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A corollary to our result shows that"},"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":"1606.00249","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-06-01T12:08:59Z","cross_cats_sorted":[],"title_canon_sha256":"5e8952756cd226676de6f0de256117e69aec36ab08421b443d7424f63ce9a5c7","abstract_canon_sha256":"2cba5bf107eb224bb75739735970c9e20d736a303bb042b05e9b2b2609f520da"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:48.421267Z","signature_b64":"XTL+71ovP506x/s6Z2qmn15k54tm9cj4Pbn3ZMP8oVIZnsqcf8Hrs1PVstGyR3OCtHm9jB/FxH5qN/ITBJbIAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe0727640905e49ae74694f010eceadc4277cb4d35e13dd83ea7a0a140942e24","last_reissued_at":"2026-05-18T00:22:48.420823Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:48.420823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strong Klee-And\\^o Theorems through an Open Mapping Theorem for cone-valued multi-functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Miek Messerschmidt","submitted_at":"2016-06-01T12:08:59Z","abstract_excerpt":"A version of the classical Klee-And\\^o Theorem states the following: For every Banach space $X$, ordered by a closed generating cone $C\\subseteq X$, there exists some $\\alpha>0$ so that, for every $x\\in X$, there exist $x^{\\pm}\\in C$ so that $x=x^{+}-x^{-}$ and $\\|x^{+}\\|+\\|x^{-}\\|\\leq\\alpha\\|x\\|$.\n  The conclusion of the Klee-And\\^o Theorem is what is known as a conormality property.\n  We prove stronger and somewhat more general versions of the Klee-And\\^o Theorem for both conormality and coadditivity (a property that is intimately related to conormality). 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