{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:IXKFJUVB2Z47FT2TYA56WRTU4I","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":"8db81bca85167eddaf11e963f78352fde1611a6753aa8966319def3baf8bbcf4","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-04-03T15:32:25Z","title_canon_sha256":"eeefb313dea68d84e9468137cc7be3f6923a4b56511c73f9496ac7cb384cec98"},"schema_version":"1.0","source":{"id":"hep-ph/0604009","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0604009","created_at":"2026-07-04T17:01:42Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0604009v2","created_at":"2026-07-04T17:01:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0604009","created_at":"2026-07-04T17:01:42Z"},{"alias_kind":"pith_short_12","alias_value":"IXKFJUVB2Z47","created_at":"2026-07-04T17:01:42Z"},{"alias_kind":"pith_short_16","alias_value":"IXKFJUVB2Z47FT2T","created_at":"2026-07-04T17:01:42Z"},{"alias_kind":"pith_short_8","alias_value":"IXKFJUVB","created_at":"2026-07-04T17:01:42Z"}],"graph_snapshots":[{"event_id":"sha256:fa09a7322b42e6c5a1463eb5375783e855824e3891f58f7418e8a5b301713c47","target":"graph","created_at":"2026-07-04T17:01:42Z","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/0604009/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Continuous $U(1)_{L_\\mu-L_\\tau}$ symmetry can generate quasi degenerate mass spectrum for both left handed light and right handed heavy Majorana neutrinos assuming that the symmetry preserving non zero parameters are nearly same. There is an accidental $\\mu\\tau$ exchange symmetry in the light and heavy neutrino Majorana mass terms. This implies $\\theta_{13}=0$ and $\\theta_{23}=\\frac{\\pi}{4}$. In addition it generates another zero mixing angle and one zero mass difference. We restrict ourselves to type-I See-Saw mechanism for generation of light neutrino mass. We have found that under $U(1)_{L_","authors_text":"Biswajit Adhikary","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2006-04-03T15:32:25Z","title":"Soft breaking of $L_\\mu-L_\\tau$ symmetry: Light neutrino spectrum and Leptogenesis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0604009","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":"sha256:216cbc63f0018d527a100b4297481e96d519c5d15df7997ea49726fc752e4f68","target":"record","created_at":"2026-07-04T17:01:42Z","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":"8db81bca85167eddaf11e963f78352fde1611a6753aa8966319def3baf8bbcf4","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-04-03T15:32:25Z","title_canon_sha256":"eeefb313dea68d84e9468137cc7be3f6923a4b56511c73f9496ac7cb384cec98"},"schema_version":"1.0","source":{"id":"hep-ph/0604009","kind":"arxiv","version":2}},"canonical_sha256":"45d454d2a1d679f2cf53c03beb4674e21bd134a63b489955b287f9a459fd134a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45d454d2a1d679f2cf53c03beb4674e21bd134a63b489955b287f9a459fd134a","first_computed_at":"2026-07-04T17:01:42.743408Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:01:42.743408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oBvbaquw5gpLsKs3WNpUP0tpg6DPAADi8uxsfgh0sEV8OQK/JmYIAnqLFW0hnVQvmLqq3uEjsyatxLefnZcMDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:01:42.743843Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0604009","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:216cbc63f0018d527a100b4297481e96d519c5d15df7997ea49726fc752e4f68","sha256:fa09a7322b42e6c5a1463eb5375783e855824e3891f58f7418e8a5b301713c47"],"state_sha256":"9a15b76b72d8218cb8af86aa338deb2378e4392486b3085f52a0b954cd6f428a"}