{"meta":{"query_hash":"2b4b888461bd","filters":{"venue":"Algebraic Combinatorics"},"cohort_total":42,"direct_labels_cover":0,"predictions_cover":42,"exported":42,"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/2b4b888461bd","api":"https://metacan.xera.ac/api/v1/cohort?venue=Algebraic+Combinatorics"},"results":[{"id":"W1707678590","doi":"10.5802/alco.14","title":"Equivariant quantum cohomology of the Grassmannian via the rim hook rule","year":2018,"lang":"en","type":"preprint","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":3,"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":"Division of Mathematical Sciences; University of Waterloo; National Science Foundation","keywords":"Schubert calculus; Mathematics; Grassmannian; Modulo; Equivariant map; Pure mathematics; Quantum cohomology; Hook; Generalized flag variety; Quantum; Generalization; Cohomology; Equivariant cohomology; Algebra over a field; Combinatorics; Discrete mathematics; Physics; Quantum mechanics","score_opus":0.039766744705881193,"score_gpt":0.30702969549652787,"score_spread":0.26726295079064666,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1707678590","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":[0.73181635,0.00020220956,0.22475591,0.00026712343,0.0000702366,0.00005602116,0.00013082776,0.0008471864,0.041854117],"genre_scores_gemma":[0.9611215,0.00011146916,0.032268748,0.000058553927,0.000038193957,0.000023905955,0.0001131122,0.00013908593,0.0061254306],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996617,0.00006258299,0.000021873659,0.00007874034,0.000106270825,0.00006878014],"domain_scores_gemma":[0.9998141,0.000041039788,0.00002425753,0.00005366081,0.000032960517,0.000033940607],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003496157,0.00027757935,0.00035509383,0.00086139754,0.0004985927,0.0013208954,0.000714968,0.00031250468,0.0053240405],"category_scores_gemma":[0.0010295694,0.00020910687,0.00047485583,0.00050389796,0.0013229903,0.0027604247,0.0014398161,0.00075260334,0.00092912157],"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":[0.00006117731,0.000037303435,0.0019093588,0.000053444288,0.000014070807,0.0003475488,0.00050992006,0.0036092154,0.007796734,0.9459357,0.0015547562,0.03817079],"study_design_scores_gemma":[0.000024137144,0.00008069205,0.0021000914,0.000022531356,0.000027847067,0.0003596388,0.0002967664,0.040126942,0.012523863,0.93657297,0.00780888,0.00005565275],"about_ca_topic_score_codex":0.00069532526,"about_ca_topic_score_gemma":0.0009508989,"teacher_disagreement_score":0.0053240405,"about_ca_system_score_codex":0.0003878442,"about_ca_system_score_gemma":0.00027786163,"threshold_uncertainty_score":0.017810702},"labels":[],"label_agreement":null},{"id":"W2306066718","doi":"10.5802/alco.103","title":"Parity of transversals of Latin squares","year":2020,"lang":"lv","type":"article","venue":"Algebraic Combinatorics","topic":"graph theory and CDMA systems","field":"Engineering","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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Latin square; Parity (physics); Congruence relation; Modulo; Diagonal; Order (exchange); Matrix (chemical analysis)","score_opus":0.02137300143909144,"score_gpt":0.20338881934325537,"score_spread":0.18201581790416393,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2306066718","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":[0.64444906,0.00054825295,0.2599399,0.0011101721,0.0008723839,0.00018244945,0.0006851793,0.00095423893,0.09125832],"genre_scores_gemma":[0.93906325,0.00033131518,0.038834155,0.00047721475,0.000376211,0.00021358905,0.000580999,0.0005346527,0.019588524],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9951851,0.0010640939,0.00044474943,0.0009978482,0.00094870373,0.0013595191],"domain_scores_gemma":[0.98958325,0.0037341348,0.0017475244,0.0019742704,0.0016290474,0.0013317966],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002346175,0.00079355744,0.0009726857,0.0015031077,0.0019449523,0.0040769493,0.0010220731,0.001188009,0.0164458],"category_scores_gemma":[0.012233828,0.00083447143,0.0013513055,0.001019531,0.0043363147,0.005812234,0.004824687,0.0029212476,0.002458021],"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":[0.0007881691,0.00009512398,0.0042542685,0.00015221529,0.000027446802,0.001008295,0.0013320239,0.0021024246,0.022579862,0.93249536,0.0026136404,0.032551177],"study_design_scores_gemma":[0.00014562822,0.00074718776,0.0024121704,0.00010287201,0.00004562333,0.0020316956,0.0011937898,0.014603838,0.023796842,0.9328576,0.021956423,0.00010633325],"about_ca_topic_score_codex":0.0007357155,"about_ca_topic_score_gemma":0.00050065597,"teacher_disagreement_score":0.0164458,"about_ca_system_score_codex":0.0010012863,"about_ca_system_score_gemma":0.0010212633,"threshold_uncertainty_score":0.055016637},"labels":[],"label_agreement":null},{"id":"W2729176162","doi":"10.5802/alco.110","title":"A crystal-like structure on shifted tableaux","year":2020,"lang":"en","type":"preprint","venue":"Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Skew; Type (biology); Mathematics; Set (abstract data type); Young tableau; Combinatorics; Schur polynomial; Crystal (programming language); Pure mathematics; Macdonald polynomials; Physics; Computer science; Orthogonal polynomials; Discrete orthogonal polynomials","score_opus":0.04715578275435529,"score_gpt":0.2933179629025672,"score_spread":0.2461621801482119,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2729176162","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":[0.12426588,0.0012039869,0.55679905,0.001932046,0.0016214965,0.00016979019,0.0019139327,0.0023751112,0.30971864],"genre_scores_gemma":[0.69928145,0.0006772914,0.17843616,0.0010100794,0.00037252327,0.0002891996,0.0016036328,0.001077118,0.11725263],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921703,0.00016119983,0.000051735762,0.00017751001,0.00024220896,0.000150433],"domain_scores_gemma":[0.9993772,0.0001631288,0.000056359302,0.00012246467,0.00019268456,0.00008828711],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005716147,0.00058451836,0.0005042299,0.0010219003,0.0020062488,0.0037185503,0.0012251653,0.0011830955,0.022401785],"category_scores_gemma":[0.0014437366,0.00046774693,0.00087134243,0.0013167566,0.0021251705,0.00373602,0.0019278555,0.0017487828,0.0058000735],"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":[0.000019390727,0.000007682809,0.000056569657,0.000021251486,0.0000032596427,0.00008698181,0.00014923407,0.0007124313,0.001045603,0.98964953,0.0023355735,0.005912539],"study_design_scores_gemma":[0.000024186113,0.00002883111,0.000093018716,0.00002384673,0.000007194111,0.00015189355,0.00014331171,0.007457233,0.0028341578,0.9478834,0.041326247,0.00002680127],"about_ca_topic_score_codex":0.0024625184,"about_ca_topic_score_gemma":0.0033147421,"teacher_disagreement_score":0.022401785,"about_ca_system_score_codex":0.0021097742,"about_ca_system_score_gemma":0.0008747939,"threshold_uncertainty_score":0.0749414},"labels":[],"label_agreement":null},{"id":"W2786857188","doi":"10.5802/alco.73","title":"Frobenius Heisenberg categorification","year":2019,"lang":"lv","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":22,"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","keywords":"Categorification; Mathematics; Pure mathematics; Lie superalgebra; Lattice (music); Algebra over a field; Physics; Affine Lie algebra","score_opus":0.020458656110131795,"score_gpt":0.2744590398292287,"score_spread":0.2540003837190969,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2786857188","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":[0.3711978,0.0019794612,0.1661454,0.0023936399,0.0006713644,0.0001187376,0.0009189916,0.0011773938,0.45539728],"genre_scores_gemma":[0.88035005,0.00072684896,0.019526044,0.0004889392,0.00027801652,0.000082128245,0.00062755647,0.00016507458,0.097755484],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99913496,0.00010497798,0.0000413656,0.00020450378,0.000277298,0.00023699968],"domain_scores_gemma":[0.99941003,0.00008655021,0.00006002137,0.000110780304,0.00020753487,0.00012506128],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008417182,0.00058362493,0.00040430223,0.0018349035,0.0014658789,0.0017721343,0.0006353577,0.00059254555,0.010022892],"category_scores_gemma":[0.0010441054,0.0002981645,0.00071667717,0.0007247136,0.0021697846,0.003896995,0.0022001907,0.001307464,0.0018908044],"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":[0.000011177419,0.0000063994717,0.0002758228,0.000019546393,0.0000060584016,0.00006773544,0.00039842233,0.00021945068,0.0010065286,0.9912554,0.0011940753,0.0055393726],"study_design_scores_gemma":[0.0000064783503,0.000018528253,0.0009989883,0.000022455073,0.000008695171,0.00020278218,0.00039833612,0.0020758756,0.0015020479,0.97120947,0.02353441,0.000021977574],"about_ca_topic_score_codex":0.0047426648,"about_ca_topic_score_gemma":0.0036650805,"teacher_disagreement_score":0.010022892,"about_ca_system_score_codex":0.0019220547,"about_ca_system_score_gemma":0.0008921964,"threshold_uncertainty_score":0.033529878},"labels":[],"label_agreement":null},{"id":"W2797188401","doi":"10.5802/alco.68","title":"The slack realization space of a matroid","year":2019,"lang":"en","type":"preprint","venue":"Algebraic Combinatorics","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Max-Planck-Institut für Mathematik in den Naturwissenschaften; University of Washington; National Science Foundation","keywords":"Matroid; Realization (probability); Mathematics; Realizability; Ideal (ethics); Matroid partitioning; Graphic matroid; Vertex (graph theory); Hyperplane; Incidence matrix; Space (punctuation); Combinatorics; Discrete mathematics; Pure mathematics; Computer science; Algorithm; Graph","score_opus":0.038004792935530295,"score_gpt":0.32453991053855535,"score_spread":0.2865351176030251,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2797188401","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":[0.46770754,0.00052267633,0.478408,0.00072566763,0.00015922997,0.00006990891,0.0005898691,0.00041683906,0.051400222],"genre_scores_gemma":[0.96302664,0.00019456488,0.027707456,0.00007212638,0.00011920358,0.000054675915,0.00039699374,0.00007807711,0.0083503425],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992173,0.00012919995,0.000039958104,0.0001965888,0.00025889854,0.00015820416],"domain_scores_gemma":[0.99950933,0.00007894848,0.000101962716,0.0001002368,0.0000891216,0.00012034624],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005470343,0.0005627992,0.00045212512,0.0011728923,0.0010185209,0.0026209836,0.0008910176,0.00049710734,0.005066001],"category_scores_gemma":[0.00082701695,0.00031096695,0.0007054056,0.0007721448,0.002938719,0.0036348018,0.0017907694,0.0015825975,0.0006817319],"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":[0.000017140865,0.0000095018295,0.00023076303,0.000015004033,0.0000043022633,0.000076748554,0.0001489026,0.0013760037,0.0018846181,0.9940513,0.0002608892,0.0019248124],"study_design_scores_gemma":[0.000016089389,0.000065910084,0.00045448996,0.00001489776,0.000011084398,0.000345356,0.00031733807,0.025127564,0.0031097415,0.96076584,0.009741042,0.00003071635],"about_ca_topic_score_codex":0.0010356205,"about_ca_topic_score_gemma":0.0006541945,"teacher_disagreement_score":0.005066001,"about_ca_system_score_codex":0.0010173542,"about_ca_system_score_gemma":0.0005791186,"threshold_uncertainty_score":0.016947508},"labels":[],"label_agreement":null},{"id":"W2810821919","doi":"10.5802/alco.66","title":"Some combinatorial identities appearing in the calculation of the cohomology of Siegel modular varieties","year":2019,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Algebra