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Fractional systematic due to the black-body radiation (BBR) shift ($\\beta$) arising from the Stark effect in the above clock transition was used as $-1.1 \\times 10^{-16}$ from our unpublished preliminary estimation. We present here a precise value as $\\beta=-1.815(77) \\times 10^{-16}$ by carrying out rigorous calculations of third-order polarizabilities of th"},"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":"1709.03340","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2017-09-11T11:47:37Z","cross_cats_sorted":[],"title_canon_sha256":"784b06c99b58f7d78cc158c57c903006826109c661ad2ca72d433fd4682ba96d","abstract_canon_sha256":"e8bfc62c66d11fe5199a12c7841f7726a3f10b5cf086e989626abf6ea80081a0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:28.894164Z","signature_b64":"IB12/S+GLgt1eHToq/AbpaJV82HorxP/Z81YSMFZ502RYolCKF7eZ0DhHdUngenZA2ElbTUjJ+urEbpXETCqAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ca451650a1d2a96928629413f827226f7cc2bf27588b444e7a9dcf0267ef6cf","last_reissued_at":"2026-05-18T00:29:28.893468Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:28.893468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Estimation of BBR shift due to Stark effect for the Microwave $^{113}$Cd$^{+}$ Ion Clock","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.atom-ph","authors_text":"B. 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