{"nodes":[{"k":"O:math:artin_holo","d":"math","t":"O","n":"artin_holo"},{"k":"O:math:artin_primroot","d":"math","t":"O","n":"artin_primroot"},{"k":"O:math:beal","d":"math","t":"O","n":"beal"},{"k":"O:math:bsd","d":"math","t":"O","n":"bsd"},{"k":"O:math:bunyakovsky","d":"math","t":"O","n":"bunyakovsky"},{"k":"O:math:eth","d":"math","t":"O","n":"eth"},{"k":"O:math:navierstokes","d":"math","t":"O","n":"navierstokes"},{"k":"O:math:novikov","d":"math","t":"O","n":"novikov"},{"k":"O:math:npconp","d":"math","t":"O","n":"npconp"},{"k":"O:math:nsq1","d":"math","t":"O","n":"nsq1"},{"k":"O:math:polignac","d":"math","t":"O","n":"polignac"},{"k":"O:math:rh","d":"math","t":"O","n":"rh"},{"k":"O:math:satotate","d":"math","t":"O","n":"satotate"},{"k":"O:math:schinzelH","d":"math","t":"O","n":"schinzelH"},{"k":"O:math:twin","d":"math","t":"O","n":"twin"},{"k":"O:math:yangmills","d":"math","t":"O","n":"yangmills"},{"k":"R:math:abel_ruffini","d":"math","t":"R","n":"abel_ruffini"},{"k":"R:math:ac_equiv","d":"math","t":"R","n":"ac_equiv"},{"k":"R:math:atiyah_singer","d":"math","t":"R","n":"atiyah_singer"},{"k":"R:math:baire_category","d":"math","t":"R","n":"baire_category"},{"k":"R:math:banach_steinhaus","d":"math","t":"R","n":"banach_steinhaus"},{"k":"R:math:banach_tarski","d":"math","t":"R","n":"banach_tarski"},{"k":"R:math:bell_theorem","d":"math","t":"R","n":"bell_theorem"},{"k":"R:math:borel_cantelli","d":"math","t":"R","n":"borel_cantelli"},{"k":"R:math:cantor","d":"math","t":"R","n":"cantor"},{"k":"R:math:cauchy_integral","d":"math","t":"R","n":"cauchy_integral"},{"k":"R:math:cfsg","d":"math","t":"R","n":"cfsg"},{"k":"R:math:ch_independence","d":"math","t":"R","n":"ch_independence"},{"k":"R:math:compactness","d":"math","t":"R","n":"compactness"},{"k":"R:math:cook_levin","d":"math","t":"R","n":"cook_levin"},{"k":"R:math:de_rham","d":"math","t":"R","n":"de_rham"},{"k":"R:math:euler_totient","d":"math","t":"R","n":"euler_totient"},{"k":"R:math:faltings","d":"math","t":"R","n":"faltings"},{"k":"R:math:feit_thompson","d":"math","t":"R","n":"feit_thompson"},{"k":"R:math:fermat_little","d":"math","t":"R","n":"fermat_little"},{"k":"R:math:flt","d":"math","t":"R","n":"flt"},{"k":"R:math:ftc","d":"math","t":"R","n":"ftc"},{"k":"R:math:galois_ftgt","d":"math","t":"R","n":"galois_ftgt"},{"k":"R:math:glivenko_cantelli","d":"math","t":"R","n":"glivenko_cantelli"},{"k":"R:math:godel_completeness","d":"math","t":"R","n":"godel_completeness"},{"k":"R:math:green_tao","d":"math","t":"R","n":"green_tao"},{"k":"R:math:hahn_banach","d":"math","t":"R","n":"hahn_banach"},{"k":"R:math:halting","d":"math","t":"R","n":"halting"},{"k":"R:math:hironaka","d":"math","t":"R","n":"hironaka"},{"k":"R:math:kam","d":"math","t":"R","n":"kam"},{"k":"R:math:kuratowski","d":"math","t":"R","n":"kuratowski"},{"k":"R:math:ladner","d":"math","t":"R","n":"ladner"},{"k":"R:math:lindstrom","d":"math","t":"R","n":"lindstrom"},{"k":"R:math:liouville_phase","d":"math","t":"R","n":"liouville_phase"},{"k":"R:math:lln","d":"math","t":"R","n":"lln"},{"k":"R:math:lowenheim_skolem","d":"math","t":"R","n":"lowenheim_skolem"},{"k":