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Our work requires multiple series extensions of Frenkel and Turaev's terminating, balanced and very-well-poised ${}_{10}V_9$ elliptic hypergeometric summation formula due to Rosengren, and Rosengren and Schlosser. In our study, we discover two new $A_n$ ${}_{12}V_{11}$ transformation formulas, that reduce to two new $A_n$ extensions of Bailey's $_{10}\\phi_9$ transformation formulas when the nome $p$ is $0$, and two multiple series extensions of Frenkel and Turaev'"},"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":"1704.00020","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.CA","submitted_at":"2017-03-31T18:19:13Z","cross_cats_sorted":[],"title_canon_sha256":"ecfd2e2bdcae4f1c263993409209bd0bd36621496bd2869e1bbbac83624129b0","abstract_canon_sha256":"32510727d1334e3c10a951e31fc8c99a7410cdc442a6d11d4e5104dd5c4260db"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:27.579008Z","signature_b64":"2cIbTr8mnAppbfeAN6z2W65ChhEkdMsZ98G7+9pbVdqL04xQ/SG/fzec7CUMXobyF3d34/BnHYrK3BN2/DLDBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52a0beb8bedc34abc066ab4fac02aaf8085a302ab104e730b29c230587f48752","last_reissued_at":"2026-05-18T00:20:27.578518Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:27.578518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Elliptic Well-Poised Bailey Transforms and Lemmas on Root Systems","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Gaurav Bhatnagar, Michael J. 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