{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,10]],"date-time":"2025-05-10T04:11:13Z","timestamp":1746850273666,"version":"3.40.5"},"reference-count":8,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2025,3,15]],"date-time":"2025-03-15T00:00:00Z","timestamp":1741996800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,3,15]],"date-time":"2025-03-15T00:00:00Z","timestamp":1741996800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100004826","name":"Natural Science Foundation of Beijing Municipality","doi-asserted-by":"publisher","award":["1234037"],"award-info":[{"award-number":["1234037"]}],"id":[{"id":"10.13039\/501100004826","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2025,6]]},"DOI":"10.1007\/s00454-025-00730-9","type":"journal-article","created":{"date-parts":[[2025,3,15]],"date-time":"2025-03-15T17:50:57Z","timestamp":1742061057000},"page":"919-929","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On a Conjecture of W. Kuperberg"],"prefix":"10.1007","volume":"73","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-1190-2590","authenticated-orcid":false,"given":"Shiyun","family":"Wen","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,3,15]]},"reference":[{"key":"730_CR1","volume-title":"Research Problems in Discrete Geometry","author":"P Brass","year":"2005","unstructured":"Brass, P., Moser, W., Pach, J.: Research Problems in Discrete Geometry. Springer, New York (2005)"},{"key":"730_CR2","doi-asserted-by":"crossref","unstructured":"Fejes T\u00f3th, G., Kuperberg, W.: Packing and covering with convex sets. In: Handbook of Convex Geometry, Vol. A, B, pp.\u00a0799\u2013860. North-Holland, Amsterdam (1993)","DOI":"10.1016\/B978-0-444-89597-4.50007-X"},{"issue":"2","key":"730_CR3","doi-asserted-by":"publisher","first-page":"251","DOI":"10.1007\/PL00009385","volume":"20","author":"D Ismailescu","year":"1998","unstructured":"Ismailescu, D.: Covering the plane with copies of a convex disk. Discrete Comput. Geom. 20(2), 251\u2013263 (1998)","journal-title":"Discrete Comput. Geom."},{"issue":"4","key":"730_CR4","doi-asserted-by":"publisher","first-page":"389","DOI":"10.1007\/BF02187800","volume":"5","author":"G Kuperberg","year":"1990","unstructured":"Kuperberg, G., Kuperberg, W.: Double-lattice packings of convex bodies in the plane. Discrete Comput. Geom. 5(4), 389\u2013397 (1990)","journal-title":"Discrete Comput. Geom."},{"issue":"4","key":"730_CR5","doi-asserted-by":"publisher","first-page":"1028","DOI":"10.1007\/s00454-019-00121-x","volume":"65","author":"R Prosanov","year":"2021","unstructured":"Prosanov, R.: On a relation between packing and covering densities of convex bodies. Discrete Comput. Geom. 65(4), 1028\u20131037 (2021)","journal-title":"Discrete Comput. Geom."},{"key":"730_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1112\/S0025579300001030","volume":"4","author":"CA Rogers","year":"1957","unstructured":"Rogers, C.A.: A note on coverings. Mathematika 4, 1\u20136 (1957)","journal-title":"Mathematika"},{"key":"730_CR7","unstructured":"Rogers, C.A.: Packing and Covering, Volume No. 54 of Cambridge Tracts in Mathematics and Mathematical Physics. Cambridge University Press, New York (1964)"},{"key":"730_CR8","doi-asserted-by":"publisher","first-page":"154","DOI":"10.1007\/BF01307024","volume":"65","author":"WM Schmidt","year":"1961","unstructured":"Schmidt, W.M.: Zur Lagerung kongruenter K\u00f6rper im Raum. Monatsh. Math. 65, 154\u2013158 (1961)","journal-title":"Monatsh. Math."}],"container-title":["Discrete &amp; Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-025-00730-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00454-025-00730-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-025-00730-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,9]],"date-time":"2025-05-09T18:49:27Z","timestamp":1746816567000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00454-025-00730-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,3,15]]},"references-count":8,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2025,6]]}},"alternative-id":["730"],"URL":"https:\/\/doi.org\/10.1007\/s00454-025-00730-9","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"type":"print","value":"0179-5376"},{"type":"electronic","value":"1432-0444"}],"subject":[],"published":{"date-parts":[[2025,3,15]]},"assertion":[{"value":"8 April 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 February 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 March 2025","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 March 2025","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}