{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:OTFTZYEFQAH65ZJSL3LC5E6H36","short_pith_number":"pith:OTFTZYEF","schema_version":"1.0","canonical_sha256":"74cb3ce085800feee5325ed62e93c7dfa5bff8b27df6dc7f1a27a2f5664f45b7","source":{"kind":"arxiv","id":"1508.06109","version":2},"attestation_state":"computed","paper":{"title":"Hyperfine structure of P-states in muonic deuterium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-ph","authors_text":"A.P. Martynenko, G.A. Martynenko, R.N. Faustov, V.V. Sorokin","submitted_at":"2015-08-25T11:22:58Z","abstract_excerpt":"On the basis of quasipotential approach to the bound state problem in quantum electrodynamics we calculate hyperfine structure intervals Delta E^{hfs}(2P_{1/2}) and Delta E^{hfs}(2P_{3/2}) for P-states in muonic deuterium. The tensor method of projection operators for the calculation of the hyperfine structure of P-states with definite quantum numbers of total atomic momentum F and total muon momentum j in muonic deuterium is formulated. We take into account vacuum polarization, relativistic, quadrupole and structure corrections of orders alpha^4, alpha^5 and alpha^6. The obtained numerical va"},"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":"1508.06109","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-08-25T11:22:58Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"d1266ded28d33bca0fbd9ea9db22ac8ccb3b2414379138a4a330122f4b4002d8","abstract_canon_sha256":"f09eea4da5df850eb0932764f19ba57620cfec71ce06c8bc9ae8d9fe5fa53bed"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:41.879716Z","signature_b64":"4SZhlVbU5UpnmJbYU/z4sNJg75eOfxW/drKQLHfSeNGrpFPYZBviYyQJ/dVXGo3m8KNa92ppOdhPu1DtBJpSDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74cb3ce085800feee5325ed62e93c7dfa5bff8b27df6dc7f1a27a2f5664f45b7","last_reissued_at":"2026-05-18T01:26:41.878930Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:41.878930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hyperfine structure of P-states in muonic deuterium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-ph","authors_text":"A.P. Martynenko, G.A. Martynenko, R.N. Faustov, V.V. Sorokin","submitted_at":"2015-08-25T11:22:58Z","abstract_excerpt":"On the basis of quasipotential approach to the bound state problem in quantum electrodynamics we calculate hyperfine structure intervals Delta E^{hfs}(2P_{1/2}) and Delta E^{hfs}(2P_{3/2}) for P-states in muonic deuterium. The tensor method of projection operators for the calculation of the hyperfine structure of P-states with definite quantum numbers of total atomic momentum F and total muon momentum j in muonic deuterium is formulated. We take into account vacuum polarization, relativistic, quadrupole and structure corrections of orders alpha^4, alpha^5 and alpha^6. The obtained numerical va"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06109","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":""},"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":"1508.06109","created_at":"2026-05-18T01:26:41.879063+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.06109v2","created_at":"2026-05-18T01:26:41.879063+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.06109","created_at":"2026-05-18T01:26:41.879063+00:00"},{"alias_kind":"pith_short_12","alias_value":"OTFTZYEFQAH6","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"OTFTZYEFQAH65ZJS","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"OTFTZYEF","created_at":"2026-05-18T12:29:34.919912+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/OTFTZYEFQAH65ZJSL3LC5E6H36","json":"https://pith.science/pith/OTFTZYEFQAH65ZJSL3LC5E6H36.json","graph_json":"https://pith.science/api/pith-number/OTFTZYEFQAH65ZJSL3LC5E6H36/graph.json","events_json":"https://pith.science/api/pith-number/OTFTZYEFQAH65ZJSL3LC5E6H36/events.json","paper":"https://pith.science/paper/OTFTZYEF"},"agent_actions":{"view_html":"https://pith.science/pith/OTFTZYEFQAH65ZJSL3LC5E6H36","download_json":"https://pith.science/pith/OTFTZYEFQAH65ZJSL3LC5E6H36.json","view_paper":"https://pith.science/paper/OTFTZYEF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.06109&json=true","fetch_graph":"https://pith.science/api/pith-number/OTFTZYEFQAH65ZJSL3LC5E6H36/graph.json","fetch_events":"https://pith.science/api/pith-number/OTFTZYEFQAH65ZJSL3LC5E6H36/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OTFTZYEFQAH65ZJSL3LC5E6H36/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OTFTZYEFQAH65ZJSL3LC5E6H36/action/storage_attestation","attest_author":"https://pith.science/pith/OTFTZYEFQAH65ZJSL3LC5E6H36/action/author_attestation","sign_citation":"https://pith.science/pith/OTFTZYEFQAH65ZJSL3LC5E6H36/action/citation_signature","submit_replication":"https://pith.science/pith/OTFTZYEFQAH65ZJSL3LC5E6H36/action/replication_record"}},"created_at":"2026-05-18T01:26:41.879063+00:00","updated_at":"2026-05-18T01:26:41.879063+00:00"}