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The 4d F-theory compactification model over it has the largest geometric gauge group, $E_8^{2\\,561}\\times F_4^{7\\,576}\\times G_2^{20\\,168}\\times SU(2)^{30\\,200}$, and the largest number of axions, $181\\,820$, in the known 4d $\\mathcal{N}=1$ supergravity landscape. We also prove that there are at least $1100^{15\\,048}\\approx 7.5\\times 10^{45\\,766"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2001.07258","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-01-20T21:25:38Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"48823f083cbaa04c2846dc360bc9dfef0b1d0a9eed81a1c97dff0dd609e59f2d","abstract_canon_sha256":"cc801ee8bdee6b950694bd4b97253b252e7ac19003559e5ea4e5670faf23ac73"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:12:34.502013Z","signature_b64":"8FmZZC6EZ7kFVIKnTZMXUJoziaJuXpvMLlXt+4FCXAAe3t679rB0oaFdTif+es2jCruHXAG3KGMDw6nnN3P8Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89f952ee30692bb02fe7d13df656f38968229a418352722c1c2204b2a5601cc5","last_reissued_at":"2026-07-05T01:12:34.501612Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:12:34.501612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Elliptic Calabi-Yau Fourfold with Maximal $h^{1,1}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Yi-Nan Wang","submitted_at":"2020-01-20T21:25:38Z","abstract_excerpt":"In this paper, we explicitly construct the smooth compact base threefold for the elliptic Calabi-Yau fourfold with the largest known $h^{1,1}=303\\,148$. 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