_ca_topic_score_gemma":0.00059775624,"teacher_disagreement_score":0.0072827246,"about_ca_system_score_codex":0.0008581783,"about_ca_system_score_gemma":0.0003432015,"threshold_uncertainty_score":0.02436316},"labels":[],"label_agreement":null},{"id":"W2051204832","doi":"10.1090/s0065-9266-2010-00628-8","title":"On systems of equations over free partially commutative groups","year":2010,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":23,"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; Commutative property; Pure mathematics","score_opus":0.02442533479567697,"score_gpt":0.3018606467566562,"score_spread":0.2774353119609792,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2051204832","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":[0.18504925,0.0013937667,0.65247995,0.0021587268,0.0005602011,0.00013019495,0.0007249272,0.00059911615,0.15690392],"genre_scores_gemma":[0.8151722,0.0009605875,0.1319928,0.0005689236,0.0004893323,0.00028626272,0.0008733551,0.00029610904,0.04936031],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989524,0.00031847126,0.00007498006,0.00016059208,0.0003220591,0.00017154074],"domain_scores_gemma":[0.99961936,0.00013231617,0.00005193073,0.000047534486,0.000105139225,0.000043660257],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010063048,0.0008997349,0.00066012685,0.0013961165,0.0012658499,0.0023142155,0.00083526305,0.000787726,0.0073175705],"category_scores_gemma":[0.0012701373,0.00031277828,0.0012177663,0.0010075968,0.0017999328,0.0031383603,0.0019048443,0.0013840003,0.0015697627],"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":[0.0000061887213,0.0000041866597,0.000055064655,0.000016593987,0.0000037998018,0.00003282143,0.0001620881,0.000961437,0.0005677799,0.9956613,0.00039247057,0.002136252],"study_design_scores_gemma":[0.000013076217,0.000012903886,0.00008074172,0.000011879254,0.0000061044684,0.000042849024,0.000071786606,0.009202625,0.0006932631,0.9819135,0.007941197,0.000010139383],"about_ca_topic_score_codex":0.0016250188,"about_ca_topic_score_gemma":0.0015347471,"teacher_disagreement_score":0.0073175705,"about_ca_system_score_codex":0.0013698773,"about_ca_system_score_gemma":0.0005855307,"threshold_uncertainty_score":0.024479747},"labels":[],"label_agreement":null},{"id":"W2061283920","doi":"10.1090/memo/1100","title":"Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture: with an Appendix by Warren Dicks","year":2014,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":54,"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; Conjecture; Von Neumann architecture; Pure mathematics; Discrete mathematics","score_opus":0.008589257705905233,"score_gpt":0.21434525198073012,"score_spread":0.20575599427482488,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061283920","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":[0.1020686,0.06666248,0.12186881,0.057786755,0.012395994,0.00015163979,0.0018854968,0.0010351769,0.63614506],"genre_scores_gemma":[0.7020942,0.03989943,0.0355505,0.004983887,0.009349447,0.0002804062,0.0019192958,0.00063267216,0.20529026],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996418,0.000091951406,0.000018099123,0.00006903762,0.00015322158,0.000025823443],"domain_scores_gemma":[0.99948287,0.00027009667,0.000031320815,0.000040053666,0.00012604089,0.000049533355],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008794842,0.00058118085,0.0004230487,0.0016496794,0.0006596703,0.0012713011,0.0005259968,0.00061645784,0.014914677],"category_scores_gemma":[0.0026183135,0.00035308936,0.00056422496,0.0015604782,0.0016254754,0.003282679,0.0017562339,0.0020762912,0.002293983],"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":[0.000023462837,0.00005272371,0.0003820991,0.00020109607,0.000014556406,0.00012392194,0.0004078414,0.0013344985,0.0014708042,0.91469365,0.048751377,0.032544028],"study_design_scores_gemma":[0.000012688591,0.000022691525,0.0012839825,0.00011638116,0.000012065362,0.000119862234,0.00016962418,0.0019380358,0.00075202587,0.8698818,0.12566496,0.000025798638],"about_ca_topic_score_codex":0.0024844052,"about_ca_topic_score_gemma":0.001571024,"teacher_disagreement_score":0.014914677,"about_ca_system_score_codex":0.0016805393,"about_ca_system_score_gemma":0.0007470495,"threshold_uncertainty_score":0.04989451},"labels":[],"label_agreement":null},{"id":"W2061521610","doi":"10.1090/s0065-9266-2012-00652-6","title":"Infinite-Dimensional Representations of 2-Groups","year":2012,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"","keywords":"Mathematics; Pure mathematics; Indecomposable module; Group (periodic table); Vector space; Representation theory; Hilbert space; Representation theory of the Lorentz group; Algebra over a field; Group representation; Representation (politics); Representation theory of SU; Lie group; Irreducible representation; Separable space; Fundamental representation; Lie algebra; Mathematical