{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,18]],"date-time":"2025-11-18T02:45:43Z","timestamp":1763433943595,"version":"3.45.0"},"reference-count":6,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2025,8,29]],"date-time":"2025-08-29T00:00:00Z","timestamp":1756425600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,8,29]],"date-time":"2025-08-29T00:00:00Z","timestamp":1756425600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Order"],"published-print":{"date-parts":[[2025,12]]},"DOI":"10.1007\/s11083-025-09709-w","type":"journal-article","created":{"date-parts":[[2025,8,29]],"date-time":"2025-08-29T09:42:38Z","timestamp":1756460558000},"page":"805-810","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Simplex Faces of Order and Chain Polytopes"],"prefix":"10.1007","volume":"42","author":[{"given":"Aki","family":"Mori","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,8,29]]},"reference":[{"doi-asserted-by":"crossref","unstructured":"Gr\u00fcnbaum, B.: Convex polytopes. 2nd edition, Graduate Texts in Mathematics 221, Springer-Verlag NewYork (2003)","key":"9709_CR1","DOI":"10.1007\/978-1-4613-0019-9"},{"doi-asserted-by":"crossref","unstructured":"Hibi, T., Li, N.: Cutting convex polytopes by hyperplanes. Mathematics 7, 381 (2019)","key":"9709_CR2","DOI":"10.3390\/math7050381"},{"key":"9709_CR3","doi-asserted-by":"publisher","first-page":"5","DOI":"10.7146\/math.scand.a-23291","volume":"118","author":"T Hibi","year":"2016","unstructured":"Hibi, T., Li, N.: Unimodular equivalence of order and chain polytopes. Math. Scand. 118, 5\u201312 (2016)","journal-title":"Math. Scand."},{"key":"9709_CR4","doi-asserted-by":"publisher","first-page":"991","DOI":"10.1016\/j.disc.2017.01.005","volume":"340","author":"T Hibi","year":"2017","unstructured":"Hibi, T., Li, N., Sahara, Y., Shikama, A.: The numbers of edges of the order polytope and the chain polytope of a finite partially ordered set. Discrete Math. 340, 991\u2013994 (2017)","journal-title":"Discrete Math."},{"doi-asserted-by":"crossref","unstructured":"Mori, A.: Faces of 2-dimensional simplex of order and chain polytopes. Mathematics 7, 851 (2019)","key":"9709_CR5","DOI":"10.3390\/math7090851"},{"key":"9709_CR6","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1007\/BF02187680","volume":"1","author":"RP Stanley","year":"1986","unstructured":"Stanley, R.P.: Two poset polytopes. Disc. Comput. Geom. 1, 9\u201323 (1986)","journal-title":"Disc. Comput. Geom."}],"container-title":["Order"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-025-09709-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11083-025-09709-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-025-09709-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,18]],"date-time":"2025-11-18T02:41:27Z","timestamp":1763433687000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11083-025-09709-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,8,29]]},"references-count":6,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2025,12]]}},"alternative-id":["9709"],"URL":"https:\/\/doi.org\/10.1007\/s11083-025-09709-w","relation":{},"ISSN":["0167-8094","1572-9273"],"issn-type":[{"type":"print","value":"0167-8094"},{"type":"electronic","value":"1572-9273"}],"subject":[],"published":{"date-parts":[[2025,8,29]]},"assertion":[{"value":"20 August 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 August 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 August 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing Interests"}}]}}