{"id":"W2963579298","doi":"","title":"A modular supercongruence for <span class=\"mathjax-formula\">$_6F_5$</span>: An Apéry-like story","year":2018,"lang":"en","type":"article","venue":"French digital mathematics library (Numdam)","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery","keywords":"Congruence relation; Mathematics; Fourier series; Modulo; Pure mathematics; Modular form; Congruence (geometry); Sequence (biology); Harmonic number; Harmonic; Arithmetic; Combinatorics; Mathematical analysis; Physics; Riemann hypothesis; Chemistry; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","scholarly_communication","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0006645531,0.001402675,0.001851294,0.000557931,0.0007062471,0.001579316,0.002310392,0.0006235888,0.0007227376],"category_scores_gemma":[0.002281554,0.001309898,0.0007163233,0.0007762893,0.001168541,0.01091298,0.0009310417,0.0006392342,0.0008767826],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002039064,"about_ca_system_score_gemma":0.0003525222,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004438582,"about_ca_topic_score_gemma":0.00002584654,"domain_scores_codex":[0.9930874,0.0001254443,0.002035079,0.001458596,0.001475262,0.001818249],"domain_scores_gemma":[0.9925488,0.002320152,0.0008239632,0.002878632,0.0004716958,0.0009567548],"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":[0.00006052418,0.00360307,0.0000994484,0.004195371,0.0004446982,0.00007337907,0.006533717,0.0000313711,0.003634881,0.9010705,0.07913905,0.001114046],"study_design_scores_gemma":[0.001262514,0.0009975557,0.00004389105,0.0007973344,0.0002037386,0.0001216486,0.001280802,0.01545735,0.004749571,0.9417452,0.0316814,0.001659047],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6099259,0.0008423724,0.2600487,0.001220668,0.002277606,0.006346195,0.002322733,0.004631732,0.1123841],"genre_scores_gemma":[0.5600352,0.00006106872,0.3720543,0.0007350164,0.001819232,0.0009684747,0.0004816209,0.001057495,0.0627875],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1120056,"threshold_uncertainty_score":0.9999012,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03364723376280146,"score_gpt":0.2746547408224047,"score_spread":0.2410075070596032,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}