analysis; Weight; Law","score_opus":0.027164625949077446,"score_gpt":0.30862450434070904,"score_spread":0.2814598783916316,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061521610","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":[0.49860302,0.0032461332,0.31566623,0.0033359316,0.00052862556,0.00007548306,0.000533885,0.0005639632,0.17744665],"genre_scores_gemma":[0.94579196,0.00053255237,0.029943433,0.00044064663,0.00029265374,0.00007681281,0.0002772508,0.000069665795,0.022575075],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989538,0.00032272245,0.000058528756,0.0001760174,0.00033152188,0.00015737764],"domain_scores_gemma":[0.99940073,0.00016942757,0.000077103614,0.00011017409,0.0001264167,0.00011614396],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00090513256,0.0004433184,0.0003122411,0.0014774576,0.0009197241,0.0026033327,0.00062584726,0.0008904736,0.0045829327],"category_scores_gemma":[0.0013726144,0.00023580552,0.00066823984,0.00075257,0.002716162,0.0048012445,0.001958093,0.0011325732,0.00062943605],"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":[0.0000037103875,0.000005031197,0.000066589346,0.000008038335,0.0000017629862,0.00002687545,0.0002529242,0.00022706337,0.00045451845,0.9970522,0.0003034529,0.0015979654],"study_design_scores_gemma":[0.0000033369502,0.000012466829,0.00018004466,0.0000070289557,0.0000018042384,0.00008164395,0.00012383993,0.0021710338,0.00028763787,0.9910041,0.006119377,0.000007535993],"about_ca_topic_score_codex":0.0005751695,"about_ca_topic_score_gemma":0.00035643487,"teacher_disagreement_score":0.0045829327,"about_ca_system_score_codex":0.00090906466,"about_ca_system_score_gemma":0.0004387487,"threshold_uncertainty_score":0.015331447},"labels":[],"label_agreement":null},{"id":"W2077319192","doi":"10.1090/s0065-9266-10-00595-8","title":"Banach algebras on semigroups and on their compactifications","year":2010,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":165,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Dual polyhedron; Semigroup; Pure mathematics; Banach algebra; Algebra over a field; Banach space","score_opus":0.033272591027173136,"score_gpt":0.335920668613517,"score_spread":0.3026480775863439,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2077319192","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":[0.18908592,0.0075070364,0.45323625,0.0055084955,0.0015529906,0.00011631041,0.0010129185,0.00093987765,0.34104034],"genre_scores_gemma":[0.79833394,0.0032013345,0.09637126,0.00096741243,0.0013234466,0.00033325318,0.0010072966,0.00038713164,0.09807498],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982566,0.0006631791,0.00014461558,0.00035355656,0.00040056824,0.00018154107],"domain_scores_gemma":[0.9977354,0.00095675583,0.00032238138,0.00024457654,0.0004338513,0.00030709172],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018499021,0.0009656934,0.00058246433,0.0017240586,0.0012668112,0.003503072,0.00081599166,0.00083491916,0.010844703],"category_scores_gemma":[0.004155784,0.00053185807,0.001151885,0.0011191831,0.0033221184,0.006706153,0.0027019908,0.002504684,0.0025397758],"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":[0.000015704307,0.000007496197,0.000048188173,0.000026366692,0.000004667038,0.00004585855,0.0002667463,0.00043870832,0.00042288695,0.9951304,0.00075825315,0.0028347378],"study_design_scores_gemma":[0.000010729864,0.000024568819,0.00014250397,0.000018760817,0.000003895821,0.00006679389,0.00014930598,0.0036423602,0.00038874592,0.9859607,0.009582052,0.000009673926],"about_ca_topic_score_codex":0.0008653212,"about_ca_topic_score_gemma":0.0005325521,"teacher_disagreement_score":0.010844703,"about_ca_system_score_codex":0.0012764077,"about_ca_system_score_gemma":0.0006005836,"threshold_uncertainty_score":0.036279142},"labels":[],"label_agreement":null},{"id":"W2090251234","doi":"10.1090/memo/1101","title":"Higher-order time asymptotics of fast diffusion in Euclidean space: A dynamical systems approach","year":2014,"lang":"en","type":"preprint","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Banff International Research Station for Mathematical Innovation and Discovery; Deutsche Forschungsgemeinschaft; National Science Foundation","keywords":"Mathematics; Eigenvalues and eigenvectors; Mathematical analysis; Homogeneous space; Nonlinear system; Convergence (economics); Linearization; Euclidean space; Differentiable function; Geometry; Physics","score_opus":0.009569869081062462,"score_gpt":0.23625717481544262,"score_spread":0.22668730573438015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2090251234","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":[0.14124428,0.0034793052,0.8102441,0.0028829477,0.00037971293,0.00008251756,0.00019489735,0.00044028362,0.041051913],"genre_scores_gemma":[0.88590556,0.0033379528,0.08008138,0.00044837434,0.00076757313,0.00020672225,0.00023457607,0.00039907033,0.028618768],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99952054,0.00016581047,0.000028696226,0.00007730636,0.00014732266,0.00006035734],"domain_scores_gemma":[0.9961486,0.0022594482,0.00049526326,0.00022280504,0.0006043115,0.00026952135],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021973639,0.0008372184,0.00074810465,0.0025031215,0.00080285553,0.001967842,0.0011715959,0.0011156757,0.0047355397],"category_scores_gemma":[0.010534522,0.000369759,0.001254067,0.00082947337,0.0023306746,0.0043592,0.0017044466,0.0019317091,0.0005742438],"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":[0.000016608097,0.000015705977,0.0005498001,0.00008189728,0.00002239609,0.000106478656,0.00018022496,0.039052848,0.0018071472,0.95410377,0.00070449716,0.003358717],"study_design_scores_gemma":[0.000008434665,0.00001928478,0.00065116596,0.00003305979,0.000012060009,0.000086120184,0.00006491178,0.62750715,0.00048944924,0.36910427,0.0019951824,0.000028859526],"about_ca_topic_score_codex":0.0042450465,"about_ca_topic_score_gemma":0.0019284859,"teacher_disagreement_score":0.0047355397,"about_ca_system_score_codex":0.0020884215,"about_ca_system_score_gemma":0.00085612986,"threshold_uncertainty_score":0.015841901},"labels":[],"label_agreement":null},{"id":"W2140178638","doi":"10.1090/s0065-9266-10-00615-0","title":"Operator