{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,2]],"date-time":"2025-11-02T10:35:28Z","timestamp":1762079728295,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>The pentagram map is a completely integrable system defined on the moduli space of polygons.  The integrals for the system are certain weighted homogeneous polynomials, which come in  pairs: $E_1,O_2,E_2,O_2,\\dots$  In this paper we prove that $E_k=O_k$ for all $k$, when these integrals are restricted to the space of polygons which are inscribed in a conic section.  Our proof is essentially a combinatorial analysis of the integrals.<\/jats:p>","DOI":"10.37236\/658","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T03:42:51Z","timestamp":1578714171000},"source":"Crossref","is-referenced-by-count":6,"title":["The Pentagram Integrals on Inscribed Polygons"],"prefix":"10.37236","volume":"18","author":[{"given":"Richard Evan","family":"Schwartz","sequence":"first","affiliation":[]},{"given":"Serge","family":"Tabachnikov","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2011,9,2]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p171\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p171\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:02:41Z","timestamp":1579302161000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v18i1p171"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,9,2]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2011,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/658","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2011,9,2]]},"article-number":"P171"}}