"R:math:modularity","d":"math","t":"R","n":"modularity"},{"k":"R:math:pcp","d":"math","t":"R","n":"pcp"},{"k":"R:math:picard_lindelof","d":"math","t":"R","n":"picard_lindelof"},{"k":"R:math:pnt","d":"math","t":"R","n":"pnt"},{"k":"R:math:poincare","d":"math","t":"R","n":"poincare"},{"k":"R:math:poincare_recurrence","d":"math","t":"R","n":"poincare_recurrence"},{"k":"R:math:quad_recip","d":"math","t":"R","n":"quad_recip"},{"k":"R:math:residue_theorem","d":"math","t":"R","n":"residue_theorem"},{"k":"R:math:rice_theorem","d":"math","t":"R","n":"rice_theorem"},{"k":"R:math:riemann_roch","d":"math","t":"R","n":"riemann_roch"},{"k":"R:math:riesz_representation","d":"math","t":"R","n":"riesz_representation"},{"k":"R:math:robertson_seymour","d":"math","t":"R","n":"robertson_seymour"},{"k":"R:math:roth_approx","d":"math","t":"R","n":"roth_approx"},{"k":"R:math:serre_duality","d":"math","t":"R","n":"serre_duality"},{"k":"R:math:spectral_thm","d":"math","t":"R","n":"spectral_thm"},{"k":"R:math:spin_statistics","d":"math","t":"R","n":"spin_statistics"},{"k":"R:math:stability_matter","d":"math","t":"R","n":"stability_matter"},{"k":"R:math:stokes_general","d":"math","t":"R","n":"stokes_general"},{"k":"R:math:surfaces","d":"math","t":"R","n":"surfaces"},{"k":"R:math:sylow","d":"math","t":"R","n":"sylow"},{"k":"R:math:szemeredi","d":"math","t":"R","n":"szemeredi"},{"k":"R:math:weil_conjectures","d":"math","t":"R","n":"weil_conjectures"},{"k":"O:sci:abiogenesis","d":"sci","t":"O","n":"abiogenesis"},{"k":"O:sci:baryon_asymmetry","d":"sci","t":"O","n":"baryon_asymmetry"},{"k":"O:sci:blackhole_info","d":"sci","t":"O","n":"blackhole_info"},{"k":"O:sci:dark_matter","d":"sci","t":"O","n":"dark_matter"},{"k":"O:sci:hierarchy_problem","d":"sci","t":"O","n":"hierarchy_problem"},{"k":"O:sci:measurement_problem","d":"sci","t":"O","n":"measurement_problem"},{"k":"O:sci:neutrino_mass","d":"sci","t":"O","n":"neutrino_mass"},{"k":"O:sci:quantum_gravity","d":"sci","t":"O","n":"quantum_gravity"},{"k":"O:sci:strong_cp","d":"sci","t":"O","n":"strong_cp"},{"k":"R:sci:age_of_earth","d":"sci","t":"R","n":"age_of_earth"},{"k":"R:sci:antibiotics","d":"sci","t":"R","n":"antibiotics"},{"k":"R:sci:antisepsis","d":"sci","t":"R","n":"antisepsis"},{"k":"R:sci:arrow_debreu","d":"sci","t":"R","n":"arrow_debreu"},{"k":"R:sci:atomic_theory","d":"sci","t":"R","n":"atomic_theory"},{"k":"R:sci:backpropagation","d":"sci","t":"R","n":"backpropagation"},{"k":"R:sci:band_theory","d":"sci","t":"R","n":"band_theory"},{"k":"R:sci:bb_nucleosynthesis","d":"sci","t":"R","n":"bb_nucleosynthesis"},{"k":"R:sci:bcs","d":"sci","t":"R","n":"bcs"},{"k":"R:sci:bec","d":"sci","t":"R","n":"bec"},{"k":"R:sci:big_bang","d":"sci","t":"R","n":"big_bang"},{"k":"R:sci:black_holes_real","d":"sci","t":"R","n":"black_holes_real"},{"k":"R:sci:bohr_model","d":"sci","t":"R","n":"bohr_model"},{"k":"R:sci:central_dogma","d":"sci","t":"R","n":"central_dogma"},{"k":"R:sci:chemical_bonding","d":"sci","t":"R","n":"chemical_bonding"},{"k":"R:sci:chemical_equilibrium","d":"sci","t":"R","n":"chemical_equilibrium"},{"k":"R:sci:cmb","d":"sci","t":"R","n