{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T17:56:01Z","timestamp":1775670961565,"version":"3.50.1"},"reference-count":9,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[1989,11,1]],"date-time":"1989-11-01T00:00:00Z","timestamp":625881600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":8659,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Applied Mathematics"],"published-print":{"date-parts":[[1989,11]]},"DOI":"10.1016\/0166-218x(89)90005-x","type":"journal-article","created":{"date-parts":[[2002,9,17]],"date-time":"2002-09-17T12:47:25Z","timestamp":1032266845000},"page":"273-278","source":"Crossref","is-referenced-by-count":138,"title":["Knots in random walks"],"prefix":"10.1016","volume":"25","author":[{"given":"Nicholas","family":"Pippenger","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0166-218X(89)90005-X_BIB1","doi-asserted-by":"crossref","first-page":"665","DOI":"10.1051\/jphys:01979004007066500","article-title":"Topological constraints on polymer rings and critical indices","volume":"40","author":"des Cloizeaux","year":"1979","journal-title":"J. Phys."},{"key":"10.1016\/0166-218X(89)90005-X_BIB2","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1017\/S030500410003557X","article-title":"The number of polygons on a lattice","volume":"57","author":"Hammersley","year":"1961","journal-title":"Proc. Cambridge Philos. Soc."},{"key":"10.1016\/0166-218X(89)90005-X_BIB3","doi-asserted-by":"crossref","first-page":"960","DOI":"10.1063\/1.1704022","article-title":"On the number of self-avoiding walks","volume":"4","author":"Kesten","year":"1963","journal-title":"J. Math. Phys."},{"key":"10.1016\/0166-218X(89)90005-X_BIB4","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1016\/0375-9601(82)90636-3","article-title":"Probability of knots in a polymer ring","volume":"90","author":"Michels","year":"1982","journal-title":"Phys. Lett. A"},{"key":"10.1016\/0166-218X(89)90005-X_BIB5","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1098\/rspa.1986.0012","article-title":"On the topology of a polymer ring","volume":"403","author":"Michels","year":"1986","journal-title":"Proc. Roy. Soc. London Ser. A"},{"key":"10.1016\/0166-218X(89)90005-X_BIB6","series-title":"Problems and Theorems in Analysis","author":"P\u00f3lya","year":"1972"},{"key":"10.1016\/0166-218X(89)90005-X_BIB7","article-title":"Die eindeutige Zerlegbarkeit eines Knotens in Primknoten","volume":"3","author":"Schubert","year":"1949","journal-title":"Sitzungsber. Akad. Wiss. Heidelberg"},{"key":"10.1016\/0166-218X(89)90005-X_BIB8","doi-asserted-by":"crossref","first-page":"571","DOI":"10.1007\/BF01448044","article-title":"\u00dcber das Geschlecht von Knoten","volume":"110","author":"Seifert","year":"1935","journal-title":"Math. Ann."},{"key":"10.1016\/0166-218X(89)90005-X_BIB9","first-page":"1059","article-title":"The knot problem in statistical mechanics of polymer chains","volume":"39","author":"Vologodski\u01d0","year":"1974","journal-title":"Soviet Phys. JETP"}],"container-title":["Discrete Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0166218X8990005X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0166218X8990005X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,9]],"date-time":"2019-04-09T12:50:23Z","timestamp":1554814223000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0166218X8990005X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1989,11]]},"references-count":9,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1989,11]]}},"alternative-id":["0166218X8990005X"],"URL":"https:\/\/doi.org\/10.1016\/0166-218x(89)90005-x","relation":{},"ISSN":["0166-218X"],"issn-type":[{"value":"0166-218X","type":"print"}],"subject":[],"published":{"date-parts":[[1989,11]]}}}