{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T10:44:34Z","timestamp":1775645074596,"version":"3.50.1"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>The number of $n  \\times n$ matrices whose entries are either $-1$, $0$, or $1$, whose row- and column- sums are all $1$, and such that in every row and every column the non-zero entries alternate in sign, is proved to be $$[1!4! \\dots (3n-2)!] \\over [n!(n+1)! \\dots (2n-1)!],$$ as conjectured by Mills, Robbins, and Rumsey.<\/jats:p>","DOI":"10.37236\/1271","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T01:51:54Z","timestamp":1578707514000},"source":"Crossref","is-referenced-by-count":89,"title":["Proof of the Alternating Sign Matrix Conjecture"],"prefix":"10.37236","volume":"3","author":[{"given":"Doron","family":"Zeilberger","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[1995,7,25]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v3i2r13\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v3i2r13\/comment","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v3i2r13\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T09:31:25Z","timestamp":1579339885000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v3i2r13"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,7,25]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[1996,1,24]]}},"URL":"https:\/\/doi.org\/10.37236\/1271","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,7,25]]},"article-number":"R13"}}