{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":69,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":69,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"0a56c26f64ba","filters":{"venue":"˜The œFibonacci quarterly"}},"results":[{"id":"W2184341947","doi":"10.1080/00150517.2003.12428581","title":"Dynamic One-Pile Nim","year":2003,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Artificial Intelligence in Games","field":"Computer Science","cited_by":22,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Pile; Combinatorics; Combinatorial game theory; Mathematics; Function (biology); Pickup; Class (philosophy); Position (finance); Discrete mathematics; Sequential game; Computer science; Algorithm; Game theory; Mathematical economics; Artificial intelligence","authors":[{"name":"Arthur Holshouser","is_ca":false},{"name":"Harold Reiter","is_ca":true},{"name":"James Rudzinski","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01981811911505928,"gpt":0.2644971356770733,"spread":0.2446790165620141,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003717898,0.0007964714,0.001014522,0.000632289,0.001919927,0.002225298,0.002359607,0.001792588,0.02329103],"category_scores_gemma":[0.001691763,0.0003313857,0.0009147662,0.0007137383,0.001697223,0.00288935,0.002652884,0.001522448,0.003390415],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001166587,"about_ca_system_score_gemma":0.001084195,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007707179,"about_ca_topic_score_gemma":0.001669044,"domain_scores_codex":[0.9993636,0.0001420773,0.00002213841,0.0001312106,0.0001665406,0.0001743782],"domain_scores_gemma":[0.9996046,0.0001115589,0.00003753732,0.00009529973,0.00005415653,0.00009686355],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001412244,0.0001184049,0.0001842206,0.0001464713,0.00002617153,0.0001792702,0.0001384957,0.03379799,0.002218457,0.9264337,0.006136792,0.03047886],"study_design_scores_gemma":[0.0001195623,0.0001088864,0.0001665908,0.000049497,0.00002859418,0.0003244763,0.0001478511,0.1942836,0.003000429,0.7569753,0.04475354,0.00004166487],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09159674,0.0006358561,0.4623357,0.001148383,0.0004163319,0.0005048336,0.0005417593,0.001592247,0.4412282],"genre_scores_gemma":[0.7540209,0.0005101634,0.134948,0.0006033553,0.0001443097,0.0005585717,0.0007528004,0.0003266335,0.1081353],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02329103,"threshold_uncertainty_score":0.0779162,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4403207812","doi":"10.1080/00150517.2011.12428046","title":"Some Identities for <i>r</i> -Fibonacci Numbers","year":2011,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":19,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Fibonacci number; Mathematics; Combinatorics; Genealogy; History","authors":[{"name":"F. T. Howard","is_ca":true},{"name":"Curtis Cooper","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01899849252968624,"gpt":0.2581013687811687,"spread":0.2391028762514825,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001851577,0.0006647618,0.0005543782,0.001577408,0.001959085,0.002601866,0.0006642159,0.001033048,0.006449887],"category_scores_gemma":[0.003099844,0.000336802,0.001169706,0.00169428,0.002011582,0.002646952,0.001204984,0.001875677,0.002694309],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001406285,"about_ca_system_score_gemma":0.0009494908,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001521987,"about_ca_topic_score_gemma":0.001063105,"domain_scores_codex":[0.9991028,0.0001932643,0.0001202252,0.0001538796,0.0002872008,0.0001426864],"domain_scores_gemma":[0.9990435,0.000379204,0.000109489,0.00008636563,0.0002975058,0.00008392098],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000008298507,0.00001065838,0.0001565061,0.00004727357,0.000002399491,0.0001773184,0.00032349,0.0002468756,0.001018068,0.9870887,0.002850256,0.008070036],"study_design_scores_gemma":[0.000007763474,0.00002102449,0.0003901111,0.0000482439,0.000008275912,0.0004480041,0.0001262221,0.002343763,0.001153792,0.9598365,0.03558937,0.00002698532],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1072816,0.01151418,0.331109,0.003974468,0.004043292,0.0003130298,0.001148663,0.0003365739,0.5402792],"genre_scores_gemma":[0.6477361,0.01132081,0.2379906,0.002989666,0.003579928,0.0007053576,0.001242113,0.0003119605,0.09412339],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006449887,"threshold_uncertainty_score":0.021577,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402633272","doi":"10.1080/00150517.2000.12428787","title":"Hypergeometric Functions and Fibonacci Numbers","year":2000,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":17,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"","keywords":"Fibonacci number; Mathematics; Combinatorics","authors":[{"name":"Karl Dilcher","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.005788538023869932,"gpt":0.2297710353078224,"spread":0.2239824972839524,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007637044,0.0007166864,0.0005466783,0.003978228,0.001125359,0.003909283,0.0003959749,0.0008030182,0.0173886],"category_scores_gemma":[0.004021821,0.0002372486,0.0002248421,0.004054494,0.002322081,0.003354375,0.0007265862,0.001142993,0.004656254],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00177067,"about_ca_system_score_gemma":0.0006126101,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001198277,"about_ca_topic_score_gemma":0.0008050657,"domain_scores_codex":[0.9996524,0.0001002723,0.00001905357,0.00005317235,0.000126405,0.00004871154],"domain_scores_gemma":[0.9990766,0.0003928857,0.0001488111,0.00004707454,0.0002169399,0.0001176237],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001152115,0.000003515106,0.0001121933,0.00004222311,0.000002469827,0.00005606519,0.00009428552,0.0003598753,0.0002403818,0.9760736,0.01025211,0.01275167],"study_design_scores_gemma":[0.000004775643,0.00001190857,0.0005559344,0.00003635487,0.000003033306,0.0001740013,0.00006917679,0.001279547,0.000159405,0.9753335,0.02236066,0.00001172909],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1105151,0.03294318,0.09091021,0.01101413,0.006637834,0.00009209612,0.001013241,0.0004556132,0.7464186],"genre_scores_gemma":[0.8129247,0.01647651,0.01935091,0.001398338,0.004800078,0.0002080908,0.0008443703,0.0001608369,0.1438362],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0173886,"threshold_uncertainty_score":0.05817068,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402831261","doi":"10.1080/00150517.2017.12427733","title":"Why do Fibonacci Numbers Appear in Patterns of Growth in Nature?","year":2017,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Materials and Mechanics","field":"Engineering","cited_by":14,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Trinity College","funders":"","keywords":"Fibonacci number; Division (mathematics); Cell division; Genealogy; Biology; Mathematics; Evolutionary biology; Combinatorics; Arithmetic; History; Cell; Genetics","authors":[{"name":"Bruce M. Boman","is_ca":false},{"name":"Thien‐Nam Dinh","is_ca":false},{"name":"Keith Decker","is_ca":false},{"name":"Brooks Emerick","is_ca":true},{"name":"Christopher M. Raymond","is_ca":false},{"name":"Gilberto Schleiniger","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.005196133653325451,"gpt":0.2233749937767451,"spread":0.2181788601234197,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000583926,0.0003751191,0.000414419,0.0009286312,0.0006045495,0.001648264,0.0006389664,0.001221689,0.002438466],"category_scores_gemma":[0.006937426,0.0002940508,0.0004051709,0.0009512423,0.002319069,0.003120656,0.0003540603,0.0007607681,0.0007733488],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007891832,"about_ca_system_score_gemma":0.0002983098,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001791132,"about_ca_topic_score_gemma":0.001476072,"domain_scores_codex":[0.999686,0.00005551776,0.00001925724,0.00009848894,0.0001029125,0.00003769504],"domain_scores_gemma":[0.9982592,0.0009260667,0.0002710009,0.0002271636,0.0002220457,0.00009451813],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000257383,0.00006012392,0.03384173,0.0004070839,0.00007658701,0.001035642,0.003523895,0.02754407,0.04138379,0.7498317,0.01021663,0.1318213],"study_design_scores_gemma":[0.00005532401,0.0001035137,0.02476662,0.0001762407,0.00003523389,0.00157167,0.001112254,0.07136746,0.01889412,0.841796,0.03997257,0.0001489313],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5142409,0.005299577,0.3995563,0.00856764,0.0009382201,0.00008381881,0.0006385737,0.001731952,0.06894302],"genre_scores_gemma":[0.9479959,0.001259691,0.04561337,0.0006542124,0.00008924776,0.00008283135,0.0001337555,0.0001927551,0.003978341],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002438466,"threshold_uncertainty_score":0.008157432,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402831210","doi":"10.1080/00150517.2014.12427876","title":"Three Series for the Generalized Golden Mean","year":2014,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":12,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Series (stratigraphy); Mathematics; Geology; Paleontology","authors":[{"name":"Kevin G. Hare","is_ca":true},{"name":"Helmut Prodinger","is_ca":false},{"name":"Jeffrey Shallit","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01250708719189813,"gpt":0.258033446039301,"spread":0.2455263588474028,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001242391,0.0006633296,0.0006846172,0.002582647,0.0009472999,0.001884418,0.001005291,0.0007965963,0.008417179],"category_scores_gemma":[0.006310757,0.0002182851,0.001011874,0.0009147779,0.002107122,0.002697103,0.001250302,0.001517017,0.001714947],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001606481,"about_ca_system_score_gemma":0.0007106534,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009521028,"about_ca_topic_score_gemma":0.0008258377,"domain_scores_codex":[0.9995377,0.0001087649,0.00002078039,0.00008010076,0.0001718857,0.00008072761],"domain_scores_gemma":[0.9988253,0.0003510999,0.0001347454,0.00016485,0.0003567058,0.0001672835],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001949882,0.000006625413,0.0001577854,0.0000384775,0.000007170861,0.0001103374,0.0001403553,0.002821002,0.001587765,0.9858146,0.001178132,0.008118265],"study_design_scores_gemma":[0.00001861716,0.00003813835,0.0007626703,0.000086321,0.00002529265,0.0005313403,0.0001180654,0.05886817,0.002110061,0.9205208,0.01687376,0.00004668229],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3523735,0.008032653,0.3784749,0.004872478,0.002277873,0.00009362011,0.0003434178,0.001381901,0.2521497],"genre_scores_gemma":[0.8931098,0.003592458,0.05488908,0.001128452,0.001240639,0.0001340333,0.0002023778,0.0004573755,0.04524577],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008417179,"threshold_uncertainty_score":0.02815831,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402831933","doi":"10.1080/00150517.2006.12428317","title":"Sums of the even integral powers of the cosecant and secant","year":2006,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Royal Military College of Canada; Royal Ottawa Mental Health Centre","funders":"","keywords":"Mathematics; Mathematical analysis; Applied mathematics; Pure mathematics","authors":[{"name":"N. Gauthier","is_ca":true},{"name":"Paul S. Bruckman","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01227502674693299,"gpt":0.2545933402319509,"spread":0.2423183134850179,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000624289,0.0009816997,0.0007732161,0.002461763,0.0009372941,0.00217479,0.0008170113,0.0004375004,0.006132669],"category_scores_gemma":[0.003310587,0.0002827718,0.0006236206,0.001399682,0.002141825,0.003094616,0.001070043,0.0009854654,0.0009296687],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006772872,"about_ca_system_score_gemma":0.0004508265,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002511198,"about_ca_topic_score_gemma":0.0005109716,"domain_scores_codex":[0.999455,0.00009169308,0.00004375281,0.00007523,0.0002186469,0.0001156826],"domain_scores_gemma":[0.9992406,0.0002998787,0.00012031,0.00008502811,0.0001296641,0.0001244806],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00008900138,0.00003100482,0.001125045,0.0001105724,0.00001797662,0.0008251344,0.0004360078,0.003894733,0.006073571,0.9611697,0.001223938,0.02500326],"study_design_scores_gemma":[0.00001534966,0.00007099974,0.00162676,0.0000848405,0.00005539975,0.002421847,0.0004163104,0.05851535,0.01144041,0.9112689,0.01402227,0.00006145963],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6516722,0.002098805,0.1993089,0.0003911351,0.0005117095,0.00005148925,0.0001476362,0.0002480873,0.14557],"genre_scores_gemma":[0.956648,0.0009631837,0.01895803,0.00008354588,0.0002607844,0.00004924786,0.0001618929,0.0001765101,0.02269876],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006132669,"threshold_uncertainty_score":0.0205158,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402633291","doi":"10.1080/00150517.2000.12428814","title":"Generalized