{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,20]],"date-time":"2025-10-20T10:12:07Z","timestamp":1760955127600},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2009,5,7]],"date-time":"2009-05-07T00:00:00Z","timestamp":1241654400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2010,3]]},"DOI":"10.1007\/s00454-009-9179-x","type":"journal-article","created":{"date-parts":[[2009,5,6]],"date-time":"2009-05-06T15:15:11Z","timestamp":1241622911000},"page":"393-401","source":"Crossref","is-referenced-by-count":14,"title":["On a Question of Erd\u0151s and Ulam"],"prefix":"10.1007","volume":"43","author":[{"given":"Jozsef","family":"Solymosi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Frank","family":"de Zeeuw","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2009,5,7]]},"reference":[{"key":"9179_CR1","doi-asserted-by":"crossref","first-page":"598","DOI":"10.1090\/S0002-9904-1945-08407-9","volume":"51","author":"N.H. Anning","year":"1945","unstructured":"Anning, N.H., Erd\u0151s, P.: Integral distances. Bull. Am. Math. Soc. 51, 598\u2013600 (1945)","journal-title":"Bull. Am. Math. Soc."},{"key":"9179_CR2","volume-title":"Research Problems in Discrete Geometry","author":"P. Brass","year":"2005","unstructured":"Brass, P., Moser, W., Pach, J.: Research Problems in Discrete Geometry, 1st edn. Springer, Berlin (2005). XII, 499 p.","edition":"1"},{"key":"9179_CR3","doi-asserted-by":"crossref","first-page":"2093","DOI":"10.1090\/S0025-5718-03-01606-5","volume":"73","author":"G. Campbell","year":"2004","unstructured":"Campbell, G.: Points on y=x 2 at rational distance. Math. Comput. 73, 2093\u20132108 (2004)","journal-title":"Math. Comput."},{"issue":"2","key":"9179_CR4","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1216\/rmjm\/1181069460","volume":"36","author":"A. Choudhry","year":"2006","unstructured":"Choudhry, A.: Points at rational distances on a parabola. Rocky Mt. J. Math. 36(2), 413\u2013424 (2006)","journal-title":"Rocky Mt. J. Math."},{"key":"9179_CR5","doi-asserted-by":"crossref","first-page":"996","DOI":"10.1090\/S0002-9904-1945-08490-0","volume":"51","author":"P. Erd\u0151s","year":"1945","unstructured":"Erd\u0151s, P.: Integral distances. Bull. Am. Math. Soc. 51, 996 (1945)","journal-title":"Bull. Am. Math. Soc."},{"issue":"38","key":"9179_CR6","first-page":"205","volume":"5","author":"P. Erd\u0151s","year":"1962","unstructured":"Erd\u0151s, P.: Verchu niakoy geometritchesky zadatchy. Fiz.-Mat. Spis. B\u016dlgar. Akad. Nauk 5(38), 205\u2013212 (1962). (On some geometric problems, in Bulgarian)","journal-title":"Fiz.-Mat. Spis. B\u016dlgar. Akad. Nauk"},{"key":"9179_CR7","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1007\/BF02414146","volume":"CIII","author":"P. Erd\u0151s","year":"1975","unstructured":"Erd\u0151s, P.: On some problems of elementary and combinatorial geometry. Ann. Mat. Pura Appl. (IV) CIII, 99\u2013108 (1975)","journal-title":"Ann. Mat. Pura Appl. (IV)"},{"key":"9179_CR8","first-page":"49","volume":"61","author":"P. Erd\u0151s","year":"1980","unstructured":"Erd\u0151s, P.: N\u00e9h\u00e1ny elemi geometriai probl\u00e9m\u00e1r\u00f3l. K\u00f6z\u00e9pisk Mat. Lapok 61, 49\u201354 (1980). (On some problems in elementary geometry, in Hungarian)","journal-title":"K\u00f6z\u00e9pisk Mat. Lapok"},{"key":"9179_CR9","first-page":"35","volume":"12","author":"P. Erd\u0151s","year":"1983","unstructured":"Erd\u0151s, P.: Combinatorial problems in geometry. Math. Chron. 12, 35\u201354 (1983)","journal-title":"Math. Chron."},{"issue":"4","key":"9179_CR10","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1002\/jgt.3190090402","volume":"9","author":"P. Erd\u0151s","year":"1985","unstructured":"Erd\u0151s, P.: Ulam, the man and the mathematician. J. Graph Theory 9(4), 445\u2013449 (1985) Also appears in Creation Math. 19 (1986), 13\u201316","journal-title":"J. Graph Theory"},{"key":"9179_CR11","first-page":"167","volume-title":"Colloquia Mathematica Societatis J\u00e1nos Bolyai","author":"P. Erd\u0151s","year":"1985","unstructured":"Erd\u0151s, P.: Some combinatorial and metric problems in geometry. In: Colloquia Mathematica Societatis J\u00e1nos Bolyai, vol. 48, pp. 167\u2013177. Intuitive Geometry, Si\u00f3fok (1985)"},{"key":"9179_CR12","first-page":"809","volume-title":"Handbook of