{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,6]],"date-time":"2025-08-06T12:20:47Z","timestamp":1754482847055},"reference-count":18,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2003,7,1]],"date-time":"2003-07-01T00:00:00Z","timestamp":1057017600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,8,22]],"date-time":"2013-08-22T00:00:00Z","timestamp":1377129600000},"content-version":"vor","delay-in-days":3705,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Combinatorial Theory, Series A"],"published-print":{"date-parts":[[2003,7]]},"DOI":"10.1016\/s0097-3165(03)00075-x","type":"journal-article","created":{"date-parts":[[2003,6,30]],"date-time":"2003-06-30T09:57:28Z","timestamp":1056967048000},"page":"121-136","source":"Crossref","is-referenced-by-count":8,"title":["The Specker\u2013Blatter theorem does not hold for quaternary relations"],"prefix":"10.1016","volume":"103","author":[{"given":"Eldar","family":"Fischer","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0097-3165(03)00075-X_BIB1","series-title":"Combinatorial Species and Tree-like Structures","author":"Bergeron","year":"1998"},{"key":"10.1016\/S0097-3165(03)00075-X_BIB2","unstructured":"C. Blatter, E. Specker, Le nombre de structures finies d'une th\u00e9orie \u00e0 caract\u00e8re fini, Sci. Math. Fonds Nat. Rec. Sci. Bruxelles (1981) 41\u201344."},{"key":"10.1016\/S0097-3165(03)00075-X_BIB3","first-page":"313","article-title":"Modular periodicity of combinatorial sequences","volume":"4","author":"Blatter","year":"1983","journal-title":"Abstracts AMS"},{"key":"10.1016\/S0097-3165(03)00075-X_BIB4","series-title":"In Logic and Machines: Decision Problems and Complexity","first-page":"43","article-title":"Recurrence relations for the number of labeled structures on a finite set","volume":"Vol. 171","author":"Blatter","year":"1984"},{"key":"10.1016\/S0097-3165(03)00075-X_BIB5","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1016\/S0195-6698(80)80030-8","article-title":"A probabilistic proof of an asymptotic formula of the number of regular labelled graphs","volume":"1","author":"Bollobas","year":"1980","journal-title":"European J. Combin."},{"key":"10.1016\/S0097-3165(03)00075-X_BIB6","series-title":"Finite Model Theory","author":"Ebbinghaus","year":"1995"},{"key":"10.1016\/S0097-3165(03)00075-X_BIB7","doi-asserted-by":"crossref","first-page":"589","DOI":"10.2307\/2304500","article-title":"Binomial coefficients modulo a prime","volume":"10","author":"Fine","year":"1947","journal-title":"Amer. Math. Monthly"},{"key":"10.1016\/S0097-3165(03)00075-X_BIB8","unstructured":"E. Fischer, J.A. Makowsky, The Specker\u2013Blatter theorem revisited, in preparation."},{"key":"10.1016\/S0097-3165(03)00075-X_BIB9","series-title":"Enumeration and Design","first-page":"157","article-title":"Combinatorial proofs of congruences","author":"Gessel","year":"1984"},{"key":"10.1016\/S0097-3165(03)00075-X_BIB10","series-title":"Graphical Enumeration","author":"Harary","year":"1973"},{"key":"10.1016\/S0097-3165(03)00075-X_BIB11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0001-8708(81)90052-9","article-title":"Une th\u00e9orie combinatoire des s\u00e9ries formelles","volume":"42","author":"Joyal","year":"1981","journal-title":"Adv. Math."},{"key":"10.1016\/S0097-3165(03)00075-X_BIB12","doi-asserted-by":"crossref","unstructured":"E. Lucas, Th\u00e9orie des fonctions num\u00e9riques simplement p\u00e9riodiques, Amer. J. Math. 1 (1878) 184\u2013240, 289\u2013321.","DOI":"10.2307\/2369308"},{"key":"10.1016\/S0097-3165(03)00075-X_BIB13","unstructured":"J.A. Makowsky, Specker's problem, in: E. Gr\u00e4del, C. Hirsch (Eds.), Problems in Finite Model Theory, THE FMT Homepage, 2000. Last version: June 2000, http:\/\/www-mgi.informatik.rwth-aachen.de\/FMT\/problems.ps"},{"key":"10.1016\/S0097-3165(03)00075-X_BIB14","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1112\/jlms\/s1-34.4.417","article-title":"The enumeration of locally restricted graphs, I","volume":"34","author":"Read","year":"1959","journal-title":"J. London Math. Soc."},{"key":"10.1016\/S0097-3165(03)00075-X_BIB15","doi-asserted-by":"crossref","first-page":"344","DOI":"10.1112\/jlms\/s1-35.3.344","article-title":"The enumeration of locally restricted graphs, II","volume":"35","author":"Read","year":"1960","journal-title":"J. London Math. Soc."},{"key":"10.1016\/S0097-3165(03)00075-X_BIB16","doi-asserted-by":"crossref","first-page":"433","DOI":"10.2307\/2370675","article-title":"The theory of group-reduced distributions","volume":"49","author":"Redfield","year":"1927","journal-title":"Amer. J. Math."},{"key":"10.1016\/S0097-3165(03)00075-X_BIB17","series-title":"Trends in Theoretical Computer Science","first-page":"141","article-title":"Application of logic and combinatorics to enumeration problems","author":"Specker","year":"1988"},{"key":"10.1016\/S0097-3165(03)00075-X_BIB18","series-title":"Enumerative Combinatorics","author":"Stanley","year":"1997"}],"container-title":["Journal of Combinatorial Theory, Series A"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S009731650300075X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S009731650300075X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,18]],"date-time":"2019-03-18T15:52:39Z","timestamp":1552924359000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S009731650300075X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,7]]},"references-count":18,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2003,7]]}},"alternative-id":["S009731650300075X"],"URL":"https:\/\/doi.org\/10.1016\/s0097-3165(03)00075-x","relation":{},"ISSN":["0097-3165"],"issn-type":[{"value":"0097-3165","type":"print"}],"subject":[],"published":{"date-parts":[[2003,7]]}}}