{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:ILYMI47V7ZIRRUDBLREOMBNV7C","short_pith_number":"pith:ILYMI47V","schema_version":"1.0","canonical_sha256":"42f0c473f5fe5118d0615c48e605b5f8bd2f5e7f7641d91164772a41544a8d2b","source":{"kind":"arxiv","id":"hep-ph/9904292","version":1},"attestation_state":"computed","paper":{"title":"Energy-Scale Dependence of the Lepton-Flavor-Mixing Matrix","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"2), (2) Mie Univ., (3) Nagoya Univ., (4) KEK), M. Sugiura (3) ((1) Ohio State Univ., N. Haba (1, N. Okamura (4), Y. Matsui (3)","submitted_at":"1999-04-10T09:46:28Z","abstract_excerpt":"We study an energy-scale dependence of the lepton-flavor-mixing matrix in the minimal supersymmetric standard model with the effective dimension-five operators which give the masses of neutrinos. We analyze the renormalization group equations of kappa_{ij}s which are coefficients of these effective operators under the approximation to neglect the corrections of O(\\kappa^2). As a consequence, we find that all phases in $\\kappa$ do not depend on the energy-scale, and that only n_g-1 (n_g: generation number) real independent parameters in the lepton-flavor-mixing matrix depend on the energy-scale"},"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":"hep-ph/9904292","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-04-10T09:46:28Z","cross_cats_sorted":[],"title_canon_sha256":"9ec39d31b802aec841e3f64fb776d02de9cd61d7c6a02fac560bfbcb25f5edc4","abstract_canon_sha256":"677bb97408723275bee833eaa5763febc769e4f34c7403976eecf606cdf17414"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:17.485616Z","signature_b64":"XmkDI5zbAlQWBTp4ujB5pfJhRtGkfPE16cBfA8ghRr65XYmlxbbUgPKoVFepM9rihPHAmtR4UZt5h4VEtaEnAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42f0c473f5fe5118d0615c48e605b5f8bd2f5e7f7641d91164772a41544a8d2b","last_reissued_at":"2026-05-18T04:13:17.485100Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:17.485100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Energy-Scale Dependence of the Lepton-Flavor-Mixing Matrix","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"2), (2) Mie Univ., (3) Nagoya Univ., (4) KEK), M. Sugiura (3) ((1) Ohio State Univ., N. Haba (1, N. Okamura (4), Y. Matsui (3)","submitted_at":"1999-04-10T09:46:28Z","abstract_excerpt":"We study an energy-scale dependence of the lepton-flavor-mixing matrix in the minimal supersymmetric standard model with the effective dimension-five operators which give the masses of neutrinos. We analyze the renormalization group equations of kappa_{ij}s which are coefficients of these effective operators under the approximation to neglect the corrections of O(\\kappa^2). As a consequence, we find that all phases in $\\kappa$ do not depend on the energy-scale, and that only n_g-1 (n_g: generation number) real independent parameters in the lepton-flavor-mixing matrix depend on the energy-scale"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9904292","kind":"arxiv","version":1},"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":"hep-ph/9904292","created_at":"2026-05-18T04:13:17.485175+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9904292v1","created_at":"2026-05-18T04:13:17.485175+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9904292","created_at":"2026-05-18T04:13:17.485175+00:00"},{"alias_kind":"pith_short_12","alias_value":"ILYMI47V7ZIR","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_16","alias_value":"ILYMI47V7ZIRRUDB","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_8","alias_value":"ILYMI47V","created_at":"2026-05-18T12:25:49.631198+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/ILYMI47V7ZIRRUDBLREOMBNV7C","json":"https://pith.science/pith/ILYMI47V7ZIRRUDBLREOMBNV7C.json","graph_json":"https://pith.science/api/pith-number/ILYMI47V7ZIRRUDBLREOMBNV7C/graph.json","events_json":"https://pith.science/api/pith-number/ILYMI47V7ZIRRUDBLREOMBNV7C/events.json","paper":"https://pith.science/paper/ILYMI47V"},"agent_actions":{"view_html":"https://pith.science/pith/ILYMI47V7ZIRRUDBLREOMBNV7C","download_json":"https://pith.science/pith/ILYMI47V7ZIRRUDBLREOMBNV7C.json","view_paper":"https://pith.science/paper/ILYMI47V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/9904292&json=true","fetch_graph":"https://pith.science/api/pith-number/ILYMI47V7ZIRRUDBLREOMBNV7C/graph.json","fetch_events":"https://pith.science/api/pith-number/ILYMI47V7ZIRRUDBLREOMBNV7C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ILYMI47V7ZIRRUDBLREOMBNV7C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ILYMI47V7ZIRRUDBLREOMBNV7C/action/storage_attestation","attest_author":"https://pith.science/pith/ILYMI47V7ZIRRUDBLREOMBNV7C/action/author_attestation","sign_citation":"https://pith.science/pith/ILYMI47V7ZIRRUDBLREOMBNV7C/action/citation_signature","submit_replication":"https://pith.science/pith/ILYMI47V7ZIRRUDBLREOMBNV7C/action/replication_record"}},"created_at":"2026-05-18T04:13:17.485175+00:00","updated_at":"2026-05-18T04:13:17.485175+00:00"}