algebras for multivariable dynamics","year":2010,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Operator Algebra Research","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":"University of Waterloo","funders":"","keywords":"Mathematics; Tensor product; Crossed product; Hausdorff space; Operator algebra; Conjugacy class; Tensor product of algebras; Pure mathematics; Algebra over a field; Dilation (metric space); Tensor product of Hilbert spaces; Tensor (intrinsic definition); Boundary (topology); Discrete mathematics; Combinatorics; Mathematical analysis; Tensor contraction","score_opus":0.02210294437508517,"score_gpt":0.34389406085883906,"score_spread":0.3217911164837539,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2140178638","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":[0.04950978,0.0075749573,0.58940893,0.006168345,0.0015475004,0.00011160677,0.0014080164,0.0013102234,0.34296066],"genre_scores_gemma":[0.7781609,0.005893713,0.077721536,0.0020430945,0.0020833928,0.00029789272,0.0015461731,0.000456277,0.1317971],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993369,0.00020204432,0.000033610784,0.000116246134,0.00021233333,0.00009889826],"domain_scores_gemma":[0.99947125,0.0001584106,0.000057892186,0.00005587671,0.00018308099,0.00007348513],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009053076,0.00056278956,0.00047088903,0.0012728792,0.00090785546,0.0018385639,0.0005398816,0.0005498289,0.017857434],"category_scores_gemma":[0.0018090836,0.00020008099,0.0008933115,0.00084014336,0.001281452,0.0031742153,0.0016128086,0.0016218997,0.002700457],"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":[0.000004781401,0.000004730967,0.00004634065,0.00002984878,0.0000048564602,0.000025110705,0.000106590356,0.00063570635,0.00038427714,0.99130553,0.0026179736,0.0048342966],"study_design_scores_gemma":[0.0000054038073,0.000009436756,0.00015278712,0.000011859552,0.0000037011791,0.000039234335,0.00007304163,0.0057848115,0.00020593625,0.9736689,0.02003673,0.000008273042],"about_ca_topic_score_codex":0.0018178887,"about_ca_topic_score_gemma":0.0012316463,"teacher_disagreement_score":0.017857434,"about_ca_system_score_codex":0.0013897291,"about_ca_system_score_gemma":0.00072373834,"threshold_uncertainty_score":0.059739053},"labels":[],"label_agreement":null},{"id":"W2168955452","doi":"10.1090/memo/1168","title":"Semicrossed products of operator algebras by semigroups","year":2016,"lang":"en","type":"preprint","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Division of Mathematical Sciences; Ben-Gurion University of the Negev; University of Waterloo; Natural Sciences and Engineering Research Council of Canada; Fields Institute for Research in Mathematical Sciences; Skirball Foundation","keywords":"Endomorphism; Crossed product; Mathematics; Semigroup; Pure mathematics; Injective function; Automorphism; Operator algebra; Abelian group; Covariant transformation; Algebra over a field; Product (mathematics); Mathematical physics","score_opus":0.02653312019391317,"score_gpt":0.3321447311726849,"score_spread":0.3056116109787717,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2168955452","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":[0.76243556,0.00049086806,0.18014683,0.0003303687,0.00012420288,0.00005274259,0.00008577402,0.00026510176,0.056068506],"genre_scores_gemma":[0.96742624,0.00017919876,0.023736957,0.000066537534,0.00007997193,0.000034409542,0.00006748005,0.00006349813,0.008345681],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99906534,0.00021080393,0.000058864458,0.00018434596,0.00031348705,0.00016725305],"domain_scores_gemma":[0.9992085,0.00021634068,0.00013969456,0.00010866493,0.00016784927,0.00015896985],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010327558,0.0003221354,0.00025764236,0.0008555007,0.0008627886,0.0016759615,0.0005344997,0.0003432537,0.0046632634],"category_scores_gemma":[0.0013287005,0.00018738424,0.00059931044,0.00053140527,0.0019098222,0.0029124583,0.0012335435,0.000723789,0.00048867555],"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":[0.000018901006,0.000015266003,0.0002014487,0.000014232167,0.000004871631,0.00017435312,0.0005502206,0.0005552216,0.0031642138,0.9919944,0.00014413141,0.0031627414],"study_design_scores_gemma":[0.000018650493,0.000091678114,0.0006435982,0.000018704928,0.000013487206,0.0003640822,0.00046765624,0.015299983,0.008610366,0.9658589,0.008588625,0.000024300181],"about_ca_topic_score_codex":0.0005080604,"about_ca_topic_score_gemma":0.00031389584,"teacher_disagreement_score":0.0046632634,"about_ca_system_score_codex":0.00060395396,"about_ca_system_score_gemma":0.00033895342,"threshold_uncertainty_score":0.015600145},"labels":[],"label_agreement":null},{"id":"W2169008021","doi":"10.1090/s0065-9266-2010-00612-4","title":"Rearranging Dyson-Schwinger equations","year":2010,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Quantum Mechanics and Applications","field":"Physics and Astronomy","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Mathematical