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Here $g({\\mathbf x})$ is a bounded and positive definite $(m\\times m)$-matrix-valued function in ${\\mathbb R}^d$, periodic with respect to some lattice; $b({\\mathbf D})=\\sum_{|\\alpha|=p} b_\\alpha {\\mathbf D}^\\alpha$ is a differential operator of order $p$ with c"},"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":"1705.08295","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-21T19:27:45Z","cross_cats_sorted":[],"title_canon_sha256":"e8da028035e2edd40b9fc69e616ad482710f06bf48a9b05021d2a4a48c68e238","abstract_canon_sha256":"b48758296f2145402b4948abf0afaab7c91aaccee00f6fe347607c33b982dae7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:48.731422Z","signature_b64":"wMD4uzaHbqZ3nIAniSOdYKUrgRD6OG7KNNoJIJF4tmOFbu9ky3fhPa0M0wffR1xqCqo3MxcOoqoSvAikpiVSAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"103f9a4076b0ff688ed60496f93c4f02a85feffdc710d689caf5906418580e4e","last_reissued_at":"2026-05-18T00:43:48.730698Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:48.730698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Homogenization of the Neumann problem for higher-order elliptic equations with periodic coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Tatiana Suslina","submitted_at":"2017-05-21T19:27:45Z","abstract_excerpt":"Let $\\mathcal{O}\\subset\\mathbb{R}^d$ be a bounded domain of class $C^{2p}$. 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