Fibonacci and Lucas Polynomials and Multiplicative Arithmetic Functions","year":2000,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":9,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"York University","funders":"","keywords":"Fibonacci number; Lucas number; Fibonacci polynomials; Mathematics; Lucas sequence; Multiplicative function; Arithmetic; Pisano period; Arithmetic function; Combinatorics; Algebra over a field; Discrete mathematics; Pure mathematics; Classical orthogonal polynomials; Orthogonal polynomials; Mathematical analysis","authors":[{"name":"Trueman MacHenry","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.007581392208927056,"gpt":0.248504293235696,"spread":0.2409229010267689,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001118684,0.0008926633,0.0009575361,0.00311539,0.002575754,0.004629329,0.0008127379,0.002109663,0.006692005],"category_scores_gemma":[0.004309672,0.0004563666,0.0007248821,0.002973118,0.006448573,0.005774004,0.001158529,0.003082457,0.0008581071],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002664311,"about_ca_system_score_gemma":0.001037303,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002068998,"about_ca_topic_score_gemma":0.002348274,"domain_scores_codex":[0.9994534,0.000190182,0.00002933098,0.00009317091,0.000159656,0.00007436065],"domain_scores_gemma":[0.9989016,0.0005917827,0.000116152,0.0001159,0.0002142486,0.00006031858],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000003042805,0.000001453344,0.00001980762,0.000007129045,8.491197e-7,0.00001172632,0.00005963005,0.0001222277,0.00004805641,0.9978636,0.0005736139,0.001288768],"study_design_scores_gemma":[0.000003194294,0.000002376019,0.00005151943,0.000005242518,0.00000168202,0.00002940274,0.00002872319,0.0003740625,0.0000280059,0.9938676,0.00560401,0.000004254526],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.200501,0.07017324,0.1752476,0.01968275,0.004690474,0.00008147702,0.0004485431,0.0003188541,0.5288561],"genre_scores_gemma":[0.8913679,0.01408076,0.03343917,0.002136479,0.005531305,0.0001734165,0.000239011,0.00006769821,0.05296436],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006692005,"threshold_uncertainty_score":0.02238697,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4403207489","doi":"10.1080/00150517.2011.12428045","title":"Fibonacci Meets Hofstadter","year":2011,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Fibonacci number; Geology; Mathematics; Combinatorics","authors":[{"name":"Frank Ruskey","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01770583836339085,"gpt":0.2436534559109974,"spread":0.2259476175476065,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001070812,0.0007401095,0.0006487741,0.001765136,0.001897709,0.002465174,0.0003198958,0.001351751,0.007057113],"category_scores_gemma":[0.00330476,0.0004021284,0.0005979819,0.001286762,0.003570093,0.003490866,0.001234163,0.002471319,0.002413637],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001742121,"about_ca_system_score_gemma":0.001058483,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002763535,"about_ca_topic_score_gemma":0.002271967,"domain_scores_codex":[0.9991364,0.000195817,0.00006488087,0.0001938866,0.0002791656,0.0001298148],"domain_scores_gemma":[0.9992815,0.0003285441,0.00005551875,0.0001092994,0.0001792342,0.00004595148],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000005636125,0.000002456096,0.00005186924,0.00001436384,0.000001612589,0.00005068571,0.00008655297,0.0002858377,0.0004233864,0.9930733,0.001102553,0.004901767],"study_design_scores_gemma":[0.000007392414,0.00001355997,0.000122571,0.00001568509,0.000002361674,0.0001678736,0.00003704055,0.001487707,0.0008324454,0.9773771,0.01992364,0.00001265684],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1086213,0.01293802,0.2275214,0.005362168,0.003224859,0.0001321271,0.0006284527,0.0004623625,0.6411093],"genre_scores_gemma":[0.8261737,0.005906052,0.08512537,0.001685647,0.001782971,0.0002556087,0.0003639847,0.0001668928,0.07853963],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007057113,"threshold_uncertainty_score":0.02360833,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2188978818","doi":"10.1080/00150517.2004.12428402","title":"On Tribonacci Sequences","year":2004,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"semigroups and automata theory","field":"Computer Science","cited_by":8,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Morphism; Generalization; Mathematics; Simple (philosophy); Point (geometry); Word (group theory); Combinatorics; Discrete mathematics; Geometry; Mathematical analysis","authors":[{"name":"Elena Barcucci","is_ca":false},{"name":"Luc B","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.009219202777209468,"gpt":0.2269207298939828,"spread":0.2177015271167733,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008389305,0.0006801316,0.0006105254,0.002042249,0.002833128,0.001955495,0.0006716417,0.001160599,0.005585882],"category_scores_gemma":[0.002560647,0.0004154172,0.0005944606,0.002011782,0.003207349,0.003075757,0.001546092,0.001728579,0.001745889],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001162798,"about_ca_system_score_gemma":0.0005247466,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001285578,"about_ca_topic_score_gemma":0.00115646,"domain_scores_codex":[0.9991731,0.0001971907,0.00005392524,0.0001636256,0.0002605724,0.0001514583],"domain_scores_gemma":[0.999222,0.0003314544,0.00006339718,0.0001015746,0.0001629781,0.0001185689],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001344642,0.00000583065,0.00007388533,0.00002857912,0.000001348115,0.0001138654,0.000421059,0.0004804526,0.001257752,0.9888036,0.0006076601,0.008192607],"study_design_scores_gemma":[0.000008137469,0.000031921,0.0001692561,0.00003431771,0.000003427464,0.0002964168,0.0001028595,0.002600947,0.000952494,0.9688885,0.02689389,0.00001790234],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.271458,0.01110579,0.3317769,0.002323175,0.002871527,0.0002122468,0.0002922034,0.0005141696,0.379446],"genre_scores_gemma":[0.859759,0.004473479,0.07249817,0.001228191,0.00121595,0.0003238177,0.000336674,0.0002313869,0.05993335],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005585882,"threshold_uncertainty_score":0.01868665,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402623086","doi":"10.1080/00150517.2002.12428671","title":"Walking into an Absolute Sum","year":2002,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Educational Leadership and Practices","field":"Social Sciences","cited_by":6,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"York University","funders":"","keywords":"Absolute (philosophy); Mathematics; Philosophy; Theology","authors":[{"name":"Hans J. H. Tuenter","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06124883773031843,"gpt":0.3404576559387308,"spread":0.2792088182084124,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001437513,0.001039944,0.001065643,0.003067125,0.0050526,0.006234983,0.001167339,0.001736849,0.03712352],"category_scores_gemma":[0.008144592,0.0004743024,0.0007357635,0.002491063,0.007176545,0.01186304,0.004332002,0.004967748,0.01154204],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001701417,"about_ca_system_score_gemma":0.001197834,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001835261,"about_ca_topic_score_gemma":0.002161564,"domain_scores_codex":[0.9984421,0.0003882392,0.00009413555,0.0003540929,0.0005883663,0.0001330758],"domain_scores_gemma":[0.9987105,0.0003068137,0.00008296205,0.0002990423,0.0004681028,0.0001324713],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001169855,0.000003921453,0.00003921761,0.00002378065,0.000004862455,0.00002134619,0.0001648771,0.00008448777,0.0000749664,0.9666511,0.01604292,0.0168769],"study_design_scores_gemma":[0.00000453543,0.00001027013,0.00005721319,0.00003101084,0.000005055313,0.00008141364,0.0001259691,0.0002635496,0.00008446341,0.924544,0.07478258,0.00001000688],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.01382571,0.01124195,0.1679661,0.02604725,0.01862468,0.00006418097,0.0004253222,0.0006521752,0.7611527],"genre_scores_gemma":[0.3945958,0.006979812,0.1102114,0.01176688,0.007496845,0.0002859618,0.000629761,0.001405564,0.466628],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.03712352,"threshold_uncertainty_score":0.1241906,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402764359","doi":"10.1080/00150517.2019.12427660","title":"How to Sum the Squares of the Tetranacci Numbers and the Fibonacci <i>m</i> -Step Numbers","year":2019,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Fibonacci number; Mathematics; Combinatorics; Pisano period; Lucas number; Arithmetic; Statistics; Fibonacci polynomials","authors":[{"name":"Raphael Schumacher","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.003694382871143843,"gpt":0.2146508260403734,"spread":0.2109564431692296,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009139826,0.0005988514,0.0004578031,0.001229536,0.001141777,0.002347824,0.0008356451,0.000884308,0.008446757],"category_scores_gemma":[0.005152379,0.0003087063,0.0005879788,0.0009638176,0.001861074,0.006279648,0.001194702,0.001629064,0.002760954],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000543607,"about_ca_system_score_gemma":0.0006617327,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008920876,"about_ca_topic_score_gemma":0.001359993,"domain_scores_codex":[0.9993584,0.0001077007,0.00005921826,0.0001167495,0.0002936414,0.00006436669],"domain_scores_gemma":[0.99938,0.000235106,0.00004973368,0.00007468338,0.0002200483,0.00004047776],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001591994,0.000008763081,0.0002025204,0.0001003035,0.000009404856,0.0001260052,0.0002394487,0.001100399,0.001768153,0.9481772,0.00600348,0.04224823],"study_design_scores_gemma":[0.000006315947,0.0000179605,0.0001971485,0.00004662582,0.00001102476,0.0003648959,0.0001149747,0.005721811,0.002654564,0.9620248,0.02881095,0.00002886346],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04476333,0.006193282,0.7706375,0.004035231,0.004166361,0.00007083476,0.0002462063,0.0004958287,0.1693915],"genre_scores_gemma":[0.4582199,0.005502038,0.4642585,0.00308112,0.001956219,0.0001949084,0.0003286728,0.0008564166,0.06560237],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008446757,"threshold_uncertainty_score":0.02825719,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3152751825","doi":"10.1080/00150517.2002.12428652","title":"On the Infinitude of Composite NSW Numbers","year":2002,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"","keywords":"Philosophy; Medicine","authors":[{"name":"James A. Sellers","is_ca":false},{"name":"Hugh C. Williams","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04702944192792293,"gpt":0.2870744682507771,"spread":0.2400450263228542,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001485407,0.0003326959,0.0003918619,0.001521504,0.002367035,0.00191621,0.0005985817,0.0007127665,0.003408376],"category_scores_gemma":[0.005467786,0.0003895106,0.0003765679,0.0008166124,0.004277869,0.004840983,0.001706245,0.002088016,0.0003526339],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001401792,"about_ca_system_score_gemma":0.0005181467,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008072343,"about_ca_topic_score_gemma":0.000784845,"domain_scores_codex":[0.9995323,0.00008770477,0.00002664467,0.0001114239,0.0001599424,0.00008194693],"domain_scores_gemma":[0.9977199,0.001436573,0.000183088,0.0001995203,0.0002418131,0.0002191383],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002970086,0.000007800908,0.0006691517,0.00002118594,0.000001525075,0.0001191113,0.0002416035,0.0003747871,0.0004939451,0.9935305,0.0005311879,0.003979537],"study_design_scores_gemma":[0.00001075112,0.00002727059,0.0008139678,0.00002069551,0.000005964809,0.0003507039,0.00009742996,0.00551036,0.0007560138,0.9856718,0.006721889,0.00001310523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6627253,0.002423812,0.1293953,0.003386328,0.000507597,0.00005608562,0.0001902605,0.0002783634,0.201037],"genre_scores_gemma":[0.958515,0.0008211895,0.02130838,0.0004538665,0.0003327624,0.00008637141,0.00009703296,0.00004950871,0.01833588],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003408376,"threshold_uncertainty_score":0.01140213,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402633490","doi":"10.1080/00150517.2001.12428725","title":"Remarks on the “Greedy Odd” Egyptian Fraction Algorithm","year":2001,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Fraction (chemistry); Greedy algorithm; Algorithm; Computer science; Combinatorics; Mathematics; Chemistry","authors":[{"name":"Jukka