physics","score_opus":0.009644584845192608,"score_gpt":0.2578490302658741,"score_spread":0.24820444542068149,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2169008021","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":[0.027104944,0.0017623737,0.37819958,0.0072341855,0.0063020648,0.00039794127,0.0038934238,0.0017448742,0.5733605],"genre_scores_gemma":[0.1767723,0.003009391,0.26029608,0.004677933,0.001249909,0.000586506,0.0039126487,0.0052753026,0.5442199],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989097,0.0001872159,0.00010893287,0.0001823357,0.0004816411,0.00013011423],"domain_scores_gemma":[0.99937147,0.00013007064,0.000040942676,0.00010164148,0.0003137273,0.000042198244],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00090337236,0.001082059,0.00081703195,0.0023122379,0.0013107755,0.002769593,0.001413081,0.0008405321,0.06943078],"category_scores_gemma":[0.003499572,0.00039747672,0.0013910109,0.0011273099,0.0012725355,0.00406208,0.002181208,0.0032543608,0.031747963],"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":[0.000021110147,0.000019379742,0.000231067,0.00007339243,0.000010606631,0.00015294197,0.00031189687,0.002593618,0.0019888415,0.9485813,0.023226624,0.022789104],"study_design_scores_gemma":[0.000020959824,0.00002599126,0.0004319987,0.000071827155,0.000021188678,0.00025296398,0.0002456335,0.019082392,0.0035054185,0.7717389,0.20454422,0.000058462934],"about_ca_topic_score_codex":0.010069194,"about_ca_topic_score_gemma":0.008885961,"teacher_disagreement_score":0.06943078,"about_ca_system_score_codex":0.002228888,"about_ca_system_score_gemma":0.0019397932,"threshold_uncertainty_score":0.23226911},"labels":[],"label_agreement":null},{"id":"W2216982448","doi":"10.1090/memo/1240","title":"Crossed Products of Operator Algebras","year":2019,"lang":"en","type":"preprint","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Operator Algebra Research","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 Manitoba","funders":"","keywords":"Automorphism; Isomorphism (crystallography); Pure mathematics; Mathematics; Algebra over a field; Operator algebra; Tensor product; Complement (music); Generalization; Crossed product; Context (archaeology); Duality (order theory); Tensor product of algebras; Tensor product of Hilbert spaces; Mathematical analysis; Tensor contraction","score_opus":0.04332988023570977,"score_gpt":0.3555436309053829,"score_spread":0.3122137506696731,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2216982448","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":[0.38949534,0.0014105667,0.45933276,0.0009665373,0.0005597691,0.00015271496,0.00030940017,0.00063933793,0.14713353],"genre_scores_gemma":[0.92688626,0.0005403816,0.049394377,0.00026493668,0.00028066838,0.000090582325,0.0002595241,0.00016398165,0.022119323],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982845,0.00045787264,0.0001083493,0.0002955639,0.0005930581,0.00026068452],"domain_scores_gemma":[0.9984413,0.00029464604,0.00028204912,0.00025819638,0.00043868128,0.00028503005],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013403337,0.0006546046,0.00043347507,0.0016752875,0.0015572759,0.0024856534,0.00091977936,0.00085396145,0.006574556],"category_scores_gemma":[0.0025360591,0.0002993585,0.0012207069,0.0011851562,0.0024596655,0.004812926,0.002296997,0.0012838079,0.0009724781],"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":[0.000008920456,0.0000128513,0.00021605608,0.000020000347,0.0000086532855,0.00010162372,0.00026186055,0.0005954061,0.0011885086,0.9939079,0.00041023886,0.0032679436],"study_design_scores_gemma":[0.00000805734,0.00004971386,0.00025670836,0.000013978003,0.000013153203,0.00034454113,0.00026050708,0.009485202,0.002548162,0.9787846,0.0082167955,0.000018534949],"about_ca_topic_score_codex":0.0011347601,"about_ca_topic_score_gemma":0.0006510833,"teacher_disagreement_score":0.006574556,"about_ca_system_score_codex":0.0011251995,"about_ca_system_score_gemma":0.0006000887,"threshold_uncertainty_score":0.021994054},"labels":[],"label_agreement":null},{"id":"W2269014414","doi":"10.1090/memo/1208","title":"Degree Spectra of Relations on a Cone","year":2018,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Degree (music); Mathematics; Spectrum (functional analysis); Cone (formal languages); Combinatorics; Omega; Spectral line; Physics; Quantum mechanics","score_opus":0.027520027811125353,"score_gpt":0.26976516287991825,"score_spread":0.2422451350687929,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2269014414","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":[0.43417358,0.0012443207,0.2061665,0.002441921,0.00045056123,0.00009377852,0.0011601475,0.00084124645,0.35342792],"genre_scores_gemma":[0.9531243,0.00055011315,0.017356787,0.0004213329,0.00034776647,0.00006869273,0.0006688763,0.00033580922,0.027126255],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99829704,0.00024361839,0.00008097479,0.0003719881,0.0006211351,0.00038534836],"domain_scores_gemma":[0.9979431,0.00069984054,0.00018627678,0.0002140198,0.0005478162,0.00040885972],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009394769,0.00070731435,0.00064604287,0.0038018746,0.0021775817,0.0036567352,0.0010043465,0.00072000764,0.0111236125],"category_scores_gemma":[0.002867854,0.00040148312,0.00093542016,0.0018723585,0.002957177,0.005154513,0.0021461034,0.0020927088,0.001515992],"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":[0.00002080442,0.000011194847,0.00021310817,0.000022096463,0.0000045624815,0.000049155213,0.000203408,0.00032910184,0.0006979219,0.9935454,0.0010874602,0.003815723],"study_design_scores_gemma":[0.000015342543,0.000021145346,0.00091332395,0.000020932966,0.000007754873,0.00014453323,0.00020852541,0.0039319317,0.0010539547,0.9854423,0.008220343,0.000019934736],"about_ca_topic_score_codex":0.0038898084,"about_ca_topic_score_gemma":0.0031782417,"teacher_disagreement_score":0.0111236125,"about_ca_system_score_codex":0.0028627724,"about_ca_system_score_gemma":0.0005203826,"threshold_uncertainty_score":0.037212253},"labels":[],"label_agreement":null},{"id":"W2604512536","doi":"10.1090/memo/1357","title":"Tunneling