{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T16:14:27Z","timestamp":1759335267584,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We prove Borchardt's identity $$\\hbox{det}\\left({1\\over x_i-y_j}\\right) \\hbox{per}\\left({1\\over x_i-y_j}\\right)= \\hbox{det}\\left({1\\over(x_i-y_j)^2}\\right)$$  by means of sign-reversing involutions.<\/jats:p>","DOI":"10.37236\/1801","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T00:20:55Z","timestamp":1578702055000},"source":"Crossref","is-referenced-by-count":8,"title":["A Bijective Proof of Borchardt's Identity"],"prefix":"10.37236","volume":"11","author":[{"given":"Dan","family":"Singer","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2004,7,26]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v11i1r48\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v11i1r48\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T00:01:53Z","timestamp":1579305713000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v11i1r48"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,7,26]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2004,1,2]]}},"URL":"https:\/\/doi.org\/10.37236\/1801","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2004,7,26]]},"article-number":"R48"}}