{"about":"Subject of each result family in OpenAI's own overview (overview.tex, \\cataloguesection), openai/math at adc7f12 (6 Oct 2026); unchanged at fd4aeeb. Apache-2.0, OpenAI. Built by parsing \\resultentry{NNN} under each \\cataloguesection.","commit":"adc7f12","subjects":["Number theory","Algebraic and complex geometry","Real and complex analysis","Convex and metric geometry","Theoretical computer science","Dynamical systems and ergodic theory","Combinatorics","Algebra","Probability and statistical mechanics","Mathematical logic","Group theory","Mathematical physics","Operator algebras","Topology","Functional analysis","Differential geometry","Partial differential equations"],"family":{"001":"Number theory","002":"Number theory","003":"Number theory","004":"Number theory","005":"Number theory","006":"Number theory","007":"Number theory","008":"Number theory","009":"Number theory","010":"Number theory","011":"Number theory","012":"Number theory","013":"Number theory","014":"Number theory","015":"Number theory","016":"Number theory","017":"Number theory","018":"Number theory","019":"Number theory","020":"Number theory","021":"Number theory","022":"Number theory","023":"Number theory","024":"Number theory","025":"Number theory","026":"Number theory","027":"Number theory","028":"Number theory","029":"Number theory","030":"Number theory","031":"Number theory","032":"Algebraic and complex geometry","033":"Algebraic and complex geometry","034":"Algebraic and complex geometry","035":"Algebraic and complex geometry","036":"Algebraic and complex geometry","037":"Algebraic and complex geometry","038":"Algebraic and complex geometry","039":"Algebraic and complex geometry","040":"Algebraic and complex geometry","041":"Algebraic and complex geometry","042":"Algebraic and complex geometry","043":"Algebraic and complex geometry","044":"Algebraic and complex geometry","046":"Algebraic and complex geometry","047":"Algebraic and complex geometry","048":"Algebraic and complex geometry","049":"Algebraic and complex geometry","050":"Algebraic and complex geometry","051":"Algebraic and complex geometry","052":"Algebraic and complex geometry","053":"Algebraic and complex geometry","054":"Algebraic and complex geometry","055":"Algebraic and complex geometry","056":"Algebraic and complex geometry","057":"Algebraic and complex geometry","058":"Algebraic and complex geometry","059":"Algebraic and complex geometry","060":"Algebraic and complex geometry","062":"Algebraic and complex geometry","063":"Algebraic and complex geometry","064":"Algebraic and complex geometry","065":"Algebraic and complex geometry","066":"Algebraic and complex geometry","067":"Algebraic and complex geometry","068":"Algebraic and complex geometry","069":"Algebraic and complex geometry","071":"Real and complex analysis","072":"Real and complex analysis","073":"Real and complex analysis","074":"Real and complex analysis","075":"Real and complex analysis","076":"Real and complex analysis","077":"Real and complex analysis","078":"Real and complex analysis","079":"Real and complex analysis","080":"Real and complex analysis","081":"Real and complex analysis","082":"Real and complex analysis","083":"Real and complex analysis","084":"Real and complex analysis","085":"Real and complex analysis","086":"Real and complex analysis","087":"Convex and metric geometry","088":"Convex and metric geometry","089":"Convex and metric geometry","090":"Convex and metric geometry","091":"Convex and metric geometry","092":"Convex and metric geometry","093":"Convex and metric geometry","094":"Convex and metric geometry","095":"Convex and metric geometry","096":"Convex and metric geometry","097":"Convex and metric geometry","098":"Convex and metric geometry","099":"Convex and metric geometry","100":"Convex and metric geometry","101":"Convex and metric geometry","102":"Theoretical computer science","103":"Theoretical computer science","104":"Theoretical computer science","105":"Theoretical computer science","106":"Theoretical computer science","107":"Theoretical computer science","108":"Theoretical computer science","109":"Theoretical computer science","110":"Theoretical computer science","111":"Theoretical computer science","112":"Theoretical computer science","113":"Theoretical computer science","114":"Theoretical computer science","115":"Theoretical computer science","116":"Theoretical computer science","117":"Theoretical computer science","118":"Theoretical computer science","119":"Theoretical computer science","120":"Theoretical computer science","121":"Theoretical computer science","122":"Theoretical computer science","124":"Theoretical computer science","125":"Theoretical computer science","126":"Theoretical computer science","127":"Theoretical computer science","128":"Theoretical computer science","129":"Theoretical computer science","130":"Theoretical computer science","131":"Theoretical computer science","132":"Theoretical computer science","133":"Theoretical computer science","134":"Theoretical computer science","135":"Theoretical computer science","136":"Theoretical computer science","137":"Theoretical computer science","138":"Theoretical computer science","139":"Theoretical computer science","140":"Theoretical computer science","141":"Theoretical computer science","142":"Theoretical computer science","143":"Dynamical systems and ergodic theory","144":"Dynamical systems and ergodic theory","145":"Dynamical systems and ergodic theory","146":"Dynamical systems and ergodic theory","147":"Dynamical systems and ergodic theory","148":"Dynamical systems and ergodic theory","149":"Dynamical systems and ergodic theory","150":"Dynamical systems and ergodic theory","151":"Dynamical systems and ergodic theory","152":"Dynamical systems and ergodic theory","153":"Dynamical systems and ergodic theory","154":"Dynamical systems and ergodic