{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:7LJ5KFAIL6FNESLPJXRYGAOHQO","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":"a592a341f6c26ce0cd8701d324382f903c27388bec05fe1469cddfda198e621b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2009-09-26T04:56:13Z","title_canon_sha256":"dcf4565eeaf430c4b903a8c5cf74763e4bdbdc3a1c5ebf5881e2a8af779ce62c"},"schema_version":"1.0","source":{"id":"0909.4836","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.4836","created_at":"2026-07-04T15:51:59Z"},{"alias_kind":"arxiv_version","alias_value":"0909.4836v1","created_at":"2026-07-04T15:51:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.4836","created_at":"2026-07-04T15:51:59Z"},{"alias_kind":"pith_short_12","alias_value":"7LJ5KFAIL6FN","created_at":"2026-07-04T15:51:59Z"},{"alias_kind":"pith_short_16","alias_value":"7LJ5KFAIL6FNESLP","created_at":"2026-07-04T15:51:59Z"},{"alias_kind":"pith_short_8","alias_value":"7LJ5KFAI","created_at":"2026-07-04T15:51:59Z"}],"graph_snapshots":[{"event_id":"sha256:378b726523cde980c849a1f8d1048473f8ea87439d1d8855f1a4666203bd5746","target":"graph","created_at":"2026-07-04T15:51:59Z","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/0909.4836/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We calculate the relativistic corrections of relative order (Z alpha)^2$ to the two-photon decay rate of higher excited S and D states in ionic atomic systems, and we also evaluate the leading radiative corrections of relative order alpha (Z alpha)^2 ln[(Z alpha)^(-2)]. We thus complete the theory of the two-photon decay rates up to relative order alpha^3 ln(alpha). An approach inspired by nonrelativistic quantum electrodynamics is used. We find that the corrections of relative order (Z alpha)^2 to the two-photon decay are given by the zitterbewegung, the spin-orbit coupling and by relativisti","authors_text":"B. J. Wundt, U. D. Jentschura","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2009-09-26T04:56:13Z","title":"Relativistic (Z alpha)^2-Corrections and Leading Quantum Electrodynamic Corrections to the Two-Photon Decay Rate of Ionic States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.4836","kind":"arxiv","version":1},"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:a6bfab50e77c88dc37228932ad979b0fc62ca3291d6a860189153025873a056b","target":"record","created_at":"2026-07-04T15:51:59Z","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":"a592a341f6c26ce0cd8701d324382f903c27388bec05fe1469cddfda198e621b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2009-09-26T04:56:13Z","title_canon_sha256":"dcf4565eeaf430c4b903a8c5cf74763e4bdbdc3a1c5ebf5881e2a8af779ce62c"},"schema_version":"1.0","source":{"id":"0909.4836","kind":"arxiv","version":1}},"canonical_sha256":"fad3d514085f8ad2496f4de38301c783bc57680e52c56c48430d9b084d8bd522","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fad3d514085f8ad2496f4de38301c783bc57680e52c56c48430d9b084d8bd522","first_computed_at":"2026-07-04T15:51:59.387779Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:51:59.387779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vsxXifDzFHj+TimibW+VoSqBaJ1qxO87u8vb74XZqND8eGNsURwMLYHCcPmGWgv1AB6BZuPzhX3mlExAF7+3Cg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:51:59.388161Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.4836","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6bfab50e77c88dc37228932ad979b0fc62ca3291d6a860189153025873a056b","sha256:378b726523cde980c849a1f8d1048473f8ea87439d1d8855f1a4666203bd5746"],"state_sha256":"fe79d83882c455e03fea9c7d02faf38002719c0b2df4358a18c52b13c066c811"}