{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:DZPZZ4R3LRWLF7T75GMWNTT6KR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6ebeb341a19ec0ecdfd63dc942c3ccc68ea146730db61c5e22ea3a527af673e0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-02-13T16:21:24Z","title_canon_sha256":"5567826060a39d7814d7cf01698d6b84c92551b4c528290044b01803b9b5f112"},"schema_version":"1.0","source":{"id":"2502.09455","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.09455","created_at":"2026-07-05T10:40:38Z"},{"alias_kind":"arxiv_version","alias_value":"2502.09455v2","created_at":"2026-07-05T10:40:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.09455","created_at":"2026-07-05T10:40:38Z"},{"alias_kind":"pith_short_12","alias_value":"DZPZZ4R3LRWL","created_at":"2026-07-05T10:40:38Z"},{"alias_kind":"pith_short_16","alias_value":"DZPZZ4R3LRWLF7T7","created_at":"2026-07-05T10:40:38Z"},{"alias_kind":"pith_short_8","alias_value":"DZPZZ4R3","created_at":"2026-07-05T10:40:38Z"}],"graph_snapshots":[{"event_id":"sha256:723173d912ebb85bd405228a25bd1db1245743ad8fc7a491d9aa5daf87e0062b","target":"graph","created_at":"2026-07-05T10:40:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2502.09455/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Formulas for the combined nuclear-recoil and finite-nuclear-size effects of order $(Z\\,\\alpha)^5$ and $(Z\\,\\alpha)^6$ are derived without any expansion in the nuclear charge radius $r_C$, making them applicable to both electronic and muonic atoms. The obtained results are particularly relevant for high-precision determinations of root-mean-square charge radii from muonic atom spectroscopy. We demonstrate that calculations of the atomic isotope shift based on the widely used Breit approximation give rise to an unphysical nuclear-size contribution that is linear in the nuclear charge radius $r_C","authors_text":"Krzysztof Pachucki, Vladimir A. Yerokhin, Vojt\\v{e}ch Patk\\'o\\v{s}","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-02-13T16:21:24Z","title":"Recoil corrections with finite nuclear size in hydrogenic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.09455","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:eeec6052a5ea91a62debb0737c595f40623e1098cf4c20354ea1d807505bf921","target":"record","created_at":"2026-07-05T10:40:38Z","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":"6ebeb341a19ec0ecdfd63dc942c3ccc68ea146730db61c5e22ea3a527af673e0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-02-13T16:21:24Z","title_canon_sha256":"5567826060a39d7814d7cf01698d6b84c92551b4c528290044b01803b9b5f112"},"schema_version":"1.0","source":{"id":"2502.09455","kind":"arxiv","version":2}},"canonical_sha256":"1e5f9cf23b5c6cb2fe7fe99966ce7e545307cdd57c56af207fd7c617e44083b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e5f9cf23b5c6cb2fe7fe99966ce7e545307cdd57c56af207fd7c617e44083b6","first_computed_at":"2026-07-05T10:40:38.523021Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:40:38.523021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AaMPIQJ5Wm9bNsOEtvWdJlwXm2duKa3MHKlOPqR33xivYArXMwUC/iRVkA7PEUm7OomMrdfIx7clzg0kar4YDA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:40:38.523513Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.09455","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eeec6052a5ea91a62debb0737c595f40623e1098cf4c20354ea1d807505bf921","sha256:723173d912ebb85bd405228a25bd1db1245743ad8fc7a491d9aa5daf87e0062b"],"state_sha256":"2151578dfcebd8371545d55a53960dee6886300ffdf654e981c3e7bb45b3cb47"}