{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:NTYZ4BGGQJ4M3JJEW7CQZYV2PQ","short_pith_number":"pith:NTYZ4BGG","canonical_record":{"source":{"id":"hep-ph/0508044","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-08-03T12:57:38Z","cross_cats_sorted":[],"title_canon_sha256":"86e06e186fa07ee0e049b62414cc4a897e9c5b4702ce82481c1bbc1dd4c4bbc1","abstract_canon_sha256":"9d6b1c806187f5e5be307160563a6e563b579d83afc5696ef53e418248b7629c"},"schema_version":"1.0"},"canonical_sha256":"6cf19e04c68278cda524b7c50ce2ba7c387f4d674fda09fcd11e8747f57cc194","source":{"kind":"arxiv","id":"hep-ph/0508044","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0508044","created_at":"2026-07-04T17:24:39Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0508044v2","created_at":"2026-07-04T17:24:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0508044","created_at":"2026-07-04T17:24:39Z"},{"alias_kind":"pith_short_12","alias_value":"NTYZ4BGGQJ4M","created_at":"2026-07-04T17:24:39Z"},{"alias_kind":"pith_short_16","alias_value":"NTYZ4BGGQJ4M3JJE","created_at":"2026-07-04T17:24:39Z"},{"alias_kind":"pith_short_8","alias_value":"NTYZ4BGG","created_at":"2026-07-04T17:24:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:NTYZ4BGGQJ4M3JJEW7CQZYV2PQ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0508044","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-08-03T12:57:38Z","cross_cats_sorted":[],"title_canon_sha256":"86e06e186fa07ee0e049b62414cc4a897e9c5b4702ce82481c1bbc1dd4c4bbc1","abstract_canon_sha256":"9d6b1c806187f5e5be307160563a6e563b579d83afc5696ef53e418248b7629c"},"schema_version":"1.0"},"canonical_sha256":"6cf19e04c68278cda524b7c50ce2ba7c387f4d674fda09fcd11e8747f57cc194","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:24:39.226774Z","signature_b64":"sALYvXn/VTHX1V70FY4ONU7d4k/DNg7hET2zDd5ZQltUauuYo+8ERYObMCKGtZJuBGrWdn8H7eux95Bm11tuDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6cf19e04c68278cda524b7c50ce2ba7c387f4d674fda09fcd11e8747f57cc194","last_reissued_at":"2026-07-04T17:24:39.226357Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:24:39.226357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0508044","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:24:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G+SixI63orQCf3jrub0lxeFPEH7tkgZiDnwSxIuCMawzHlyJICdukZlTRrzfp8Iga1jOszaadxFzN0ljS/eMAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T17:49:13.869371Z"},"content_sha256":"a377f68345a351b4d02dc07414ae59bd4c5613cd917f768d7d0620577e0a2004","schema_version":"1.0","event_id":"sha256:a377f68345a351b4d02dc07414ae59bd4c5613cd917f768d7d0620577e0a2004"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:NTYZ4BGGQJ4M3JJEW7CQZYV2PQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Charged Lepton Corrections to Neutrino Mixing Angles and CP Phases Revisited","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Stefan Antusch, Steve F. King","submitted_at":"2005-08-03T12:57:38Z","abstract_excerpt":"We re-analyze charged lepton corrections to neutrino mixing angles and CP phases, carefully including CP phases from the charged lepton sector. We present simple analytical formulae for including the charged lepton corrections and derive compact new results for small neutrino and charged lepton mixings $\\theta^{\\nu}_{13}$ and $\\theta^{e}_{13}$. We find a generic relation $\\theta_{12} + \\frac{1}{\\sqrt{2}} \\theta^{e}_{12} \\cos(\\delta - \\pi) \\approx \\theta^{\\nu}_{12}$, which relates the prediction from the neutrino sector $\\theta^{\\nu}_{12}$ to the charged lepton mixing $\\theta^{e}_{12}$ and to t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0508044","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0508044/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T17:24:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W4xhf36iMLeFmDCrnf+uE8aYYbelBg2lYhaxOsHGDGfBOAZEULYROl5diJkH0il5b+WMEotOryLMRPwMCQWXBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T17:49:13.869953Z"},"content_sha256":"b10c81bacbe4067497049724f28ebc5114788257de311631cccef31a363374b3","schema_version":"1.0","event_id":"sha256:b10c81bacbe4067497049724f28ebc5114788257de311631cccef31a363374b3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NTYZ4BGGQJ4M3JJEW7CQZYV2PQ/bundle.json","state_url":"https://pith.science/pith/NTYZ4BGGQJ4M3JJEW7CQZYV2PQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NTYZ4BGGQJ4M3JJEW7CQZYV2PQ/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":"2026-08-10T17:49:13Z","links":{"resolver":"https://pith.science/pith/NTYZ4BGGQJ4M3JJEW7CQZYV2PQ","bundle":"https://pith.science/pith/NTYZ4BGGQJ4M3JJEW7CQZYV2PQ/bundle.json","state":"https://pith.science/pith/NTYZ4BGGQJ4M3JJEW7CQZYV2PQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NTYZ4BGGQJ4M3JJEW7CQZYV2PQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:NTYZ4BGGQJ4M3JJEW7CQZYV2PQ","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":"9d6b1c806187f5e5be307160563a6e563b579d83afc5696ef53e418248b7629c","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2005-08-03T12:57:38Z","title_canon_sha256":"86e06e186fa07ee0e049b62414cc4a897e9c5b4702ce82481c1bbc1dd4c4bbc1"},"schema_version":"1.0","source":{"id":"hep-ph/0508044","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0508044","created_at":"2026-07-04T17:24:39Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0508044v2","created_at":"2026-07-04T17:24:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0508044","created_at":"2026-07-04T17:24:39Z"},{"alias_kind":"pith_short_12","alias_value":"NTYZ4BGGQJ4M","created_at":"2026-07-04T17:24:39Z"},{"alias_kind":"pith_short_16","alias_value":"NTYZ4BGGQJ4M3JJE","created_at":"2026-07-04T17:24:39Z"},{"alias_kind":"pith_short_8","alias_value":"NTYZ4BGG","created_at":"2026-07-04T17:24:39Z"}],"graph_snapshots":[{"event_id":"sha256:b10c81bacbe4067497049724f28ebc5114788257de311631cccef31a363374b3","target":"graph","created_at":"2026-07-04T17:24:39Z","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/hep-ph/0508044/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We re-analyze charged lepton corrections to neutrino mixing angles and CP phases, carefully including CP phases from the charged lepton sector. We present simple analytical formulae for including the charged lepton corrections and derive compact new results for small neutrino and charged lepton mixings $\\theta^{\\nu}_{13}$ and $\\theta^{e}_{13}$. We find a generic relation $\\theta_{12} + \\frac{1}{\\sqrt{2}} \\theta^{e}_{12} \\cos(\\delta - \\pi) \\approx \\theta^{\\nu}_{12}$, which relates the prediction from the neutrino sector $\\theta^{\\nu}_{12}$ to the charged lepton mixing $\\theta^{e}_{12}$ and to t","authors_text":"Stefan Antusch, Steve F. King","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2005-08-03T12:57:38Z","title":"Charged Lepton Corrections to Neutrino Mixing Angles and CP Phases Revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0508044","kind":"arxiv","version":2},"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:a377f68345a351b4d02dc07414ae59bd4c5613cd917f768d7d0620577e0a2004","target":"record","created_at":"2026-07-04T17:24:39Z","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":"9d6b1c806187f5e5be307160563a6e563b579d83afc5696ef53e418248b7629c","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2005-08-03T12:57:38Z","title_canon_sha256":"86e06e186fa07ee0e049b62414cc4a897e9c5b4702ce82481c1bbc1dd4c4bbc1"},"schema_version":"1.0","source":{"id":"hep-ph/0508044","kind":"arxiv","version":2}},"canonical_sha256":"6cf19e04c68278cda524b7c50ce2ba7c387f4d674fda09fcd11e8747f57cc194","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cf19e04c68278cda524b7c50ce2ba7c387f4d674fda09fcd11e8747f57cc194","first_computed_at":"2026-07-04T17:24:39.226357Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:24:39.226357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sALYvXn/VTHX1V70FY4ONU7d4k/DNg7hET2zDd5ZQltUauuYo+8ERYObMCKGtZJuBGrWdn8H7eux95Bm11tuDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:24:39.226774Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0508044","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a377f68345a351b4d02dc07414ae59bd4c5613cd917f768d7d0620577e0a2004","sha256:b10c81bacbe4067497049724f28ebc5114788257de311631cccef31a363374b3"],"state_sha256":"9a3b276cf5a3b03921ac68c9261da42aa2efc2a19302d3d232968662be0ad81f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4z5tgaWpqkNKv5A/bzpgvzNZCc7Q4nZSGz1Z00KhQ35ivCse0ytKfiq7mmww+mFWZpe3ClQMTnUh080RksZCAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T17:49:13.874777Z","bundle_sha256":"9a80a853e7ed664fcaaccc13c046d5571dce56eec25ac80448745d280dbb5416"}}