and Geometry","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":"Toronto Metropolitan University","funders":"École Normale Supérieure de Lyon; Université de Lyon; Agence Nationale de la Recherche; École Normale Supérieure; Simons Foundation","keywords":"Siegel modular form; Cohomology; Mathematics; Modular design; Pure mathematics; Algebra over a field; Shimura variety; Modular form; Computer science; Programming language","score_opus":0.014314607763762746,"score_gpt":0.2613339573421286,"score_spread":0.24701934957836585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2810821919","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":[0.5297024,0.0013935661,0.37701237,0.0018306931,0.0006587909,0.00016248124,0.000285079,0.00034986655,0.08860471],"genre_scores_gemma":[0.9096336,0.0008437911,0.0668653,0.00024973243,0.00050609536,0.0001311751,0.00028411235,0.00022294618,0.021263415],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991391,0.00022130598,0.000054232896,0.00012423437,0.00033481308,0.00012632672],"domain_scores_gemma":[0.9992107,0.00035926528,0.00010043523,0.00012240658,0.00009087111,0.000116333256],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001789654,0.00089796155,0.00072436006,0.0024657839,0.001806779,0.0035083715,0.0020190696,0.0012182369,0.006634227],"category_scores_gemma":[0.0044645467,0.00040108894,0.0008780299,0.002246656,0.0030814633,0.006125596,0.0022895029,0.001913273,0.0012174562],"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":[0.00004013989,0.00006782479,0.0016730579,0.00008976889,0.000010408532,0.0005441589,0.0004338138,0.0033340133,0.0013727777,0.9752364,0.00097490096,0.016222786],"study_design_scores_gemma":[0.000014691412,0.000043450786,0.0015456663,0.000038226925,0.00002038184,0.0005035352,0.00035972567,0.02352876,0.0045190547,0.9662955,0.003083261,0.000047848178],"about_ca_topic_score_codex":0.0004370427,"about_ca_topic_score_gemma":0.0006550739,"teacher_disagreement_score":0.006634227,"about_ca_system_score_codex":0.000826907,"about_ca_system_score_gemma":0.00057757844,"threshold_uncertainty_score":0.02219373},"labels":[],"label_agreement":null},{"id":"W2907379407","doi":"10.5802/alco.170","title":"The Hopf structure of symmetric group characters as symmetric functions","year":2021,"lang":"en","type":"preprint","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","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; National Science Foundation","keywords":"Symmetric group; Mathematics; Symmetric function; Character (mathematics); Ring of symmetric functions; Pure mathematics; Coproduct; Product (mathematics); Ring (chemistry); Group (periodic table); Basis (linear algebra); Hopf algebra; Algebra over a field; Physics; Geometry; Chemistry; Quantum mechanics","score_opus":0.021537424194642534,"score_gpt":0.28123632574139085,"score_spread":0.2596989015467483,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2907379407","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":[0.7225905,0.00099245,0.12741725,0.0006397392,0.00023142899,0.00006629452,0.00019597138,0.00016899587,0.14769739],"genre_scores_gemma":[0.9743025,0.00035152287,0.006387794,0.00007572173,0.00015865636,0.00001824857,0.00006922767,0.00005379233,0.018582528],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99974054,0.000052721014,0.000010259652,0.000038535996,0.00007956931,0.000078383084],"domain_scores_gemma":[0.9995734,0.00012889408,0.000048966736,0.000062790525,0.00008241349,0.00010350848],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048409862,0.00043105567,0.00029736478,0.0010831063,0.0007747639,0.0015487818,0.00048214855,0.0004927501,0.006761218],"category_scores_gemma":[0.0010690739,0.00021884406,0.0002928768,0.00054625905,0.0018943695,0.0036909163,0.0010515829,0.0010003576,0.0010129253],"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":[0.000023594002,0.000012946139,0.00016074152,0.000019467401,0.0000021038252,0.000079450365,0.00022361425,0.00055010675,0.0024502117,0.99095285,0.00025865991,0.0052661486],"study_design_scores_gemma":[0.0000084859485,0.000029215149,0.0003762437,0.000010180081,0.000004295641,0.00012552111,0.000088859284,0.004942647,0.0042639663,0.98747766,0.0026586875,0.000014385364],"about_ca_topic_score_codex":0.00034798565,"about_ca_topic_score_gemma":0.00027816088,"teacher_disagreement_score":0.006761218,"about_ca_system_score_codex":0.00057094905,"about_ca_system_score_gemma":0.00034024246,"threshold_uncertainty_score":0.022618532},"labels":[],"label_agreement":null},{"id":"W2937003594","doi":"10.5802/alco.221","title":"K-theoretic crystals for set-valued tableaux of rectangular shapes","year":2022,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":12,"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":"Division of Mathematical Sciences; Australian Research Council; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Bijection, injection and surjection; Conjecture; Set (abstract data type); Mathematics; Combinatorics; Crystal (programming language); Young tableau; Discrete mathematics; Computer science; Bijection","score_opus":0.036587217489478234,"score_gpt":0.30766054250848246,"score_spread":0.2710733250190042,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2937003594","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":[0.5677711,0.0006772333,0.33369854,0.001368118,0.00031056764,0.00011455646,0.0004920633,0.00043795662,0.0951298],"genre_scores_gemma":[0.942732,0.00025147403,0.043565024,0.00023988771,0.00008250372,0.00010199759,0.00023132323,0.000120780016,0.012675044],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999,0.00020952868,0.00006096336,0.00024463396,0.0002897903,0.000195119],"domain_scores_gemma":[0.9982869,0.00080518366,0.00020800407,0.00029056278,0.00024987117,0.00015943237],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008872362,0.00038299485,0.00060943415,0.00091792154,0.002344292,0.00294187,0.000796086,0.0009364483,0.0074168467],"category_scores_gemma":[0.0037009863,0.00048197122,0.0014092268,0.00094612374,0.0041683833,0.0044274637,0.0023927016,0.0021962067,0.00086930406],"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":[0.000016563738,0.000005603047,0.00028130694,0.000017540653,0.0000027115116,0.00005774634,0.00022006583,0.0006061107,0.00068030856,0.99605525,0.00031649612,0.001740274],"study_design_scores_gemma":[0.000018342791,0.000025799087,0.0003470707,0.00002377866,0.000007277543,0.0001546514,0.0002799945,0.008862152,0.0023218207,0.9827319,0.005201184,0.000026067873],"about_ca_topic_score_codex":0.002300572,"about_ca_topic_score_gemma":0.0030664296,"teacher_disagreement_score":0.0074168467,"about_ca_system_score_codex":0.0019038772,"about_ca_system_score_gemma":0.0012145482,"threshold_uncertainty_score":0.024811804},"labels":[],"label_agreement":null},{"id":"W2980148097","doi":"10.5802/alco.53","title":"The antipode of linearized Hopf monoids","year":2019,"lang":"lv","type":"article","venue":"Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":33,"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; York University","keywords":"Hopf algebra; Mathematics; Monoid; Functor; Commutative property; Pure mathematics; Tensor algebra; Combinatorics; Discrete mathematics; Algebra over a field; Division algebra; Subalgebra","score_opus":0.011036937442571311,"score_gpt":0.2489928585774069,"score_spread":0.2379559211348356,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2980148097","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":[0.41504687,0.0035242878,0.238115,0.002431522,0.0011345958,0.00010269588,0.0007578185,0.0009391009,0.33794817],"genre_scores_gemma":[0.917763,0.0008872832,0.016066967,0.00073966925,0.00027151805,0.00007028389,0.00026627886,0.00011167984,0.06382331],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99938524,0.00012640894,0.00004262619,0.00014827265,0.00018646628,0.0001109263],"domain_scores_gemma":[0.99943525,0.00010326455,0.00006646634,0.000066628934,0.00018585617,0.00014254858],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006039865,0.0002762901,0.00029101805,0.0013391471,0.0016195116,0.0023389773,0.0004976497,0.0005544696,0.008984766],"category_scores_gemma":[0.0010374503,0.00031346938,0.00040810186,0.00048611846,0.0020810617,0.0036677034,0.0025643653,0.001027567,0.0017725662],"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":[0.000018767729,0.0000064260234,0.00012511373,0.000019067751,0.0000038295498,0.0000377629,0.00022412743,0.00014860158,0.0010488695,0.9933084,0.00054680277,0.0045121512],"study_design_scores_gemma":[0.000015108184,0.000052359414,0.0005414251,0.00002600506,0.000014088556,0.00019990686,0.00039214606,0.002915116,0.00311597,0.96188986,0.03080585,0.000032136104],"about_ca_topic_score_codex":0.00134569,"about_ca_topic_score_gemma":0.0010196335,"teacher_disagreement_score":0.008984766,"about_ca_system_score_codex":0.0013225588,"about_ca_system_score_gemma":0.00070368306,"threshold_uncertainty_score":0.030057073},"labels":[],"label_agreement":null},{"id":"W2981971943","doi":"10.5802/alco.131","title":"Random walk on the symplectic forms over a finite field","year":2020,"lang":"lv","type":"article","venue":"Algebraic Combinatorics","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":1,"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":"Random walk; Symplectic geometry; Heterogeneous random walk in one dimension; Markov chain; Upper and lower bounds; Loop-erased random walk; Bounding overwatch","score_opus":0.036755830553509894,"score_gpt":0.27268510355920456,"score_spread":0.23592927300569466,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2981971943","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":[0.87076783,0.00029451287,0.1125212,0.0016101977,0.00015508951,0.00010102883,0.00041395795,0.000269421,0.013866788],"genre_scores_gemma":[0.9769274,0.0002137194,0.010493847,0.00013931982,0.00008546522,0.00009091992,0.0003220401,0.00006334341,0.0116639],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994597,0.00017783577,0.000020978037,0.000102924045,0.00011197718,0.00012655166],"domain_scores_gemma":[0.9976803,0.0009782625,0.00027560286,0.0001862192,0.00025942596,0.00062024896],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007718704,0.0004959804,0.0005634444,0.0013712171,0.00088502327,0.0013278351,0.00061200024,0.00080382737,0.006939499],"category_scores_gemma":[0.004078781,0.00030298956,0.00052832754,0.0006076087,0.0016992723,0.0022915276,0.0012234388,0.0011051713,0.00067015697],"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":[0.00022878744,0.0000764708,0.0019649134,0.000057834168,0.00002646998,0.00046275783,0.00029917294,0.034001216,0.00234362,0.94919485,0.002468588,0.008875288],"study_design_scores_gemma":[0.00011331443,0.00017201525,0.002147196,0.00005284084,0.000014775768,0.00018795909,0.00017500375,0.2881784,0.0013840353,0.7045457,0.0029640375,0.000064770844],"about_ca_topic_score_codex":0.0014707961,"about_ca_topic_score_gemma":0.001875848,"teacher_disagreement_score":0.006939499,"about_ca_system_score_codex":0.00094012264,"about_ca_system_score_gemma":0.000655841,"threshold_uncertainty_score":0.023214936},"labels":[],"label_agreement":null},{"id":"W2993538439","doi":"10.5802/alco.76","title":"The cohomology of abelian Hessenberg varieties and the Stanley–Stembridge conjecture","year":2019,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":40,"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":"Mathematics; Abelian group; Cohomology; Conjecture; Pure mathematics; Algebra over a