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The resulting theoretical prediction for the ground state of $\\mu$H is $E_\\mathrm{hfs} = 182\\,626(5)$ $\\mu$eV.","authors_text":"Andrzej Maro\\'n, Krzysztof Pachucki, Mateusz Pa\\'ntak","cross_cats":[],"headline":"The full theory of muonic hydrogen hyperfine splitting, with direct recoil and QED corrections and proton structure taken from ordinary hydrogen, yields 182626(5) μeV for the ground state.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2026-04-08T10:43:04Z","title":"Recoil corrections to $\\mu$H hyperfine splitting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2604.06930","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-10T16:53:20.255436Z","id":"334167fa-79c3-4129-8091-b73ce747a298","model_set":{"reader":"grok-4.3"},"one_line_summary":"The ground-state hyperfine splitting in muonic hydrogen is predicted as 182626(5) μeV after including all contributions above 1 ppm.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"The full theory of muonic hydrogen hyperfine splitting, with direct recoil and QED corrections and proton structure taken from ordinary hydrogen, yields 182626(5) μeV for the ground state.","strongest_claim":"The resulting theoretical prediction for the ground state of μH is E_hfs = 182626(5) μeV.","weakest_assumption":"The proton structure correction extracted from ordinary hydrogen hyperfine splitting can be applied to muonic hydrogen with only the quoted 5 μeV uncertainty and without additional model-dependent errors from the different reduced-mass and wave-function regimes."}},"verdict_id":"334167fa-79c3-4129-8091-b73ce747a298"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7dfc1346bf66f7aac6ab9583a4983b4466ad044c7cd094c810a4ce9334dd8c3f","target":"record","created_at":"2026-06-19T16:10:37Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"549b15ad4c0921e6ae5e69cd37843d79145f81b61835458f1bf5ee9ceafeb041","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2026-04-08T10:43:04Z","title_canon_sha256":"b67fb6118c6b6d96bdba0f0655c3ecf3e1f3e13797f8c011ce3e782056038ecd"},"schema_version":"1.0","source":{"id":"2604.06930","kind":"arxiv","version":2}},"canonical_sha256":"bbe3c431c9fc9de6fc4b41f231df9f1d04923732f9b86b49eeea74710a4e618b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbe3c431c9fc9de6fc4b41f231df9f1d04923732f9b86b49eeea74710a4e618b","first_computed_at":"2026-06-19T16:10:37.209821Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:10:37.209821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QFA0OGeOk61jkNhHmCwYXnKjmK7LvpdgWqYhDzzr+rYQ7yB+ejivWhNwIzAnD5ier3tS3Hyjgv+BPzobm7flBw==","signature_status":"signed_v1","signed_at":"2026-06-19T16:10:37.210240Z","signed_message":"canonical_sha256_bytes"},"source_id":"2604.06930","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7dfc1346bf66f7aac6ab9583a4983b4466ad044c7cd094c810a4ce9334dd8c3f","sha256:f9403c013625b4f8dfa06916ed63a7213e45ff2aabc51366c0872ab28de6465b"],"state_sha256":"52099abe2c8b0a41cbb8c5b1ee10f7d0eda470c17fb974f29785f8574cc5489a"}