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Comparison with previous results, obtained at lower values of $B$ (0.68 T and 0.82 T), yields the diamagnetic shift coefficient $k$ = $2.63(18) \\times 10^{-11}$ T$^{-2}$, where $A(B)=A_0\\times (1+k B^2)$. The zero-field hyperfine constant $A_0$ is determined to be $-625\\,008\\,837.044(12)$ Hz. The $g$-factor ratio ${g_I}^\\prime/g_J$ is determined to be $2.134\\,779\\,852\\,7(10) \\times 10^{-4}"},"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":"1106.5760","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2011-06-28T18:48:36Z","cross_cats_sorted":[],"title_canon_sha256":"6efda9cedd692d8cf6503f5051d9b4dfa3e513026b6f01748957731658926932","abstract_canon_sha256":"9d15c06919fe945bf62d9dedf49fcb89677dc86fd3782a060dd73512dcbe1017"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:29.714261Z","signature_b64":"qAgabZUSkxFruSbhCwb59/3Zc1I53dCYAlqu5XJ9NkSazuNJrA5a0tBo8cFYLduD/sLAzoK6b6IwX+BwY1f9DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b80ed293bacc1314fa9232ff5e0974004fbe31a3be3448a6be64d4ac74b75c1","last_reissued_at":"2026-05-18T02:01:29.713685Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:29.713685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diamagnetic correction to the $\\bm{^9}$Be$\\bm{^+}$ ground-state hyperfine constant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.atom-ph","authors_text":"J. J. Bollinger, N. Shiga, W. M. Itano","submitted_at":"2011-06-28T18:48:36Z","abstract_excerpt":"We report an experimental determination of the diamagnetic correction to the $^9$Be$^+$ ground state hyperfine constant $A$. We measured $A$ = $-625\\,008\\,837.371(11)$ Hz at a magnetic field $B$ of 4.4609 T. Comparison with previous results, obtained at lower values of $B$ (0.68 T and 0.82 T), yields the diamagnetic shift coefficient $k$ = $2.63(18) \\times 10^{-11}$ T$^{-2}$, where $A(B)=A_0\\times (1+k B^2)$. The zero-field hyperfine constant $A_0$ is determined to be $-625\\,008\\,837.044(12)$ Hz. 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