{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:5EWLFSOAY6664WI3MB3JZRWJ27","short_pith_number":"pith:5EWLFSOA","canonical_record":{"source":{"id":"hep-ph/0702286","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-02-28T07:48:37Z","cross_cats_sorted":[],"title_canon_sha256":"15c8e7df05d7c386d7259217c5451a03c04735dcffd471e1d081fae6fb58c926","abstract_canon_sha256":"5d6018fad8e165752911761ee75a3285bc4abff8eb229317671c71cb5f341ae9"},"schema_version":"1.0"},"canonical_sha256":"e92cb2c9c0c7bdee591b60769cc6c9d7e28f6d52a2e6d1569b12d9c6c3bf6858","source":{"kind":"arxiv","id":"hep-ph/0702286","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0702286","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0702286v2","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0702286","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"pith_short_12","alias_value":"5EWLFSOAY666","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"5EWLFSOAY6664WI3","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"5EWLFSOA","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:5EWLFSOAY6664WI3MB3JZRWJ27","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0702286","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-02-28T07:48:37Z","cross_cats_sorted":[],"title_canon_sha256":"15c8e7df05d7c386d7259217c5451a03c04735dcffd471e1d081fae6fb58c926","abstract_canon_sha256":"5d6018fad8e165752911761ee75a3285bc4abff8eb229317671c71cb5f341ae9"},"schema_version":"1.0"},"canonical_sha256":"e92cb2c9c0c7bdee591b60769cc6c9d7e28f6d52a2e6d1569b12d9c6c3bf6858","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:38.327965Z","signature_b64":"w3B5ynWNMO1voP1NDbslf4qjxltzVBAzozysuASZ8KLjblRPBzQBBgKWj/ks/p0rOLwGTemuBUKESM2B9PEDBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e92cb2c9c0c7bdee591b60769cc6c9d7e28f6d52a2e6d1569b12d9c6c3bf6858","last_reissued_at":"2026-05-18T04:38:38.327183Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:38.327183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0702286","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":"2026-05-18T04:38:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1BZ+SVJVKtRQP0N+8uWTdetH9xQX9PTLnG4Xj6ukWXR+bp+QcRllsAWn+WE73o97/fNDD8JzLNIIMP7Fz57+AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T11:48:57.239351Z"},"content_sha256":"4b04cebee35a2036e0bb2d323686e77c995625a7e221b329df3c450c57bdfc30","schema_version":"1.0","event_id":"sha256:4b04cebee35a2036e0bb2d323686e77c995625a7e221b329df3c450c57bdfc30"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:5EWLFSOAY6664WI3MB3JZRWJ27","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Neutrino Mixing Sum Rules and Oscillation Experiments","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"P. Huber, S. Antusch, S. F. King, T. Schwetz","submitted_at":"2007-02-28T07:48:37Z","abstract_excerpt":"The neutrino mixing sum rule $\\theta_{12} - \\theta_{13}\\cos(\\delta) \\approx \\theta^\\nu_{12}$ provides a possibility to explore the structure of the neutrino mass matrix in the presence of charged lepton corrections, since it relates the 1-2 mixing angle from the neutrino mass matrix, $\\theta_{12}^\\nu$, to observable parameters of the PMNS mixing matrix. The neutrino mixing sum rule holds if the charged lepton mixing angles are CKM-like, i.e., small and dominated by a 1-2 mixing, and for small 1-3 mixing in the neutrino mass matrix. These conditions hold in a wide class of well motivated flavou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0702286","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:38:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WA6H34Xh0pyZpy0xpeaLS6FM6iIc8gUdvMrBh1IdRMYgCzwXvIbre8iY5Qej84c9mT1SMCsCoI7B1n7pva0ECw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T11:48:57.239703Z"},"content_sha256":"239b0dfeb9e150b6137fed38f1178b7263fc393374a261eadbd04dfc2c35b24e","schema_version":"1.0","event_id":"sha256:239b0dfeb9e150b6137fed38f1178b7263fc393374a261eadbd04dfc2c35b24e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5EWLFSOAY6664WI3MB3JZRWJ27/bundle.json","state_url":"https://pith.science/pith/5EWLFSOAY6664WI3MB3JZRWJ27/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5EWLFSOAY6664WI3MB3JZRWJ27/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":"2026-05-19T11:48:57Z","links":{"resolver":"https://pith.science/pith/5EWLFSOAY6664WI3MB3JZRWJ27","bundle":"https://pith.science/pith/5EWLFSOAY6664WI3MB3JZRWJ27/bundle.json","state":"https://pith.science/pith/5EWLFSOAY6664WI3MB3JZRWJ27/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5EWLFSOAY6664WI3MB3JZRWJ27/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:5EWLFSOAY6664WI3MB3JZRWJ27","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":"5d6018fad8e165752911761ee75a3285bc4abff8eb229317671c71cb5f341ae9","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-02-28T07:48:37Z","title_canon_sha256":"15c8e7df05d7c386d7259217c5451a03c04735dcffd471e1d081fae6fb58c926"},"schema_version":"1.0","source":{"id":"hep-ph/0702286","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0702286","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0702286v2","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0702286","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"pith_short_12","alias_value":"5EWLFSOAY666","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"5EWLFSOAY6664WI3","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"5EWLFSOA","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:239b0dfeb9e150b6137fed38f1178b7263fc393374a261eadbd04dfc2c35b24e","target":"graph","created_at":"2026-05-18T04:38:38Z","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 neutrino mixing sum rule $\\theta_{12} - \\theta_{13}\\cos(\\delta) \\approx \\theta^\\nu_{12}$ provides a possibility to explore the structure of the neutrino mass matrix in the presence of charged lepton corrections, since it relates the 1-2 mixing angle from the neutrino mass matrix, $\\theta_{12}^\\nu$, to observable parameters of the PMNS mixing matrix. The neutrino mixing sum rule holds if the charged lepton mixing angles are CKM-like, i.e., small and dominated by a 1-2 mixing, and for small 1-3 mixing in the neutrino mass matrix. These conditions hold in a wide class of well motivated flavou","authors_text":"P. Huber, S. Antusch, S. F. King, T. Schwetz","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2007-02-28T07:48:37Z","title":"Neutrino Mixing Sum Rules and Oscillation Experiments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0702286","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":"sha256:4b04cebee35a2036e0bb2d323686e77c995625a7e221b329df3c450c57bdfc30","target":"record","created_at":"2026-05-18T04:38:38Z","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":"5d6018fad8e165752911761ee75a3285bc4abff8eb229317671c71cb5f341ae9","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-02-28T07:48:37Z","title_canon_sha256":"15c8e7df05d7c386d7259217c5451a03c04735dcffd471e1d081fae6fb58c926"},"schema_version":"1.0","source":{"id":"hep-ph/0702286","kind":"arxiv","version":2}},"canonical_sha256":"e92cb2c9c0c7bdee591b60769cc6c9d7e28f6d52a2e6d1569b12d9c6c3bf6858","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e92cb2c9c0c7bdee591b60769cc6c9d7e28f6d52a2e6d1569b12d9c6c3bf6858","first_computed_at":"2026-05-18T04:38:38.327183Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:38.327183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w3B5ynWNMO1voP1NDbslf4qjxltzVBAzozysuASZ8KLjblRPBzQBBgKWj/ks/p0rOLwGTemuBUKESM2B9PEDBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:38.327965Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0702286","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b04cebee35a2036e0bb2d323686e77c995625a7e221b329df3c450c57bdfc30","sha256:239b0dfeb9e150b6137fed38f1178b7263fc393374a261eadbd04dfc2c35b24e"],"state_sha256":"aab208757c1565babd2c15186383c442b6cb5d5d9941ba6da00fca0917b964b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fIXRg4kxruJmWJeCo9qpGAkeJCpWdAEmVbmrJYa43WQQVNcg2QV34DG/Sbj6iUeQ19Oe61Q9hRQfUrxwJsruBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T11:48:57.357205Z","bundle_sha256":"b570598733ab54f24395ca289b932046d2efa59f82fc2e31e1707e5181763dea"}}