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The constants $\\beta_{kj} \\neq 0$ and $c_j > 0$ are prescribed constants, while $\\lambda_1, \\cdots, \\lambda_m$ are unk"},"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":"2506.22152","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-06-27T12:05:27Z","cross_cats_sorted":[],"title_canon_sha256":"0ae5429138ee766ab9f45fc8369c52c585524089571da08439d4b70460f52a38","abstract_canon_sha256":"ba436155e511f1d7c59c12ff6c72bd6ed6baf6c5713e4b3cae4f4385d2794695"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:28:22.732236Z","signature_b64":"JDnsEYQbvORDqSQkUmoVYRECf+buvslPo4QyXmrTzS7/MVy3Fy0yiqEjjhB1xB9PERPuFAKH44Z0XGb2f3k+CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80fbf6501de64f471e821299f315832b2462ac1a8ecee8f25df3b6cda1001318","last_reissued_at":"2026-07-05T11:28:22.731724Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:28:22.731724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multiple sign-changing and semi-nodal normalized solutions for a Gross-Pitaevskii type system on bounded domain: the $L^2$-supercritical case","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Linjie Song, Qiaoran Wu, Tianhao Liu, Wenming Zou","submitted_at":"2025-06-27T12:05:27Z","abstract_excerpt":"In this paper we investigate the existence of multiple sign-changing and semi-nodal normalized solutions for an $m$-coupled elliptic system of the Gross-Pitaevskii type:\n  \\begin{equation}\n  \\left\\{\n  \\begin{aligned}\n  &-\\Delta u_j + \\lambda_j u_j = \\sum_{k=1 }^m\\beta_{kj} u_k^2 u_j, \\quad u_j \\in H_0^1(\\Omega),\n  &\\int_\\Omega u_j^2dx = c_j, \\quad j = 1,2,\\cdots,m.\n  \\end{aligned}\n  \\right.\n  \\end{equation}\n  Here, $\\Omega \\subset \\mathbb{R}^N$ ($N = 3,4$) is a bounded domain. 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