field; Combinatorics","score_opus":0.008280523138434547,"score_gpt":0.24874011340082194,"score_spread":0.2404595902623874,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2993538439","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":[0.90212184,0.0005646354,0.026759602,0.0010762046,0.00006254633,0.00002220701,0.00009876312,0.00012394441,0.06917028],"genre_scores_gemma":[0.9915399,0.00018064627,0.0016702269,0.00008181369,0.00007672086,0.000012069304,0.0000978755,0.0000105242625,0.006330265],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999811,0.000027334818,0.000005946275,0.00003672371,0.00006592402,0.000053090636],"domain_scores_gemma":[0.999689,0.00008400371,0.00006244454,0.00003808137,0.00004857378,0.00007785294],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000304674,0.00024342703,0.00024325303,0.0014714411,0.0010158162,0.0010606576,0.0005317212,0.00040037383,0.0051546814],"category_scores_gemma":[0.0008597202,0.00015260992,0.000267679,0.0008504206,0.0024251994,0.0036141016,0.0018323654,0.00076986535,0.0003848618],"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":[0.000017123457,0.000012234268,0.0015092947,0.000017312681,0.0000034837383,0.00012086645,0.00041457167,0.0008871358,0.0010325314,0.9916259,0.0007006043,0.0036589382],"study_design_scores_gemma":[0.000017948943,0.00003704205,0.0028578206,0.000017778717,0.0000083479645,0.00022819935,0.00069889997,0.00779474,0.002337295,0.97761714,0.008368208,0.000016563277],"about_ca_topic_score_codex":0.0013998196,"about_ca_topic_score_gemma":0.0011500573,"teacher_disagreement_score":0.0051546814,"about_ca_system_score_codex":0.0007415451,"about_ca_system_score_gemma":0.0003017966,"threshold_uncertainty_score":0.0172441},"labels":[],"label_agreement":null},{"id":"W3006009662","doi":"10.5802/alco.84","title":"On graded presentations of Hecke algebras and their generalizations","year":2020,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute","funders":"Institut Périmètre de physique théorique; Natural Sciences and Engineering Research Council of Canada; Government of Canada; Innovation, Science and Economic Development Canada; National Science Foundation","keywords":"Mathematics; Affine transformation; Pure mathematics; Type (biology); Hecke algebra; Hecke operator; Algebra over a field","score_opus":0.05195532986268597,"score_gpt":0.2813732724655415,"score_spread":0.22941794260285553,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3006009662","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":[0.3164314,0.01155124,0.22200832,0.005430419,0.0012246926,0.000169977,0.0006947728,0.0006259987,0.4418632],"genre_scores_gemma":[0.9214656,0.0047636335,0.027319942,0.0013034977,0.001513562,0.00015573986,0.0005773479,0.00016330273,0.04273742],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986621,0.00037225723,0.00008567903,0.00024147035,0.0004140989,0.00022442502],"domain_scores_gemma":[0.9992168,0.00021720247,0.00011032045,0.0001696154,0.00015523442,0.00013088489],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014051173,0.00067852216,0.00061971165,0.0024740396,0.0022289315,0.0028102722,0.0008775335,0.0009425504,0.0076801614],"category_scores_gemma":[0.0023688956,0.00047748187,0.0011634595,0.002046161,0.003684321,0.00985162,0.0034562605,0.0024317084,0.0010414862],"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":[0.0000044393314,0.000007847437,0.00006552512,0.000015539315,0.0000035735861,0.000060601178,0.00035270603,0.00029110073,0.0003236487,0.9961582,0.000528587,0.0021882749],"study_design_scores_gemma":[0.0000043391005,0.000007689945,0.00009332273,0.0000112495345,0.0000032353823,0.00007776048,0.00011947194,0.0006846911,0.00013866695,0.9939604,0.0048899087,0.000009257286],"about_ca_topic_score_codex":0.0014970794,"about_ca_topic_score_gemma":0.0009160033,"teacher_disagreement_score":0.0076801614,"about_ca_system_score_codex":0.0018293407,"about_ca_system_score_gemma":0.0006629422,"threshold_uncertainty_score":0.025692642},"labels":[],"label_agreement":null},{"id":"W3020635359","doi":"10.5802/alco.173","title":"Trimming the permutahedron to extend the parking space","year":2021,"lang":"en","type":"preprint","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"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":"Javna Agencija za Raziskovalno Dejavnost RS","keywords":"Trimming; Combinatorics; Permutation (music); Lattice (music); Representation (politics); Mathematics; Space (punctuation); Action (physics); Partial permutation; Permutation group; Binary number; Cyclic permutation; Symmetric group; Computer science; Discrete mathematics; Physics; Arithmetic; Political science; Law; Quantum mechanics; Programming language","score_opus":0.05686512766875149,"score_gpt":0.33604998084089766,"score_spread":0.27918485317214614,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3020635359","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":[0.37756115,0.0006839401,0.43983972,0.002746489,0.0014142932,0.00012214144,0.0004239943,0.0013155829,0.17589273],"genre_scores_gemma":[0.8665758,0.00043762583,0.07206824,0.001198681,0.00033333356,0.000103983126,0.00036114085,0.00043116105,0.058490064],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932206,0.00016898532,0.000034860386,0.00017204796,0.00012349468,0.00017848593],"domain_scores_gemma":[0.99937433,0.00021234129,0.000044741428,0.00017518098,0.000093564486,0.00009989624],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009453893,0.00062932505,0.0006684344,0.000840241,0.0013555172,0.0017218572,0.0011377464,0.001117329,0.01403023],"category_scores_gemma":[0.002201109,0.00041556885,0.0018316486,0.0005849216,0.0024611237,0.0036875603,0.0020491467,0.0021715374,0.0034459662],"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":[0.000107053704,0.000042834323,0.00010952135,0.000035103076,0.000009695945,0.00013221447,0.00028279604,0.0021215482,0.0017128323,0.976652,0.0029023925,0.015891911],"study_design_scores_gemma":[0.000036939666,0.00012394173,0.00013348325,0.00001835947,0.0000136129265,0.00017484737,0.00013712599,0.014169812,0.002582522,0.96638495,0.016187413,0.00003701803],"about_ca_topic_score_codex":0.0009549532,"about_ca_topic_score_gemma":0.00086630735,"teacher_disagreement_score":0.01403023,"about_ca_system_score_codex":0.0008055254,"about_ca_system_score_gemma":0.000571518,"threshold_uncertainty_score":0.046935737},"labels":[],"label_agreement":null},{"id":"W3114867747","doi":"10.5802/alco.142","title":"Chapoton triangles for nonkissing complexes","year":2020,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":3,"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; Canada Research Chairs","keywords":"Combinatorics; Catalan number; Conjecture; Mathematics; Coxeter group; Catalan; Isosceles triangle; Lattice (music); Parallels; Grid; Number theory; Discrete mathematics; Geometry; Physics; Humanities","score_opus":0.14753819928983206,"score_gpt":0.3512335605638952,"score_spread":0.20369536127406315,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3114867747","genre_codex":"other","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":[0.21342742,0.0010694569,0.19973738,0.0029926372,0.0008773394,0.00020142889,0.00066135934,0.00034142798,0.5806915],"genre_scores_gemma":[0.87692773,0.0009811934,0.038858403,0.0009184558,0.0004393558,0.00021529903,0.0007787852,0.00027429312,0.08060643],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988153,0.00022786266,0.000054301887,0.00026928328,0.0004343076,0.00019893688],"domain_scores_gemma":[0.9983255,0.00062815205,0.00020846272,0.00023770278,0.00034511223,0.0002550096],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00073423865,0.0005680689,0.00043996956,0.0014966618,0.0031381024,0.0039902725,0.0010974193,0.0009929981,0.02242645],"category_scores_gemma":[0.0033974922,0.00034764828,0.00086494733,0.0012924493,0.003519493,0.0054275664,0.0036070186,0.0029740569,0.0024588106],"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":[0.0000061759833,0.0000030968113,0.00006079831,0.000010056976,7.1955066e-7,0.000035030665,0.00012373365,0.00013475258,0.00015263121,0.99789006,0.000506857,0.0010762148],"study_design_scores_gemma":[0.0000157976,0.000021048716,0.00024314613,0.000021356138,0.000004436895,0.00019646532,0.0004497091,0.0034042124,0.0009701612,0.958168,0.03649191,0.000013789335],"about_ca_topic_score_codex":0.0033857974,"about_ca_topic_score_gemma":0.0026126003,"teacher_disagreement_score":0.02242645,"about_ca_system_score_codex":0.0023635982,"about_ca_system_score_gemma":0.00075143884,"threshold_uncertainty_score":0.07502395},"labels":[],"label_agreement":null},{"id":"W3191048659","doi":"10.5802/alco.248","title":"Modified Macdonald polynomials and the multispecies zero-range process: I","year":2023,"lang":"lv","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":8,"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; Vetenskapsrådet; National Science Foundation","keywords":"Connection (principal bundle); Mathematics; Statistical mechanics; Statistic; Zero (linguistics); Particle system; Combinatorics; Ring (chemistry); Pure mathematics; Statistical physics; Physics; Geometry; Statistics; Computer science","score_opus":0.03357287720168464,"score_gpt":0.2981153733873657,"score_spread":0.26454249618568104,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3191048659","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":[0.21968885,0.0016278892,0.68841255,0.0032260257,0.0010032776,0.00012968377,0.0002464599,0.00050619745,0.085159026],"genre_scores_gemma":[0.92500156,0.0005833157,0.055355735,0.0008407455,0.0004740998,0.00011733808,0.00010856926,0.0002095777,0.017309073],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99892706,0.00021530241,0.000050183713,0.00017241614,0.00041349913,0.00022159562],"domain_scores_gemma":[0.9972524,0.0010028663,0.0005290155,0.0004149931,0.0004998631,0.00030081515],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018748955,0.0005010152,0.0006140472,0.0012828998,0.0010634278,0.0024933703,0.0021082177,0.0015220033,0.006453065],"category_scores_gemma":[0.0065988926,0.00039015376,0.0013767509,0.00085969275,0.00354297,0.003864955,0.0021674817,0.0026012918,0.0009831543],"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":[0.000008311585,0.000010986453,0.00015716109,0.000028254173,0.000005032844,0.00007951892,0.00006205331,0.0025346077,0.00082805485,0.994001,0.0005124266,0.0017726005],"study_design_scores_gemma":[0.000013899184,0.00003199959,0.00029273392,0.000023891389,0.000008174618,0.00019391571,0.000054072814,0.06837076,0.0012772015,0.92690194,0.002798059,0.0000333248],"about_ca_topic_score_codex":0.0016337236,"about_ca_topic_score_gemma":0.0010019873,"teacher_disagreement_score":0.006453065,"about_ca_system_score_codex":0.0019185068,"about_ca_system_score_gemma":0.001426698,"threshold_uncertainty_score":0.02158767},"labels":[],"label_agreement":null},{"id":"W3196577735","doi":"10.5802/alco.256","title":"Rowmotion on fences","year":2023,"lang":"en","type":"preprint","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","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":"Banff International Research Station for Mathematical Innovation and Discovery; Johns Hopkins University","keywords":"Partially ordered set; Antichain; Ideal (ethics); Mathematics; Coxeter group; Combinatorics; Orbit (dynamics); Fence (mathematics); Discrete