Pihko","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04074975532703889,"gpt":0.3240655152705004,"spread":0.2833157599434615,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002024129,0.000573225,0.000741177,0.000909289,0.001882949,0.003016905,0.00117101,0.001762853,0.01289643],"category_scores_gemma":[0.007626899,0.0002435559,0.0005892506,0.001276039,0.003400285,0.005478212,0.002863768,0.002241471,0.001927831],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001233953,"about_ca_system_score_gemma":0.0009505923,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001820121,"about_ca_topic_score_gemma":0.001322395,"domain_scores_codex":[0.9990807,0.0003348954,0.00003287926,0.0001647821,0.0002115493,0.0001752416],"domain_scores_gemma":[0.9978516,0.001278429,0.00008227318,0.0004586375,0.0002198813,0.0001091926],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00009540157,0.000008546674,0.0001961746,0.00002936184,0.00000752761,0.00002938038,0.00006815215,0.00179842,0.0002945584,0.9782346,0.007776813,0.0114611],"study_design_scores_gemma":[0.00003674708,0.00001237298,0.0001987453,0.00001920977,0.000008102141,0.00006245323,0.00006866921,0.005556195,0.0005518108,0.973486,0.0199867,0.00001292518],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.113923,0.004462593,0.4314385,0.04432552,0.003339376,0.0001171238,0.000710966,0.001068996,0.400614],"genre_scores_gemma":[0.7906792,0.002610279,0.1232244,0.01321004,0.001795278,0.0001735015,0.0004760925,0.0004809687,0.06735025],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01289643,"threshold_uncertainty_score":0.0431428,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2973231219","doi":"10.1080/00150517.2008.12428182","title":"Ramsey Results Involving the Fibonacci Numbers","year":2008,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba; Simon Fraser University","funders":"","keywords":"Fibonacci number; Pisano period; Mathematics; Combinatorics; Fibonacci polynomials","authors":[{"name":"Hayri Ardal","is_ca":true},{"name":"David S. Gunderson","is_ca":true},{"name":"Veselin Jungić","is_ca":true},{"name":"Bruce Landman","is_ca":false},{"name":"Kevin Williamson","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02225092679870829,"gpt":0.2287426049568108,"spread":0.2064916781581025,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001612726,0.0002909767,0.0006295021,0.001705728,0.001489774,0.001594183,0.000426061,0.0005640026,0.002502772],"category_scores_gemma":[0.007516381,0.0003768158,0.0006092028,0.001315601,0.002183329,0.00453417,0.001209393,0.001115908,0.0002218316],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001093197,"about_ca_system_score_gemma":0.0003695976,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001439131,"about_ca_topic_score_gemma":0.0009827357,"domain_scores_codex":[0.9993229,0.0001983078,0.00004013045,0.000161631,0.0002018375,0.00007522601],"domain_scores_gemma":[0.9950736,0.003261477,0.0004612279,0.0006017101,0.0003782362,0.0002236954],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00009094609,0.00002736964,0.001934616,0.00009772457,0.00002562616,0.0001889102,0.0005904992,0.00559422,0.0016588,0.9759513,0.001665622,0.0121743],"study_design_scores_gemma":[0.00002105383,0.00006680372,0.002213885,0.00003414768,0.00002863542,0.0004507152,0.0002409185,0.01824688,0.001039423,0.9690011,0.00863188,0.00002459734],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7651826,0.008852297,0.1418081,0.00294172,0.0002403563,0.00005694657,0.0005024364,0.00022489,0.08019069],"genre_scores_gemma":[0.9659963,0.002022152,0.02387606,0.0003553411,0.0003785232,0.00006245785,0.0002547154,0.00004358655,0.007010909],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002502772,"threshold_uncertainty_score":0.008529007,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402633211","doi":"10.1080/00150517.2003.12428555","title":"On the Number of Niven Numbers up to <i>x</i>","year":2003,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics","authors":[{"name":"Jean–Marie De Koninck","is_ca":true},{"name":"Nicolas Doyon","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03777930500956037,"gpt":0.3327887643440682,"spread":0.2950094593345078,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006617972,0.001324299,0.001991816,0.007576366,0.008532717,0.009801867,0.003252901,0.003476175,0.01152613],"category_scores_gemma":[0.03160138,0.001397859,0.001566679,0.003373825,0.0131269,0.0190223,0.005158165,0.007130257,0.001692266],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003640708,"about_ca_system_score_gemma":0.001631349,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009941061,"about_ca_topic_score_gemma":0.0008100554,"domain_scores_codex":[0.9972335,0.0008314642,0.0001766065,0.000584778,0.000579874,0.0005938184],"domain_scores_gemma":[0.9812918,0.01393026,0.0009883987,0.001008634,0.001328293,0.001452682],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004324736,0.00001107126,0.0002362828,0.00003812535,0.00000592623,0.0000419185,0.0001898459,0.0003216049,0.0002219217,0.9948274,0.0008834702,0.003179154],"study_design_scores_gemma":[0.00001053402,0.0000140868,0.0002351289,0.00004894592,0.000011755,0.0001352785,0.00008706619,0.00180372,0.0003086535,0.9943842,0.00294093,0.00001978817],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3736942,0.0126786,0.1788755,0.01460291,0.003257033,0.0001462857,0.0004246706,0.0009141012,0.4154067],"genre_scores_gemma":[0.922365,0.003537869,0.03275669,0.001652796,0.001664886,0.0003459058,0.0003563123,0.0003197528,0.03700082],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01152613,"threshold_uncertainty_score":0.03855878,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402831515","doi":"10.1080/00150517.2015.12428269","title":"<i>p</i> -Regularity of the <i>p</i> -Adic Valuation of the Fibonacci Sequence","year":2015,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"advanced mathematical theories","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Fibonacci number; Valuation (finance); Sequence (biology); Mathematics; Combinatorics; Economics; Accounting; Biology; Genetics","authors":[{"name":"Luis A. Medina","is_ca":false},{"name":"Eric Rowland","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1081318960684112,"gpt":0.3278378555775154,"spread":0.2197059595091042,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004677142,0.0003978327,0.0003186074,0.001066337,0.0007476424,0.002110682,0.0003505723,0.0002892361,0.004327679],"category_scores_gemma":[0.001597332,0.0002031349,0.00038435,0.0005629795,0.00188597,0.001218949,0.0006557654,0.001055501,0.0006480959],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000529293,"about_ca_system_score_gemma":0.0003528141,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003648185,"about_ca_topic_score_gemma":0.0002123145,"domain_scores_codex":[0.9997433,0.00003867254,0.00001708798,0.00005750527,0.00006094091,0.00008262528],"domain_scores_gemma":[0.9992811,0.0002420079,0.0001607029,0.00009479715,0.0001144444,0.0001069352],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001673574,0.00003227482,0.00297435,0.00009437767,0.00001256145,0.0007719254,0.0006187974,0.004017852,0.01458318,0.9566154,0.001781384,0.01833051],"study_design_scores_gemma":[0.0000421177,0.0002027069,0.005748808,0.00006308112,0.00002647044,0.00197907,0.000462363,0.01854037,0.0250875,0.9305928,0.0171866,0.00006814076],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8600653,0.0005442484,0.05416971,0.0006161889,0.000172828,0.00003300721,0.0002668127,0.0001518807,0.08397994],"genre_scores_gemma":[0.988623,0.0002098296,0.006831252,0.00005554362,0.0000926715,0.0000210608,0.0001384442,0.00002977243,0.003998577],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004327679,"threshold_uncertainty_score":0.01447755,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4403206168","doi":"10.1080/00150517.2007.12428231","title":"A number field with infinitely many normal integral bases","year":2007,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Carleton University; Okanagan College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Mathematics; Field (mathematics); Pure mathematics","authors":[{"name":"Daniël Eloff","is_ca":true},{"name":"Blair K. Spearman","is_ca":true},{"name":"Kenneth S. Williams","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03061353066573485,"gpt":0.3256667020108714,"spread":0.2950531713451365,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004930391,0.0003806442,0.0003974563,0.001938122,0.00164314,0.002440218,0.0003827906,0.0005480604,0.003745609],"category_scores_gemma":[0.001481897,0.0002079128,0.0003409466,0.001197685,0.003043212,0.002041073,0.001086054,0.0008510136,0.0006187302],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009890707,"about_ca_system_score_gemma":0.0005617718,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005276836,"about_ca_topic_score_gemma":0.0004517061,"domain_scores_codex":[0.999667,0.0000899427,0.00001693463,0.00004483818,0.0001101172,0.00007108555],"domain_scores_gemma":[0.9993612,0.0001926067,0.0001027136,0.00008654525,0.0001201092,0.0001368582],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002530937,0.000009624117,0.000260985,0.00002501763,0.000002688767,0.0001612369,0.000159582,0.0005852698,0.001953391,0.9916623,0.0005131577,0.004641539],"study_design_scores_gemma":[0.00001517692,0.00004815296,0.0005582531,0.0000314117,0.00001009514,0.0006060612,0.0001932346,0.005912461,0.001468379,0.9822456,0.008885382,0.00002587429],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7978805,0.001242659,0.05432349,0.001293956,0.0003916333,0.00004535372,0.0001734126,0.0002446093,0.1444045],"genre_scores_gemma":[0.9853889,0.0003972651,0.008028221,0.0000822038,0.0001700973,0.00001911765,0.00007704567,0.00001878197,0.005818415],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003745609,"threshold_uncertainty_score":0.01253033,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402388645","doi":"10.1080/00150517.2021.12427512","title":"Some Primality Tests Constructed from a Cubic Extension of the Lucas Functions","year":2021,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Cryptography and Residue Arithmetic","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary; Mount Royal University","funders":"","keywords":"Primality test; Extension (predicate logic); Mathematics; Arithmetic; Computer science; Combinatorics; Prime (order theory); Programming language","authors":[{"name":"Eric L. F. Roettger","is_ca":true},{"name":"H. C. Williams","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01020266421340198,"gpt":0.2206164963275649,"spread":0.2104138321141629,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001579875,0.0005715635,0.0007462014,0.001795771,0.001468289,0.00144425,0.0006889431,0.0007784723,0.004805374],"category_scores_gemma":[0.01144157,0.0004492306,0.0007837502,0.001308316,0.002446085,0.002190863,0.001131047,0.002315875,0.0008535498],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001106587,"about_ca_system_score_gemma":0.001283247,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007848963,"about_ca_topic_score_gemma":0.0007776876,"domain_scores_codex":[0.9991217,0.0002344062,0.00006891753,0.0001589706,0.0002380011,0.0001779412],"domain_scores_gemma":[0.9946877,0.003523013,0.0003712913,0.000539741,0.0005984759,0.0002798178],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001464584,0.0001794152,0.005650733,0.000387513,0.00002700313,0.001092511,0.0006603869,0.02230786,0.02943843,0.7572955,0.008566923,0.1729291],"study_design_scores_gemma":[0.0002467788,0.0008342933,0.003182018,0.0001389167,0.00006471935,0.001443674,0.0003319113,0.116264,0.05951734,0.7955184,0.02228561,0.0001723294],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5353925,0.0007216874,0.4068103,0.001489224,0.0003282605,0.0002966619,0.0008454344,0.001588142,0.05252787],"genre_scores_gemma":[0.8015467,0.0002650979,0.1904629,0.0002323731,0.0001915029,0.0001485621,0.001182949,0.0002317019,0.005738195],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004805374,"threshold_uncertainty_score":0.01607561,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2729533936","doi":"10.1080/00150517.2010.12428122","title":"Recurrence Relations for Nörlund Numbers and Bernoulli Numbers of the Second Kind","year":2010,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Hermeneutics and Narrative Identity","field":"Arts and Humanities","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"","keywords":"Mathematics; Bernoulli's principle; Bernoulli number; Combinatorics; Physics","authors":[{"name":"Takashi Agoh","is_ca":false},{"name":"Karl