{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:DZPZZ4R3LRWLF7T75GMWNTT6KR","short_pith_number":"pith:DZPZZ4R3","canonical_record":{"source":{"id":"2502.09455","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-02-13T16:21:24Z","cross_cats_sorted":[],"title_canon_sha256":"5567826060a39d7814d7cf01698d6b84c92551b4c528290044b01803b9b5f112","abstract_canon_sha256":"6ebeb341a19ec0ecdfd63dc942c3ccc68ea146730db61c5e22ea3a527af673e0"},"schema_version":"1.0"},"canonical_sha256":"1e5f9cf23b5c6cb2fe7fe99966ce7e545307cdd57c56af207fd7c617e44083b6","source":{"kind":"arxiv","id":"2502.09455","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:DZPZZ4R3LRWLF7T75GMWNTT6KR","target":"record","payload":{"canonical_record":{"source":{"id":"2502.09455","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-02-13T16:21:24Z","cross_cats_sorted":[],"title_canon_sha256":"5567826060a39d7814d7cf01698d6b84c92551b4c528290044b01803b9b5f112","abstract_canon_sha256":"6ebeb341a19ec0ecdfd63dc942c3ccc68ea146730db61c5e22ea3a527af673e0"},"schema_version":"1.0"},"canonical_sha256":"1e5f9cf23b5c6cb2fe7fe99966ce7e545307cdd57c56af207fd7c617e44083b6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:40:38.523513Z","signature_b64":"AaMPIQJ5Wm9bNsOEtvWdJlwXm2duKa3MHKlOPqR33xivYArXMwUC/iRVkA7PEUm7OomMrdfIx7clzg0kar4YDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e5f9cf23b5c6cb2fe7fe99966ce7e545307cdd57c56af207fd7c617e44083b6","last_reissued_at":"2026-07-05T10:40:38.523021Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:40:38.523021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.09455","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:40:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2SG8GpTv+Z7BOOqNxFICXF9os7loLgvv2qRFPfSaUyquLEZUqQdwLqwSVWBVek0/3FfH9iVT1CCjwU632Fp1BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T12:52:48.686254Z"},"content_sha256":"eeec6052a5ea91a62debb0737c595f40623e1098cf4c20354ea1d807505bf921","schema_version":"1.0","event_id":"sha256:eeec6052a5ea91a62debb0737c595f40623e1098cf4c20354ea1d807505bf921"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:DZPZZ4R3LRWLF7T75GMWNTT6KR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Recoil corrections with finite nuclear size in hydrogenic systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.atom-ph","authors_text":"Krzysztof Pachucki, Vladimir A. Yerokhin, Vojt\\v{e}ch Patk\\'o\\v{s}","submitted_at":"2025-02-13T16:21:24Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.09455","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.09455/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:40:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Q8NiUP7Nw/YkdCzSkUc37F2RxKK+ZuAMWEtxqQ5304ZYBCehMpt+PN9tt8NxzOzWAoPpJXCg/mLwX3mmGt4Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T12:52:48.686749Z"},"content_sha256":"723173d912ebb85bd405228a25bd1db1245743ad8fc7a491d9aa5daf87e0062b","schema_version":"1.0","event_id":"sha256:723173d912ebb85bd405228a25bd1db1245743ad8fc7a491d9aa5daf87e0062b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DZPZZ4R3LRWLF7T75GMWNTT6KR/bundle.json","state_url":"https://pith.science/pith/DZPZZ4R3LRWLF7T75GMWNTT6KR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DZPZZ4R3LRWLF7T75GMWNTT6KR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-08T12:52:48Z","links":{"resolver":"https://pith.science/pith/DZPZZ4R3LRWLF7T75GMWNTT6KR","bundle":"https://pith.science/pith/DZPZZ4R3LRWLF7T75GMWNTT6KR/bundle.json","state":"https://pith.science/pith/DZPZZ4R3LRWLF7T75GMWNTT6KR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DZPZZ4R3LRWLF7T75GMWNTT6KR/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XcNuywhj5M8GbQzRQs48xr5fEhE5Gb11DcgXZSv4FUiDoi8MSuLh04+UKrcTjUQxjpLWtpUOzH9bkhv4vMnrCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T12:52:48.690711Z","bundle_sha256":"320c5e3c6389b92fcb20514a7a14434e87353c9494ecaf2d1e5bd5fa1043e87e"}}