mathematics","score_opus":0.19162383649683612,"score_gpt":0.38391822059,"score_spread":0.1922943840931639,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3196577735","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":[0.019118596,0.0013996303,0.8103875,0.0011466207,0.0012364434,0.00019316637,0.004463922,0.025743814,0.1363103],"genre_scores_gemma":[0.31802583,0.0016267775,0.48331064,0.0011586198,0.0002458982,0.0006133364,0.011265286,0.0149978725,0.16875574],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993262,0.00010778562,0.000038459242,0.00019755281,0.00020827008,0.000121689955],"domain_scores_gemma":[0.9994831,0.00012730877,0.000025679126,0.0001862899,0.00011647333,0.000060965216],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048386614,0.0016036966,0.0010145603,0.0008186693,0.0011744933,0.002231152,0.0017645127,0.0014254202,0.117867455],"category_scores_gemma":[0.0022755275,0.0007744111,0.0010485606,0.0006909598,0.0013389228,0.004278755,0.004918028,0.0015313048,0.024930596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008828954,0.00008193392,0.0013010263,0.0006651649,0.00008006662,0.0006088943,0.0010884164,0.065124065,0.017915957,0.3092787,0.20011993,0.402853],"study_design_scores_gemma":[0.00017190525,0.00020977556,0.00061823445,0.0003513606,0.000034286586,0.00041533465,0.00065730844,0.2099985,0.014385162,0.22250666,0.5505543,0.00009725986],"about_ca_topic_score_codex":0.005163328,"about_ca_topic_score_gemma":0.010258759,"teacher_disagreement_score":0.117867455,"about_ca_system_score_codex":0.0007299407,"about_ca_system_score_gemma":0.0007006951,"threshold_uncertainty_score":0.39430594},"labels":[],"label_agreement":null},{"id":"W3198893576","doi":"10.5802/alco.169","title":"The Erdős–Ko–Rado theorem for 2-intersecting families of perfect matchings","year":2021,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":3,"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":"Combinatorics; Perfect graph theorem; Mathematics; Vertex (graph theory); Matching (statistics); Graph; Perfect graph; Strong perfect graph theorem; Extension (predicate logic); Discrete mathematics; Line graph; Computer science; Graph power; Pathwidth","score_opus":0.02013845099307112,"score_gpt":0.28604550546987006,"score_spread":0.26590705447679897,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3198893576","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":[0.37414438,0.0056740916,0.46945563,0.004368602,0.00045507157,0.00021417851,0.0028145437,0.0008943607,0.14197908],"genre_scores_gemma":[0.92940366,0.004691066,0.04518085,0.0010414977,0.00053535885,0.00045536648,0.0016666489,0.00013272018,0.016892761],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99689436,0.00059997896,0.00023241877,0.0009716059,0.0007293117,0.0005723194],"domain_scores_gemma":[0.99355537,0.0035977957,0.0009056371,0.0007706344,0.00075691985,0.0004136078],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023476724,0.000746899,0.0018291222,0.0030015134,0.0029359427,0.0028056523,0.0015425069,0.0017087604,0.008625221],"category_scores_gemma":[0.011512163,0.0008387655,0.0018031552,0.0025792562,0.001993256,0.007876629,0.0030923868,0.0024208815,0.0014963961],"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":[0.00016002504,0.000037455917,0.001581435,0.00020448393,0.00006326049,0.00031327675,0.00043914065,0.008125967,0.0012811046,0.96210414,0.0049875756,0.020702194],"study_design_scores_gemma":[0.000058347796,0.00007795425,0.0011588578,0.00008689635,0.000068914356,0.00094751734,0.0002731692,0.030855788,0.001232057,0.9439171,0.0212709,0.000052455984],"about_ca_topic_score_codex":0.0015152602,"about_ca_topic_score_gemma":0.0006351459,"teacher_disagreement_score":0.008625221,"about_ca_system_score_codex":0.001934191,"about_ca_system_score_gemma":0.00097126287,"threshold_uncertainty_score":0.028854191},"labels":[],"label_agreement":null},{"id":"W3204184250","doi":"10.5802/alco.263","title":"Lagrangian combinatorics of matroids","year":2023,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":4,"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":"Simons Institute for the Theory of Computing, University of California Berkeley; Natural Sciences and Engineering Research Council of Canada; Sorbonne Université; Università di Bologna; Division of Mathematical Sciences; National Science Foundation","keywords":"Matroid; Mathematics; Lagrangian; Piecewise linear function; Combinatorics; Regular polygon; Conjecture; Piecewise; Pure mathematics; Geometry; Mathematical analysis","score_opus":0.04117453944594158,"score_gpt":0.31906586414721216,"score_spread":0.2778913247012706,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3204184250","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":[0.25813392,0.0036027832,0.2239912,0.0057639885,0.0006861405,0.00012283228,0.0015836147,0.0008981295,0.50521743],"genre_scores_gemma":[0.8948972,0.001578311,0.030517066,0.0008068054,0.0008021297,0.00012927629,0.0012497047,0.0002981895,0.06972128],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986191,0.0003261903,0.00007282928,0.00027103422,0.00045122014,0.00025966382],"domain_scores_gemma":[0.99886864,0.0002612289,0.0001924389,0.00016666496,0.00022954601,0.0002814241],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007488614,0.0007436451,0.0005991474,0.0026061856,0.0020221253,0.0044308384,0.00097628386,0.0007457432,0.012436756],"category_scores_gemma":[0.0016527537,0.00047525347,0.0009277751,0.0015462243,0.0033242619,0.0052892053,0.002317137,0.0018166034,0.0018898237],"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":[0.000011024329,0.000008186306,0.000124495,0.000019201538,0.00000244136,0.0000456035,0.00012278144,0.0005953189,0.0002769222,0.9941704,0.0014576166,0.003165998],"study_design_scores_gemma":[0.000012888014,0.00001870403,0.00029514002,0.000023511962,0.000004421754,0.00016059926,0.00016415303,0.004819442,0.00050853787,0.96958524,0.024392482,0.000014857529],"about_ca_topic_score_codex":0.0018950809,"about_ca_topic_score_gemma":0.0021396677,"teacher_disagreement_score":0.012436756,"about_ca_system_score_codex":0.0033830951,"about_ca_system_score_gemma":0.0007770001,"threshold_uncertainty_score":0.041605055},"labels":[],"label_agreement":null},{"id":"W4206193620","doi":"10.5802/alco.189","title":"Pretty good quantum fractional revival in paths and cycles","year":2022,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation; National Science Foundation","keywords":"Eigenvalues and eigenvectors; Adjacency matrix; Lemma (botany); Mathematics; Kronecker delta; Generalization; Characterization (materials science); Spectral properties; Combinatorics; Quantum; Graph; Quantum graph; Discrete mathematics; Quantum mechanics; Physics; Mathematical analysis","score_opus":0.0075304557018013325,"score_gpt":0.2200925737900866,"score_spread":0.21256211808828526,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4206193620","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":[0.7278703,0.0006851666,0.2000345,0.0011266299,0.00013087713,0.00008178819,0.00016554567,0.00040779475,0.06949743],"genre_scores_gemma":[0.9828131,0.00023675436,0.00996969,0.00014695016,0.00003100694,0.00004104631,0.000054291097,0.00010689924,0.0066000656],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995245,0.000110674606,0.000017822618,0.00009024095,0.00011245801,0.00014428579],"domain_scores_gemma":[0.99870276,0.0005622314,0.00016011343,0.00029633983,0.0001551837,0.00012339978],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006219432,0.00029668288,0.00042967312,0.00086236536,0.00147548,0.0014440027,0.00062413525,0.000686455,0.00714695],"category_scores_gemma":[0.003306116,0.00021746581,0.0005792196,0.0005948316,0.0024895356,0.0042275907,0.00182718,0.0013499504,0.00040222998],"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":[0.00002473515,0.000011143903,0.0002330282,0.000023173186,0.0000041461617,0.00008174873,0.00023094635,0.003122394,0.0014212657,0.9909123,0.000385103,0.0035500366],"study_design_scores_gemma":[0.000005220855,0.000015682797,0.00015184532,0.000011172666,0.0000036611145,0.00008715977,0.00014362189,0.012347635,0.0014434863,0.98369896,0.002081042,0.00001054685],"about_ca_topic_score_codex":0.0009022786,"about_ca_topic_score_gemma":0.0008591761,"teacher_disagreement_score":0.00714695,"about_ca_system_score_codex":0.0009894874,"about_ca_system_score_gemma":0.0004585255,"threshold_uncertainty_score":0.023908973},"labels":[],"label_agreement":null},{"id":"W4284676172","doi":"10.5802/alco.215","title":"Octonions and the two strictly projective tight 5-designs","year":2022,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Royal Military College of Canada","funders":"Canadian Defence Academy","keywords":"Projective plane; Projective space; Mathematics; Lattice (music); Projective test; Real projective plane; Collineation; Blocking set; Pure mathematics; Projective linear group; Quaternionic projective space; Combinatorics; Discrete mathematics; Complex projective space; Geometry; Physics; Correlation","score_opus":0.03658627681122073,"score_gpt":0.29544547467484833,"score_spread":0.2588591978636276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4284676172","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":[0.762712,0.00045660615,0.13426481,0.00040714853,0.00018391009,0.000059890608,0.0001739153,0.00016908016,0.10157265],"genre_scores_gemma":[0.9680347,0.0001579448,0.02074845,0.00013373968,0.000033605367,0.00004088149,0.00009141719,0.000028188018,0.010731129],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995278,0.00012985845,0.000024824392,0.00007118262,0.00012457628,0.000121768375],"domain_scores_gemma":[0.9997296,0.000047024336,0.00006587811,0.000051157687,0.00003643009,0.0000699146],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024888938,0.0003212123,0.0001886972,0.00060042104,0.0008456627,0.0013407947,0.00029972405,0.00033764754,0.004106642],"category_scores_gemma":[0.00064310245,0.00022193803,0.00025854373,0.00049462845,0.001565419,0.0013188682,0.0010124119,0.0008258208,0.0003580096],"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":[0.00006326783,0.000009598613,0.0002453766,0.000018716048,0.0000042217084,0.000117761185,0.00013320897,0.0013995686,0.0027409296,0.98465073,0.000358919,0.010257697],"study_design_scores_gemma":[0.000039218652,0.00018943797,0.0010856852,0.000035080284,0.00001416238,0.000507599,0.00057737425,0.009309514,0.007521276,0.9550902,0.02557982,0.000050689774],"about_ca_topic_score_codex":0.0006733894,"about_ca_topic_score_gemma":0.001219719,"teacher_disagreement_score":0.004106642,"about_ca_system_score_codex":0.00050257833,"about_ca_system_score_gemma":0.00034630197,"threshold_uncertainty_score":0.013738096},"labels":[],"label_agreement":null},{"id":"W4308752838","doi":"10.5802/alco.236","title":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mo>(</mml:mo> <mml:msub> <mml:mi mathvariant=\"normal\">GL</mml:mi> <mml:mi>k</mml:mi> </mml:msub> <mml:mo>×</mml:mo> <mml:msub> <mml:mi mathvariant=\"normal\">Sym</mml:mi> <mml:mi>n</mml:mi> </mml:msub> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> -modules and Nabla of hook-indexed Schur functions","year":2022,"lang":"lv","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"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":"Conjecture; Context (archaeology); Mathematics; Combinatorics; Algorithm","score_opus":0.01694329468127325,"score_gpt":0.23486837321219553,"score_spread":0.21792507853092227,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4308752838","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":[0.1430591,0.0007114175,0.47403806,0.0019076396,0.0005248105,0.00029973953,0.004301694,0.008870758,0.3662868],"genre_scores_gemma":[0.6439609,0.0012449627,0.13656569,0.0010055968,0.00043241438,0.0002869576,0.0076302574,0.0047255917,0.20414768],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99916816,0.00017397603,0.000059351598,0.00018293229,0.00024812823,0.00016754742],"domain_scores_gemma":[0.99897385,0.00021719046,0.0001078098,0.0003362975,0.00018741978,0.00017745698],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008067118,0.00063579297,0.00045142637,0.0016629464,0.0009803141,0.00318958,0.0011324012,0.00053698407,0.040115833],"category_scores_gemma":[0.001730994,0.00043984354,0.0008138969,0.0016423365,0.0016819639,0.0052448367,0.002155781,0.0015696663,0.025484862],"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":[0.00012059909,0.000052493902,0.0008145607,0.00015344047,0.000013767418,0.0002163909,0.0012063769,0.0009114876,0.006793216,0.90730244,0.020886809,0.061528414],"study_design_scores_gemma":[0.000031725704,0.00013523687,0.0028008479,0.00006978807,0.000024919369,0.0008487118,0.0008173779,0.008834288,0.014835942,0.6951269,0.27636,0.00011427241],"about_ca_topic_score_codex":0.0016379725,"about_ca_topic_score_gemma":0.0018178879,"teacher_disagreement_score":0.040115833,"about_ca_system_score_codex":0.0011432426,"about_ca_system_score_gemma":0.0006981535,"threshold_uncertainty_score":0.13420081},"labels":[],"label_agreement":null},{"id":"W4308754095","doi":"10.5802/alco.243","title":"Plethysm