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More concretely, we prove that $$\\hbox{dist} (a,\\partial_e (E_1)) =\\max \\{ 1, \\|a\\|-1\\},$$ for every $a\\in E$ which is not Brown-Pedersen quasi-invertible. As a consequence, we determine the form of the $\\lambda$-function of Aron and Lohman on the open unit ball of an extremally rich JB$^*$-triple $E$, by showing that $\\lambda (a)= \\"},"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":"1503.01344","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-03-04T15:37:39Z","cross_cats_sorted":[],"title_canon_sha256":"c60399e5aa9fcf36f3041b2ad84101de19614dc17e2092c59284f4d6eb3c69d8","abstract_canon_sha256":"e1889e2d446ffd352ed2c12eeb99141ae42cea83076ccc408a86bc16223f45ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:34.736800Z","signature_b64":"cH+OWwNH1eCdNLqW0sc0vKV9v5pvHmGUEqzyBW0TNscI0KzRobMKq54Nn8ycG1CdvXT3/ar3OM5nyTR4qwSJBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94cb3d18fcd5a6ff70f83c6e4732f03cbb48116ec635b76102a95e1eb2cf9d92","last_reissued_at":"2026-05-18T02:25:34.736368Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:34.736368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quadratic Conorm and extremally rich JB*-triples","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Akhlaq A. 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