estimates and approximate controllability for hypoelliptic equations","year":2022,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":24,"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 de Montréal","funders":"Agence Nationale de la Recherche","keywords":"Algorithm; Annotation; Computer science; Artificial intelligence; Type (biology); Geology","score_opus":0.014160571676077201,"score_gpt":0.23201088506000395,"score_spread":0.21785031338392674,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2604512536","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":[0.1780019,0.0030963575,0.6870953,0.0031041985,0.0005427142,0.00007908809,0.00029007514,0.0007124319,0.12707807],"genre_scores_gemma":[0.90467364,0.0022511794,0.049647883,0.00044463895,0.000537597,0.00013454192,0.00033373092,0.00047427908,0.041502498],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99948394,0.00015861851,0.000023013195,0.00007540082,0.00019441929,0.000064560016],"domain_scores_gemma":[0.9985464,0.00075803034,0.00017403613,0.00014025308,0.00021633468,0.00016499015],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018162116,0.0009939446,0.00066058093,0.0020812748,0.0006927159,0.0016167184,0.0010543539,0.0006968726,0.007470929],"category_scores_gemma":[0.005404621,0.00027513193,0.0010660681,0.0005416689,0.0019791713,0.003578726,0.0020724246,0.002505766,0.00063479214],"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":[0.000012515177,0.000008829139,0.00017020371,0.00005916283,0.000009683134,0.000038616352,0.00010504033,0.0057957633,0.0011024148,0.98766,0.00077780127,0.0042600203],"study_design_scores_gemma":[0.000006511407,0.000028459077,0.00034856508,0.00003385609,0.000011234876,0.00006366454,0.00007199409,0.12991227,0.0008968106,0.8662872,0.0023202363,0.000019246056],"about_ca_topic_score_codex":0.0018060319,"about_ca_topic_score_gemma":0.0011880101,"teacher_disagreement_score":0.007470929,"about_ca_system_score_codex":0.0014730507,"about_ca_system_score_gemma":0.00064648077,"threshold_uncertainty_score":0.024992764},"labels":[],"label_agreement":null},{"id":"W2928470312","doi":"10.1090/memo/1415","title":"Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity","year":2023,"lang":"lv","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Singularity; Multiplicity (mathematics); Boundary value problem; Physics; Stability (learning theory); Mathematical analysis; Mathematics; Mathematical physics; Computer science","score_opus":0.04735332702259868,"score_gpt":0.3093632624882465,"score_spread":0.2620099354656478,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2928470312","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":[0.6313315,0.0018580466,0.16312334,0.007960557,0.00079484686,0.000106592925,0.00050473696,0.00076389726,0.19355653],"genre_scores_gemma":[0.95281076,0.00047072617,0.011120416,0.00035540527,0.0003076452,0.00008784628,0.00024530283,0.00029155918,0.0343102],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993339,0.00019085691,0.00003101092,0.00010780681,0.00017829871,0.00015810375],"domain_scores_gemma":[0.9987363,0.00041756427,0.00016871981,0.00010559676,0.00018620362,0.00038562878],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010412178,0.0009419812,0.0011203886,0.002238593,0.0018475711,0.0031101524,0.0015830502,0.0015710815,0.0104321465],"category_scores_gemma":[0.004810809,0.0004904965,0.0010461161,0.0006576345,0.0028520513,0.0039974847,0.0042580445,0.0025239475,0.0015698583],"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":[0.000030372554,0.000016464792,0.0002281207,0.000035195906,0.0000077393415,0.00010917161,0.0001260636,0.0022956678,0.0006122119,0.99364376,0.0011957133,0.001699478],"study_design_scores_gemma":[0.000022350281,0.00001801096,0.0003751715,0.000020436359,0.0000059114523,0.00009687988,0.000092630165,0.043423343,0.00038500724,0.95437783,0.0011582156,0.000024177412],"about_ca_topic_score_codex":0.0026543455,"about_ca_topic_score_gemma":0.0013890339,"teacher_disagreement_score":0.0104321465,"about_ca_system_score_codex":0.0021241282,"about_ca_system_score_gemma":0.0015229682,"threshold_uncertainty_score":0.034899056},"labels":[],"label_agreement":null},{"id":"W2963867225","doi":"10.1090/memo/1210","title":"Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow","year":2018,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":16,"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; National Science Foundation","keywords":"Singularity; Mathematics; Mean curvature flow; Mean curvature; Curvature; Flow (mathematics); Symmetry (geometry); Rotational symmetry; Dynamics (music); Mathematical