and the algebra of uniform block permutations","year":2022,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":12,"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; American Institute of Mathematics; National Science Foundation","keywords":"Subalgebra; Mathematics; Cellular algebra; Algebra over a field; Filtered algebra; Algebra representation; Symmetric algebra; Permutation (music); Combinatorics; Pure mathematics","score_opus":0.019291937666975803,"score_gpt":0.2703783859107274,"score_spread":0.2510864482437516,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4308754095","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":[0.7309154,0.0009961547,0.18558192,0.0009079933,0.0002501274,0.000060904204,0.00020491306,0.00032022383,0.080762334],"genre_scores_gemma":[0.97698975,0.00036388295,0.008572687,0.000111735855,0.0002004272,0.000035957888,0.00011599582,0.000053375144,0.013556036],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995797,0.00010494932,0.000012046098,0.000060631377,0.00013483189,0.000107747284],"domain_scores_gemma":[0.99957603,0.00012632678,0.00008434235,0.0000682837,0.0000696217,0.00007534955],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005003824,0.0004084514,0.000492528,0.0010512833,0.0010633031,0.0015521175,0.0005784406,0.00044848805,0.0062984135],"category_scores_gemma":[0.0016605826,0.00016904592,0.00049720635,0.00082825514,0.0019910329,0.0031060467,0.0010942828,0.00088732416,0.0010566994],"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":[0.000014310082,0.000010643593,0.00009223678,0.000010466365,0.0000020034875,0.000036505746,0.000084447005,0.0010094186,0.00062719575,0.99491996,0.00027970382,0.002912998],"study_design_scores_gemma":[0.0000071175673,0.000024573492,0.00013679289,0.0000074473187,0.000003314313,0.00007691673,0.00006601726,0.0113008,0.0008328453,0.9856058,0.001930449,0.00000791965],"about_ca_topic_score_codex":0.0009209307,"about_ca_topic_score_gemma":0.0007318723,"teacher_disagreement_score":0.0062984135,"about_ca_system_score_codex":0.00066178094,"about_ca_system_score_gemma":0.0006246265,"threshold_uncertainty_score":0.021070302},"labels":[],"label_agreement":null},{"id":"W4311894625","doi":"10.5802/alco.269","title":"Combinatorial and Algebraic Enumeration: a survey of the work of Ian P. Goulden and David M. Jackson","year":2022,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"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; Canada Research Chairs; National Science Foundation","keywords":"Enumeration; Algebraic number; Context (archaeology); Set (abstract data type); Field (mathematics); Algebra over a field; Computer science; Mathematics; Combinatorics; Pure mathematics; Biology","score_opus":0.033901213918126956,"score_gpt":0.2746628791764476,"score_spread":0.24076166525832066,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4311894625","genre_codex":"review","genre_gemma":"review","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"review","genre_consensus":"review","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0013845657,0.94732314,0.008302806,0.015112488,0.002221002,0.000017534143,0.00007792697,0.00006450725,0.025496101],"genre_scores_gemma":[0.0100185275,0.9620829,0.008900764,0.005213892,0.0059362655,0.000037504342,0.00020783146,0.0000941356,0.0075081657],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.9982193,0.0006026057,0.00012774504,0.00028087155,0.00060927833,0.00016014677],"domain_scores_gemma":[0.99358267,0.0045256442,0.00017377402,0.00033031098,0.00095153146,0.0004360666],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038680807,0.00085834425,0.0014421963,0.0055769417,0.0019603856,0.0038331498,0.0010591662,0.0015783776,0.0058111483],"category_scores_gemma":[0.007134968,0.00093325466,0.0006803734,0.0094751455,0.004391686,0.0110383155,0.0031954767,0.004416292,0.0031096616],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047521567,0.000114808834,0.0009946311,0.0029153328,0.000035949997,0.000103097875,0.0010046936,0.0014650982,0.00040612477,0.36041987,0.19730487,0.43518803],"study_design_scores_gemma":[0.0000073066244,0.00003288889,0.00062466477,0.0016977673,0.000008671958,0.00032719623,0.00038513268,0.00036098735,0.0001215951,0.09269217,0.9037114,0.000030308287],"about_ca_topic_score_codex":0.0024033322,"about_ca_topic_score_gemma":0.0030356075,"teacher_disagreement_score":0.0058111483,"about_ca_system_score_codex":0.0026226367,"about_ca_system_score_gemma":0.0035280122,"threshold_uncertainty_score":0.020456672},"labels":[],"label_agreement":null},{"id":"W4313430527","doi":"10.5802/alco.253","title":"On the <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>k</mml:mi> </mml:math> -measure of partitions and distinct partitions","year":2022,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":1,"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":"Killam Trusts; Simons Foundation","keywords":"Measure (data warehouse); Mathematics; Partition (number theory); Function (biology); Combinatorics; Discrete mathematics; Computer science; Data mining","score_opus":0.030615742588173584,"score_gpt":0.26086915545204664,"score_spread":0.23025341286387305,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4313430527","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":[0.03501314,0.0033773524,0.4890797,0.009820399,0.0022436639,0.00018056307,0.0019667502,0.0011952061,0.45712337],"genre_scores_gemma":[0.575356,0.0137002105,0.22994307,0.010676222,0.006128371,0.00084595435,0.005925631,0.0035597603,0.1538647],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99699295,0.00075681927,0.0001967631,0.0007640721,0.000952021,0.00033730015],"domain_scores_gemma":[0.9956286,0.0019108874,0.00048561406,0.000890225,0.0007571067,0.00032745767],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002634286,0.0013071639,0.0014017894,0.004624805,0.0037960494,0.0057861605,0.0022266156,0.0018044431,0.025542427],"category_scores_gemma":[0.008638063,0.00084186665,0.00203731,0.00699293,0.005446332,0.015793713,0.00654184,0.0073320772,0.0153505225],"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":[0.000007938839,0.000014149353,0.00009915315,0.00001840899,0.0000023949442,0.0000482423,0.0002304817,0.00013976994,0.00026773952,0.9858085,0.0063508265,0.0070123984],"study_design_scores_gemma":[0.0000112831385,0.00001734665,0.0007142949,0.00006382952,0.000011400908,0.00039084477,0.00013068122,0.0027051282,0.0010291105,0.93479216,0.060085475,0.00004845504],"about_ca_topic_score_codex":0.0034815974,"about_ca_topic_score_gemma":0.0036260018,"teacher_disagreement_score":0.025542427,"about_ca_system_score_codex":0.0032651904,"about_ca_system_score_gemma":0.0014714993,"threshold_uncertainty_score":0.08544797},"labels":[],"label_agreement":null},{"id":"W4386245491","doi":"10.5802/alco.292","title":"Arkhipov’s theorem, graph minors, and linear system nonlocal games","year":2023,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":1,"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":"Mathematics; Robertson–Seymour theorem; Undecidable problem; Graph minor; Discrete mathematics; Combinatorics; Cubic graph; Graph; Voltage graph; Line graph; 1-planar graph","score_opus":0.011329482414401394,"score_gpt":0.223211001051276,"score_spread":0.2118815186368746,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386245491","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":[0.60769534,0.00049961027,0.32972723,0.0022451063,0.00009267377,0.00012039103,0.0002991112,0.00032503845,0.058995526],"genre_scores_gemma":[0.9717541,0.0001517995,0.0203547,0.00017004741,0.00005337121,0.00010788233,0.00016378037,0.000047939793,0.0071962997],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993144,0.00018634179,0.000035985504,0.00019355537,0.00014271236,0.00012704825],"domain_scores_gemma":[0.99816245,0.0009939888,0.00020179803,0.0002545748,0.00018409577,0.00020307994],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007050753,0.0003948836,0.00056789943,0.00080261263,0.0011719664,0.0014267932,0.0010353309,0.00058888993,0.004030475],"category_scores_gemma":[0.0028541866,0.00020529816,0.000773438,0.0006084609,0.0035009426,0.0031964642,0.0017970153,0.0015475544,0.0004468232],"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":[0.000020908234,0.00001896752,0.0003167648,0.0000239386,0.0000055613095,0.000038446226,0.0002749726,0.0014782257,0.00075567985,0.99371535,0.00040781774,0.002943242],"study_design_scores_gemma":[0.000019220588,0.000019307081,0.00019057131,0.000005308369,0.000004780902,0.00004556832,0.00009348969,0.008186934,0.00082332623,0.9890182,0.0015856753,0.000007680763],"about_ca_topic_score_codex":0.001519535,"about_ca_topic_score_gemma":0.000929628,"teacher_disagreement_score":0.004030475,"about_ca_system_score_codex":0.0013786553,"about_ca_system_score_gemma":0.0006361303,"threshold_uncertainty_score":0.013483226},"labels":[],"label_agreement":null},{"id":"W4386251967","doi":"10.5802/alco.295","title":"Geometric vertex decomposition and liaison for toric ideals of graphs","year":2023,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Commutative Algebra and Its Applications","field":"Mathematics","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":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Universities Space Research Association","keywords":"Vertex (graph theory); Combinatorics; Decomposition; Mathematics; Graph; Chemistry","score_opus":0.050100039107362125,"score_gpt":0.36124423007753026,"score_spread":0.31114419097016816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386251967","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":[0.7779306,0.00034956945,0.14400493,0.0007074223,0.000087651446,0.00007034641,0.00016983302,0.0004933651,0.07618631],"genre_scores_gemma":[0.9857767,0.00012500888,0.008446784,0.000067555484,0.00005124218,0.0000270254,0.0001575582,0.00006474122,0.0052833147],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992586,0.00013059373,0.000033983404,0.00018044705,0.00015363611,0.00024276804],"domain_scores_gemma":[0.9992059,0.00019136371,0.00012291342,0.0001550562,0.00009963719,0.00022519765],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006183367,0.00046049352,0.00042042628,0.0013055681,0.0019931241,0.001968387,0.00066612754,0.00042992446,0.0048777433],"category_scores_gemma":[0.0011497199,0.0002870412,0.0009506942,0.0005364888,0.0048868363,0.003938371,0.002282359,0.0016606174,0.0005364157],"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":[0.00003827357,0.00001542255,0.0005087052,0.000023615872,0.000005013123,0.00016161593,0.00065271097,0.0012475682,0.0022021201,0.9915177,0.00030369093,0.003323644],"study_design_scores_gemma":[0.000015829251,0.000054142463,0.00068921066,0.00001485307,0.000014276159,0.00023991837,0.0007923349,0.0065925317,0.0064794887,0.9802337,0.0048513603,0.000022388125],"about_ca_topic_score_codex":0.001112131,"about_ca_topic_score_gemma":0.0010476401,"teacher_disagreement_score":0.0048777433,"about_ca_system_score_codex":0.0012902766,"about_ca_system_score_gemma":0.0005364822,"threshold_uncertainty_score":0.016317666},"labels":[],"label_agreement":null},{"id":"W4386254087","doi":"10.5802/alco.291","title":"Maximality