{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,5]],"date-time":"2025-04-05T04:19:13Z","timestamp":1743826753901,"version":"3.40.3"},"reference-count":50,"publisher":"American Mathematical Society (AMS)","issue":"354","license":[{"start":{"date-parts":[[2025,9,24]],"date-time":"2025-09-24T00:00:00Z","timestamp":1758672000000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"funder":[{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"publisher","award":["712097","2200845","Walter and Constance Burke Award","Senior Faculty Grant","550033"],"award-info":[{"award-number":["712097","2200845","Walter and Constance Burke Award","Senior Faculty Grant","550033"]}],"id":[{"id":"10.13039\/100000893","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["712097","2200845","Walter and Constance Burke Award","Senior Faculty Grant","550033"],"award-info":[{"award-number":["712097","2200845","Walter and Constance Burke Award","Senior Faculty Grant","550033"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100008299","name":"Dartmouth College","doi-asserted-by":"publisher","award":["712097","2200845","Walter and Constance Burke Award","Senior Faculty Grant","550033"],"award-info":[{"award-number":["712097","2200845","Walter and Constance Burke Award","Senior Faculty Grant","550033"]}],"id":[{"id":"10.13039\/100008299","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"publisher","award":["712097","2200845","Walter and Constance Burke Award","Senior Faculty Grant","550033"],"award-info":[{"award-number":["712097","2200845","Walter and Constance Burke Award","Senior Faculty Grant","550033"]}],"id":[{"id":"10.13039\/100000893","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>We compute a complete set of isomorphism classes of cubic fourfolds over <inline-formula content-type=\"math\/mathml\">\n<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"double-struck upper F 2\">\n  <mml:semantics>\n    <mml:msub>\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\n        <mml:mi mathvariant=\"double-struck\">F<\/mml:mi>\n      <\/mml:mrow>\n      <mml:mn>2<\/mml:mn>\n    <\/mml:msub>\n    <mml:annotation encoding=\"application\/x-tex\">\\mathbb {F}_2<\/mml:annotation>\n  <\/mml:semantics>\n<\/mml:math>\n<\/inline-formula>. Using this, we are able to compile statistics about various invariants of cubic fourfolds, including their counts of points, lines, and planes; all zeta functions of the smooth cubic fourfolds over <inline-formula content-type=\"math\/mathml\">\n<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"double-struck upper F 2\">\n  <mml:semantics>\n    <mml:msub>\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\n        <mml:mi mathvariant=\"double-struck\">F<\/mml:mi>\n      <\/mml:mrow>\n      <mml:mn>2<\/mml:mn>\n    <\/mml:msub>\n    <mml:annotation encoding=\"application\/x-tex\">\\mathbb {F}_2<\/mml:annotation>\n  <\/mml:semantics>\n<\/mml:math>\n<\/inline-formula>; and their Newton polygons. One particular outcome is the number of smooth cubic fourfolds over <inline-formula content-type=\"math\/mathml\">\n<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"double-struck upper F 2\">\n  <mml:semantics>\n    <mml:msub>\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\n        <mml:mi mathvariant=\"double-struck\">F<\/mml:mi>\n      <\/mml:mrow>\n      <mml:mn>2<\/mml:mn>\n    <\/mml:msub>\n    <mml:annotation encoding=\"application\/x-tex\">\\mathbb {F}_2<\/mml:annotation>\n  <\/mml:semantics>\n<\/mml:math>\n<\/inline-formula>, which we fit into the asymptotic framework of discriminant complements. Another motivation is the realization problem for zeta functions of <inline-formula content-type=\"math\/mathml\">\n<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper K Baseline 3\">\n  <mml:semantics>\n    <mml:mrow>\n      <mml:mi>K<\/mml:mi>\n      <mml:mn>3<\/mml:mn>\n    <\/mml:mrow>\n    <mml:annotation encoding=\"application\/x-tex\">K3<\/mml:annotation>\n  <\/mml:semantics>\n<\/mml:math>\n<\/inline-formula> surfaces. We present a refinement to the standard method of orbit enumeration that leverages filtrations and gives a significant speedup. In the case of cubic fourfolds, the relevant filtration is determined by Waring representation and the method brings the problem into the computationally tractable range.