Dilcher","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01486234135799464,"gpt":0.2350099087540812,"spread":0.2201475673960865,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001766973,0.0006019254,0.0005649175,0.003411892,0.001579188,0.003078062,0.0009045398,0.0009549928,0.006756776],"category_scores_gemma":[0.00990062,0.0003232827,0.00101047,0.002586374,0.002738829,0.005097917,0.001258113,0.002405334,0.001431928],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002365847,"about_ca_system_score_gemma":0.0009869477,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001857089,"about_ca_topic_score_gemma":0.00258447,"domain_scores_codex":[0.9987586,0.0002580455,0.0001219116,0.0002177322,0.0004788475,0.000164917],"domain_scores_gemma":[0.997393,0.001353844,0.0003838814,0.0002246928,0.0005200623,0.0001243908],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004762874,0.000003041934,0.00008242307,0.00002033783,0.000002177321,0.00005516425,0.0001673954,0.0003501469,0.0002942987,0.9936377,0.00055141,0.00483109],"study_design_scores_gemma":[0.000003520096,0.000007290435,0.0001591026,0.00002586869,0.000005273224,0.0001731709,0.00006290076,0.003069492,0.0004071169,0.9906501,0.005420229,0.00001599519],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1444375,0.02304097,0.476039,0.0030767,0.001746363,0.0001469049,0.0005803725,0.0004015864,0.3505305],"genre_scores_gemma":[0.8326155,0.008926068,0.09831169,0.0006926871,0.00127241,0.0002855769,0.000424281,0.0002106813,0.05726104],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006756776,"threshold_uncertainty_score":0.02260369,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4403206334","doi":"10.1080/00150517.2010.12428134","title":"Thomas Koshy’s Catalan Numbers with Applications (Book Review)","year":2010,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Catalan; Catalan number; Mathematics; Combinatorics; Art; Humanities","authors":[{"name":"Napoleon Gauthier","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01375767906200856,"gpt":0.292260692068302,"spread":0.2785030130062934,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000656814,0.0006490366,0.0007663446,0.003048309,0.001229367,0.003432218,0.0007992896,0.001665547,0.01652049],"category_scores_gemma":[0.002430805,0.0004128019,0.0003890191,0.004343444,0.002462338,0.004398813,0.001561189,0.003127856,0.01117669],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002492449,"about_ca_system_score_gemma":0.001782432,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003199619,"about_ca_topic_score_gemma":0.004774912,"domain_scores_codex":[0.9995458,0.00009570413,0.00002274146,0.00006730371,0.0002238362,0.00004453925],"domain_scores_gemma":[0.9994204,0.0002808632,0.00002352906,0.00004229648,0.0001913685,0.00004164221],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00001256597,0.00001484859,0.0000615154,0.0003965554,0.000007211765,0.00003633353,0.000162505,0.0003033793,0.0001564233,0.2957581,0.5407056,0.1623849],"study_design_scores_gemma":[0.000002548283,0.000005482785,0.0001102007,0.0001855599,0.000002559711,0.0001152658,0.0000317844,0.00008400573,0.00005658006,0.06325562,0.9361433,0.000007047935],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","genre_codex":"review","genre_gemma":"review","genre_scores_codex":[0.0008667182,0.717945,0.007991058,0.01763074,0.02315595,0.0000235345,0.0002004739,0.0001463024,0.2320402],"genre_scores_gemma":[0.02642027,0.5388423,0.008695772,0.01198258,0.0268536,0.0001202523,0.0003905471,0.0002939538,0.3864007],"genre_candidate":"review","genre_consensus":"review","teacher_disagreement_score":0.01652049,"threshold_uncertainty_score":0.05526656,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402831571","doi":"10.1080/00150517.2004.12428401","title":"Convolving the <i>m</i> -th Powers of the Consecutive Integers with the General Fibonacci Sequence Using Carlitz's Weighted Stirling Polynomials of the Second Kind","year":2004,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Royal Military College of Canada; Royal Ottawa Mental Health Centre","funders":"","keywords":"Fibonacci number; Mathematics; Stirling numbers of the second kind; Stirling number; Combinatorics; Fibonacci polynomials; Sequence (biology); Pisano period; Stirling numbers of the first kind; Discrete mathematics; Orthogonal polynomials; Difference polynomials; Chemistry","authors":[{"name":"N. Gauthier","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01160959231554786,"gpt":0.2551330126904687,"spread":0.2435234203749209,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008721747,0.0009158323,0.0004408752,0.0014443,0.0006475319,0.001721808,0.0008179554,0.000806972,0.007393622],"category_scores_gemma":[0.004084008,0.0003499967,0.0007338231,0.00154765,0.00113643,0.001751976,0.0007492512,0.0009379291,0.002217911],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006911235,"about_ca_system_score_gemma":0.0007005869,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001275675,"about_ca_topic_score_gemma":0.002608382,"domain_scores_codex":[0.9996214,0.00005931762,0.00002493877,0.0000759289,0.0001643692,0.00005415506],"domain_scores_gemma":[0.9993685,0.0001861348,0.00007581629,0.000155918,0.0001529304,0.00006073297],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0004998035,0.00007384351,0.002240342,0.0002535612,0.00007533062,0.001325209,0.0006761354,0.03850087,0.09186435,0.6430645,0.003994614,0.2174314],"study_design_scores_gemma":[0.00005052932,0.0002966418,0.002816382,0.0001328583,0.00007809143,0.003047328,0.0004792845,0.3967606,0.1169077,0.4337628,0.04548278,0.0001851158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0826558,0.00039585,0.8956136,0.0002473467,0.0006495987,0.00004949284,0.00007728361,0.0004134097,0.01989759],"genre_scores_gemma":[0.4884439,0.001109163,0.4755343,0.0004316583,0.000366065,0.0001016217,0.0003366837,0.0004633659,0.0332133],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007393622,"threshold_uncertainty_score":0.02473414,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2337399540","doi":"10.1080/00150517.2012.12428015","title":"Series Representations of Theta Functions in Terms of a Sequence of Polynomials","year":2012,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Hermeneutics and Narrative Identity","field":"Arts and Humanities","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"","keywords":"Sequence (biology); Mathematics; Series (stratigraphy); Algebra over a field; Pure mathematics; Combinatorics","authors":[{"name":"Jason I. Brown","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04333528844389094,"gpt":0.2766101187967927,"spread":0.2332748303529018,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001020145,0.0008107345,0.0005540393,0.002126073,0.0007255338,0.001630623,0.0008188554,0.000491344,0.00701624],"category_scores_gemma":[0.003333211,0.0002387861,0.0006954498,0.00128222,0.001521197,0.001870031,0.0008541584,0.001321203,0.001870415],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009778752,"about_ca_system_score_gemma":0.0005382883,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008464729,"about_ca_topic_score_gemma":0.001336731,"domain_scores_codex":[0.9996258,0.00008517997,0.00001827462,0.00004037077,0.0001718046,0.00005858857],"domain_scores_gemma":[0.9993297,0.0002650184,0.00008816512,0.00007178458,0.0001753885,0.00006998508],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001195469,0.00001469678,0.0001486722,0.00003776971,0.000005273315,0.0001237527,0.0002752782,0.003636236,0.001769673,0.9831452,0.0007713655,0.01006014],"study_design_scores_gemma":[0.00001314762,0.00004121977,0.0003026552,0.00005996184,0.00001408977,0.0003065297,0.0001744512,0.06795372,0.00260695,0.9199505,0.008549159,0.00002764229],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1714907,0.001600444,0.6968479,0.000742793,0.0006283169,0.00009086866,0.000205241,0.000384301,0.1280094],"genre_scores_gemma":[0.8550092,0.002369422,0.100574,0.000352061,0.0006478415,0.0001798055,0.0002047128,0.0002972805,0.04036568],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00701624,"threshold_uncertainty_score":0.02347165,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402623080","doi":"10.1080/00150517.2000.12428827","title":"Rising Diagonal Polynomials Associated with Morgan-Voyce Polynomials","year":2000,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"","keywords":"Diagonal; Mathematics; Difference polynomials; Wilson polynomials; Classical orthogonal polynomials; Orthogonal polynomials; Discrete orthogonal polynomials; Combinatorics; Pure mathematics; Geometry","authors":[{"name":"M.N.S. Swamy","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02499330255187105,"gpt":0.281037658147536,"spread":0.2560443555956649,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006024251,0.0002890079,0.0002872035,0.001815377,0.00107643,0.002069801,0.0004729892,0.0004163893,0.005193338],"category_scores_gemma":[0.002435703,0.000206756,0.0003137385,0.001456174,0.001969836,0.001672602,0.001232522,0.001340017,0.0008253539],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0014077,"about_ca_system_score_gemma":0.0008613848,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002676957,"about_ca_topic_score_gemma":0.002331935,"domain_scores_codex":[0.9992527,0.00008990173,0.00002731898,0.0001077756,0.0002475682,0.0002747909],"domain_scores_gemma":[0.9992393,0.0001952689,0.000122362,0.0000614969,0.0002549893,0.0001265001],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000129149,0.000003749354,0.0001320855,0.00001229546,0.000001050131,0.00004342387,0.0001202507,0.0003882451,0.001160355,0.9909527,0.000467085,0.006705763],"study_design_scores_gemma":[0.00001740414,0.00004085968,0.0007940271,0.00002371315,0.000006703933,0.0003519607,0.0002686753,0.01174922,0.004732038,0.9629452,0.01903385,0.0000364199],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.45079,0.001431654,0.3830069,0.0009990194,0.0005451852,0.00008230241,0.0003811934,0.0004638759,0.1622998],"genre_scores_gemma":[0.9520158,0.0005040299,0.02605104,0.0001570665,0.0002159916,0.00003222048,0.0001289724,0.00005150163,0.02084342],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005193338,"threshold_uncertainty_score":0.01737338,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402831215","doi":"10.1080/00150517.2017.12427781","title":"Normal Integral Bases of a Cyclic Quintic Field","year":2017,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Field (mathematics); Mathematics; Quintic function; Quantum electrodynamics; Pure mathematics; Physics; Quantum mechanics; Nonlinear system","authors":[{"name":"Chad Tyler Davis","is_ca":true},{"name":"Daniël Eloff","is_ca":true},{"name":"Blair K. Spearman","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02523794805355856,"gpt":0.298707532296666,"spread":0.2734695842431075,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005190246,0.0004240737,0.0004453995,0.001804025,0.001178361,0.001452677,0.0005456422,0.0003193646,0.003009239],"category_scores_gemma":[0.0009675169,0.0002237796,0.0003559259,0.0007707601,0.002233273,0.001578742,0.001112596,0.0007690053,0.000559356],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001210007,"about_ca_system_score_gemma":0.0005599564,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001601387,"about_ca_topic_score_gemma":0.001225426,"domain_scores_codex":[0.9997084,0.00004284333,0.00001501364,0.00004200946,0.0001094182,0.00008235775],"domain_scores_gemma":[0.9996314,0.00006579649,0.00005799552,0.00003417268,0.0001067917,0.0001037831],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004604035,0.00002973087,0.0004788962,0.00003620544,0.000005903948,0.0001914601,0.0004029316,0.001744843,0.00265098,0.9827096,0.0007570106,0.01094638],"study_design_scores_gemma":[0.00002778776,0.00005198447,0.0006959325,0.00002712482,0.000008997314,0.0002850165,0.0002506557,0.006980304,0.001521108,0.9822057,0.007919521,0.00002588926],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8786945,0.001032548,0.04223473,0.0006220898,0.0001713376,0.00004345635,0.0002158355,0.000141097,0.07684433],"genre_scores_gemma":[0.9831087,0.0004666315,0.008472946,0.00007018834,0.0001494723,0.00001983018,0.0001741122,0.00002570856,0.007512533],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003009239,"threshold_uncertainty_score":0.01006687,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402832042","doi":"10.1080/00150517.2014.12427920","title":"Spanning Paths in Fibonacci-Sum Graphs","year":2014,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Fibonacci number; Combinatorics; Mathematics; Discrete mathematics","authors":[{"name":"Kyle Fox","is_ca":false},{"name":"William B. Kinnersley","is_ca":true},{"name":"Daniel C. McDonald","is_ca":false},{"name":"Nathan Orlow","is_ca":false},{"name":"Gregory J. Puleo","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.009225763928214397,"gpt":0.2159158656824197,"spread":0.2066901017542053,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005075829,0.0003039064,0.0004423601,0.001337702,0.001959987,0.001519534,0.0005557768,0.001000863,0.00350592],"category_scores_gemma":[0.002875085,0.0004703574,0.0003659474,0.001672533,0.001176618,0.002752937,0.001092302,0.0008554726,0.0004213786],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001149412,"about_ca_system_score_gemma":0.0005600327,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001431341,"about_ca_topic_score_gemma":0.002108539,"domain_scores_codex":[0.9995922,0.0001153565,0.0000270814,0.0001011651,0.00008325525,0.00008094859],"domain_scores_gemma":[0.9986339,0.0009146878,0.0001516209,0.00009209114,0.0001024111,0.0001052747],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006106218,0.00003671451,0.001031819,0.00008518978,0.00001017457,0.0001429016,0.0004272459,0.009848054,0.003060457,0.9619229,0.003336143,0.0200374],"study_design_scores_gemma":[0.00001338355,0.00001251075,0.0003895144,0.00001852868,0.000007455883,0.0001146098,0.0001544536,0.02091438,0.0008727406,0.973672,0.00382302,0.000007428432],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.771925,0.00143354,0.182621,0.001874601,0.0001127525,0.00007789791,0.0006301514,0.0002965698,0.04102863],"genre_scores_gemma":[0.8827547,0.00119082,0.1045378,0.0004332952,0.00009473185,0.0001183609,0.0008647782,0.00008122937,0.009924348],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00350592,"threshold_uncertainty_score":0.01172847,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402399603","doi":"10.1080/00150517.2023.12427399","title":"Some