of subfields as cliques in Cayley graphs over finite fields","year":2023,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"University of British Columbia","keywords":"Cayley graph; Mathematics; Conjecture; Finite field; Combinatorics; Discrete mathematics; Field (mathematics); Pure mathematics; Graph","score_opus":0.05908903897677736,"score_gpt":0.36496915779886735,"score_spread":0.30588011882209,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386254087","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":[0.94398534,0.00035672035,0.03421637,0.0008315309,0.000053206477,0.00002831588,0.00019556526,0.00011466675,0.02021823],"genre_scores_gemma":[0.9914745,0.00016483845,0.005401207,0.00006730374,0.000055282988,0.000018934154,0.00013811175,0.000022200264,0.0026575178],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995975,0.0000907817,0.000015036179,0.00013078126,0.00006452673,0.00010139066],"domain_scores_gemma":[0.99754494,0.001252421,0.00035050407,0.00023405232,0.0001607074,0.00045749283],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00064364664,0.00032627897,0.00048619814,0.0012940222,0.0014456318,0.001972546,0.0005345341,0.0005207242,0.003015765],"category_scores_gemma":[0.0020782007,0.00038593405,0.0006490855,0.00085552596,0.0020587083,0.0038781902,0.0011019633,0.0011982699,0.00017148683],"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":[0.00011119562,0.000035392382,0.0033629448,0.00006451289,0.000018301153,0.00034894753,0.000918389,0.0023572983,0.005983431,0.9805947,0.0010569999,0.00514787],"study_design_scores_gemma":[0.000038066875,0.000040233175,0.0023941726,0.000023846964,0.000030481508,0.0005115543,0.0005062722,0.016313097,0.004025271,0.97078604,0.005307256,0.000023639192],"about_ca_topic_score_codex":0.0016089227,"about_ca_topic_score_gemma":0.0023898555,"teacher_disagreement_score":0.003015765,"about_ca_system_score_codex":0.0010139173,"about_ca_system_score_gemma":0.0004214405,"threshold_uncertainty_score":0.010088682},"labels":[],"label_agreement":null},{"id":"W4388465426","doi":"10.5802/alco.298","title":"On the anisotropy theorem of Papadakis and Petrotou","year":2023,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":8,"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":"Conjecture; Homology (biology); SPHERES; Anisotropy; Mathematics; Combinatorics; Pure mathematics; Physics; Quantum mechanics; Chemistry; Amino acid","score_opus":0.03902705695899656,"score_gpt":0.29810506661695874,"score_spread":0.2590780096579622,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388465426","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":[0.71032125,0.005871463,0.12624806,0.008701228,0.000418481,0.000075476404,0.00049035484,0.00048911065,0.1473845],"genre_scores_gemma":[0.9812967,0.0014449562,0.0073436373,0.0002797707,0.00037470748,0.00003711901,0.00019353554,0.00007579994,0.008953841],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99911517,0.00013603132,0.00003868453,0.00017814922,0.00030607777,0.00022584327],"domain_scores_gemma":[0.9973117,0.0012994655,0.00039132472,0.0003289909,0.00029463848,0.00037390762],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014474225,0.00051036855,0.0006564391,0.0017265207,0.0020701017,0.0017851723,0.00080800045,0.00066234986,0.0056904647],"category_scores_gemma":[0.003935269,0.0004086535,0.0008530039,0.0012234534,0.0037775484,0.005308674,0.0031205276,0.0025087104,0.000760209],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006416556,0.000022060025,0.0015078722,0.000059880844,0.000007862909,0.00015992107,0.00042453152,0.001638804,0.0011693366,0.98800594,0.0018570648,0.0050826375],"study_design_scores_gemma":[0.000036627935,0.000045880864,0.0030199166,0.000039277904,0.00002469113,0.00036045103,0.00035434533,0.010910832,0.0022513596,0.97279435,0.0101313265,0.000030895804],"about_ca_topic_score_codex":0.0045608566,"about_ca_topic_score_gemma":0.0018343315,"teacher_disagreement_score":0.0056904647,"about_ca_system_score_codex":0.0017405933,"about_ca_system_score_gemma":0.000583939,"threshold_uncertainty_score":0.019036472},"labels":[],"label_agreement":null},{"id":"W4390659634","doi":"10.5802/alco.322","title":"A <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>q</mml:mi> </mml:math> -analog of the Markoff injectivity conjecture holds","year":2024,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":25,"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; Agence Nationale de la Recherche","keywords":"Conjecture; Uniqueness; Mathematics; Christoffel symbols; Pure mathematics; Discrete mathematics; Algebra over a field; Mathematical analysis","score_opus":0.011110837522224365,"score_gpt":0.2229008874173038,"score_spread":0.21179004989507944,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390659634","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":[0.034409378,0.0014824547,0.26235348,0.034086578,0.004102638,0.0005677345,0.008491752,0.008131575,0.6463744],"genre_scores_gemma":[0.51449597,0.005237893,0.10104154,0.0145688355,0.0031104672,0.0009550863,0.017285302,0.00595172,0.33735314],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99822646,0.00032140518,0.00010903883,0.0005515813,0.0005506584,0.00024092874],"domain_scores_gemma":[0.99754035,0.00075938413,0.0002687498,0.00058252964,0.0006372343,0.00021172999],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019046504,0.0014014769,0.0010096851,0.0011674111,0.0024029685,0.0041152122,0.0014434988,0.0020972935,0.16139945],"category_scores_gemma":[0.0042799353,0.00088298315,0.001441927,0.0020720125,0.0025491961,0.010533837,0.0033674878,0.0044388324,0.039475612],"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":[0.0002195365,0.00023452213,0.0011380691,0.0002958997,0.000044131262,0.00037658084,0.00062197674,0.00061005715,0.0052817552,0.7729636,0.16499805,0.05321577],"study_design_scores_gemma":[0.0001678369,0.00016692161,0.0028032518,0.00015434119,0.000050142524,0.0011620885,0.00047575854,0.006475267,0.014365299,0.50275606,0.47125918,0.00016379206],"about_ca_topic_score_codex":0.004069272,"about_ca_topic_score_gemma":0.0043653655,"teacher_disagreement_score":0.16139945,"about_ca_system_score_codex":0.0021350128,"about_ca_system_score_gemma":0.0012480672,"threshold_uncertainty_score":0.539935},"labels":[],"label_agreement":null},{"id":"W4390659701","doi":"10.5802/alco.321","title":"Quivers of stylic algebras","year":2024,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algebra over a field; Pure mathematics; Mathematics","score_opus":0.031181937339787216,"score_gpt":0.30977361333681586,"score_spread":0.27859167599702866,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390659701","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":[0.3312806,0.0020280045,0.17915384,0.0010099359,0.0005560053,0.00020826889,0.000755043,0.0006657947,0.48434252],"genre_scores_gemma":[0.913196,0.0010382938,0.025996864,0.00046158402,0.0002636268,0.00016832032,0.00061684975,0.00013129908,0.058127142],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992587,0.00014957007,0.000050625375,0.000109122455,0.0002810511,0.00015093146],"domain_scores_gemma":[0.99952674,0.00009226987,0.00005555118,0.000059417078,0.00017153333,0.000094447176],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006199157,0.00044843953,0.0005753244,0.002525044,0.0026926757,0.004945122,0.0006140665,0.00064278935,0.009825569],"category_scores_gemma":[0.0011672521,0.00047733216,0.0006316424,0.0014469554,0.0019112625,0.003452628,0.0021333282,0.0013518957,0.0022343358],"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":[0.000004964627,0.000008077412,0.00009699252,0.000012641591,0.0000037660839,0.00004842742,0.00013837313,0.00016139656,0.0004946396,0.9953204,0.00061441096,0.003096036],"study_design_scores_gemma":[0.000009581749,0.000015549569,0.00027984116,0.000016426939,0.0000120409195,0.0001367177,0.00013363575,0.0017389028,0.0010668163,0.9800733,0.016504299,0.000012994258],"about_ca_topic_score_codex":0.0011888648,"about_ca_topic_score_gemma":0.0019470712,"teacher_disagreement_score":0.009825569,"about_ca_system_score_codex":0.0011129779,"about_ca_system_score_gemma":0.0006342391,"threshold_uncertainty_score":0.032869756},"labels":[],"label_agreement":null},{"id":"W4396243126","doi":"10.5802/alco.344","title":"Bivariate <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>P</mml:mi> </mml:math> -polynomial association schemes","year":2024,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":8,"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 de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Centre National de la Recherche Scientifique; Agence Nationale de la Recherche; American Heart Association","keywords":"Association scheme; Bivariate analysis; Generalization; Mathematics; Polynomial; Intersection (aeronautics); Association (psychology); Discrete mathematics; Combinatorics; Statistics; Mathematical analysis; Cartography; Psychology","score_opus":0.012333815138695157,"score_gpt":0.2275865630329706,"score_spread":0.21525274789427543,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396243126","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":[0.018353045,0.00042465358,0.82610005,0.0029236951,0.0010902158,0.0005665815,0.0062176357,0.0062212655,0.13810278],"genre_scores_gemma":[0.31447658,0.002272811,0.46887782,0.0023733554,0.0013865249,0.0013879635,0.016774831,0.005799209,0.1866509],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99189055,0.001995918,0.000944541,0.0015124277,0.0024061138,0.0012504332],"domain_scores_gemma":[0.98883086,0.0021873247,0.0008776204,0.005243513,0.0021541787,0.0007065425],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0067347335,0.0014289885,0.0014453778,0.002161974,0.0032332481,0.008477087,0.0033275667,0.0022578945,0.05246158],"category_scores_gemma":[0.01566037,0.0015735879,0.002433515,0.0050025694,0.003677637,0.017019276,0.008469708,0.007976667,0.036500223],"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":[0.00016289073,0.00007363385,0.00051634066,0.00015762758,0.000014766482,0.00011874208,0.0004327233,0.0014214311,0.0024155898,0.9231071,0.03771923,0.033859935],"study_design_scores_gemma":[0.00010325963,0.00010378425,0.0010021548,0.0001681309,0.00005450312,0.0006757539,0.00045673831,0.011827508,0.009724599,0.531882,0.44380596,0.000195515],"about_ca_topic_score_codex":0.0040870504,"about_ca_topic_score_gemma":0.004187353,"teacher_disagreement_score":0.05246158,"about_ca_system_score_codex":0.0036634824,"about_ca_system_score_gemma":0.0055011003,"threshold_uncertainty_score":0.17550147},"labels":[],"label_agreement":null},{"id":"W4402189698","doi":"10.5802/alco.366","title":"On the growth of the Jacobians in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msubsup> <mml:mi>ℤ</mml:mi> <mml:mi>p</mml:mi> <mml:mi>l</mml:mi> </mml:msubsup> </mml:math> -voltage covers of graphs","year":2024,"lang":"lv","type":"article","venue":"Algebraic Combinatorics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"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; Ludwig-Maximilians-Universität München; Université Laval","keywords":"Conjecture; Mathematics; Graph; Combinatorics; Discrete