<\/p>","DOI":"10.1090\/mcom\/4010","type":"journal-article","created":{"date-parts":[[2024,9,24]],"date-time":"2024-09-24T13:59:53Z","timestamp":1727186393000},"page":"2089-2112","source":"Crossref","is-referenced-by-count":1,"title":["A census of cubic fourfolds over \ud835\udd3d\u2082"],"prefix":"10.1090","volume":"94","author":[{"given":"Asher","family":"Auel","sequence":"first","affiliation":[]},{"given":"Avinash","family":"Kulkarni","sequence":"additional","affiliation":[]},{"given":"Jack","family":"Petok","sequence":"additional","affiliation":[]},{"given":"Jonah","family":"Weinbaum","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2024,9,24]]},"reference":[{"key":"1","doi-asserted-by":"crossref","first-page":"637","DOI":"10.4171\/dm\/628","article-title":"Some non-special cubic fourfolds","volume":"23","author":"Addington, Nicolas","year":"2018","journal-title":"Doc. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/1431-0635","issn-type":"print"},{"issue":"2","key":"2","doi-asserted-by":"publisher","first-page":"181","DOI":"10.14231\/AG-2014-010","article-title":"Cubic fourfolds containing a plane and a quintic del Pezzo surface","volume":"1","author":"Auel, Asher","year":"2014","journal-title":"Algebr. Geom.","ISSN":"https:\/\/id.crossref.org\/issn\/2313-1691","issn-type":"print"},{"key":"3","unstructured":"A. Auel and J. Petok, Zeta functions of \ud835\udc3e3 categories, preprint, 2024, available at \\url{https:\/\/math.dartmouth.edu\/ auel\/papers\/docs\/AP_{z}eta_{K}3_{c}ategory.pdf}"},{"key":"4","doi-asserted-by":"crossref","unstructured":"A. Auel, A. Kulkarni, J. Petok, and J. Weinbaum, Accompanying code to \u201cA census of cubic fourfolds over \ud835\udd3d\u2082\u201d, May 2024, \\url{ https:\/\/github.com\/JonahWeinbaum\/cubic-fourfolds}.","DOI":"10.1090\/mcom\/4010"},{"issue":"14","key":"5","first-page":"703","article-title":"La vari\u00e9t\u00e9 des droites d\u2019une hypersurface cubique de dimension 4","volume":"301","author":"Beauville, Arnaud","year":"1985","journal-title":"C. R. Acad. Sci. Paris S\\'{e}r. I Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0249-6291","issn-type":"print"},{"issue":"3","key":"6","doi-asserted-by":"publisher","first-page":"1323","DOI":"10.4007\/annals.2024.199.3.7","article-title":"Polynomial point counts and odd cohomology vanishing on moduli spaces of stable curves","volume":"199","author":"Bergstr\u00f6m, Jonas","year":"2024","journal-title":"Ann. of Math. (2)","ISSN":"https:\/\/id.crossref.org\/issn\/0003-486X","issn-type":"print"},{"key":"7","first-page":"1","article-title":"On the local zeta function of a cubic threefold","volume":"21","author":"Bombieri, E.","year":"1967","journal-title":"Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3)","ISSN":"https:\/\/id.crossref.org\/issn\/0391-173X","issn-type":"print"},{"issue":"3-4","key":"8","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1006\/jsco.1996.0125","article-title":"The Magma algebra system. I. The user language","volume":"24","author":"Bosma, Wieb","year":"1997","journal-title":"J. Symbolic Comput.","ISSN":"https:\/\/id.crossref.org\/issn\/0747-7171","issn-type":"print"},{"issue":"1","key":"9","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1007\/s00222-012-0443-y","article-title":"The Tate conjecture for \ud835\udc3e3 surfaces over finite fields","volume":"194","author":"Charles, Fran\u00e7ois","year":"2013","journal-title":"Invent. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0020-9910","issn-type":"print"},{"issue":"2","key":"10","doi-asserted-by":"publisher","first-page":"487","DOI":"10.4007\/annals.2016.184.2.4","article-title":"Birational boundedness for holomorphic symplectic varieties, Zarhin\u2019s trick for \ud835\udc3e3 surfaces, and the Tate conjecture","volume":"184","author":"Charles, Fran\u00e7ois","year":"2016","journal-title":"Ann. of Math. (2)","ISSN":"https:\/\/id.crossref.org\/issn\/0003-486X","issn-type":"print"},{"issue":"2","key":"11","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1112\/S0010437X14007386","article-title":"La conjecture de Tate enti\u00e8re pour les cubiques de dimension quatre","volume":"151","author":"Charles, Fran\u00e7ois","year":"2015","journal-title":"Compos. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0010-437X","issn-type":"print"},{"key":"12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1090\/conm\/620\/12395","article-title":"Representation stability in cohomology and asymptotics for families of varieties over finite fields","author":"Church, Thomas","year":"2014"},{"key":"13","unstructured":"E. Costa, Zeta functions of quartic \ud835\udc3e3 surfaces over \ud835\udd3d\u2083, March 2016, lecture slides available at \\url{https:\/\/edgarcosta.org\/assets\/slides\/K3F3.pdf}."},{"key":"14","first-page":"19","article-title":"Lines on cubic hypersurfaces over finite fields","author":"Debarre, Olivier","year":"2017"},{"issue":"3","key":"15","doi-asserted-by":"publisher","first-page":"15","DOI":"10.4213\/im8803","article-title":"Automorphisms of cubic surfaces in positive characteristic","volume":"83","author":"Dolgachev, I.","year":"2019","journal-title":"Izv. Ross. Akad. Nauk Ser. Mat.","ISSN":"https:\/\/id.crossref.org\/issn\/1607-0046","issn-type":"print"},{"issue":"1","key":"16","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/S1073792803202038","article-title":"A supersingular \ud835\udc3e3 surface in characteristic 2 and the Leech lattice","author":"Dolgachev, I.","year":"2003","journal-title":"Int. Math. Res. Not.","ISSN":"https:\/\/id.crossref.org\/issn\/1073-7928","issn-type":"print"},{"key":"17","doi-asserted-by":"publisher","first-page":"212","DOI":"10.1007\/978-3-540-79456-1_14","article-title":"\ud835\udc3e3 surfaces of Picard rank one and degree two","author":"Elsenhans, Andreas-Stephan","year":"2008"},{"issue":"11","key":"18","doi-asserted-by":"publisher","first-page":"2161","DOI":"10.1215\/00127094-3129381","article-title":"On the characteristic polynomial of the Frobenius on \u00e9tale cohomology","volume":"164","author":"Elsenhans, Andreas-Stephan","year":"2015","journal-title":"Duke Math. J.","ISSN":"https:\/\/id.crossref.org\/issn\/0012-7094","issn-type":"print"},{"key":"19","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1007\/BF02565634","article-title":"Sulle forme cubiche dello spazio a cinque dimensioni contenenti rigate razionali del 4^{\u2218} ordine","volume":"15","author":"Fano, Gino","year":"1943","journal-title":"Comment. Math. Helv.","ISSN":"https:\/\/id.crossref.org\/issn\/0010-2571","issn-type":"print"},{"issue":"4","key":"20","doi-asserted-by":"publisher","first-page":"827","DOI":"10.4171\/dm\/925","article-title":"Cubic fourfolds, Kuznetsov components, and Chow motives","volume":"28","author":"Fu, Lie","year":"2023","journal-title":"Doc. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/1431-0635","issn-type":"print"},{"key":"21","unstructured":"L. Fu and B. Moonen, The Tate Conjecture for even dimensional Gushel-Mukai varieties in characteristic \ud835\udc5d\u22655, Preprint 2022,  arXiv:2207.01122."},{"key":"22","unstructured":"S. Galkin and E. Shinder, The Fano variety of lines and rationality problem for a cubic hypersurface, Preprint 2014,  arXiv:1405.5154."},{"key":"23","series-title":"Advanced Studies in Pure Mathematics, Vol. 2","volume-title":"Cohomologie locale des faisceaux coh\\'{e}rents et th\\'{e}or\\`emes de Lefschetz locaux et globaux $(SGA$ $2)$","author":"Grothendieck, Alexander","year":"1968"},{"key":"24","unstructured":"C. Halleck-Dub\u00e9, A database of small projective hypersurfaces over \ud835\udd3d\u2082, Yale College Undergraduate Senior Thesis (2019)."},{"key":"25","unstructured":"Brendan Hassett, Special cubic fourfolds (longwinded version), revision of Special cubic hypersurfaces of dimension four, Harvard University Thesis (1996)."},{"key":"26","first-page":"29","article-title":"Cubic fourfolds, K3 surfaces, and rationality questions","author":"Hassett, Brendan","year":"2016"},{"issue":"3","key":"27","doi-asserted-by":"publisher","first-page":"1377","DOI":"10.1016\/j.aim.2011.06.017","article-title":"Transcendental obstructions to weak approximation on general K3 surfaces","volume":"228","author":"Hassett, Brendan","year":"2011","journal-title":"Adv. