{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,22]],"date-time":"2025-11-22T16:44:54Z","timestamp":1763829894917},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"6","license":[{"start":{"date-parts":[[2002,11,21]],"date-time":"2002-11-21T00:00:00Z","timestamp":1037836800000},"content-version":"unspecified","delay-in-days":20,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Combinator. Probab. Comp."],"published-print":{"date-parts":[[2002,11]]},"abstract":"<jats:p>The hexagonal lattice site percolation critical probability is shown to be at most 0.79472, \nimproving the best previous mathematically rigorous upper bound. The bound is derived \nby using the substitution method to compare the site model with the bond model, the latter \nof which is exactly solved. Shortcuts which eliminate a substantial amount of computation \nmake the derivation of the bound possible.<\/jats:p>","DOI":"10.1017\/s0963548302005345","type":"journal-article","created":{"date-parts":[[2002,11,26]],"date-time":"2002-11-26T14:34:58Z","timestamp":1038321298000},"page":"629-643","source":"Crossref","is-referenced-by-count":9,"title":["An Improved Upper Bound \nfor the Hexagonal Lattice Site \nPercolation Critical Probability"],"prefix":"10.1017","volume":"11","author":[{"given":"JOHN C.","family":"WIERMAN","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2002,11,21]]},"container-title":["Combinatorics, Probability and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0963548302005345","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,7]],"date-time":"2019-05-07T00:24:14Z","timestamp":1557188654000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0963548302005345\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,11]]},"references-count":0,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2002,11]]}},"alternative-id":["S0963548302005345"],"URL":"https:\/\/doi.org\/10.1017\/s0963548302005345","relation":{},"ISSN":["0963-5483","1469-2163"],"issn-type":[{"value":"0963-5483","type":"print"},{"value":"1469-2163","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,11]]}}}