{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:MB4FJOTOW3L7YAFMTS5LMC3MB2","short_pith_number":"pith:MB4FJOTO","canonical_record":{"source":{"id":"hep-ph/0607091","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-07-09T02:59:43Z","cross_cats_sorted":[],"title_canon_sha256":"1cc8b0bc37c6840d3ef03682931f59af7c570b91ad527b1d870c1a9b599fa589","abstract_canon_sha256":"ca6ca824f262b0438cf5da12fe1ce8524b95da43d080ea63d23d11c56b8b2128"},"schema_version":"1.0"},"canonical_sha256":"607854ba6eb6d7fc00ac9cbab60b6c0eacc123a23ffa0c67af3926762af9daf3","source":{"kind":"arxiv","id":"hep-ph/0607091","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0607091","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0607091v3","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0607091","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"pith_short_12","alias_value":"MB4FJOTOW3L7","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"MB4FJOTOW3L7YAFM","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"MB4FJOTO","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:MB4FJOTOW3L7YAFMTS5LMC3MB2","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0607091","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-07-09T02:59:43Z","cross_cats_sorted":[],"title_canon_sha256":"1cc8b0bc37c6840d3ef03682931f59af7c570b91ad527b1d870c1a9b599fa589","abstract_canon_sha256":"ca6ca824f262b0438cf5da12fe1ce8524b95da43d080ea63d23d11c56b8b2128"},"schema_version":"1.0"},"canonical_sha256":"607854ba6eb6d7fc00ac9cbab60b6c0eacc123a23ffa0c67af3926762af9daf3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:36:13.562649Z","signature_b64":"8rJyVtDegiWj4C2xYVl0tHBuG+td2mz2PjpCRuLnJSKWrNvyK0rbReiSVC64ElgPh31ioE+1dHt12Av1wFSTBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"607854ba6eb6d7fc00ac9cbab60b6c0eacc123a23ffa0c67af3926762af9daf3","last_reissued_at":"2026-05-18T02:36:13.562218Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:36:13.562218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0607091","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:36:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sx+mNYOslEkaSspKaLeBEJ+XyjUA+ZlKnJwTQlNQfYAdzj7PBehWjQ4/nJWvsBRtVIn6k87XqYq8N8PHAg2RBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T05:07:38.000556Z"},"content_sha256":"9eb579a7386d52fe066af69af3b81b5707a16436acacbfb8c3ae5e893b290f5b","schema_version":"1.0","event_id":"sha256:9eb579a7386d52fe066af69af3b81b5707a16436acacbfb8c3ae5e893b290f5b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:MB4FJOTOW3L7YAFMTS5LMC3MB2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nearly Tri-bimaximal Neutrino Mixing and CP Violation from mu-tau Symmetry Breaking","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"He Zhang, Shun Zhou, Zhi-zhong Xing","submitted_at":"2006-07-09T02:59:43Z","abstract_excerpt":"Assuming the Majorana nature of massive neutrinos, we generalize the Friedberg-Lee neutrino mass model to include CP violation in the neutrino mass matrix $M^{}_\\nu$. We show that a favorable neutrino mixing pattern (with $\\theta^{}_{12} \\approx 35.3^\\circ$, $\\theta^{}_{23} = 45^\\circ$, $\\theta^{}_{13} \\neq 0^\\circ$ and $\\delta = 90^\\circ$) can naturally be derived from $M^{}_\\nu$, if it has an approximate or softly-broken $\\mu$-$\\tau$ symmetry. We point out a different way to obtain the nearly tri-bimaximal neutrino mixing with $\\delta = 0^\\circ$ and non-vanishing Majorana phases. The most ge"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0607091","kind":"arxiv","version":3},"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":"2026-05-18T02:36:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vy27SaFRaTbA7Rf4HhvN25RGRMYOEm4NMj7eXHxK4xD28IP5KOzG6DxqcZb8Pppe2PcWPl88ejyert50B/RNDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T05:07:38.001090Z"},"content_sha256":"0b1c2a6eb0d7d7e24600eacc961a2659688c9deb457581c01698f8aa5c985ab2","schema_version":"1.0","event_id":"sha256:0b1c2a6eb0d7d7e24600eacc961a2659688c9deb457581c01698f8aa5c985ab2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MB4FJOTOW3L7YAFMTS5LMC3MB2/bundle.json","state_url":"https://pith.science/pith/MB4FJOTOW3L7YAFMTS5LMC3MB2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MB4FJOTOW3L7YAFMTS5LMC3MB2/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":"2026-05-24T05:07:38Z","links":{"resolver":"https://pith.science/pith/MB4FJOTOW3L7YAFMTS5LMC3MB2","bundle":"https://pith.science/pith/MB4FJOTOW3L7YAFMTS5LMC3MB2/bundle.json","state":"https://pith.science/pith/MB4FJOTOW3L7YAFMTS5LMC3MB2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MB4FJOTOW3L7YAFMTS5LMC3MB2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:MB4FJOTOW3L7YAFMTS5LMC3MB2","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":"ca6ca824f262b0438cf5da12fe1ce8524b95da43d080ea63d23d11c56b8b2128","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-07-09T02:59:43Z","title_canon_sha256":"1cc8b0bc37c6840d3ef03682931f59af7c570b91ad527b1d870c1a9b599fa589"},"schema_version":"1.0","source":{"id":"hep-ph/0607091","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0607091","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0607091v3","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0607091","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"pith_short_12","alias_value":"MB4FJOTOW3L7","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"MB4FJOTOW3L7YAFM","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"MB4FJOTO","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:0b1c2a6eb0d7d7e24600eacc961a2659688c9deb457581c01698f8aa5c985ab2","target":"graph","created_at":"2026-05-18T02:36:13Z","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":"Assuming the Majorana nature of massive neutrinos, we generalize the Friedberg-Lee neutrino mass model to include CP violation in the neutrino mass matrix $M^{}_\\nu$. We show that a favorable neutrino mixing pattern (with $\\theta^{}_{12} \\approx 35.3^\\circ$, $\\theta^{}_{23} = 45^\\circ$, $\\theta^{}_{13} \\neq 0^\\circ$ and $\\delta = 90^\\circ$) can naturally be derived from $M^{}_\\nu$, if it has an approximate or softly-broken $\\mu$-$\\tau$ symmetry. We point out a different way to obtain the nearly tri-bimaximal neutrino mixing with $\\delta = 0^\\circ$ and non-vanishing Majorana phases. The most ge","authors_text":"He Zhang, Shun Zhou, Zhi-zhong Xing","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2006-07-09T02:59:43Z","title":"Nearly Tri-bimaximal Neutrino Mixing and CP Violation from mu-tau Symmetry Breaking"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0607091","kind":"arxiv","version":3},"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":"sha256:9eb579a7386d52fe066af69af3b81b5707a16436acacbfb8c3ae5e893b290f5b","target":"record","created_at":"2026-05-18T02:36:13Z","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":"ca6ca824f262b0438cf5da12fe1ce8524b95da43d080ea63d23d11c56b8b2128","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-07-09T02:59:43Z","title_canon_sha256":"1cc8b0bc37c6840d3ef03682931f59af7c570b91ad527b1d870c1a9b599fa589"},"schema_version":"1.0","source":{"id":"hep-ph/0607091","kind":"arxiv","version":3}},"canonical_sha256":"607854ba6eb6d7fc00ac9cbab60b6c0eacc123a23ffa0c67af3926762af9daf3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"607854ba6eb6d7fc00ac9cbab60b6c0eacc123a23ffa0c67af3926762af9daf3","first_computed_at":"2026-05-18T02:36:13.562218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:13.562218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8rJyVtDegiWj4C2xYVl0tHBuG+td2mz2PjpCRuLnJSKWrNvyK0rbReiSVC64ElgPh31ioE+1dHt12Av1wFSTBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:13.562649Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0607091","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9eb579a7386d52fe066af69af3b81b5707a16436acacbfb8c3ae5e893b290f5b","sha256:0b1c2a6eb0d7d7e24600eacc961a2659688c9deb457581c01698f8aa5c985ab2"],"state_sha256":"1f8f78e24829c40411cf7cc89b2e0cab9e47cf9182fcae2eed28ee960ae3c2bf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CKjw8A1NgKmDLdZNdvKYxY/80T/esXjli/wSiaFdnp6OsXoSqGg6uwNkar272CyIrjIC/JGmGgkPcMPpY5oOCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T05:07:38.003982Z","bundle_sha256":"5503fdd63d8adc645646dbdba05376550f50155ef3ed5dc4b18c9131a473cd04"}}