":"cmb"},{"k":"R:sci:common_descent","d":"sci","t":"R","n":"common_descent"},{"k":"R:sci:comparative_method","d":"sci","t":"R","n":"comparative_method"},{"k":"R:sci:dark_matter_evidence","d":"sci","t":"R","n":"dark_matter_evidence"},{"k":"R:sci:deep_learning_works","d":"sci","t":"R","n":"deep_learning_works"},{"k":"R:sci:dna_structure","d":"sci","t":"R","n":"dna_structure"},{"k":"R:sci:endosymbiosis","d":"sci","t":"R","n":"endosymbiosis"},{"k":"R:sci:error_correction","d":"sci","t":"R","n":"error_correction"},{"k":"R:sci:evolution","d":"sci","t":"R","n":"evolution"},{"k":"R:sci:general_relativity","d":"sci","t":"R","n":"general_relativity"},{"k":"R:sci:genetic_code","d":"sci","t":"R","n":"genetic_code"},{"k":"R:sci:geomagnetic_reversals","d":"sci","t":"R","n":"geomagnetic_reversals"},{"k":"R:sci:germ_theory","d":"sci","t":"R","n":"germ_theory"},{"k":"R:sci:grimms_law","d":"sci","t":"R","n":"grimms_law"},{"k":"R:sci:h_pylori_ulcers","d":"sci","t":"R","n":"h_pylori_ulcers"},{"k":"R:sci:hardy_weinberg","d":"sci","t":"R","n":"hardy_weinberg"},{"k":"R:sci:hiv_aids","d":"sci","t":"R","n":"hiv_aids"},{"k":"R:sci:laser","d":"sci","t":"R","n":"laser"},{"k":"R:sci:lcdm","d":"sci","t":"R","n":"lcdm"},{"k":"R:sci:ltp_plasticity","d":"sci","t":"R","n":"ltp_plasticity"},{"k":"R:sci:mass_conservation","d":"sci","t":"R","n":"mass_conservation"},{"k":"R:sci:maxwell_em","d":"sci","t":"R","n":"maxwell_em"},{"k":"R:sci:mendelian_inheritance","d":"sci","t":"R","n":"mendelian_inheritance"},{"k":"R:sci:modern_synthesis","d":"sci","t":"R","n":"modern_synthesis"},{"k":"R:sci:newton_mechanics","d":"sci","t":"R","n":"newton_mechanics"},{"k":"R:sci:periodic_law","d":"sci","t":"R","n":"periodic_law"},{"k":"R:sci:photoelectric_effect","d":"sci","t":"R","n":"photoelectric_effect"},{"k":"R:sci:planck_law","d":"sci","t":"R","n":"planck_law"},{"k":"R:sci:plate_tectonics","d":"sci","t":"R","n":"plate_tectonics"},{"k":"R:sci:quantum_mechanics","d":"sci","t":"R","n":"quantum_mechanics"},{"k":"R:sci:radiometric_dating","d":"sci","t":"R","n":"radiometric_dating"},{"k":"R:sci:ribozymes","d":"sci","t":"R","n":"ribozymes"},{"k":"R:sci:shannon_info","d":"sci","t":"R","n":"shannon_info"},{"k":"R:sci:special_relativity","d":"sci","t":"R","n":"special_relativity"},{"k":"R:sci:standard_model","d":"sci","t":"R","n":"standard_model"},{"k":"R:sci:synaptic_transmission","d":"sci","t":"R","n":"synaptic_transmission"},{"k":"R:sci:thermodynamics","d":"sci","t":"R","n":"thermodynamics"},{"k":"R:sci:vaccination","d":"sci","t":"R","n":"vaccination"},{"k":"R:sci:welfare_theorems","d":"sci","t":"R","n":"welfare_theorems"},{"k":"O:hum:demandingness","d":"hum","t":"O","n":"demandingness"},{"k":"O:hum:gettier","d":"hum","t":"O","n":"gettier"},{"k":"O:hum:global_justice","d":"hum","t":"O","n":"global_justice"},{"k":"O:hum:indus_script","d":"hum","t":"O","n":"indus_script"},{"k":"O:hum:is_ought","d":"hum","t":"O","n":"is_ought"},{"k":"O:hum:justice_distributive","d":"hum","t":"O","n":"justice_distributive"},{"k":"O:hum:linear_a","d":"hum","t":"O","n":"linear_a"},{"k":"O:hum:nature_of_meaning","d":"hum","t":"O","n":"nature_