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0001-8708","issn-type":"print"},{"key":"28","series-title":"Discrete Mathematics and its Applications (Boca Raton)","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1201\/9781420035216","volume-title":"Handbook of computational group theory","author":"Holt, Derek F.","year":"2005","ISBN":"https:\/\/id.crossref.org\/isbn\/1584883723"},{"key":"29","doi-asserted-by":"publisher","first-page":"1267","DOI":"10.1016\/j.aim.2019.04.030","article-title":"Motivic random variables and representation stability II: Hypersurface sections","volume":"350","author":"Howe, Sean","year":"2019","journal-title":"Adv. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0001-8708","issn-type":"print"},{"issue":"3","key":"30","doi-asserted-by":"publisher","first-page":"586","DOI":"10.1112\/S0010437X16008137","article-title":"The K3 category of a cubic fourfold","volume":"153","author":"Huybrechts, Daniel","year":"2017","journal-title":"Compos. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0010-437X","issn-type":"print"},{"issue":"3","key":"31","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1007\/s00229-007-0121-3","article-title":"The \ud835\udc3f-series of a cubic fourfold","volume":"124","author":"Hulek, Klaus","year":"2007","journal-title":"Manuscripta Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-2611","issn-type":"print"},{"key":"32","doi-asserted-by":"publisher","first-page":"Paper No. e29, 70","DOI":"10.1017\/fms.2021.24","article-title":"CM liftings of \ud835\udc3e3 surfaces over finite fields and their applications to the Tate conjecture","volume":"9","author":"Ito, Kazuhiro","year":"2021","journal-title":"Forum Math. Sigma"},{"key":"33","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1112\/S1461157016000140","article-title":"A census of zeta functions of quartic K3 surfaces over \ud835\udd3d\u2082","volume":"19","author":"Kedlaya, Kiran S.","year":"2016","journal-title":"LMS J. Comput. Math."},{"key":"34","doi-asserted-by":"publisher","first-page":"Paper No. e28, 34","DOI":"10.1017\/fms.2016.23","article-title":"2-adic integral canonical models","volume":"4","author":"Kim, Wansu","year":"2016","journal-title":"Forum Math. Sigma"},{"key":"35","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1007\/978-0-8176-4934-0_9","article-title":"Derived categories of cubic fourfolds","author":"Kuznetsov, Alexander","year":"2010"},{"issue":"2","key":"36","doi-asserted-by":"publisher","first-page":"1455","DOI":"10.1007\/s00209-021-02810-x","article-title":"Automorphisms and periods of cubic fourfolds","volume":"300","author":"Laza, Radu","year":"2022","journal-title":"Math. Z.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5874","issn-type":"print"},{"issue":"1","key":"37","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1023\/A:1017532821467","article-title":"The Tate conjecture for cubic fourfolds over a finite field","volume":"127","author":"Levin, Norman","year":"2001","journal-title":"Compositio Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0010-437X","issn-type":"print"},{"issue":"2","key":"38","doi-asserted-by":"publisher","first-page":"285","DOI":"10.24033\/asens.2215","article-title":"Finiteness of K3 surfaces and the Tate conjecture","volume":"47","author":"Lieblich, Max","year":"2014","journal-title":"Ann. Sci. \\'{E}c. Norm. Sup\\'{e}r. (4)","ISSN":"https:\/\/id.crossref.org\/issn\/0012-9593","issn-type":"print"},{"issue":"2","key":"39","doi-asserted-by":"publisher","first-page":"625","DOI":"10.1007\/s00222-014-0557-5","article-title":"The Tate conjecture for K3 surfaces in odd characteristic","volume":"201","author":"Madapusi Pera, Keerthi","year":"2015","journal-title":"Invent. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0020-9910","issn-type":"print"},{"key":"40","doi-asserted-by":"publisher","first-page":"Paper No. e28, 34","DOI":"10.1017\/fms.2016.23","article-title":"2-adic integral canonical models","volume":"4","author":"Kim, Wansu","year":"2016","journal-title":"Forum Math. Sigma"},{"key":"41","doi-asserted-by":"publisher","first-page":"347","DOI":"10.1215\/kjm\/1250524785","article-title":"On the automorphisms of hypersurfaces","volume":"3","author":"Matsumura, Hideyuki","year":"1963","journal-title":"J. Math. Kyoto Univ.","ISSN":"https:\/\/id.crossref.org\/issn\/0023-608X","issn-type":"print"},{"issue":"13","key":"42","doi-asserted-by":"publisher","first-page":"2357","DOI":"10.1215\/00127094-2804783","article-title":"Supersingular K3 surfaces for large primes","volume":"163","author":"Maulik, Davesh","year":"2014","journal-title":"Duke Math. J.","ISSN":"https:\/\/id.crossref.org\/issn\/0012-7094","issn-type":"print"},{"issue":"2","key":"43","doi-asserted-by":"publisher","first-page":"171","DOI":"10.14231\/ag-2021-003","article-title":"Automorphism groups of cubic fourfolds and K3 categories","volume":"8","author":"Ouchi, Genki","year":"2021","journal-title":"Algebr. Geom.","ISSN":"https:\/\/id.crossref.org\/issn\/2313-1691","issn-type":"print"},{"issue":"3","key":"44","doi-asserted-by":"publisher","first-page":"1099","DOI":"10.4007\/annals.2004.160.1099","article-title":"Bertini theorems over finite fields","volume":"160","author":"Poonen, Bjorn","year":"2004","journal-title":"Ann. of Math. (2)","ISSN":"https:\/\/id.crossref.org\/issn\/0003-486X","issn-type":"print"},{"issue":"4","key":"45","doi-asserted-by":"publisher","first-page":"855","DOI":"10.4310\/MRL.2012.v19.n4.a10","article-title":"The discriminant and the determinant of a hypersurface of even dimension","volume":"19","author":"Saito, Takeshi","year":"2012","journal-title":"Math. Res. Lett.","ISSN":"https:\/\/id.crossref.org\/issn\/1073-2780","issn-type":"print"},{"key":"46","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1017\/S0027763000011016","article-title":"Representations of algebraic groups","volume":"22","author":"Steinberg, Robert","year":"1963","journal-title":"Nagoya Math. J.","ISSN":"https:\/\/id.crossref.org\/issn\/0027-7630","issn-type":"print"},{"issue":"5","key":"47","doi-asserted-by":"publisher","first-page":"1133","DOI":"10.2140\/ant.2016.10.1133","article-title":"K3 surfaces over finite fields with given \ud835\udc3f-function","volume":"10","author":"Taelman, Lenny","year":"2016","journal-title":"Algebra Number Theory","ISSN":"https:\/\/id.crossref.org\/issn\/1937-0652","issn-type":"print"},{"issue":"4","key":"48","doi-asserted-by":"publisher","first-page":"575","DOI":"10.1090\/bull\/1588","article-title":"Recent progress on the Tate conjecture","volume":"54","author":"Totaro, Burt","year":"2017","journal-title":"Bull. Amer. Math. Soc. (N.S.)","ISSN":"https:\/\/id.crossref.org\/issn\/0273-0979","issn-type":"print"},{"issue":"6","key":"49","doi-asserted-by":"publisher","first-page":"1139","DOI":"10.1215\/00127094-2877184","article-title":"Discriminants in the Grothendieck ring","volume":"164","author":"Vakil, Ravi","year":"2015","journal-title":"Duke Math. J.","ISSN":"https:\/\/id.crossref.org\/issn\/0012-7094","issn-type":"print"},{"key":"50","unstructured":"J. Weinbaum, A census of cubic fourfolds over \ud835\udd3d\u2082, Dartmouth College Undergraduate Honors Thesis (2023). Available at \\url{https:\/\/math.dartmouth.edu\/theses\/undergrad\/2023\/Weinbaum-thesis.pdf}."}],"container-title":["Mathematics of Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.ams.org\/mcom\/2025-94-354\/S0025-5718-2024-04010-3\/mcom4010_AM.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"https:\/\/www.ams.org\/mcom\/2025-94-354\/S0025-5718-2024-04010-3\/S0025-5718-2024-04010-3.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,4]],"date-time":"2025-04-04T17:25:08Z","timestamp":1743787508000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/mcom\/2025-94-354\/S0025-5718-2024-04010-3\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,9,24]]},"references-count":50,"journal-issue":{"issue":"354","published-print":{"date-parts":[[2025,7]]}},"alternative-id":["S0025-5718-2024-04010-3"],"URL":"https:\/\/doi.org\/10.1090\/mcom\/4010","archive":["CLOCKSS","Portico"],"relation":{},"ISSN":["0025-5718","1088-6842"],"issn-type":[{"type":"print","value":"0025-5718"},{"type":"electronic","value":"1088-6842"}],"subject":[],"published":{"date-parts":[[2024,9,24]]}}}