Tribonacci Conjectures","year":2023,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Computer science","authors":[{"name":"Jeffrey Shallit","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01100513058548869,"gpt":0.2724355089777345,"spread":0.2614303783922458,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003603884,0.000608131,0.0008953738,0.001724644,0.005672798,0.004256169,0.001752795,0.004123254,0.01281712],"category_scores_gemma":[0.01656909,0.0006888118,0.001384585,0.00171259,0.01027497,0.0121402,0.003885172,0.005814657,0.002216949],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002244189,"about_ca_system_score_gemma":0.001135626,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002365644,"about_ca_topic_score_gemma":0.001479261,"domain_scores_codex":[0.9976435,0.0005321675,0.0001366022,0.000541955,0.0008620546,0.0002836227],"domain_scores_gemma":[0.9935463,0.004281743,0.0003193252,0.0007932788,0.0007974848,0.0002619004],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000005147147,0.000003731607,0.00006129705,0.0000179865,0.000001673046,0.00005462052,0.0001389214,0.0001825436,0.00008349391,0.9954565,0.002255836,0.001738433],"study_design_scores_gemma":[0.000004601871,0.000004143104,0.00004505396,0.00001316235,0.000001818745,0.00004945011,0.00004621462,0.0007802158,0.0001103081,0.9931436,0.005795524,0.000005884637],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1046054,0.02005727,0.2728551,0.07364991,0.008985555,0.000128412,0.0004085575,0.0005671538,0.5187426],"genre_scores_gemma":[0.8846769,0.007458319,0.04313437,0.009904523,0.005494392,0.0002431406,0.0005021101,0.0002135715,0.0483728],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01281712,"threshold_uncertainty_score":0.0428775,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402632858","doi":"10.1080/00150517.2000.12428811","title":"Random Combinations with Bounded Differences and Cospan","year":2000,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":1,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Bounded function; Mathematics; Statistics; Computer science; Mathematical analysis","authors":[{"name":"N. Balakrishnan","is_ca":true},{"name":"Markos V. Koutras","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04186390386281771,"gpt":0.2982396164532253,"spread":0.2563757125904076,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.009632797,0.002237979,0.003327669,0.002772645,0.001537273,0.003461017,0.002753359,0.00313257,0.01133756],"category_scores_gemma":[0.03007,0.001392763,0.001936662,0.002840267,0.005872324,0.006137432,0.002783871,0.004092943,0.001093208],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002892831,"about_ca_system_score_gemma":0.001912857,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003179506,"about_ca_topic_score_gemma":0.002481409,"domain_scores_codex":[0.9951579,0.002897869,0.000188212,0.0005873926,0.0007978504,0.000370811],"domain_scores_gemma":[0.9758108,0.02095176,0.0008010843,0.0007342118,0.001141449,0.0005606637],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001952889,0.00001122995,0.00009202815,0.00003954614,0.00002244292,0.00005372267,0.00004028641,0.0247559,0.0000878225,0.9708661,0.0007690945,0.003242183],"study_design_scores_gemma":[0.00001991734,0.00002468032,0.0001124489,0.00002574093,0.00001471647,0.00005507017,0.00001940704,0.1508701,0.00007781278,0.8468833,0.001871696,0.00002508561],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02648673,0.004094535,0.9352454,0.00153821,0.0004201544,0.00007340432,0.0001518014,0.0001382857,0.03185148],"genre_scores_gemma":[0.7446904,0.006328445,0.1769181,0.001391312,0.001435468,0.0007785245,0.0004895743,0.0003337941,0.06763443],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01133756,"threshold_uncertainty_score":0.05094373,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402831563","doi":"10.1080/00150517.2005.12428367","title":"The Mathematics of Per Nørgård’s Rhythmic Infinity System","year":2005,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Infinity; Rhythm; Mathematics; Art; Mathematical analysis; Aesthetics","authors":[{"name":"Jeffrey Shallit","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01981426055460428,"gpt":0.270599344166164,"spread":0.2507850836115597,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008180373,0.0003757259,0.0004346978,0.001215744,0.001810294,0.002650923,0.0004337582,0.0009405069,0.004240465],"category_scores_gemma":[0.001525199,0.0002427558,0.0004190782,0.0006114673,0.003699142,0.003166945,0.001810816,0.00128351,0.001155419],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001742934,"about_ca_system_score_gemma":0.0005684746,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00138134,"about_ca_topic_score_gemma":0.0009056941,"domain_scores_codex":[0.999559,0.0001439982,0.00002680882,0.0001023781,0.0001191515,0.00004862456],"domain_scores_gemma":[0.999783,0.00008713012,0.00002301828,0.00003469454,0.00004195266,0.00003029669],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00000259992,9.975635e-7,0.00001313637,0.000005232924,5.215826e-7,0.00001248395,0.0001168673,0.0001219417,0.000115496,0.9983108,0.0003271493,0.0009728198],"study_design_scores_gemma":[0.000006601207,0.00001246706,0.00009944211,0.00001393778,0.000001969722,0.00007104443,0.00006849525,0.001943507,0.0002755945,0.9741957,0.02330068,0.00001052396],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.116035,0.009046692,0.1729779,0.004115024,0.0009910541,0.00006521763,0.0003142002,0.0002243412,0.6962306],"genre_scores_gemma":[0.8586099,0.002755926,0.04849035,0.0006430523,0.0005692824,0.0001100786,0.0001881023,0.00009415048,0.08853924],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004240465,"threshold_uncertainty_score":0.01418573,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402399267","doi":"10.1080/00150517.2022.12427471","title":"Zigzag Sequences and Representations of Integers","year":2022,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Royal Military College of Canada; University of New Brunswick","funders":"","keywords":"Zigzag; Mathematics; Combinatorics; Geometry","authors":[{"name":"H. E. A. Campbell","is_ca":true},{"name":"David L. Wehlau","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03066609219537668,"gpt":0.292625512996229,"spread":0.2619594208008523,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004713057,0.0003326119,0.0002142155,0.001415162,0.0008295474,0.001620945,0.0003132943,0.0004577953,0.003362815],"category_scores_gemma":[0.001534187,0.0001281706,0.0003041797,0.0009012779,0.001637346,0.002869789,0.0006088826,0.0006499168,0.0004495665],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004231209,"about_ca_system_score_gemma":0.0002942162,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003966429,"about_ca_topic_score_gemma":0.0004332456,"domain_scores_codex":[0.9996936,0.00007570827,0.00002236897,0.00005328414,0.00008514165,0.00006996217],"domain_scores_gemma":[0.9995793,0.0001469307,0.00009612684,0.00006213468,0.00006532128,0.00005022988],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000008800745,0.000003346285,0.0001116081,0.00001482707,0.000001090264,0.00003722557,0.0001812109,0.0003503109,0.001007685,0.9912896,0.0001604443,0.006833863],"study_design_scores_gemma":[0.000006226566,0.00002684017,0.000179843,0.00002324384,0.000003820515,0.0001826297,0.0001997256,0.002041974,0.001393631,0.9893543,0.006575483,0.00001230239],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6079707,0.003339811,0.2651892,0.0009954118,0.0004493691,0.00007285203,0.0001663524,0.0003093022,0.121507],"genre_scores_gemma":[0.9478002,0.001685623,0.03736362,0.0002246321,0.0001705378,0.00004585854,0.0001103099,0.00003970577,0.0125596],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003362815,"threshold_uncertainty_score":0.01124972,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402388714","doi":"10.1080/00150517.2022.12427477","title":"A Matrix-Based Recursion Relation for F <sub> F <sub>n</sub> </sub>","year":2022,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"York University","funders":"","keywords":"Recursion (computer science); Relation (database); Matrix (chemical analysis); Mathematics; Pure mathematics; Combinatorics; Computer science; Algorithm; Materials science; Data mining","authors":[{"name":"John M. Campbell","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.009473507065176343,"gpt":0.2291875706927449,"spread":0.2197140636275685,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001331849,0.0006669988,0.0004864993,0.001335929,0.001591827,0.00179832,0.0006915287,0.001058463,0.005233365],"category_scores_gemma":[0.004150211,0.0003424131,0.001030571,0.001185148,0.002259209,0.00274933,0.001079545,0.003127017,0.003246363],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001480831,"about_ca_system_score_gemma":0.001192277,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002897238,"about_ca_topic_score_gemma":0.003613855,"domain_scores_codex":[0.9991131,0.0001285376,0.00008460492,0.0002449278,0.0003173679,0.0001114394],"domain_scores_gemma":[0.9986531,0.000551107,0.0001029813,0.0001116027,0.0005268001,0.00005445138],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001495804,0.00001985148,0.0001754531,0.00007136788,0.000005285341,0.0001340147,0.0004859338,0.001131037,0.006591337,0.9703026,0.003144513,0.01792351],"study_design_scores_gemma":[0.0000191855,0.0001399752,0.0005711361,0.00009331911,0.00003550191,0.001555262,0.000130195,0.03082664,0.01672176,0.8779883,0.07180826,0.0001105265],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01957219,0.002430339,0.9025356,0.001054648,0.00105031,0.0001276494,0.0003184536,0.0003742841,0.07253657],"genre_scores_gemma":[0.3961603,0.00379554,0.555346,0.002124591,0.001411882,0.0003586836,0.0006525803,0.0003999509,0.03975055],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005233365,"threshold_uncertainty_score":0.01750737,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402831324","doi":"10.1080/00150517.2017.12427779","title":"Golden-Ratio-Based Rectangular Tilings","year":2017,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Quasicrystal Structures and Properties","field":"Materials Science","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Golden ratio; Mathematics; Combinatorics; Geometry","authors":[{"name":"Mark Bryant","is_ca":true},{"name":"David Hobill","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01456720798754383,"gpt":0.2430309107582335,"spread":0.2284637027706897,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002330832,0.0002372029,0.0003181057,0.0004323814,0.0003727969,0.0007359984,0.0004763192,0.0002867398,0.00616568],"category_scores_gemma":[0.0009589128,0.0002152386,0.0003185527,0.0003238114,0.0008343859,0.0007853007,0.0007886299,0.0004968406,0.001238031],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003623223,"about_ca_system_score_gemma":0.0002091731,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004517957,"about_ca_topic_score_gemma":0.0006319908,"domain_scores_codex":[0.999732,0.00004244923,0.00002209324,0.00007680949,0.0000703736,0.00005643402],"domain_scores_gemma":[0.9997162,0.00006767592,0.00003274467,0.00009052601,0.00005568866,0.00003717324],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001284209,0.00002251095,0.000344903,0.0001053615,0.000008600357,0.0002448635,0.0002063127,0.02458062,0.03949968,0.8828471,0.002996677,0.04901487],"study_design_scores_gemma":[0.0001162232,0.0002785944,0.0009127862,0.00006134644,0.00002504573,0.000802415,0.000221389,0.1881024,0.0675349,0.6836112,0.05825918,0.00007448477],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3141668,0.0007787978,0.5635996,0.0003240372,0.0005808236,0.0001022714,0.0005491481,0.001125454,0.118773],"genre_scores_gemma":[0.8415843,0.000546722,0.1366145,0.0001582604,0.00009116884,0.000117379,0.0004961626,0.0002789428,0.02011264],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00616568,"threshold_uncertainty_score":0.02062625,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402633295","doi":"10.1080/00150517.2001.12428737","title":"Sets in Which the Product of Any <i>K</i> Elements Increased by <i>t</i> Is a <i>k</i> <sup>th</sup> Power","year":2001,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval; Université de Montréal","funders":"","keywords":"Power (physics); Product (mathematics); Physics; Mathematics; Thermodynamics; Geometry","authors":[{"name":"A. El Kihel","is_ca":true},{"name":"Omar Kihel","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.005996229299333878,"gpt":0.2464946287699177,"spread":0.2404983994705838,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001237085,0.0006450788,0.0006491867,0.001979785,0.00355771,0.005033818,0.001569538,0.001120016,0.01242916],"category_scores_gemma":[0.00532168,0.0007634592,0.001163262,0.00176203,0.003920082,0.006639169,0.003149069,0.002020654,0.003658803],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00108053,"about_ca_system_score_gemma":0.0007585938,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007249466,"about_ca_topic_score_gemma":0.0008399059,"domain_scores_codex":[0.9981163,0.0002501307,0.0002343571,0.0004098779,0.0006250165,0.0003642944],"domain_scores_gemma":[0.9960713,0.001339938,0.0004357266,0.001043968,0.0007871141,0.0003218784],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003812909,0.0000631659,0.001544769,0.0001388281,0.00008115196,0.0009351473,0.001740231,0.001081322,0.01829695,0.9377361,0.00536305,0.0326381],"study_design_scores_gemma":[0.00007508633,0.0001553915,0.003184059,0.00007326104,0.0001452733,0.00273546,0.00144533,0.005279431,0.0385473,0.8527366,0.09550206,0.0001207681],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3126165,0.001869694,0.3828776,0.001478638,0.001396655,0.000276245,0.00133353,0.001641978,0.2965093],"genre_scores_gemma":[0.7906322,0.0008886391,0.1295417,0.0008414437,0.0005610654,0.0005831121,0.001766715,0.0007882023,0.07439686],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01242916,"threshold_uncertainty_score":0.04157966,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402831600","doi":"10.1080/00150517.2017.12427757","title":"On Conway’s Subprime Function, A Covering of ℕ and an Unexpected Appearance of the Golden Ratio","year":2017,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"","keywords":"Golden ratio; Mathematics; Art; Combinatorics; Philosophy; Mathematical economics; Geometry","authors":[{"name":"Mihai Caragiu","is_ca":false},{"name":"Paul Vicol","is_ca":true},{"name":"Mohammad Zaki","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.009898866677414039,"gpt":0.2671708089224026,"spread":0.2572719422449886,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001321239,0.0004484453,0.0005940421,0.0009621099,0.001871973,0.002013816,0.0005601494,0.001031386,0.002864531],"category_scores_gemma":[0.006951306,0.0002626657,0.000668122,0.0006040354,0.006338192,0.004385683,0.001528717,0.001412463,0.0004258939],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009394282,"about_ca_system_score_gemma":0.000404717,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00064502,"about_ca_topic_score_gemma":0.0005185577,"domain_scores_codex":[0.9994435,0.0001832445,0.00002420319,0.0001415813,0.0001138643,0.00009364542],"domain_scores_gemma":[0.998008,0.00126449,0.0001774852,0.0002821672,0.0001059383,0.000161959],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002918573,0.000004409073,0.0002638763,0.00001265063,0.000001874483,0.00008249932,0.0001551686,0.0006613738,0.0006588997,0.9942754,0.0004067732,0.00344803],"study_design_scores_gemma":[0.0000112486,0.00004142554,0.0002985302,0.00001423506,0.000005399913,0.0002437312,0.00006494841,0.006123449,0.001564083,0.9863468,0.005267892,0.00001827128],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.661401,0.001772183,0.2412648,0.002906038,0.0004920359,0.00005366198,0.0001401729,0.0003263596,0.0916438],"genre_scores_gemma":[0.9669055,0.0003584847,0.02660072,0.0003639012,0.0001750001,0.00004210811,0.00006117545,0.00009359473,0.005399598],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002864531,"threshold_uncertainty_score":0.009582818,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402633000","doi":"10.1080/00150517.2000.12428791","title":"On <i>p</i> -adic Complementary Theorems between Pascal’s Triangle and the Modified Pascal Triangle","year":2000,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"advanced mathematical theories","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Regina","funders":"","keywords":"Pascal (unit); Mathematics; Combinatorics; Pure mathematics; Calculus (dental); Computer science; Programming language; Medicine","authors":[{"name":"Ando Shiro","is_ca":false},{"name":"Sato Daihachiro","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03264634650055289,"gpt":0.2956309585185544,"spread":0.2629846120180016,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002151774,0.000753486,0.0008876244,0.002956966,0.003126397,0.003900708,0.001173351,0.001699561,0.008450967],"category_scores_gemma":[0.006751657,0.0005284723,0.001060532,0.003020543,0.00666393,0.007937907,0.00263376,0.004517631,0.0009296072],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002514086,"about_ca_system_score_gemma":0.00105568,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002760288,"about_ca_topic_score_gemma":0.001967903,"domain_scores_codex":[0.9988894,0.0003585062,0.0000564808,0.0001870968,0.00033422,0.0001743911],"domain_scores_gemma":[0.9967348,0.002057794,0.0002132571,0.0002084792,0.0005808501,0.0002048358],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000006089816,0.000002846517,0.00002580228,0.000009534705,0.000001295316,0.00001988196,0.00005512749,0.00004408681,0.00006743529,0.9978817,0.000531982,0.001354207],"study_design_scores_gemma":[0.000007097397,0.000005153308,0.00008606492,0.000008183682,0.000003085091,0.00006327459,0.00003250729,0.0004893173,0.0001056803,0.9954681,0.003726524,0.000005076874],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1249876,0.008042815,0.1486607,0.007341618,0.002410094,0.00006716794,0.000300325,0.0001990587,0.7079906],"genre_scores_gemma":[0.9073189,0.004089701,0.03982271,0.002666094,0.002608462,0.0001615999,0.0003039327,0.0001846926,0.04284377],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008450967,"threshold_uncertainty_score":0.02827126,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402832126","doi":"10.1080/00150517.2013.12427950","title":"Pairs of Reciprocal Quadratic Congruences Involving Primes","year":2013,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"","keywords":"Congruence relation; Reciprocal; Mathematics; Quadratic equation; Pure mathematics; Combinatorics; Linguistics; Geometry; Philosophy","authors":[{"name":"John B. Cosgrave","is_ca":false},{"name":"Karl Dilcher","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03759854877993854,"gpt":0.3095710546599863,"spread":0.2719725058800477,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008613762,0.001222071,0.0008265982,0.001854633,0.00237265,0.003589531,0.0009450274,0.001904652,0.01821929],"category_scores_gemma":[0.00589149,0.000552909,0.001330124,0.001225662,0.003146576,0.003197666,0.00237667,0.001997311,0.002708838],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00147984,"about_ca_system_score_gemma":0.0009517414,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005001182,"about_ca_topic_score_gemma":0.0005830784,"domain_scores_codex":[0.9987092,0.0002892491,0.0001052193,0.0002182615,0.000420459,0.0002575133],"domain_scores_gemma":[0.9993016,0.0002464479,0.000130805,0.00007055654,0.0001505633,0.0001000875],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006896141,0.00003166356,0.0005608329,0.00009043298,0.00001560129,0.0005072812,0.0005431143,0.002231976,0.005446019,0.9751635,0.002353475,0.0129872],"study_design_scores_gemma":[0.0001009261,0.00006253436,0.000355601,0.00005648474,0.00002065904,0.001017024,0.0008419501,0.01540121,0.00840535,0.9626302,0.01103711,0.00007084206],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5499371,0.000944846,0.2366384,0.002744301,0.0007933621,0.000351124,0.000430306,0.0005571814,0.2076034],"genre_scores_gemma":[0.8745101,0.000494101,0.08833209,0.0003913855,0.0003252769,0.0002536676,0.0004133665,0.0002295261,0.03505043],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01821929,"threshold_uncertainty_score":0.06094962,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402831647","doi":"10.1080/00150517.2015.12428272","title":"Congruences for Partial Sums of Reciprocals","year":2015,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"","keywords":"Congruence relation; Mathematics; Combinatorics","authors":[{"name":"Abdullah Al-Shaghay","is_ca":true},{"name":"Karl Dilcher","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0884025195107646,"gpt":0.3293164007879383,"spread":0.2409138812771737,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004122682,0.00138417,0.001652983,0.004821293,0.004637585,0.007020985,0.001068261,0.001152953,0.01074014],"category_scores_gemma":[0.01652334,0.001034464,0.002962613,0.002946925,0.006766962,0.008453369,0.00363431,0.004312503,0.003683018],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002830576,"about_ca_system_score_gemma":0.001375425,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001030136,"about_ca_topic_score_gemma":0.001041685,"domain_scores_codex":[0.9951873,0.0008083244,0.0005315549,0.0008405164,0.001914725,0.0007174284],"domain_scores_gemma":[0.9953935,0.002143405,0.0003827359,0.0004678786,0.001168694,0.0004438793],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001515032,0.00001488143,0.0002270786,0.0000297932,0.00000411147,0.0001560614,0.0002864177,0.000225426,0.0006163317,0.9930992,0.001177027,0.004148646],"study_design_scores_gemma":[0.00002711412,0.0000196959,0.0002093837,0.00003304346,0.00001118223,0.000297835,0.000125244,0.001738918,0.001311643,0.9842704,0.01193509,0.00002037901],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.226173,0.004433907,0.2764549,0.003018652,0.002185501,0.0003538053,0.0007859026,0.0007856748,0.4858085],"genre_scores_gemma":[0.8667902,0.002537723,0.08472961,0.0006783251,0.002799942,0.0003465312,0.00110864,0.0006418126,0.04036727],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01074014,"threshold_uncertainty_score":0.03592932,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402388630","doi":"10.1080/00150517.2022.12427460","title":"Fibonacci Summation Identities Arising from Catalan’s Identity","year":2022,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Catalan; Fibonacci number; Identity (music); Mathematics; Catalan number; Linguistics; Combinatorics; Physics; Philosophy; Acoustics","authors":[{"name":"Hans J. H. Tuenter","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.008996637912326614,"gpt":0.2551231645214444,"spread":0.2461265266091178,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003002363,0.0008682197,0.0009786843,0.002696111,0.004593951,0.003835709,0.001154754,0.001348925,0.009772749],"category_scores_gemma":[0.006783298,0.0004890076,0.00168656,0.002113045,0.003126636,0.00625846,0.002881631,0.003628233,0.002923468],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001857653,"about_ca_system_score_gemma":0.001213967,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001616264,"about_ca_topic_score_gemma":0.001908536,"domain_scores_codex":[0.9982747,0.0004060831,0.0001191674,0.0002964957,0.0006773674,0.0002262577],"domain_scores_gemma":[0.9980117,0.0008664005,0.0001114302,0.0002893162,0.0005741791,0.0001468772],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000002249117,0.000002301558,0.00003416953,0.00001056763,0.000001351157,0.00004574993,0.00008453791,0.0001401341,0.0001872633,0.9955351,0.001260461,0.002696259],"study_design_scores_gemma":[0.000002487611,0.000004646247,0.0000714925,0.00001256248,0.000002896524,0.0001328416,0.00002998606,0.002101633,0.000316716,0.9855502,0.01176381,0.00001067969],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04096292,0.003408902,0.5741975,0.003554768,0.002814229,0.00009899464,0.000333644,0.0002563906,0.3743727],"genre_scores_gemma":[0.5602615,0.00490513,0.3143831,0.003814531,0.003863016,0.0004505373,0.0005504143,0.0006114861,0.1111602],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009772749,"threshold_uncertainty_score":0.03269309,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402623004","doi":"10.1080/00150517.2000.12428775","title":"On the Extendibility of the Set {1, 2, 5}","year":2000,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Set (abstract data type); Computer science; Programming language","authors":[{"name":"Omar