{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:FPTIXA34OT6JZZIHIAZSWS5YCI","short_pith_number":"pith:FPTIXA34","canonical_record":{"source":{"id":"hep-ph/9910420","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-10-20T21:13:41Z","cross_cats_sorted":[],"title_canon_sha256":"6d953435cd22924f75819f38c159be2a22b85be6e0f1eb8f36b76f03fa7cdeb3","abstract_canon_sha256":"c46a3d32977c2af9f0b10f54e98569d4a91aa2b97d762b251710e248443dc03e"},"schema_version":"1.0"},"canonical_sha256":"2be68b837c74fc9ce50740332b4bb8120b946baccac40414b9ee784636cd57f8","source":{"kind":"arxiv","id":"hep-ph/9910420","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9910420","created_at":"2026-05-18T02:36:21Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9910420v1","created_at":"2026-05-18T02:36:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9910420","created_at":"2026-05-18T02:36:21Z"},{"alias_kind":"pith_short_12","alias_value":"FPTIXA34OT6J","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"FPTIXA34OT6JZZIH","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"FPTIXA34","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:FPTIXA34OT6JZZIHIAZSWS5YCI","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9910420","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-10-20T21:13:41Z","cross_cats_sorted":[],"title_canon_sha256":"6d953435cd22924f75819f38c159be2a22b85be6e0f1eb8f36b76f03fa7cdeb3","abstract_canon_sha256":"c46a3d32977c2af9f0b10f54e98569d4a91aa2b97d762b251710e248443dc03e"},"schema_version":"1.0"},"canonical_sha256":"2be68b837c74fc9ce50740332b4bb8120b946baccac40414b9ee784636cd57f8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:36:21.857411Z","signature_b64":"rXQ71+3FBlUGCqN6OEV2991BszQR87Em0IQJOWyvMqddEIXtDTvYIzHwyzXVXklL+dy4QWPktHA8vKiwZrxsDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2be68b837c74fc9ce50740332b4bb8120b946baccac40414b9ee784636cd57f8","last_reissued_at":"2026-05-18T02:36:21.856804Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:36:21.856804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9910420","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:36:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kz8Hljpyrlzv+de03oxun/ijoW4QzI4IO6G6lllLjiryyEEXdLelWneL0z6HfIWVHiJDkCURCYVpCxiS7g5FBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T20:06:06.001960Z"},"content_sha256":"0705b09aa4cf524222dd42227f6a0b47d93327ce28bea2da6c72cc5f4787f0c3","schema_version":"1.0","event_id":"sha256:0705b09aa4cf524222dd42227f6a0b47d93327ce28bea2da6c72cc5f4787f0c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:FPTIXA34OT6JZZIHIAZSWS5YCI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"General RG Equations for Physical Neutrino Parameters and their Phenomenological Implications","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. Ibarra, I. Navarro, J.A. Casas, J.R. Espinosa","submitted_at":"1999-10-20T21:13:41Z","abstract_excerpt":"The neutral leptonic sector of the Standard Model presumably consists of three neutrinos with non-zero Majorana masses with properties further determined by three mixing angles and three CP-violating phases. We derive the general renormalization group equations for these physical parameters and apply them to study the impact of radiative effects on neutrino physics. In particular, we examine the existing solutions to the solar and atmospheric neutrino problems, derive conclusions on their theoretical naturalness, and show how some of the measured neutrino parameters could be determined by pure"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9910420","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:36:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"01PaDXChjaPYcCXb48A5+tGyB4E5b1uQu4f6KdE0hQ3CA4TlQT6Fo90+vpY1dufaFTFeyD2UEAq+jx1LwyeWAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T20:06:06.002326Z"},"content_sha256":"c5a1f0d07cae4e103c0ae6b30cddbbc6055b52bdb831b65480f5a899d20eb790","schema_version":"1.0","event_id":"sha256:c5a1f0d07cae4e103c0ae6b30cddbbc6055b52bdb831b65480f5a899d20eb790"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FPTIXA34OT6JZZIHIAZSWS5YCI/bundle.json","state_url":"https://pith.science/pith/FPTIXA34OT6JZZIHIAZSWS5YCI