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I\\equiv[a,b],\n  \\end{equation}\n  with $a_i\\in C^{n-i}(I)$, is disconjugate on $ I $.\n  Such interval is characterized by the closed to zero eigenvalues of this problem coupled with $(k,n-k)$ boundary conditions, given by\n  \\begin{equation}\n  \\label{e-k-n-k}\n  u(a)=\\cdots=u^{(k-1)}(a)=u(b)=\\cdots=u^{(n-k-1)}(b)=0\\,,\\quad"},"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":"1506.03043","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-06-09T19:00:47Z","cross_cats_sorted":[],"title_canon_sha256":"41a0601bfbe024ac8ed3b57347134bd996c74cfa3156e5283b12745d00619c3e","abstract_canon_sha256":"06d0036faf3cecc1d21787eb46610d9c97f6b81bae435ce4eeb9c748fff4cf71"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:24.692377Z","signature_b64":"SUzBBYyd7s/F163M334rergT5LwD4RHRmYtRlmFUM+7FYbaWh3BapeH/Wmos+S9hGKUa3tdR7KzAHc9ngKQcCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f33c935e6a7adc33059e06610c1f17d6de16128eb1175ffbd2ebc5066a4deafc","last_reissued_at":"2026-05-18T01:51:24.691732Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:24.691732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Disconjugacy 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