Combinatorics","author":"P. Erd\u0151s","year":"1995","unstructured":"Erd\u0151s, P., Purdy, G.B.: Extremal problems in combinatorial geometry. In: Graham, R.L., Gr\u00f6tschel, M., Lov\u00e1sz, L. (eds.) Handbook of Combinatorics, pp. 809\u2013875. Elsevier, Amsterdam (1995)"},{"issue":"3","key":"9179_CR13","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1007\/BF01388432","volume":"73","author":"G. Faltings","year":"1983","unstructured":"Faltings, G.: Endlichkeitss\u00e4tze f\u00fcr abelsche Variet\u00e4ten \u00fcber Zahlk\u00f6rpern. Invent. Math. 73(3), 349\u2013366 (1983). (Finiteness theorems for abelian varieties over number fields)","journal-title":"Invent. Math."},{"key":"9179_CR14","series-title":"Problem Books in Mathematics Subseries: Unsolved Problems in Intuitive Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-26677-0","volume-title":"Unsolved Problems in Number Theory","author":"R. Guy","year":"2004","unstructured":"Guy, R.: Unsolved Problems in Number Theory, 3rd edn. Problem Books in Mathematics Subseries: Unsolved Problems in Intuitive Mathematics, vol.\u00a01. Springer, Berlin (2004). XVIII, 438 p.","edition":"3"},{"issue":"4","key":"9179_CR15","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1007\/BF02189331","volume":"9","author":"H. Harborth","year":"1993","unstructured":"Harborth, H., Kemnitz, A., M\u00f6ller, M.: An upper bound for the minimum diameter of integral point sets. Discrete Comput. Geom. 9(4), 427\u2013432 (1993)","journal-title":"Discrete Comput. Geom."},{"key":"9179_CR16","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1215\/S0012-7094-48-01543-9","volume":"15","author":"G.B. Huff","year":"1948","unstructured":"Huff, G.B.: Diophantine problems in geometry and elliptic ternary forms. Duke Math. J. 15, 443\u2013453 (1948)","journal-title":"Duke Math. J."},{"key":"9179_CR17","volume-title":"Punktmengen mit ganzzahligen Abst\u00e4nden","author":"A. Kemnitz","year":"1988","unstructured":"Kemnitz, A.: Punktmengen mit ganzzahligen Abst\u00e4nden. Habilitationsschrift, TU Braunschweig (1988)"},{"issue":"4","key":"9179_CR18","doi-asserted-by":"crossref","first-page":"786","DOI":"10.1007\/s00454-007-9038-6","volume":"39","author":"T. Kreisel","year":"2008","unstructured":"Kreisel, T., Kurz, S.: There are integral heptagons, no three points on a line, no four on a circle. Discrete Comput. Geom. 39(4), 786\u2013790 (2008)","journal-title":"Discrete Comput. Geom."},{"key":"9179_CR19","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1090\/S0002-9939-1954-0060262-1","volume":"5","author":"W.D. Peeples Jr.","year":"1954","unstructured":"Peeples, W.D. Jr.: Elliptic curves and rational distance sets. Proc. Am. Math. Soc. 5, 29\u201333 (1954)","journal-title":"Proc. Am. Math. Soc."},{"key":"9179_CR20","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-1920-8","volume-title":"The Arithmetic of Elliptic Curves","author":"J. Silverman","year":"1986","unstructured":"Silverman, J.: The Arithmetic of Elliptic Curves. Springer, Berlin (1986)"},{"issue":"2","key":"9179_CR21","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1007\/s00454-003-0014-7","volume":"30","author":"J. Solymosi","year":"2003","unstructured":"Solymosi, J.: Note on integral distances. Discrete Comput. Geom. 30(2), 337\u2013342 (2003)","journal-title":"Discrete Comput. Geom."},{"key":"9179_CR22","series-title":"Interscience Tracts in Pure and Applied Mathematics","volume-title":"A Collection of Mathematical Problems","author":"S.M. Ulam","year":"1960","unstructured":"Ulam, S.M.: A Collection of Mathematical Problems. Interscience Tracts in Pure and Applied Mathematics, vol.\u00a08. Interscience, New York (1960). XIII, 150 p."}],"container-title":["Discrete &amp; Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-009-9179-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-009-9179-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-009-9179-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T23:47:37Z","timestamp":1559087257000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-009-9179-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,5,7]]},"references-count":22,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2010,3]]}},"alternative-id":["9179"],"URL":"https:\/\/doi.org\/10.1007\/s00454-009-9179-x","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,5,7]]}}}