{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:LODGCOTDHHLXLWRE7DYECGSZGX","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":"4a23bca76ec1e6f0b3a8533c74a96da00907f522c95bd5ffd656e8ca3bbdf05e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-06-04T07:40:44Z","title_canon_sha256":"0cb0d03826552315f94638eeb77971684e006ef174ccc6288c4f99ca13925b4a"},"schema_version":"1.0","source":{"id":"2506.03644","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.03644","created_at":"2026-07-05T11:52:02Z"},{"alias_kind":"arxiv_version","alias_value":"2506.03644v2","created_at":"2026-07-05T11:52:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.03644","created_at":"2026-07-05T11:52:02Z"},{"alias_kind":"pith_short_12","alias_value":"LODGCOTDHHLX","created_at":"2026-07-05T11:52:02Z"},{"alias_kind":"pith_short_16","alias_value":"LODGCOTDHHLXLWRE","created_at":"2026-07-05T11:52:02Z"},{"alias_kind":"pith_short_8","alias_value":"LODGCOTD","created_at":"2026-07-05T11:52:02Z"}],"graph_snapshots":[{"event_id":"sha256:9014cb5801c82dbc2e80328f3ff2eb5b9b4c2ec944ec906f70e2de30357a9e39","target":"graph","created_at":"2026-07-05T11:52:02Z","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/2506.03644/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The finite operators are derived for the recoil $m\\alpha^6(m/M)$ order relativistic corrections (to spin-averaged energy levels) in hydrogen-like atoms and ions in the two- and three-body formalism beyond the adiabatic approximation. Results are presented in a form suitable for numerical evaluation.","authors_text":"Vladimir I Korobov","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-06-04T07:40:44Z","title":"Relativistic recoil corrections of order \\boldmath$m(Z\\alpha)^6(m/M)$: Hydrogen-like atom and hydrogen molecular ion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.03644","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":"sha256:082981fe640775b09e66479d7cd9ccef872d45f7de71f8bbcb5c0e25e2a7e1e0","target":"record","created_at":"2026-07-05T11:52:02Z","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":"4a23bca76ec1e6f0b3a8533c74a96da00907f522c95bd5ffd656e8ca3bbdf05e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.atom-ph","submitted_at":"2025-06-04T07:40:44Z","title_canon_sha256":"0cb0d03826552315f94638eeb77971684e006ef174ccc6288c4f99ca13925b4a"},"schema_version":"1.0","source":{"id":"2506.03644","kind":"arxiv","version":2}},"canonical_sha256":"5b86613a6339d775da24f8f0411a5935d04c8cdd3bf3a58f0a570c9fb5b3ef06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b86613a6339d775da24f8f0411a5935d04c8cdd3bf3a58f0a570c9fb5b3ef06","first_computed_at":"2026-07-05T11:52:02.546869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:52:02.546869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O3xk7EFdQ++8BHp2cApWQQ9NHsKnIDmio6P0gbDBOOcx58kA32z6S6VWMxn8EKgfDPLb0PsxEVWFSZWVbQrPBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:52:02.547347Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.03644","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:082981fe640775b09e66479d7cd9ccef872d45f7de71f8bbcb5c0e25e2a7e1e0","sha256:9014cb5801c82dbc2e80328f3ff2eb5b9b4c2ec944ec906f70e2de30357a9e39"],"state_sha256":"592eb9d9f532f1d5c880aa07e57f71c53e2b6dfc2e559a209bfbb17f8680bfbe"}