Kihel","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.00999925163647837,"gpt":0.2548853402221898,"spread":0.2448860885857114,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001117353,0.0004780172,0.0004513894,0.0007792369,0.001395282,0.001255366,0.0008533087,0.000561188,0.003507514],"category_scores_gemma":[0.003409194,0.0003860627,0.0008767348,0.0005055366,0.004016135,0.00313929,0.002507764,0.002609739,0.0003195038],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005752501,"about_ca_system_score_gemma":0.0004126574,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000493493,"about_ca_topic_score_gemma":0.000418041,"domain_scores_codex":[0.999323,0.0001534363,0.00004674218,0.0001814738,0.0001566597,0.0001387627],"domain_scores_gemma":[0.9970708,0.002192353,0.0002336733,0.0002118201,0.0001437072,0.0001476019],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002168892,0.00003954436,0.001572696,0.000122955,0.00002170826,0.0007710053,0.0009107686,0.00704431,0.002685287,0.972012,0.0008663773,0.01373639],"study_design_scores_gemma":[0.0000387336,0.0001141199,0.00148213,0.00007540832,0.00002289835,0.0005983787,0.0002374464,0.01360355,0.002255438,0.9745004,0.007030347,0.0000411183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7087306,0.002327929,0.1312282,0.002062649,0.0002771526,0.00007399258,0.0004732895,0.0001629285,0.1546633],"genre_scores_gemma":[0.963811,0.001038991,0.02641273,0.0002141661,0.0002789549,0.00007522405,0.0003943242,0.00002854491,0.007746088],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003507514,"threshold_uncertainty_score":0.01173383,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402632934","doi":"10.1080/00150517.2000.12428820","title":"Generalizations of Modified Morgan-Voyce Polynomials","year":2000,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Pure mathematics; Algebra over a field; Mathematical economics","authors":[{"name":"M.N.S. Swamy","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03680251417440084,"gpt":0.2898499370449333,"spread":0.2530474228705325,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007139447,0.0003566514,0.0003527213,0.001394161,0.0006947622,0.001282309,0.0007345406,0.0004206685,0.004698731],"category_scores_gemma":[0.003668167,0.0002152529,0.000598727,0.001241444,0.001421642,0.002383542,0.0009888611,0.00146505,0.0006738683],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001023987,"about_ca_system_score_gemma":0.0005295767,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002551051,"about_ca_topic_score_gemma":0.002175768,"domain_scores_codex":[0.9994038,0.00009160388,0.0000264021,0.0001361911,0.0002283717,0.0001135898],"domain_scores_gemma":[0.9991668,0.0002463936,0.0001311067,0.0001520634,0.0002050382,0.0000985962],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000163017,0.000004026823,0.0001463285,0.00002249973,0.000003730847,0.00005674695,0.00009616558,0.002412262,0.0009825217,0.9863443,0.0007831532,0.00913198],"study_design_scores_gemma":[0.00001640225,0.00004253888,0.0005180246,0.00001891468,0.000007841581,0.0003374192,0.00006994492,0.02100072,0.001299285,0.9432968,0.03336028,0.00003179817],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2608024,0.00424016,0.5604068,0.001932424,0.001402244,0.0001322598,0.0007275352,0.0003320304,0.1700242],"genre_scores_gemma":[0.9101092,0.002291007,0.05185992,0.0004075532,0.000887403,0.00007158436,0.0002420393,0.00008641114,0.03404489],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004698731,"threshold_uncertainty_score":0.01571882,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4407343470","doi":"10.1080/00150517.2000.12428807","title":"Some Further Properties of André-Jeannin and Their Companion Polynomials","year":2000,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Meromorphic and Entire Functions","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Pure mathematics","authors":[{"name":"M. N. S. Swamy","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04136238685063051,"gpt":0.2421991513145705,"spread":0.20083676446394,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001313683,0.0003783779,0.0004507379,0.001353085,0.001700942,0.001863357,0.0004987726,0.0008875749,0.00554325],"category_scores_gemma":[0.006289926,0.0002502831,0.0003983761,0.001616575,0.00212067,0.00287196,0.001367194,0.001876989,0.0006948664],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001411004,"about_ca_system_score_gemma":0.0006016174,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001744396,"about_ca_topic_score_gemma":0.001571689,"domain_scores_codex":[0.999301,0.000131682,0.00002745633,0.0001709158,0.000240065,0.0001289465],"domain_scores_gemma":[0.9987805,0.0005496751,0.0001837431,0.0001524298,0.0002127416,0.0001208972],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000009437479,0.000006401315,0.0001313275,0.000009013726,9.091029e-7,0.00003614217,0.0002177865,0.0001145284,0.0002148653,0.9944879,0.0006884438,0.004083141],"study_design_scores_gemma":[0.00001390075,0.0000336938,0.0008696806,0.00001982178,0.000004324318,0.0003500083,0.0001660053,0.003654351,0.0007240602,0.9560925,0.03805122,0.0000204364],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3678606,0.006173654,0.1325343,0.005782458,0.001211437,0.00007778958,0.0005723705,0.0002424501,0.4855449],"genre_scores_gemma":[0.9282005,0.001547605,0.0219772,0.0008373228,0.0009777824,0.00007018494,0.0002490148,0.00005877385,0.04608171],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00554325,"threshold_uncertainty_score":0.01854408,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402391067","doi":"10.1080/00150517.2024.12427378","title":"Binomial Sums Involving Second-Order Linearly Recurrent Sequences","year":2024,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Binomial (polynomial); Mathematics; Order (exchange); Binomial coefficient; Statistics; Combinatorics; Applied mathematics; Economics","authors":[{"name":"John M. Campbell","is_ca":true},{"name":"Emrah Kılıç","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01203375365646353,"gpt":0.274982065350195,"spread":0.2629483116937315,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001860689,0.0005854436,0.0007037632,0.00212567,0.0009987359,0.002890643,0.0007805932,0.000715883,0.005419765],"category_scores_gemma":[0.007630834,0.0003567374,0.0005470933,0.001299001,0.001826596,0.003029013,0.001328359,0.0009472738,0.001022604],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008503177,"about_ca_system_score_gemma":0.0007470068,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005405173,"about_ca_topic_score_gemma":0.000787863,"domain_scores_codex":[0.9989365,0.0002523047,0.00006469953,0.0001100416,0.0004424281,0.0001941498],"domain_scores_gemma":[0.9985479,0.0006977804,0.0002162401,0.00008648074,0.0002951798,0.0001563915],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004739921,0.00002615871,0.0008816869,0.0001014747,0.0000179892,0.0007009168,0.0003863311,0.00785157,0.00584345,0.9677429,0.0009267874,0.01547338],"study_design_scores_gemma":[0.00001895072,0.00006040733,0.0009570899,0.00008162121,0.00002385471,0.0008656785,0.0002713555,0.06279852,0.007631077,0.9219008,0.005329531,0.00006103575],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5326921,0.001691408,0.356924,0.000607323,0.0006658911,0.0001024581,0.0002215775,0.0002725212,0.1068226],"genre_scores_gemma":[0.9302334,0.0009968118,0.05120413,0.0002394805,0.0002855913,0.0001136658,0.0001874176,0.0001404239,0.01659902],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005419765,"threshold_uncertainty_score":0.0181309,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W7117676500","doi":"10.1080/00150517.2025.2515497","title":"Dynamics of the Fibonacci Order of Appearance Map","year":2025,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Trinity College","funders":"Williams College; National Science Foundation","keywords":"Fibonacci number; Integer (computer science); Order (exchange); Fixed point; Sequence (biology); Fibonacci polynomials; Point (geometry); Periodic point","authors":[{"name":"Molly FitzGibbons","is_ca":false},{"name":"Mohammad Javaheri","is_ca":false},{"name":"Steven J. Miller","is_ca":false},{"name":"Amanda Verga","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.003649915172705188,"gpt":0.2436047897240415,"spread":0.2399548745513364,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005278994,0.0002651393,0.0004016456,0.001333087,0.001698113,0.002155371,0.0006879646,0.001104511,0.009242086],"category_scores_gemma":[0.00428069,0.0003376421,0.0004087009,0.0005204619,0.001519229,0.002901059,0.001398947,0.001048571,0.001593375],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001466815,"about_ca_system_score_gemma":0.0007000223,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002517134,"about_ca_topic_score_gemma":0.001710136,"domain_scores_codex":[0.9995758,0.00006600745,0.00001433428,0.00008632566,0.0001466027,0.0001109823],"domain_scores_gemma":[0.9990426,0.0003199992,0.0001166205,0.0001068695,0.0002368619,0.0001770069],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006917665,0.00002531671,0.001735515,0.00004552205,0.000007259429,0.0003206778,0.0008109836,0.006312536,0.008350709,0.9686297,0.002807515,0.0108851],"study_design_scores_gemma":[0.00005516463,0.0001067042,0.003812718,0.00006101185,0.00001572106,0.0007641199,0.0007300735,0.1526424,0.00566768,0.8077827,0.02827932,0.00008233455],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6720831,0.001320758,0.1502747,0.002410827,0.0004455428,0.0001114762,0.0005050915,0.0006177019,0.1722309],"genre_scores_gemma":[0.9563975,0.0004651013,0.01736081,0.0001758555,0.00009639168,0.00009419343,0.0001754205,0.0001084348,0.02512643],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009242086,"threshold_uncertainty_score":0.03091788,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402831568","doi":"10.1080/00150517.2017.12427775","title":"A Problem on Generation Sets Containing Fibonacci Numbers","year":2017,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Mount Saint Vincent University","funders":"","keywords":"Fibonacci number; Pisano period; Mathematics; Lucas number; Fibonacci polynomials; Combinatorics; Arithmetic; Discrete mathematics","authors":[{"name":"Danielle Cox","is_ca":true},{"name":"Karyn McLellan","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02247551899412822,"gpt":0.3012130137650794,"spread":0.2787374947709512,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.008201908,0.0006684726,0.001736608,0.00182558,0.004184528,0.00329231,0.002265154,0.00425611,0.008535473],"category_scores_gemma":[0.06156926,0.001212388,0.001826445,0.002216134,0.003702833,0.007862764,0.002735089,0.002949623,0.001092631],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00206052,"about_ca_system_score_gemma":0.00131413,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001524358,"about_ca_topic_score_gemma":0.0007067834,"domain_scores_codex":[0.9949366,0.001777108,0.0005237712,0.0009926291,0.001343354,0.0004265342],"domain_scores_gemma":[0.9365687,0.05522475,0.001966421,0.002939928,0.002616394,0.0006838109],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0004959826,0.0001523668,0.005111735,0.0004187948,0.0000969824,0.0009382089,0.001831054,0.04409704,0.003402669,0.8131254,0.01564192,0.1146878],"study_design_scores_gemma":[0.0001094963,0.0001605437,0.0009183081,0.0001161309,0.00005034887,0.001216758,0.0003663663,0.08876595,0.003605774,0.8863614,0.01827339,0.00005548685],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3608468,0.002908384,0.5881969,0.01131461,0.0006543596,0.0003799968,0.001399141,0.000973216,0.03332661],"genre_scores_gemma":[0.7675946,0.001014505,0.2107153,0.002198985,0.0007791712,0.0004796216,0.002216397,0.0004796702,0.0145218],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008535473,"threshold_uncertainty_score":0.04337639,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402633004","doi":"10.1080/00150517.2000.12428792","title":"A Number Theoretic Function Arising from Continued Fractions","year":2000,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Winnipeg; University of Manitoba","funders":"","keywords":"Function (biology); Mathematics; Combinatorics; Computer science; Biology","authors":[{"name":"Hywel C Williams","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01746058987406742,"gpt":0.2915599787836733,"spread":0.2740993889096059,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006462356,0.0007689141,0.0005565279,0.002202389,0.001658794,0.003759689,0.0004931497,0.001146732,0.006128985],"category_scores_gemma":[0.002796144,0.0002652156,0.0005758299,0.00166072,0.002990347,0.004198243,0.001403667,0.0015826,0.001267716],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001439098,"about_ca_system_score_gemma":0.000627215,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005437668,"about_ca_topic_score_gemma":0.0003222927,"domain_scores_codex":[0.9996738,0.00008107672,0.00001550632,0.00005617467,0.0001088816,0.00006455393],"domain_scores_gemma":[0.9993935,0.0003221104,0.00006679354,0.00005754301,0.00008653953,0.00007356425],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000008171792,0.000002760834,0.00004404793,0.00001491976,0.000001393795,0.0000555888,0.00009775929,0.0002592586,0.0002892137,0.9954447,0.0004459781,0.003336345],"study_design_scores_gemma":[0.000008184925,0.0000107259,0.0000864369,0.00001704381,0.000003619421,0.0001871458,0.00004432868,0.002251446,0.0003305861,0.9885471,0.00850571,0.00000764522],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3562294,0.008535326,0.2725622,0.007317964,0.001829753,0.00008217913,0.0003767309,0.000601347,0.3524651],"genre_scores_gemma":[0.9221649,0.002876828,0.03137373,0.0005347555,0.001464014,0.00007946275,0.000182324,0.0001281631,0.04119569],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006128985,"threshold_uncertainty_score":0.02050352,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402831806","doi":"10.1080/00150517.2012.12428023","title":"Polynomial