analysis; Geometry; Physics","score_opus":0.014588319500585697,"score_gpt":0.28133882919185094,"score_spread":0.26675050969126524,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963867225","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":[0.89736056,0.00040526778,0.076183036,0.001038405,0.00012563959,0.00006758513,0.00016637574,0.0002841129,0.024369149],"genre_scores_gemma":[0.98389935,0.0001606227,0.007888673,0.00013918553,0.000040822633,0.00004031665,0.00020410267,0.00008943941,0.0075375712],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9998394,0.00002834553,0.0000056531685,0.000027881413,0.000041627023,0.000057084853],"domain_scores_gemma":[0.99949956,0.00012597989,0.00009641029,0.00004326695,0.00008294545,0.00015188832],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003479938,0.0007160348,0.00045871438,0.0013647745,0.0010491887,0.0014147708,0.0008812215,0.001590439,0.0034533003],"category_scores_gemma":[0.0026540705,0.0003162852,0.0006624764,0.00033108445,0.0016938492,0.0013990112,0.0015627393,0.0010781809,0.0003407027],"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":[0.00029809368,0.000118965785,0.005664209,0.0001430188,0.00006533388,0.0014116324,0.00084795617,0.21561584,0.033120528,0.72582793,0.0042086667,0.0126778595],"study_design_scores_gemma":[0.00003878223,0.00008013832,0.0030202426,0.000033581313,0.000017088863,0.00029920583,0.0002960799,0.80245787,0.0040313145,0.18739414,0.0022754252,0.00005611902],"about_ca_topic_score_codex":0.005439941,"about_ca_topic_score_gemma":0.0023893984,"teacher_disagreement_score":0.005439941,"about_ca_system_score_codex":0.001548307,"about_ca_system_score_gemma":0.0006462603,"threshold_uncertainty_score":0.011552513},"labels":[],"label_agreement":null},{"id":"W3176762172","doi":"10.1090/memo/1324","title":"Model theory of C*-algebras","year":2021,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Algebra over a field; Pure mathematics","score_opus":0.051478194686425394,"score_gpt":0.3454031776266785,"score_spread":0.2939249829402531,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3176762172","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":[0.05285598,0.0071014557,0.64913625,0.007307791,0.00067165506,0.00013762934,0.0018550659,0.0016974069,0.27923676],"genre_scores_gemma":[0.83227164,0.0035630912,0.10432684,0.0016145648,0.00068765774,0.0003037771,0.0019101159,0.00033861454,0.054983776],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99810433,0.0004949545,0.000095945914,0.00041175704,0.0006282306,0.00026476895],"domain_scores_gemma":[0.9987914,0.0003936757,0.00008909267,0.00019018512,0.0004159809,0.00011969274],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001501489,0.0009921895,0.00094193185,0.0015807472,0.0022885532,0.0061461143,0.0019802114,0.0016918055,0.009173531],"category_scores_gemma":[0.0022815696,0.0004347658,0.0015874358,0.002404543,0.0037912254,0.0067257853,0.0020688982,0.0029886812,0.002121417],"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":[0.000004485277,0.000005085311,0.000029592582,0.000023240736,0.0000048229845,0.00001789002,0.000084798034,0.0008198046,0.00012246662,0.9967698,0.0009318267,0.0011861713],"study_design_scores_gemma":[0.0000067031733,0.000006731399,0.00003529087,0.000015307938,0.0000049537184,0.000024584659,0.000057407313,0.0067289155,0.00023868581,0.98489666,0.007976943,0.0000079403735],"about_ca_topic_score_codex":0.009438696,"about_ca_topic_score_gemma":0.0054887016,"teacher_disagreement_score":0.009438696,"about_ca_system_score_codex":0.0051640626,"about_ca_system_score_gemma":0.0025885196,"threshold_uncertainty_score":0.037468016},"labels":[],"label_agreement":null},{"id":"W3200177433","doi":"10.1090/memo/1331","title":"Global dynamics above the ground state energy for the combined power-type nonlinear Schrödinger equations with energy-critical growth at low frequencies","year":2021,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Mathematical Physics Problems","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":"Nonlinear system; Ground state; Mathematics; Energy (signal processing); Power (physics); Type (biology); Dynamics (music); Schrödinger's cat; State (computer science); Mathematical analysis; Physics; Quantum mechanics; Acoustics","score_opus":0.016521946966703695,"score_gpt":0.2851679661135638,"score_spread":0.26864601914686015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3200177433","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":[0.9089633,0.00029689033,0.06875446,0.00085638824,0.000052987907,0.000025609012,0.000064979504,0.000086659624,0.020898806],"genre_scores_gemma":[0.98694164,0.0002591649,0.00628668,0.00006257195,0.00003556077,0.000046541896,0.00006190794,0.000039381186,0.006266682],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9999218,0.000017527349,0.0000034338707,0.000012912795,0.000022011202,0.00002225181],"domain_scores_gemma":[0.9997905,0.00006762481,0.000038405473,0.000013949473,0.000039974162,0.000049623224],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022425615,0.0004831628,0.00033101882,0.0008160216,0.00064706703,0.0009605098,0.00052376394,0.0006460118,0.0025083716],"category_scores_gemma":[0.00081819156,0.00024682237,0.00047920816,0.0002971893,0.0011155232,0.0015729675,0.0009442186,0.00075804093,0.00032114986],"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":[0.000113852235,0.000058411148,0.00236955,0.00012378313,0.00003582704,0.00067063404,0.00083022634,0.065490045,0.038674522,0.88205206,0.0011570323,0.0084239505],"study_design_scores_gemma":[0.000044039618,0.000060007478,0.0017277729,0.00002548154,0.00001870638,0.00026625555,0.0003023093,0.65020835,0.004144453,0.34223694,0.0009240631,0.000041616222],"about_ca_topic_score_codex":0.001094422,"about_ca_topic_score_gemma":0.0009167342,"teacher_disagreement_score":0.0025083716,"about_ca_system_score_codex":0.00059073884,"about_ca_system_score_gemma":0.00038000822,"threshold_uncertainty_score":0.008391321},"labels":[],"label_agreement":null},{"id":"W4221029657","doi":"10.1090/memo/1353","title":"Arthur packets for 𝑝-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples","year":2022,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary; University of Lethbridge","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Mathematisches Forschungsinstitut Oberwolfach; University of Calgary","keywords":"Pure mathematics; Mathematical economics; Mathematics; Algebra over a field","score_opus":0.019102376944674843,"score_gpt":0.26960351469083704,"score_spread":0.25050113774616223,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4221029657","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":[0.49669227,0.0020404132,0.30865377,0.0020133853,0.00037704114,0.0001981858,0.00021302866,0.0005413623,0.1892706],"genre_scores_gemma":[0.9534972,0.0006727394,0.023778178,0.00016208242,0.0001614861,0.00009914819,0.00008954157,0.0001127389,0.02142676],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99949646,0.000115231705,0.000025033129,0.000073607196,0.00019279616,0.000096822405],"domain_scores_gemma":[0.9997142,0.00007995119,0.000042833086,0.00003966172,0.00005254445,0.00007077468],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005480609,0.00070954155,0.00030888533,0.0023466898,0.0012084905,0.0033632,0.00063343387,0.00066630245,0.00408885],"category_scores_gemma":[0.001151087,0.0002697691,0.00055804575,0.0009908066,0.00347351,0.0037655374,0.0021974747,0.0015035169,0.0005435639],"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":[0.0000042638044,0.000004986452,0.00015312416,0.0000089098685,0.0000015628264,0.00005587334,0.00031298184,0.00014168814,0.00033124405,0.99655956,0.00018297552,0.0022428425],"study_design_scores_gemma":[0.00001090293,0.00003451692,0.0005392447,0.00001974051,0.0000097369475,0.0003563498,0.0005747334,0.004071094,0.001411782,0.9727525,0.02020313,0.000016317583],"about_ca_topic_score_codex":0.0007718564,"about_ca_topic_score_gemma":0.00039798595,"teacher_disagreement_score":0.00408885,"about_ca_system_score_codex":0.0010686528,"about_ca_system_score_gemma":0.00039283806,"threshold_uncertainty_score":0.013678551},"labels":[],"label_agreement":null},{"id":"W4235513894","doi":"10.1090/memo/1094","title":"A homology theory for Smale spaces","year":2014,"lang":"en","type":"paratext","venue":"Memoirs of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics","score_opus":0.02462510337288598,"score_gpt":0.3157480478896814,"score_spread":0.29112294451679543,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4235513894","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":[0.23000725,0.0032240627,0.4944919,0.006079843,0.00074005785,0.00009139919,0.00035176807,0.0003615022,0.26465225],"genre_scores_gemma":[0.90364313,0.001122514,0.04121497,0.0006097144,0.0007492224,0.000096374555,0.00030832167,0.00006234116,0.05219334],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99953413,0.00009820969,0.00002111074,0.00009802666,0.00017501776,0.00007350377],"domain_scores_gemma":[0.99924195,0.00025518527,0.00007903054,0.000090560075,0.00016865206,0.00016472323],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008694888,0.00035119444,0.00044029666,0.0023031193,0.001635051,0.001989669,0.0006342527,0.0010391442,0.009666596],"category_scores_gemma":[0.0016207765,0.00021760397,0.0004921401,0.0008715575,0.003179254,0.0067963535,0.0028559854,0.0018391327,0.0012131551],"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":[0.0000017114772,0.0000031399222,0.000055274653,0.0000089444475,0.0000012138426,0.000022746694,0.0001429697,0.000326948,0.00028761578,0.9968748,0.00041516425,0.0018594608],"study_design_scores_gemma":[0.0000035429389,0.000019936306,0.00021897345,0.000011590148,0.0000021548751,0.00008245365,0.00012036094,0.004039546,0.00036872688,0.98243815,0.012688704,0.0000059072554],"about_ca_topic_score_codex":0.00061125495,"about_ca_topic_score_gemma":0.0004047758,"teacher_disagreement_score":0.009666596,"about_ca_system_score_codex":0.0013608995,"about_ca_system_score_gemma":0.00040137235,"threshold_uncertainty_score":0.032337964},"labels":[],"label_agreement":null},{"id":"W4245310088","doi":"10.1090/s0065-9266-10-00586-7","title":"Structural Ramsey theory of metric spaces and topological dynamics of isometry groups","year":2010,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Isometry (Riemannian geometry); Metric space; Metric (unit); Ramsey theory; Topological dynamics; Pure mathematics; Dynamics (music); Topology (electrical circuits); Discrete mathematics; Combinatorics; Topological tensor product; Functional