mathematics","score_opus":0.015372402734033574,"score_gpt":0.2326007483816038,"score_spread":0.21722834564757024,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402189698","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":[0.9256297,0.00065731705,0.029174773,0.0016824701,0.00007780768,0.0000545387,0.00050211366,0.00034777442,0.041873433],"genre_scores_gemma":[0.9771936,0.0008385736,0.0055658286,0.00012600845,0.0002208796,0.00006600933,0.0007692953,0.0001932359,0.015026554],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990459,0.00017535989,0.000040173,0.00016921468,0.00030459484,0.00026476305],"domain_scores_gemma":[0.9920258,0.0046297526,0.000872229,0.00038745865,0.00083872007,0.0012459597],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00086158345,0.0007628553,0.0006529167,0.003245109,0.0018015665,0.0032096119,0.00076804,0.0008473392,0.0072432966],"category_scores_gemma":[0.010358791,0.00046445802,0.00080687786,0.0012129523,0.0022802132,0.0040273834,0.0017961652,0.0013510925,0.00088388054],"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":[0.00033749637,0.00015632977,0.015153897,0.00028643917,0.000058512072,0.0016321877,0.0043051946,0.032026753,0.025609724,0.8646833,0.010153233,0.045596994],"study_design_scores_gemma":[0.00007469671,0.00023874469,0.023679405,0.00012899052,0.00009659718,0.0018274206,0.0016896508,0.22340386,0.02010836,0.7118407,0.016814927,0.0000967792],"about_ca_topic_score_codex":0.005840091,"about_ca_topic_score_gemma":0.0039436887,"teacher_disagreement_score":0.0072432966,"about_ca_system_score_codex":0.0020613845,"about_ca_system_score_gemma":0.00066865864,"threshold_uncertainty_score":0.024231255},"labels":[],"label_agreement":null},{"id":"W4402193221","doi":"10.5802/alco.370","title":"The base size of the symmetric group acting on subsets","year":2024,"lang":"lv","type":"article","venue":"Algebraic Combinatorics","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":4,"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; University of St Andrews","keywords":"Base (topology); Permutation group; Combinatorics; Permutation (music); Group (periodic table); Mathematics; Symmetric group; Primitive permutation group; Set (abstract data type); Pointwise; Discrete mathematics; Cyclic permutation; Computer science; Physics","score_opus":0.007844251260929224,"score_gpt":0.20200337605478239,"score_spread":0.19415912479385317,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402193221","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":[0.58868885,0.0020185378,0.13216962,0.004956899,0.001545315,0.00024532265,0.0038908133,0.0017150979,0.2647695],"genre_scores_gemma":[0.950394,0.00057780655,0.013889058,0.00044655564,0.00074327947,0.00025960934,0.0016249238,0.0003591409,0.031705584],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987049,0.0002154252,0.00008830196,0.0003161132,0.0003494701,0.0003257663],"domain_scores_gemma":[0.99720144,0.0009595686,0.00025125235,0.00045456673,0.0004502776,0.00068279495],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012343887,0.0007274325,0.0011214612,0.001607916,0.0014569756,0.0040378687,0.0012954441,0.0010615112,0.032773595],"category_scores_gemma":[0.0040658507,0.0004080058,0.0006219056,0.0007176388,0.00198435,0.005159599,0.002508535,0.0016157789,0.005887699],"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":[0.00045753663,0.000049214406,0.00056236493,0.00011039784,0.000021569454,0.00020726975,0.0005309071,0.0008392356,0.008793488,0.96063083,0.0064027053,0.021394422],"study_design_scores_gemma":[0.000095366595,0.00026017442,0.0011514591,0.00006762813,0.00003299539,0.00031266848,0.00048413043,0.0044046124,0.013133132,0.9498684,0.030137923,0.000051490395],"about_ca_topic_score_codex":0.00057861017,"about_ca_topic_score_gemma":0.00038355624,"teacher_disagreement_score":0.032773595,"about_ca_system_score_codex":0.0009852964,"about_ca_system_score_gemma":0.0008598059,"threshold_uncertainty_score":0.10963857},"labels":[],"label_agreement":null},{"id":"W4402197980","doi":"10.5802/alco.363","title":"Cameron–Liebler sets in permutation groups","year":2024,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"Vlaamse regering; Natural Sciences and Engineering Research Council of Canada; Fonds Wetenschappelijk Onderzoek","keywords":"Transitive relation; Set (abstract data type); Permutation (music); Permutation group; Coset; Mathematics; Combinatorics; Function (biology); Primitive permutation group; Computer science; Cyclic permutation; Symmetric group; Biology; Genetics; Physics","score_opus":0.05393017189526066,"score_gpt":0.3610549727244782,"score_spread":0.3071248008292175,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402197980","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":[0.7545126,0.000811257,0.16621785,0.00092915323,0.00020871196,0.000099691715,0.00023839223,0.0002814793,0.076700784],"genre_scores_gemma":[0.9589119,0.0003260556,0.02888876,0.00019665084,0.00012667706,0.0001220736,0.00017889765,0.000063075386,0.011185984],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990295,0.00031122178,0.000047581616,0.00014855797,0.00028204822,0.00018106031],"domain_scores_gemma":[0.99889684,0.0004604687,0.00019945293,0.00009761332,0.00009285432,0.0002527701],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001326683,0.00097509124,0.0005903989,0.003707052,0.0021256872,0.0027031526,0.00071296934,0.0010061858,0.004792817],"category_scores_gemma":[0.0027059666,0.00047402963,0.00073308434,0.0018486539,0.0035004898,0.003484694,0.002281,0.0016754518,0.0006111303],"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":[0.000016964372,0.000005697482,0.00019147086,0.000010099774,0.000002789686,0.00005088067,0.00025528535,0.0005744309,0.0007106455,0.9963797,0.00017681075,0.0016252795],"study_design_scores_gemma":[0.000013071934,0.0000337187,0.0004211151,0.000018606677,0.0000063326443,0.00017015173,0.00015845025,0.0053940946,0.0015000467,0.9884918,0.0037696946,0.000023036011],"about_ca_topic_score_codex":0.0007109688,"about_ca_topic_score_gemma":0.0006240993,"teacher_disagreement_score":0.004792817,"about_ca_system_score_codex":0.0013846476,"about_ca_system_score_gemma":0.00037962478,"threshold_uncertainty_score":0.01603353},"labels":[],"label_agreement":null},{"id":"W4403939241","doi":"10.5802/alco.375","title":"The linear system for Sudoku and a fractional completion threshold","year":2024,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"graph theory and CDMA systems","field":"Engineering","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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Applied mathematics; Calculus (dental); Medicine; Orthodontics","score_opus":0.009174809248733927,"score_gpt":0.2129243991810131,"score_spread":0.20374958993227918,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403939241","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":[0.7292185,0.0007054291,0.1978106,0.0034542223,0.0002418528,0.00008965424,0.00018821922,0.00036181597,0.067929804],"genre_scores_gemma":[0.97295094,0.00019684195,0.016423378,0.0003329585,0.000085333624,0.000092029055,0.00009694737,0.00007946659,0.009742177],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995908,0.00012744372,0.000009724999,0.00005025222,0.00009860436,0.00012316003],"domain_scores_gemma":[0.99912006,0.00042921174,0.00011026979,0.00010856281,0.00007947057,0.0001523778],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00064451894,0.00048349472,0.0007205853,0.0007070006,0.0010356382,0.0015175735,0.000760339,0.0011341128,0.0069242516],"category_scores_gemma":[0.003970427,0.00034490446,0.000547437,0.0003716385,0.0021310193,0.0017763391,0.0016371562,0.0016925716,0.0005519421],"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":[0.000054261767,0.000031965992,0.0003512243,0.000045575744,0.0000137595125,0.00019700245,0.00017818356,0.02715519,0.0021301075,0.964916,0.002389529,0.0025371513],"study_design_scores_gemma":[0.000041071056,0.00003237961,0.00029968802,0.000021005711,0.0000072049133,0.00014157272,0.00017180658,0.34922642,0.0011417163,0.6474111,0.0014787134,0.000027275622],"about_ca_topic_score_codex":0.0023078541,"about_ca_topic_score_gemma":0.001827142,"teacher_disagreement_score":0.0069242516,"about_ca_system_score_codex":0.001015433,"about_ca_system_score_gemma":0.0010871694,"threshold_uncertainty_score":0.023163915},"labels":[],"label_agreement":null},{"id":"W4406150722","doi":"10.5802/alco.386","title":"Torsors and Tilings from Toric Toggling","year":2025,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"semigroups and automata theory","field":"Computer Science","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":"Banff International Research Station for Mathematical Innovation and Discovery; Harvard University; National Science Foundation","keywords":"Computer science","score_opus":0.0021959821081968646,"score_gpt":0.19712789959254468,"score_spread":0.19493191748434782,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406150722","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":[0.78087926,0.00068104384,0.09311663,0.0007079271,0.00023462853,0.0000771343,0.00024756716,0.0005207577,0.123535],"genre_scores_gemma":[0.9818471,0.00021511507,0.008428953,0.000079722704,0.00005781489,0.000049558155,0.00011296011,0.00007613551,0.009132604],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997851,0.000031336145,0.00001423875,0.000050418013,0.00006035259,0.00005864286],"domain_scores_gemma":[0.99958354,0.000111121226,0.0000752051,0.00009234307,0.000040415634,0.000097449025],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018474052,0.00022977777,0.00025008444,0.00074065523,0.001105446,0.0013067295,0.00027498795,0.00041656,0.005785741],"category_scores_gemma":[0.0009149109,0.00018205613,0.000535549,0.00026350876,0.0023985582,0.0018244296,0.0012674828,0.0005917253,0.000480118],"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":[0.00002642402,0.000008812917,0.00042916197,0.000026593045,0.0000040827285,0.00020494606,0.0006122435,0.0027596648,0.0028147318,0.98725486,0.00063337834,0.0052251527],"study_design_scores_gemma":[0.00001432319,0.00003235396,0.0007794182,0.000020771247,0.000009917931,0.00033803488,0.00055411656,0.01346809,0.0032452897,0.9703178,0.01119895,0.000020864181],"about_ca_topic_score_codex":0.001042964,"about_ca_topic_score_gemma":0.0010113656,"teacher_disagreement_score":0.005785741,"about_ca_system_score_codex":0.0006693023,"about_ca_system_score_gemma":0.0003147391,"threshold_uncertainty_score":0.019355178},"labels":[],"label_agreement":null},{"id":"W4406150933","doi":"10.5802/alco.387","title":"A pair of Garside shadows","year":2025,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","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":"Natural Sciences and Engineering Research Council of Canada; Narodowe Centrum Nauki; National Science Foundation","keywords":"Medicine; Computer science","score_opus":0.023898408438009208,"score_gpt":0.3255507842611078,"score_spread":0.30165237582309856,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406150933","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":[0.71586466,0.00046875133,0.1553101,0.00035094548,0.00035888623,0.00006409849,0.0003499637,0.0007885102,0.1264442],"genre_scores_gemma":[0.9532877,0.00017990776,0.02689079,0.00017926686,0.000061883766,0.000030194387,0.00029948459,0.00021765975,0.01885299],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995653,0.0000369184,0.000016344862,0.00012994696,0.000119839875,0.00013159701],"domain_scores_gemma":[0.99906486,0.00025444073,0.00006832641,0.00025468375,0.00013428557,0.00022330585],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026493863,0.0004705902,0.00074831356,0.0008066637,0.0013957808,0.0014494986,0.00038298004,0.00050379324,0.012088444],"category_scores_gemma":[0.0012700865,0.00043168542,0.00063263136,0.00067557464,0.0017426338,0.0022819713,0.001958821,0.0012719963,0.0014458176],"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":[0.0005514431,0.00006586262,0.0047883233,0.00013064513,0.000030444098,0.0016809992,0.0016588247,0.0016591173,0.045332517,0.8967788,0.003075003,0.044248067],"study_design_scores_gemma":[0.000063299834,0.0003891219,0.007333972,0.000096571915,0.000065358785,0.0029493612,0.0018379933,0.01143556,0.049213164,0.8750729,0.051475387,0.00006740417],"about_ca_topic_score_codex":0.00037645176,"about_ca_topic_score_gemma":0.00043266342,"teacher_disagreement_score":0.012088444,"about_ca_system_score_codex":0.00033363386,"about_ca_system_score_gemma":0.00027948845,"threshold_uncertainty_score":0.040439904},"labels":[],"label_agreement":null},{"id":"W4411692196","doi":"10.5802/alco.423","title":"Lattices