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Martynenko (Samara State U., Samara State Aerospace U.)","submitted_at":"2014-11-12T16:01:40Z","abstract_excerpt":"On the basis of perturbation theory in fine structure constant alpha and the ratio of electron to muon masses we calculate one-loop vacuum polarization, electron vertex corrections, nuclear structure and recoil corrections to hyperfine splitting of the ground state in muonic lithium ions $(\\mu\\ e\\ ^6_3Li)^+$ and $(\\mu\\ e\\ ^7_3Li)^+$. We obtain total results for the ground state small hyperfine splittings in $(\\mu\\ e\\ ^6_3Li)^+$ $\\Delta\\nu_1=21572.16$ MHz and $\\Delta\\nu_2=14152.56$ MHz and in $(\\mu\\ e\\ ^7_3Li)^+$ $\\Delta\\nu_1=21733.06$ MHz and $\\Delta\\nu_2=13994.35$ MHz which can be considered "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1411.3219","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-11-12T16:01:40Z","cross_cats_sorted":[],"title_canon_sha256":"f971b755757bfb644da0b517f98b8caae2c8eedf8927aad8f597e23dfc6215ba","abstract_canon_sha256":"c0abf6800f8a31dd4c2afd5062aa5ebdaeeabfb8ce3597edcbd2aca815fd1d7d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:35.402008Z","signature_b64":"ntk9OL/xQdV+jz5o9RsRjWVmsrFJdXWE4oyGbk9+N44mWSju/U73B+dwlCnJ5CoDNePkgd1nsk1ZEo6l1raqBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d743b61bc32349c3731850d18fd4e977f779cd2db2e306231ca04026579d9d59","last_reissued_at":"2026-05-18T01:34:35.401501Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:35.401501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ground state hyperfine structure in muonic lithium ions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A.A. 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We obtain total results for the ground state small hyperfine splittings in $(\\mu\\ e\\ ^6_3Li)^+$ $\\Delta\\nu_1=21572.16$ MHz and $\\Delta\\nu_2=14152.56$ MHz and in $(\\mu\\ e\\ ^7_3Li)^+$ $\\Delta\\nu_1=21733.06$ MHz and $\\Delta\\nu_2=13994.35$ MHz which can be considered "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3219","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1411.3219","created_at":"2026-05-18T01:34:35.401584+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.3219v3","created_at":"2026-05-18T01:34:35.401584+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.3219","created_at":"2026-05-18T01:34:35.401584+00:00"},{"alias_kind":"pith_short_12","alias_value":"25B3MG6DENE4","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"25B3MG6DENE4G4YY","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"25B3MG6D","created_at":"2026-05-18T12:28:09.283467+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/25B3MG6DENE4G4YYKDIY7VHJO7","json":"https://pith.science/pith/25B3MG6DENE4G4YYKDIY7VHJO7.json","graph_json":"https://pith.science/api/pith-number/25B3MG6DENE4G4YYKDIY7VHJO7/graph.json","events_json":"https://pith.science/api/pith-number/25B3MG6DENE4G4YYKDIY7VHJO7/events.json","paper":"https://pith.science/paper/25B3MG6D"},"agent_actions":{"view_html":"https://pith.science/pith/25B3MG6DENE4G4YYKDIY7VHJO7","download_json":"https://pith.science/pith/25B3MG6DENE4G4YYKDIY7VHJO7.json","view_paper":"https://pith.science/paper/25B3MG6D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.3219&json=true","fetch_graph":"https://pith.science/api/pith-number/25B3MG6DENE4G4YYKDIY7VHJO7/graph.json","fetch_events":"https://pith.science/api/pith-number/25B3MG6DENE4G4YYKDIY7VHJO7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/25B3MG6DENE4G4YYKDIY7VHJO7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/25B3MG6DENE4G4YYKDIY7VHJO7/action/storage_attestation","attest_author":"https://pith.science/pith/25B3MG6DENE4G4YYKDIY7VHJO7/action/author_attestation","sign_citation":"https://pith.science/pith/25B3MG6DENE4G4YYKDIY7VHJO7/action/citation_signature","submit_replication":"https://pith.science/pith/25B3MG6DENE4G4YYKDIY7VHJO7/action/replication_record"}},"created_at":"2026-05-18T01:34:35.401584+00:00","updated_at":"2026-05-18T01:34:35.401584+00:00"}