analysis; Physics; Business","score_opus":0.015231334852740372,"score_gpt":0.29390094181745885,"score_spread":0.2786696069647185,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4245310088","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":[0.58478975,0.0140011655,0.18331091,0.019314826,0.0007140105,0.000059830312,0.00031129975,0.00016755023,0.19733071],"genre_scores_gemma":[0.9792047,0.002494696,0.008881897,0.00036481227,0.00035722213,0.00004123527,0.000115224764,0.000019988947,0.008520248],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996244,0.00013131356,0.000014529022,0.00006325068,0.00010871078,0.00005781818],"domain_scores_gemma":[0.9988136,0.00048619867,0.00021660794,0.00015646966,0.00014649033,0.00018066625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008558832,0.0003584768,0.0004449891,0.0012747245,0.0014140212,0.0024966863,0.0007645458,0.00095118023,0.0033954552],"category_scores_gemma":[0.0020055328,0.00025222567,0.00042814255,0.000916377,0.004939522,0.0068321615,0.0017136217,0.002053256,0.00031944714],"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":[0.0000047315193,0.000005073745,0.00010540616,0.000010576034,0.000001926465,0.000017010265,0.00021233337,0.00023107331,0.00018139367,0.9980742,0.00024840672,0.0009077723],"study_design_scores_gemma":[0.0000041672347,0.00001172746,0.0002366367,0.0000065318104,0.0000017031139,0.00005393973,0.00019278612,0.0013667826,0.00012989939,0.9947754,0.0032165053,0.0000038175144],"about_ca_topic_score_codex":0.0006306063,"about_ca_topic_score_gemma":0.00063146336,"teacher_disagreement_score":0.0033954552,"about_ca_system_score_codex":0.0014156995,"about_ca_system_score_gemma":0.0005320366,"threshold_uncertainty_score":0.011358976},"labels":[],"label_agreement":null},{"id":"W4247671952","doi":"10.1090/memo/1097","title":"Self-affine scaling sets in ℝ²","year":2014,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Scaling; Affine transformation; Pure mathematics; Geometry","score_opus":0.015044692539337575,"score_gpt":0.28729795906635835,"score_spread":0.27225326652702075,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4247671952","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":[0.35040042,0.0015250524,0.46818775,0.0011718766,0.0006296889,0.000112506306,0.00066068914,0.00077227247,0.17653969],"genre_scores_gemma":[0.863283,0.0010132113,0.07767642,0.00047716967,0.00061124127,0.00019517356,0.001054058,0.00035145183,0.055338297],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99876153,0.00014164914,0.0000859957,0.00034469969,0.00047137198,0.00019486251],"domain_scores_gemma":[0.9984328,0.00041458206,0.00024498918,0.00021911779,0.0004838252,0.00020467953],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008091308,0.0007234459,0.0009077953,0.002791629,0.0018310951,0.0032994493,0.00082799833,0.00077493413,0.007718365],"category_scores_gemma":[0.0022944598,0.0005297221,0.0016482869,0.0012482181,0.0026188516,0.0029571885,0.0024010707,0.0018473917,0.0015612682],"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":[0.000016607713,0.000012766283,0.00023875512,0.00003319999,0.000011854551,0.00008649859,0.00019753556,0.0012577438,0.0011954333,0.9891423,0.00096255075,0.006844772],"study_design_scores_gemma":[0.00001202604,0.000034799363,0.0007485791,0.00003135955,0.000012182871,0.00020089348,0.00019878395,0.015570826,0.001960299,0.9700504,0.01115546,0.000024292156],"about_ca_topic_score_codex":0.0011357307,"about_ca_topic_score_gemma":0.00081411796,"teacher_disagreement_score":0.007718365,"about_ca_system_score_codex":0.0014779177,"about_ca_system_score_gemma":0.0004905882,"threshold_uncertainty_score":0.025820494},"labels":[],"label_agreement":null},{"id":"W4393950498","doi":"10.1090/memo/1476","title":"Higher Airy Structures, 𝒲 Algebras and Topological Recursion","year":2024,"lang":"en","type":"article","venue":"Memoirs of the American Mathematical Society","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":12,"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":"European Regional Development Fund; Natural Sciences and Engineering Research Council of Canada; Max-Planck-Gesellschaft; Fundacja na rzecz Nauki Polskiej; European Commission","keywords":"Recursion (computer science); Mathematics; Pure mathematics; Algebra over a field; Topology (electrical circuits); Combinatorics; Algorithm","score_opus":0.024734159866934426,"score_gpt":0.3001177126131638,"score_spread":0.27538355274622933,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4393950498","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":[0.48672354,0.0022857871,0.27847102,0.0022970324,0.00050628034,0.00009387299,0.00047846694,0.0008903721,0.22825363],"genre_scores_gemma":[0.93839335,0.00057052425,0.033270866,0.00034453193,0.00023602496,0.0000672856,0.00021528883,0.00014524224,0.026756814],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99934345,0.00013996441,0.000037891743,0.00009987211,0.00019541576,0.0001834753],"domain_scores_gemma":[0.99950874,0.000114377166,0.00008669077,0.00008851938,0.00010533,0.00009625518],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060135056,0.0003482369,0.00037033894,0.0013621807,0.0013396236,0.002129592,0.0005973126,0.0006621791,0.007571223],"category_scores_gemma":[0.0011094549,0.00022756547,0.0007982981,0.0008752279,0.0026629737,0.0044484157,0.0019448902,0.0012945506,0.0012161151],"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":[0.000005572458,0.0000041641474,0.000074522264,0.00001079023,0.000001491679,0.000027526132,0.00014326455,0.00021453254,0.0004344415,0.9968665,0.00028468197,0.0019323587],"study_design_scores_gemma":[0.000008348273,0.000014158104,0.00023634994,0.0000109786215,0.0000035127284,0.00008194633,0.000113716545,0.0022868542,0.00087454787,0.9873481,0.009008941,0.000012653851],"about_ca_topic_score_codex":0.0015529445,"about_ca_topic_score_gemma":0.0012234546,"teacher_disagreement_score":0.007571223,"about_ca_system_score_codex":0.0011933731,"about_ca_system_score_gemma":0.00048318718,"threshold_uncertainty_score":0.025328279},"labels":[],"label_agreement":null}]}