{"id":"https://openalex.org/keywords/modular-arithmetic","display_name":"modular arithmetic","description":"A system of integer arithmetic in which values wrap around after reaching a fixed modulus, commonly used in number theory and cryptography.","display_name_alternatives":["modulo arithmetic","clock arithmetic","arithmetic modulo n"],"ids":{"openalex":"https://openalex.org/keywords/modular-arithmetic","wikidata":"https://www.wikidata.org/wiki/Q319400"},"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.3098,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.3098,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.1519,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"works_count":10903,"cited_by_count":66278,"works_api_url":"https://api.openalex.org/works?filter=keywords.id:keywords/modular-arithmetic","updated_date":"2026-10-22T04:07:25","created_date":"2022-04-12T19:38:12"}