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Definition of a new bijection in Theorem 5.2 and a proof by a new technique;\n  4. A new proof of Theorem 5.5 based on the new bijection in Theorem 5.2;\n  5. Correction to the list of exceptional simple pairs in Proposition 3.1.\n  The main results of [1] remain true as stated. We also add a final remark on generalization."},"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":"1707.04707","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-07-15T08:30:43Z","cross_cats_sorted":[],"title_canon_sha256":"178062c2371826a1258de400db724905251883c8bd77b37549895cdad5e65083","abstract_canon_sha256":"6942b761ce3cfec9fc5eba8e1284c92be7d6a8cab4b2a4ea969a353c53ad75cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:12.522490Z","signature_b64":"WNvyifIxDEe2zsGHHlJtFunxS//8aVOT8N3nIxIz9FtRIl0pw9l7UgzUzwAONY3VgiPcMJEXdGJ6ikoojuO9CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b91078be53252ae5974f03c4ed0f97c113f6339f7f6eb40a74a497510f74ef3","last_reissued_at":"2026-05-18T00:40:12.522010Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:12.522010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Erratum and Addendum to: Invariant Differential Operators and Eigenspace Representations on an Affine Symmetric Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Jing-Song Huang","submitted_at":"2017-07-15T08:30:43Z","abstract_excerpt":"The purpose of this erratum and addendum is to correct the errors in [1]. It consists of five components:\n  1. Lemma 7.1 and Proposition 7.2 are wrong and discarded;\n  2. A new proof of existence $\\lambda(\\xi)$ in (7.1) without Proposition 7.2;\n  3. Definition of a new bijection in Theorem 5.2 and a proof by a new technique;\n  4. A new proof of Theorem 5.5 based on the new bijection in Theorem 5.2;\n  5. Correction to the list of exceptional simple pairs in Proposition 3.1.\n  The main results of [1] remain true as stated. 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