Forms for Alternating Sums of Products of Binomial-Catalan Numbers","year":2012,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Royal Military College of Canada; Royal Ottawa Mental Health Centre","funders":"","keywords":"Catalan number; Mathematics; Binomial (polynomial); Binomial coefficient; Catalan; Polynomial; Gaussian binomial coefficient; Combinatorics; Discrete mathematics; Pure mathematics; Negative binomial distribution; Statistics; Mathematical analysis; Linguistics; Poisson distribution","authors":[{"name":"N. Gauthier","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03885015306470962,"gpt":0.2944854149642005,"spread":0.2556352618994909,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001168296,0.0006575634,0.0004772773,0.001900763,0.001308016,0.003011778,0.0008081864,0.0007766277,0.006244481],"category_scores_gemma":[0.004869173,0.000324323,0.0006264541,0.001554112,0.002111093,0.003626634,0.001204975,0.001395979,0.001342914],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001150459,"about_ca_system_score_gemma":0.0004735524,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005637944,"about_ca_topic_score_gemma":0.0006644672,"domain_scores_codex":[0.9990335,0.0002600797,0.00005369915,0.0001404753,0.0003559132,0.0001563196],"domain_scores_gemma":[0.9988386,0.0004976377,0.0001669898,0.00007917136,0.0002757968,0.0001419554],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000155008,0.000008856093,0.0001370133,0.00002530577,0.000002585399,0.00008411912,0.0001736601,0.000897818,0.0008007268,0.9903087,0.000614094,0.006931563],"study_design_scores_gemma":[0.000007398538,0.00002524733,0.0002120977,0.00001956493,0.000006124439,0.0003663992,0.00008616872,0.009928871,0.0007900334,0.9818993,0.006640238,0.00001856395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4890911,0.002104722,0.3230172,0.001281569,0.0007130189,0.00007606565,0.000240222,0.000213527,0.1832626],"genre_scores_gemma":[0.9189678,0.001017091,0.04564708,0.0002808142,0.0006559744,0.00009980676,0.0002008544,0.0001218108,0.03300865],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006244481,"threshold_uncertainty_score":0.02088988,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402399341","doi":"10.1080/00150517.2022.12427433","title":"Primes and Composites in the Determinant Hosoya Triangle","year":2022,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Composite material; Combinatorics; Mathematics; Materials science","authors":[{"name":"Hsin-Yun Ching","is_ca":false},{"name":"Rigoberto Flórez","is_ca":false},{"name":"F. Luca","is_ca":false},{"name":"Antara Mukherjee","is_ca":false},{"name":"J. C. Saunders","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.007561991416445148,"gpt":0.247382054837637,"spread":0.2398200634211919,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003503556,0.0002404823,0.0003919254,0.00119195,0.001553955,0.001979105,0.0002250702,0.0004496441,0.007007627],"category_scores_gemma":[0.002075006,0.000263335,0.0002618928,0.0007428745,0.003036143,0.002322071,0.001070724,0.0009199818,0.0006336633],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005045499,"about_ca_system_score_gemma":0.000271338,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001091519,"about_ca_topic_score_gemma":0.001211669,"domain_scores_codex":[0.9996479,0.00005019196,0.00001598779,0.00009578322,0.0001145075,0.00007561664],"domain_scores_gemma":[0.9993325,0.0003037538,0.00008573671,0.00009418527,0.00008780523,0.00009601928],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00008371806,0.000007719116,0.001215572,0.00003242953,0.000003242815,0.0003317808,0.0006629882,0.001202133,0.004169721,0.9801702,0.0005628013,0.01155779],"study_design_scores_gemma":[0.00002166517,0.00008159696,0.00264866,0.00002956329,0.00001356967,0.00116044,0.0009031827,0.008452849,0.005525004,0.9594342,0.02168969,0.00003964427],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8268449,0.001446207,0.06942444,0.0007133111,0.0002545963,0.00002611236,0.0001268975,0.0002517453,0.1009117],"genre_scores_gemma":[0.9832287,0.0003792233,0.009406012,0.00007055759,0.0001100991,0.00001334754,0.00005197621,0.00002977976,0.006710419],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007007627,"threshold_uncertainty_score":0.02344286,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3021798930","doi":"10.1080/00150517.2022.12427470","title":"Three Cousins of Recamán’s Sequence","year":2022,"lang":"en","type":"preprint","venue":"˜The œFibonacci quarterly","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Trinity College","funders":"","keywords":"Combinatorics; Sequence (biology); Concatenation (mathematics); Mathematics; Conjecture; Multiplicative function; Product (mathematics); Discrete mathematics; Arithmetic","authors":[{"name":"Max A. Alekseyev","is_ca":false},{"name":"Joseph Samuel Myers","is_ca":true},{"name":"Richard Schroeppel","is_ca":false},{"name":"S. R. Shannon","is_ca":false},{"name":"N. J. A. Sloane","is_ca":false},{"name":"Paul Zimmermann","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1102590680115225,"gpt":0.3719096578814803,"spread":0.2616505898699578,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009712494,0.0006424705,0.0006638485,0.001567286,0.002027377,0.001601403,0.0009688927,0.001001461,0.01204448],"category_scores_gemma":[0.009546145,0.0003645829,0.0005856683,0.001680081,0.002873268,0.003272685,0.001818875,0.002426169,0.004120376],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001458498,"about_ca_system_score_gemma":0.0009117941,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001983374,"about_ca_topic_score_gemma":0.002534966,"domain_scores_codex":[0.9987287,0.0002647123,0.0000839323,0.0003075637,0.0004035122,0.0002116081],"domain_scores_gemma":[0.9978262,0.0006516995,0.0002573936,0.0005406149,0.0004945779,0.0002295174],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0006813869,0.00006003577,0.002739073,0.0002262205,0.00002712644,0.0007735955,0.000687114,0.004261828,0.004696,0.8684736,0.02340609,0.09396795],"study_design_scores_gemma":[0.00006174053,0.0002094308,0.002149793,0.0002091839,0.00002767663,0.001242292,0.0003715958,0.01041134,0.006654202,0.8143358,0.1641891,0.0001379076],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4345485,0.0123343,0.2390697,0.01080212,0.005227816,0.0001952074,0.001762212,0.003167692,0.2928925],"genre_scores_gemma":[0.8212187,0.002272441,0.1043452,0.0026359,0.0009066214,0.0001894454,0.001594393,0.001245581,0.06559169],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01204448,"threshold_uncertainty_score":0.04029286,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402773046","doi":"10.1080/00150517.2020.12427574","title":"Congruences Involving Euler Numbers and Power Sums","year":2020,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Regina","funders":"","keywords":"Congruence relation; Euler's formula; Mathematics; Euler number (physics); Power (physics); Pure mathematics; Mathematical analysis; Physics; Euler equations; Backward Euler method; Semi-implicit Euler method","authors":[{"name":"Richard J. McIntosh","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03771029949306277,"gpt":0.2894113441475636,"spread":0.2517010446545008,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002027278,0.0006684134,0.0007279356,0.002123744,0.002840909,0.004081412,0.0005074317,0.0008052476,0.005460608],"category_scores_gemma":[0.009158569,0.0004544058,0.0007463315,0.001497237,0.008644852,0.008483799,0.002668661,0.003024138,0.001428962],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00153867,"about_ca_system_score_gemma":0.0007975333,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009046191,"about_ca_topic_score_gemma":0.0006606769,"domain_scores_codex":[0.9973647,0.0005324415,0.0002540283,0.0004632703,0.0009874305,0.0003981343],"domain_scores_gemma":[0.9981967,0.0008183123,0.0002090673,0.0001987359,0.0003970964,0.0001801096],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001306086,0.000006087248,0.0001373785,0.00001167151,0.000001085579,0.0001041393,0.000420986,0.0001033412,0.0007360115,0.9939787,0.0005079659,0.003979619],"study_design_scores_gemma":[0.0000116974,0.00001223425,0.0001939132,0.00001541573,0.000002131779,0.0001633434,0.0001353611,0.0005179706,0.001045096,0.9854526,0.01243995,0.00001040418],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2835286,0.006910135,0.1924835,0.004341353,0.002697862,0.0001315383,0.0001913072,0.0002762964,0.5094393],"genre_scores_gemma":[0.8995255,0.002719704,0.05929065,0.0007722096,0.002120629,0.0001065555,0.0001969299,0.0002268585,0.03504097],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005460608,"threshold_uncertainty_score":0.01826757,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402831554","doi":"10.1080/00150517.2017.12427739","title":"Areas of Triangles and Other Polygons with Vertices from Various Sequences","year":2017,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Columbia College","funders":"","keywords":"Combinatorics; Mathematics; Computer science","authors":[{"name":"Virginia Johnson","is_ca":true},{"name":"Charles K. Cook","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04420033024481679,"gpt":0.3065537293058145,"spread":0.2623533990609977,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003504124,0.0005363837,0.0003160829,0.002454077,0.0003757591,0.001388841,0.0008378625,0.0003776914,0.006374286],"category_scores_gemma":[0.00346477,0.0002256337,0.0003213682,0.001235842,0.001317112,0.002631594,0.000820835,0.0009562457,0.001114475],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003609801,"about_ca_system_score_gemma":0.0001475475,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003653989,"about_ca_topic_score_gemma":0.0004454377,"domain_scores_codex":[0.9996274,0.00007174354,0.00002467271,0.00006639674,0.0001674648,0.00004243629],"domain_scores_gemma":[0.9992985,0.0003165887,0.0001107968,0.00006609192,0.0001370149,0.000071091],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004020478,0.000007394266,0.0005318221,0.00008283321,0.000004614024,0.0001743491,0.0002629433,0.002429982,0.003448592,0.9630033,0.001594371,0.02841959],"study_design_scores_gemma":[0.00001681692,0.00005457733,0.001478544,0.00006549517,0.00001296575,0.001145888,0.0004184932,0.02595563,0.005637539,0.9408488,0.0243439,0.00002131022],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3056663,0.003614549,0.4438133,0.000793098,0.0004421553,0.0001127964,0.000580595,0.0003837908,0.2445934],"genre_scores_gemma":[0.8641913,0.002972003,0.1147925,0.0001830519,0.0004644827,0.0001395909,0.0006640017,0.0002255157,0.01636745],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006374286,"threshold_uncertainty_score":0.02132416,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4402399710","doi":"10.1080/00150517.2023.12427411","title":"Sums of Fibonacci Numbers Indexed by Integer Parts","year":2023,"lang":"en","type":"article","venue":"˜The œFibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"York University","funders":"","keywords":"Fibonacci number; Integer (computer science); Pisano period; Combinatorics; Mathematics; Arithmetic; Fibonacci polynomials; Computer science; Programming language","authors":[{"name":"John M. Campbell","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.008070857550459684,"gpt":0.2612520676634427,"spread":0.2531812101129831,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001345824,0.0007927551,0.0005989798,0.002168735,0.001034272,0.003054063,0.0009084858,0.000528258,0.006215537],"category_scores_gemma":[0.006353848,0.0003118014,0.0004878104,0.001296737,0.001643178,0.003754543,0.0008955291,0.0009180204,0.001265154],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009731037,"about_ca_system_score_gemma":0.0007211579,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000554929,"about_ca_topic_score_gemma":0.0009650168,"domain_scores_codex":[0.9992586,0.0001408594,0.00006841817,0.00009246072,0.0003431917,0.00009653423],"domain_scores_gemma":[0.9987575,0.0006202336,0.0001181143,0.00009767327,0.0003401156,0.00006634821],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005696395,0.00002133837,0.0005878392,0.000125589,0.0000208212,0.0003676642,0.0003582548,0.007859849,0.009858558,0.9464203,0.001808357,0.03251445],"study_design_scores_gemma":[0.00001185565,0.00006903872,0.0008486381,0.000168172,0.00003690097,0.000699709,0.0002336815,0.05853366,0.01405853,0.9026272,0.02264124,0.00007133697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1833774,0.002481551,0.683098,0.0005574642,0.0008104626,0.0001036864,0.0003232706,0.0005363852,0.1287118],"genre_scores_gemma":[0.7120935,0.001690367,0.2553201,0.0003882727,0.0003665397,0.0001913608,0.0003783988,0.0004706199,0.02910087],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006215537,"threshold_uncertainty_score":0.02079308,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}