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Soc., 1995]), for $\\mu$'s dot-linked to $P^+$-translates of sums $- \\sum_{j\\in J}\\alpha_j$ of mutually orthogonal and imaginary simple roots $\\alpha_j$'s.\n  Recently, we computed weights of all highest weight $\\mathfrak{g}"},"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":"2606.20386","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2026-06-18T15:44:31Z","cross_cats_sorted":[],"title_canon_sha256":"1a7f57885faf00df372e46f4e40bfb1338f350341f6da4cda679c4c6b710800b","abstract_canon_sha256":"b649acfcb0831682a3aecd06cbfe215f5e183861e799684aa4563ef140172344"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:13:11.225495Z","signature_b64":"0IVwPxv/Fk6IRp77n5gPTanGG0WEBLe+l6vEB5ZctDMdDZrsBCcZHL7dagB2xLY/DJC7xLo9eOakDnpQ3337Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b9f49e37ff8482b4b9dd35e77f8be819536a160a4a8399b5f233ebd262ea950","last_reissued_at":"2026-06-19T16:13:11.225081Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:13:11.225081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Characters of modules over negative rank-2 Borcherds-Kac-Moody Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"G. 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