{"entities":{"Q1188":{"pageid":1557,"ns":120,"title":"Item:Q1188","lastrevid":4813,"modified":"2020-05-20T14:14:57Z","type":"item","id":"Q1188","labels":{},"descriptions":{},"aliases":{},"claims":{"P10":[{"mainsnak":{"snaktype":"value","property":"P10","hash":"c856aa355930b95a6e827b1a26f0bc33a307c5ad","datavalue":{"value":"combinatorics","type":"string"},"datatype":"external-id"},"type":"statement","id":"Q1188$03B89374-B156-4096-A9A3-695D963C244A","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P10","hash":"cec3416ee9681b65829429a6997ba6f936bcc335","datavalue":{"value":"elementary-number-theory","type":"string"},"datatype":"external-id"},"type":"statement","id":"Q1188$E44B4716-1082-406F-A7E4-440E02AB5332","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P10","hash":"7b8ed4962d0fe226aba5baf944f06bb1fde4a5d8","datavalue":{"value":"discrete-mathematics","type":"string"},"datatype":"external-id"},"type":"statement","id":"Q1188$5F115A09-CCD8-484F-9F3C-0EF9BC238E1D","rank":"normal"}],"P12":[{"mainsnak":{"snaktype":"value","property":"P12","hash":"e2480372ed6f8fa05c239ffd2afbe8a4a631c9ab","datavalue":{"value":"B.86","type":"string"},"datatype":"external-id"},"type":"statement","id":"Q1188$3F9C5BFF-9723-4BA2-8D7E-FA3602CD8DB8","rank":"normal"}],"P8":[{"mainsnak":{"snaktype":"value","property":"P8","hash":"051f365ac3213b292fdf02cbb9a80e5a2ea3994a","datavalue":{"value":"q_849","type":"string"},"datatype":"external-id"},"type":"statement","id":"Q1188$8F05DD41-B780-4915-A791-F149CFD1A67F","rank":"normal"}],"P9":[{"mainsnak":{"snaktype":"value","property":"P9","hash":"ac2bb3a12e516e8bc4bd49cca366975a34df1b96","datavalue":{"value":{"entity-type":"item","numeric-id":887,"id":"Q887"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","id":"Q1188$BFBCB4EB-C5FA-4A62-A74C-BFA691CA5435","rank":"normal"}],"P5":[{"mainsnak":{"snaktype":"value","property":"P5","hash":"a6cac57cfe522e3c5f364994ae46fe1396d80511","datavalue":{"value":"3080329","type":"string"},"datatype":"external-id"},"type":"statement","id":"Q1188$E89BF906-A9C2-41B2-B5A9-199D7DF076A2","rank":"normal"}],"P14":[{"mainsnak":{"snaktype":"value","property":"P14","hash":"0972bd4437d47a09b9a04759b7f41f7b749003fc","datavalue":{"value":"3080331","type":"string"},"datatype":"external-id"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"13ce7c4096dcd85ed1f4d19973bf92d76c6884c1","datavalue":{"value":"\\sum_{k=0}^n k\\binom nk=n2^{n-1}=2^{n-1+\\log_2n}","type":"string"},"datatype":"math"}]},"qualifiers-order":["P1"],"id":"Q1188$c093ea74-49c8-5731-8bf8-0e8051dc43f7","rank":"normal"}]},"sitelinks":{}}}}