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The obtained values are: \\beta_He=4.37016022306(2) for the helium atom and \\beta_{H_2^+} = 3.012230335(1) for the H_2^+. Both results substantially improve the best known values for these quantities."},"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":"1203.1404","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2012-03-07T08:57:00Z","cross_cats_sorted":[],"title_canon_sha256":"b349d25bbaf5307a3da686f76c2675470d28c03b91afc371341673be6a8cb294","abstract_canon_sha256":"0911ea967a3ccc43f59218f796f80d1baeaea318f3ae629b6bf5eea9480c9552"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:45.258541Z","signature_b64":"pNcjh9jRwabjV4G4qTCL16r27AmpufrbWCMY7/40Vv3c+6xncO1sHCrUVGZ5eFMKT1CQlBwVKRrrhu2IWmI3Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"130fca7c092e21bae846f746ccef952c6260a2d56bcf902da18e31b629a54d1d","last_reissued_at":"2026-05-18T02:59:45.257730Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:45.257730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Calculation of the nonrelativistic Bethe logarithm in the velocity gauge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.atom-ph","authors_text":"V. 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