theory","155":"Combinatorics","156":"Combinatorics","157":"Combinatorics","158":"Combinatorics","159":"Combinatorics","160":"Combinatorics","161":"Combinatorics","162":"Combinatorics","164":"Combinatorics","165":"Combinatorics","166":"Combinatorics","167":"Combinatorics","168":"Combinatorics","169":"Combinatorics","170":"Combinatorics","171":"Combinatorics","172":"Combinatorics","173":"Combinatorics","174":"Combinatorics","175":"Combinatorics","176":"Combinatorics","177":"Combinatorics","178":"Combinatorics","179":"Combinatorics","180":"Combinatorics","181":"Combinatorics","182":"Combinatorics","183":"Combinatorics","184":"Combinatorics","185":"Combinatorics","186":"Combinatorics","187":"Combinatorics","188":"Combinatorics","189":"Combinatorics","190":"Combinatorics","191":"Combinatorics","192":"Combinatorics","193":"Algebra","194":"Algebra","195":"Algebra","196":"Algebra","197":"Algebra","198":"Algebra","199":"Algebra","200":"Algebra","201":"Algebra","202":"Algebra","203":"Algebra","204":"Algebra","205":"Algebra","206":"Algebra","207":"Algebra","208":"Algebra","209":"Algebra","210":"Algebra","211":"Probability and statistical mechanics","212":"Probability and statistical mechanics","213":"Probability and statistical mechanics","214":"Probability and statistical mechanics","215":"Probability and statistical mechanics","216":"Probability and statistical mechanics","217":"Probability and statistical mechanics","218":"Probability and statistical mechanics","219":"Probability and statistical mechanics","220":"Probability and statistical mechanics","221":"Probability and statistical mechanics","222":"Probability and statistical mechanics","223":"Probability and statistical mechanics","224":"Probability and statistical mechanics","225":"Probability and statistical mechanics","226":"Probability and statistical mechanics","227":"Probability and statistical mechanics","228":"Probability and statistical mechanics","229":"Probability and statistical mechanics","230":"Probability and statistical mechanics","231":"Probability and statistical mechanics","232":"Probability and statistical mechanics","233":"Probability and statistical mechanics","234":"Probability and statistical mechanics","235":"Probability and statistical mechanics","236":"Probability and statistical mechanics","237":"Probability and statistical mechanics","238":"Probability and statistical mechanics","239":"Probability and statistical mechanics","240":"Mathematical logic","241":"Mathematical logic","242":"Mathematical logic","243":"Mathematical logic","244":"Mathematical logic","245":"Mathematical logic","246":"Group theory","247":"Group theory","248":"Group theory","249":"Group theory","250":"Group theory","251":"Group theory","252":"Group theory","253":"Group theory","254":"Group theory","255":"Group theory","256":"Group theory","257":"Group theory","258":"Group theory","259":"Group theory","260":"Mathematical physics","261":"Mathematical physics","262":"Mathematical physics","263":"Mathematical physics","264":"Mathematical physics","265":"Mathematical physics","266":"Mathematical physics","267":"Mathematical physics","268":"Mathematical physics","269":"Mathematical physics","270":"Mathematical physics","271":"Mathematical physics","272":"Mathematical physics","273":"Mathematical physics","274":"Mathematical physics","275":"Mathematical physics","276":"Mathematical physics","277":"Mathematical physics","278":"Mathematical physics","279":"Mathematical physics","280":"Mathematical physics","281":"Mathematical physics","282":"Mathematical physics","283":"Mathematical physics","284":"Mathematical physics","285":"Operator algebras","286":"Operator algebras","287":"Operator algebras","288":"Operator algebras","289":"Operator algebras","290":"Operator algebras","291":"Operator algebras","292":"Operator algebras","293":"Operator algebras","294":"Operator algebras","295":"Operator algebras","296":"Operator algebras","297":"Operator algebras","298":"Operator algebras","299":"Operator algebras","300":"Operator algebras","301":"Operator algebras","302":"Operator algebras","303":"Operator algebras","304":"Topology","305":"Topology","306":"Topology","307":"Topology","308":"Topology","309":"Topology","310":"Topology","311":"Topology","312":"Topology","313":"Topology","314":"Topology","315":"Topology","316":"Topology","317":"Topology","318":"Topology","319":"Topology","320":"Topology","321":"Topology","322":"Functional analysis","323":"Functional analysis","324":"Functional analysis","325":"Functional analysis","326":"Functional analysis","327":"Functional analysis","328":"Functional analysis","329":"Functional analysis","330":"Functional analysis","331":"Functional analysis","332":"Functional analysis","333":"Differential geometry","334":"Differential geometry","335":"Differential geometry","336":"Differential geometry","337":"Differential geometry","338":"Differential geometry","339":"Differential geometry","340":"Differential geometry","341":"Differential geometry","342":"Differential geometry","343":"Differential geometry","344":"Differential geometry","345":"Differential geometry","346":"Differential geometry","347":"Differential geometry","348":"Differential geometry","349":"Differential geometry","350":"Differential geometry","351":"Differential geometry","352":"Differential geometry","353":"Differential geometry","354":"Differential geometry","355":"Differential geometry","356":"Differential geometry","357":"Differential geometry","358":"Differential geometry","359":"Differential geometry","360":"Differential geometry","361":"Differential geometry","362":"Partial differential equations","363":"Partial differential equations","364":"Partial differential equations","365":"Partial differential equations","366":"Partial differential equations","367":"Partial differential equations","368":"Partial differential equations","369":"Partial differential equations","370":"Partial differential equations","371":"Partial differential equations","372":"Partial differential equations","373":"Partial differential equations","374":"Partial differential equations","375":"Partial differential equations","376":"Partial differential equations","377":"Partial differential equations"}}