of acyclic pipe dreams","year":2025,"lang":"lv","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"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; Austrian Science Fund; Agencia Estatal de Investigación; Agence Nationale de la Recherche","keywords":"Psychology","score_opus":0.0195299706701696,"score_gpt":0.30414990688628396,"score_spread":0.28461993621611437,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411692196","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":[0.6251769,0.0006889815,0.13688643,0.0010091439,0.00020135968,0.00015301554,0.0010980899,0.0007392284,0.23404676],"genre_scores_gemma":[0.945114,0.00035428084,0.018348347,0.0001876168,0.000075933625,0.00011759686,0.0010549818,0.0001411962,0.03460601],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993025,0.00013658949,0.00004075944,0.0001503165,0.00018103726,0.00018875052],"domain_scores_gemma":[0.99883634,0.00036158427,0.00017232109,0.00017823475,0.00017721356,0.00027438553],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000393191,0.00040098402,0.00036967176,0.0010849362,0.0016174183,0.0024147308,0.0007248762,0.000501223,0.015698727],"category_scores_gemma":[0.0021742056,0.00043776716,0.0006128451,0.0007429945,0.0019906813,0.003792313,0.0024903729,0.0011400828,0.0013817712],"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":[0.00005966611,0.000015284104,0.0006093952,0.000050676088,0.0000046941677,0.00015264591,0.0004039718,0.0010402041,0.0008638587,0.989659,0.0012140913,0.005926449],"study_design_scores_gemma":[0.000031908166,0.000049106686,0.00097262725,0.000047097255,0.000018995866,0.0003354305,0.0012013305,0.008648042,0.0029616943,0.96046346,0.025239391,0.000030886957],"about_ca_topic_score_codex":0.0029122892,"about_ca_topic_score_gemma":0.0027587963,"teacher_disagreement_score":0.015698727,"about_ca_system_score_codex":0.0012781944,"about_ca_system_score_gemma":0.0005753845,"threshold_uncertainty_score":0.052517474},"labels":[],"label_agreement":null},{"id":"W4411692645","doi":"10.5802/alco.427","title":"A quantum Murnaghan–Nakayama rule for the flag manifold","year":2025,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","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":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Quantum cohomology; Mathematics; Hook; Quantum; Schur polynomial; Partition (number theory); Pure mathematics; Multiplication (music); Class (philosophy); Generalized flag variety; Combinatorics; Cohomology; Computer science; Physics; Macdonald polynomials; Equivariant cohomology; Quantum mechanics","score_opus":0.0311598953834542,"score_gpt":0.3218320512076605,"score_spread":0.2906721558242063,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411692645","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":[0.44909617,0.000589608,0.43260378,0.0013201651,0.0005679933,0.0001478115,0.00022920179,0.00037359665,0.11507175],"genre_scores_gemma":[0.93030155,0.00026391097,0.05209581,0.00027283505,0.00021709262,0.00007192419,0.00009187924,0.00011314335,0.016571712],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99956304,0.000056053068,0.000028109396,0.00010323433,0.00016725279,0.00008230048],"domain_scores_gemma":[0.9996451,0.000078988276,0.000034511995,0.00007240924,0.00010754971,0.00006130436],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000584668,0.0001516382,0.0002306164,0.00073113746,0.0011991018,0.0010781577,0.00044442763,0.0004158181,0.0033232425],"category_scores_gemma":[0.0009850102,0.00017046025,0.00038936065,0.00033128654,0.0018913813,0.002283935,0.0009980985,0.0010705165,0.0007052365],"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":[0.000016226191,0.000013715837,0.00033882822,0.000022855336,0.0000035383089,0.00022061905,0.00031973125,0.00035956304,0.0039920714,0.9836398,0.0007537609,0.010319344],"study_design_scores_gemma":[0.000016301918,0.000067353976,0.0010426199,0.000019589257,0.000012537519,0.00042119127,0.00018061184,0.006529212,0.0063606356,0.969743,0.015572076,0.00003492443],"about_ca_topic_score_codex":0.0007147317,"about_ca_topic_score_gemma":0.0010847802,"teacher_disagreement_score":0.0033232425,"about_ca_system_score_codex":0.00041189068,"about_ca_system_score_gemma":0.000337185,"threshold_uncertainty_score":0.011117399},"labels":[],"label_agreement":null},{"id":"W4413891865","doi":"10.5802/alco.431","title":"Degrees of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>P</mml:mi> </mml:math> -Grothendieck polynomials and regularity of Pfaffian varieties","year":2025,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Commutative Algebra and Its Applications","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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Pfaffian; Mathematics; Mathematics education; Pure mathematics","score_opus":0.024047638347627995,"score_gpt":0.27043251433134496,"score_spread":0.24638487598371697,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413891865","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":[0.56346655,0.0018129388,0.29415184,0.0037416054,0.0004221944,0.000086120664,0.00085677445,0.0002738165,0.1351882],"genre_scores_gemma":[0.96649706,0.0006965224,0.02218027,0.00023170488,0.00019140945,0.000051400166,0.00026438345,0.00009492269,0.009792405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99926096,0.000101902384,0.000043224256,0.00021911348,0.00022130109,0.00015341333],"domain_scores_gemma":[0.99808455,0.0009429593,0.00021052068,0.0003127355,0.00025766835,0.00019158202],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00090012373,0.00044337628,0.00046387815,0.0019358646,0.0013554979,0.0020740663,0.0010466339,0.0005226541,0.0066579445],"category_scores_gemma":[0.0042216736,0.00042714845,0.00094421324,0.0013075811,0.0026878754,0.0052239457,0.0018345927,0.0028276676,0.000990447],"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":[0.00005121818,0.00001779762,0.0017381113,0.000044350167,0.000010282983,0.00007418166,0.00044284886,0.0014998023,0.002357123,0.98090476,0.0014024243,0.011457153],"study_design_scores_gemma":[0.000012078174,0.000026396132,0.0023625952,0.00002473164,0.000021655767,0.00028941353,0.00018283866,0.009660564,0.005637822,0.9720942,0.009646372,0.000041399617],"about_ca_topic_score_codex":0.0011384789,"about_ca_topic_score_gemma":0.0016608174,"teacher_disagreement_score":0.0066579445,"about_ca_system_score_codex":0.0013766282,"about_ca_system_score_gemma":0.0004783976,"threshold_uncertainty_score":0.022273064},"labels":[],"label_agreement":null},{"id":"W4413891905","doi":"10.5802/alco.433","title":"Cluster monomials in graph Laurent phenomenon algebras","year":2025,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Algebraic structures and combinatorial models","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":"Natural Sciences and Engineering Research Council of Canada; Haverford College; University of Minnesota; Harvard University; National Science Foundation","keywords":"Phenomenon; Cluster algebra; Monomial; Mathematics; Graph; Cluster (spacecraft); Laurent polynomial; Combinatorics; Pure mathematics; Computer science; Physics; Epistemology; Philosophy; Quantum mechanics; Quantum; Programming language","score_opus":0.019116274181791442,"score_gpt":0.2908426297751628,"score_spread":0.2717263555933713,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413891905","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":[0.777759,0.00070413615,0.14270617,0.00089788355,0.00019588822,0.00007587978,0.00036370268,0.0003395166,0.07695778],"genre_scores_gemma":[0.9806145,0.00036096756,0.008982229,0.00010564412,0.00013821124,0.00003551255,0.00017170282,0.000045078043,0.009546109],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997589,0.000043237917,0.0000085432175,0.000037790185,0.00008681491,0.00006474274],"domain_scores_gemma":[0.99962056,0.00007645979,0.00006501509,0.000035858175,0.00009328279,0.000108738976],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035509147,0.00029620327,0.000363205,0.0013935926,0.00095736503,0.0011882354,0.00047194932,0.000259567,0.0040337383],"category_scores_gemma":[0.0009273443,0.000163129,0.0003750163,0.0012706709,0.0015186396,0.0019500129,0.00073711586,0.0007870132,0.0005449462],"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":[0.000017081536,0.00000968002,0.00021195995,0.000018710369,0.0000030954138,0.00005795066,0.000111298104,0.0017336761,0.0020964544,0.9923826,0.00064797146,0.0027095021],"study_design_scores_gemma":[0.000012603062,0.000024852441,0.00052041956,0.000008227148,0.000006952602,0.0001183074,0.00014562639,0.015788399,0.001809526,0.9777818,0.0037651965,0.000018077708],"about_ca_topic_score_codex":0.0013993131,"about_ca_topic_score_gemma":0.0015011623,"teacher_disagreement_score":0.0040337383,"about_ca_system_score_codex":0.0007133228,"about_ca_system_score_gemma":0.00053509464,"threshold_uncertainty_score":0.013494194},"labels":[],"label_agreement":null},{"id":"W4415735986","doi":"10.5802/alco.447","title":"Combinatorial flats and Schubert varieties of subspace arrangements","year":2025,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Advanced Combinatorial Mathematics","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":"Centre de Recherches Mathématiques; National Science Foundation","keywords":"Hyperplane; Matroid; Subspace topology; Lattice (music); Variety (cybernetics); Schubert variety; Oriented matroid; Schubert calculus","score_opus":0.01826119698740124,"score_gpt":0.31346262995421037,"score_spread":0.2952014329668091,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415735986","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":[0.80426157,0.00055996206,0.058384374,0.00060485624,0.0001831319,0.00008226817,0.0004493247,0.00035711064,0.13511744],"genre_scores_gemma":[0.978066,0.00019051308,0.008256309,0.00007999805,0.00010088541,0.00004079425,0.00035911938,0.0000497314,0.0128566725],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99864393,0.00028536507,0.00007965641,0.0002591179,0.0003973158,0.0003346456],"domain_scores_gemma":[0.9993074,0.000106389496,0.00012841985,0.00007565413,0.00014154703,0.00024067587],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054382405,0.000493071,0.0004310353,0.0025159495,0.0020198338,0.0039986465,0.0007612184,0.00051928434,0.0056694],"category_scores_gemma":[0.00091030495,0.00046622616,0.0007028446,0.0011592524,0.0035055433,0.0030141755,0.0021280958,0.0012811964,0.0008824508],"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":[0.000034455086,0.000020626941,0.000614745,0.000016577946,0.000005973486,0.0001643439,0.00044975922,0.0014789026,0.001356887,0.98995274,0.0006111031,0.0052938513],"study_design_scores_gemma":[0.00002154918,0.000070345544,0.0020856329,0.000027266917,0.000014448988,0.00042874366,0.001122297,0.009596842,0.0023595144,0.97150403,0.012713424,0.000055910263],"about_ca_topic_score_codex":0.0025262332,"about_ca_topic_score_gemma":0.0024723234,"teacher_disagreement_score":0.0056694,"about_ca_system_score_codex":0.0016910416,"about_ca_system_score_gemma":0.0006401577,"threshold_uncertainty_score":0.01896596},"labels":[],"label_agreement":null}]}