of_meaning"},{"k":"O:hum:normative_theory","d":"hum","t":"O","n":"normative_theory"},{"k":"O:hum:population_ethics","d":"hum","t":"O","n":"population_ethics"},{"k":"O:hum:problem_of_evil","d":"hum","t":"O","n":"problem_of_evil"},{"k":"O:hum:punishment_justification","d":"hum","t":"O","n":"punishment_justification"},{"k":"O:hum:reference","d":"hum","t":"O","n":"reference"},{"k":"R:hum:dead_sea_scrolls","d":"hum","t":"R","n":"dead_sea_scrolls"},{"k":"R:hum:documentary_hypothesis","d":"hum","t":"R","n":"documentary_hypothesis"},{"k":"R:hum:donation_constantine","d":"hum","t":"R","n":"donation_constantine"},{"k":"R:hum:essentially_contested","d":"hum","t":"R","n":"essentially_contested"},{"k":"R:hum:free_will_defense","d":"hum","t":"R","n":"free_will_defense"},{"k":"R:hum:functionalism","d":"hum","t":"R","n":"functionalism"},{"k":"R:hum:grice_implicature","d":"hum","t":"R","n":"grice_implicature"},{"k":"R:hum:historical_critical_method","d":"hum","t":"R","n":"historical_critical_method"},{"k":"R:hum:holmes_prediction","d":"hum","t":"R","n":"holmes_prediction"},{"k":"R:hum:jtb_refuted","d":"hum","t":"R","n":"jtb_refuted"},{"k":"R:hum:legal_realism","d":"hum","t":"R","n":"legal_realism"},{"k":"R:hum:linear_b","d":"hum","t":"R","n":"linear_b"},{"k":"R:hum:modal_systems","d":"hum","t":"R","n":"modal_systems"},{"k":"R:hum:multiple_realizability","d":"hum","t":"R","n":"multiple_realizability"},{"k":"R:hum:original_position","d":"hum","t":"R","n":"original_position"},{"k":"R:hum:out_of_africa","d":"hum","t":"R","n":"out_of_africa"},{"k":"R:hum:positive_negative_liberty","d":"hum","t":"R","n":"positive_negative_liberty"},{"k":"R:hum:possible_worlds","d":"hum","t":"R","n":"possible_worlds"},{"k":"R:hum:radiocarbon","d":"hum","t":"R","n":"radiocarbon"},{"k":"R:hum:rigid_designation","d":"hum","t":"R","n":"rigid_designation"},{"k":"R:hum:sense_reference","d":"hum","t":"R","n":"sense_reference"},{"k":"R:hum:social_contract","d":"hum","t":"R","n":"social_contract"},{"k":"R:hum:stemmatics","d":"hum","t":"R","n":"stemmatics"},{"k":"H:abc_hub","d":"hub","t":"H","n":"abc_hub"},{"k":"H:eh_hub","d":"hub","t":"H","n":"eh_hub"},{"k":"H:grh","d":"hub","t":"H","n":"grh"},{"k":"H:langlands_hub","d":"hub","t":"H","n":"langlands_hub"},{"k":"H:pnp_hub","d":"hub","t":"H","n":"pnp_hub"},{"k":"X:ext_asymptotic_fermat","d":"hub","t":"X","n":"ext_asymptotic_fermat"},{"k":"X:ext_bilingual_key","d":"hub","t":"X","n":"ext_bilingual_key"},{"k":"X:ext_continuous_pathway","d":"hub","t":"X","n":"ext_continuous_pathway"},{"k":"X:ext_dark_matter_particle","d":"hub","t":"X","n":"ext_dark_matter_particle"},{"k":"X:ext_effective_primality","d":"hub","t":"X","n":"ext_effective_primality"},{"k":"X:ext_fermat_catalan","d":"hub","t":"X","n":"ext_fermat_catalan"},{"k":"X:ext_least_qnr","d":"hub","t":"X","n":"ext_least_qnr"},{"k":"X:ext_new_cp_source","d":"hub","t":"X","n":"ext_new_cp_source"},{"k":"X:ext_non_wieferich","d":"hub","t":"X","n":"ext_non_wieferich"},{"k":"X:ext_physics_beyond_sm","d":"hub","t":"X","n":"ext_physics_beyond_sm"},{"k":"X:ext_sharp_pnt_error","d":"hub","t":"X","n":"ext_sharp_pnt_error"},