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FPTIXA34OT6JZZIHIAZSWS5YCI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-21T20:06:06Z","links":{"resolver":"https://pith.science/pith/FPTIXA34OT6JZZIHIAZSWS5YCI","bundle":"https://pith.science/pith/FPTIXA34OT6JZZIHIAZSWS5YCI/bundle.json","state":"https://pith.science/pith/FPTIXA34OT6JZZIHIAZSWS5YCI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FPTIXA34OT6JZZIHIAZSWS5YCI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:FPTIXA34OT6JZZIHIAZSWS5YCI","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":"c46a3d32977c2af9f0b10f54e98569d4a91aa2b97d762b251710e248443dc03e","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1999-10-20T21:13:41Z","title_canon_sha256":"6d953435cd22924f75819f38c159be2a22b85be6e0f1eb8f36b76f03fa7cdeb3"},"schema_version":"1.0","source":{"id":"hep-ph/9910420","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9910420","created_at":"2026-05-18T02:36:21Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9910420v1","created_at":"2026-05-18T02:36:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9910420","created_at":"2026-05-18T02:36:21Z"},{"alias_kind":"pith_short_12","alias_value":"FPTIXA34OT6J","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"FPTIXA34OT6JZZIH","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"FPTIXA34","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:c5a1f0d07cae4e103c0ae6b30cddbbc6055b52bdb831b65480f5a899d20eb790","target":"graph","created_at":"2026-05-18T02:36:21Z","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"},"paper":{"abstract_excerpt":"The neutral leptonic sector of the Standard Model presumably consists of three neutrinos with non-zero Majorana masses with properties further determined by three mixing angles and three CP-violating phases. We derive the general renormalization group equations for these physical parameters and apply them to study the impact of radiative effects on neutrino physics. In particular, we examine the existing solutions to the solar and atmospheric neutrino problems, derive conclusions on their theoretical naturalness, and show how some of the measured neutrino parameters could be determined by pure","authors_text":"A. Ibarra, I. Navarro, J.A. Casas, J.R. Espinosa","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1999-10-20T21:13:41Z","title":"General RG Equations for Physical Neutrino Parameters and their Phenomenological Implications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9910420","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":"sha256:0705b09aa4cf524222dd42227f6a0b47d93327ce28bea2da6c72cc5f4787f0c3","target":"record","created_at":"2026-05-18T02:36:21Z","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":"c46a3d32977c2af9f0b10f54e98569d4a91aa2b97d762b251710e248443dc03e","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1999-10-20T21:13:41Z","title_canon_sha256":"6d953435cd22924f75819f38c159be2a22b85be6e0f1eb8f36b76f03fa7cdeb3"},"schema_version":"1.0","source":{"id":"hep-ph/9910420","kind":"arxiv","version":1}},"canonical_sha256":"2be68b837c74fc9ce50740332b4bb8120b946baccac40414b9ee784636cd57f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2be68b837c74fc9ce50740332b4bb8120b946baccac40414b9ee784636cd57f8","first_computed_at":"2026-05-18T02:36:21.856804Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:21.856804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rXQ71+3FBlUGCqN6OEV2991BszQR87Em0IQJOWyvMqddEIXtDTvYIzHwyzXVXklL+dy4QWPktHA8vKiwZrxsDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:21.857411Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9910420","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0705b09aa4cf524222dd42227f6a0b47d93327ce28bea2da6c72cc5f4787f0c3","sha256:c5a1f0d07cae4e103c0ae6b30cddbbc6055b52bdb831b65480f5a899d20eb790"],"state_sha256":"5d0bd6982f655fdeb2d4af05aa7946216ee31111a5192d49603027b12317454c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ez27ZJiZhss5xhLmF5TiLQPrtbYjK0ailJdCTP2cgDI/gjamE2ZNqCznqtM52WFtuOukWyXudITG4c7casIhCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T20:06:06.004493Z","bundle_sha256":"ef39e18a8b326fff573111d8f471fa8bd40692b8dfbec56f97748b11c8d9a1ed"}}