{"k":"X:ext_szpiro","d":"hub","t":"X","n":"ext_szpiro"},{"k":"X:ext_theory_qgravity","d":"hub","t":"X","n":"ext_theory_qgravity"},{"k":"X:regime_twin_gaps","d":"hub","t":"X","n":"regime_twin_gaps"}],"edges":[[175,11,"suff"],[175,1,"suff"],[175,182,"suff"],[175,184,"suff"],[173,178,"suff"],[173,189,"equiv"],[173,183,"suff"],[173,186,"suff"],[173,32,"suff"],[173,63,"suff"],[173,2,"partial"],[174,14,"partial"],[174,10,"partial"],[176,51,"suff"],[176,35,"suff"],[176,12,"partial"],[176,0,"suff"],[11,188,"suff"],[51,35,"suff"],[17,21,"suff"],[17,41,"suff"],[65,67,"suff"],[179,143,"suff"],[179,140,"suff"],[187,77,"partial"],[187,81,"partial"],[187,74,"partial"],[187,76,"partial"],[187,79,"partial"],[185,74,"suff"],[181,76,"suff"],[180,73,"suff"],[190,80,"suff"],[190,75,"partial"],[40,191,"suff"],[51,3,"supports"],[51,12,"supports"],[72,11,"supports"],[26,7,"supports"],[29,177,"supports"],[65,15,"supports"],[18,15,"supports"],[41,6,"supports"],[107,80,"supports"],[127,80,"supports"],[93,75,"supports"],[132,77,"supports"],[132,74,"supports"],[98,76,"supports"],[101,76,"supports"],[106,73,"supports"],[129,73,"supports"],[22,78,"supports"],[161,143,"supports"],[159,138,"supports"],[154,147,"supports"],[39,28,"proves"],[24,27,"proves"],[54,40,"proves"],[71,40,"proves"],[57,51,"proves"],[45,62,"proves"],[43,72,"proves"],[70,26,"proves"],[33,26,"proves"],[69,55,"proves"],[65,18,"proves"],[67,65,"proves"],[44,53,"proves"],[29,52,"proves"],[34,31,"proves"],[28,47,"proves"],[50,47,"proves"],[64,60,"proves"],[37,16,"proves"],[68,30,"proves"],[68,36,"proves"],[56,48,"proves"],[25,58,"proves"],[19,20,"proves"],[65,61,"proves"],[49,23,"proves"],[38,49,"proves"],[67,66,"proves"],[59,42,"proves"],[29,46,"proves"],[131,122,"supports"],[107,131,"supports"],[107,122,"supports"],[127,122,"supports"],[127,96,"supports"],[127,88,"supports"],[127,90,"supports"],[119,131,"supports"],[119,115,"supports"],[132,127,"supports"],[116,92,"supports"],[116,98,"supports"],[107,92,"supports"],[86,123,"supports"],[86,96,"supports"],[86,118,"supports"],[103,108,"supports"],[106,99,"supports"],[106,121,"supports"],[120,121,"supports"],[103,120,"supports"],[106,104,"supports"],[110,135,"supports"],[110,83,"supports"],[100,111,"supports"],[128,82,"supports"],[85,136,"supports"],[130,105,"supports"],[127,91,"supports"],[124,127,"supports"],[125,127,"supports"],[94,127,"supports"],[89,92,"supports"],[101,116,"supports"],[97,134,"supports"],[95,103,"supports"],[113,120,"supports"],[117,133,"supports"],[114,110,"supports"],[112,110,"supports"],[84,110,"supports"],[109,126,"supports"],[87,102,"supports"],[172,152,"supports"],[168,150,"supports"],[168,165,"supports"],[157,151,"supports"],[157,150,"supports"],[167,169,"supports"],[170,156,"supports"],[163,155,"supports"],[153,166,"supports"],[162,167,"supports"],[171,164,"supports"],[160,158,"supports"],[13,14,"proves"],[13,9,"proves"],[13,4,"proves"],[8,177,"proves"],[5,177,"proves"],[10,14,"proves"],[13,10,"proves"],[141,145,"proves"],[141,146,"proves"],[141,148,"proves"],[141,137,"proves"],[142,139,"proves"],[144,149,"proves"]],"bridges":[[22,78,"supports"]]}