{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:NANVYCNYV3UWKG5TMFM2N3XFLY","short_pith_number":"pith:NANVYCNY","schema_version":"1.0","canonical_sha256":"681b5c09b8aee9651bb36159a6eee55e33a481123bfc89eecae299ec33478086","source":{"kind":"arxiv","id":"2210.11922","version":2},"attestation_state":"computed","paper":{"title":"The $\\mu$-$\\tau$ reflection symmetry of Majorana neutrinos","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Zhi-zhong Xing","submitted_at":"2022-10-21T12:47:31Z","abstract_excerpt":"The observed pattern of lepton flavor mixing and CP violation strongly indicates the possible existence of a simple flavor symmetry in the neutrino sector -- the effective Majorana neutrino mass term keeps invariant when the three left-handed neutrino fields transform as $\\nu^{}_{e \\rm L} \\to (\\nu^{}_{e \\rm L})^c$, $\\nu^{}_{\\mu \\rm L} \\to (\\nu^{}_{\\tau \\rm L})^c$ and $\\nu^{}_{\\tau \\rm L} \\to (\\nu^{}_{\\mu \\rm L})^c$. A direct application of such a $\\mu$-$\\tau$ reflection symmetry to the canonical seesaw mechanism can help a lot to constrain the flavor textures of active and sterile Majorana neu"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2210.11922","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-10-21T12:47:31Z","cross_cats_sorted":[],"title_canon_sha256":"492435d8ad2174e5d720247546b5c8e772b1990164f74c430be4c4463d030990","abstract_canon_sha256":"7810b1be25b65f018a01ec4c484218d3b6baae0c17271241f04018b324cf4d8d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:21:54.296591Z","signature_b64":"aS1lFNoogjLMzvhtdJJa5dcmrxa4RIoD9YffxXFaLCXrbDxI7958Ls3nlXayu076/8qRiTvh2bfuRU1VKR5vAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"681b5c09b8aee9651bb36159a6eee55e33a481123bfc89eecae299ec33478086","last_reissued_at":"2026-07-05T06:21:54.296141Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:21:54.296141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The $\\mu$-$\\tau$ reflection symmetry of Majorana neutrinos","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Zhi-zhong Xing","submitted_at":"2022-10-21T12:47:31Z","abstract_excerpt":"The observed pattern of lepton flavor mixing and CP violation strongly indicates the possible existence of a simple flavor symmetry in the neutrino sector -- the effective Majorana neutrino mass term keeps invariant when the three left-handed neutrino fields transform as $\\nu^{}_{e \\rm L} \\to (\\nu^{}_{e \\rm L})^c$, $\\nu^{}_{\\mu \\rm L} \\to (\\nu^{}_{\\tau \\rm L})^c$ and $\\nu^{}_{\\tau \\rm L} \\to (\\nu^{}_{\\mu \\rm L})^c$. A direct application of such a $\\mu$-$\\tau$ reflection symmetry to the canonical seesaw mechanism can help a lot to constrain the flavor textures of active and sterile Majorana neu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.11922","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/2210.11922/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2210.11922","created_at":"2026-07-05T06:21:54.296198+00:00"},{"alias_kind":"arxiv_version","alias_value":"2210.11922v2","created_at":"2026-07-05T06:21:54.296198+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.11922","created_at":"2026-07-05T06:21:54.296198+00:00"},{"alias_kind":"pith_short_12","alias_value":"NANVYCNYV3UW","created_at":"2026-07-05T06:21:54.296198+00:00"},{"alias_kind":"pith_short_16","alias_value":"NANVYCNYV3UWKG5T","created_at":"2026-07-05T06:21:54.296198+00:00"},{"alias_kind":"pith_short_8","alias_value":"NANVYCNY","created_at":"2026-07-05T06:21:54.296198+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.02034","citing_title":"The $\\mu-\\tau$ Counter Reflection Symmetry","ref_index":7,"is_internal_anchor":false},{"citing_arxiv_id":"2511.08679","citing_title":"Hunting for Neutrino Texture Zeros with Muon and Tau Flavor Violation","ref_index":131,"is_internal_anchor":false},{"citing_arxiv_id":"2511.15127","citing_title":"Potential divergence in tracing $\\mu$ and $\\tau$ flavors of astrophysical neutrinos","ref_index":32,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NANVYCNYV3UWKG5TMFM2N3XFLY","json":"https://pith.science/pith/NANVYCNYV3UWKG5TMFM2N3XFLY.json","graph_json":"https://pith.science/api/pith-number/NANVYCNYV3UWKG5TMFM2N3XFLY/graph.json","events_json":"https://pith.science/api/pith-number/NANVYCNYV3UWKG5TMFM2N3XFLY/events.json","paper":"https://pith.science/paper/NANVYCNY"},"agent_actions":{"view_html":"https://pith.science/pith/NANVYCNYV3UWKG5TMFM2N3XFLY","download_json":"https://pith.science/pith/NANVYCNYV3UWKG5TMFM2N3XFLY.json","view_paper":"https://pith.science/paper/NANVYCNY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2210.11922&json=true","fetch_graph":"https://pith.science/api/pith-number/NANVYCNYV3UWKG5TMFM2N3XFLY/graph.json","fetch_events":"https://pith.science/api/pith-number/NANVYCNYV3UWKG5TMFM2N3XFLY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NANVYCNYV3UWKG5TMFM2N3XFLY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NANVYCNYV3UWKG5TMFM2N3XFLY/action/storage_attestation","attest_author":"https://pith.science/pith/NANVYCNYV3UWKG5TMFM2N3XFLY/action/author_attestation","sign_citation":"https://pith.science/pith/NANVYCNYV3UWKG5TMFM2N3XFLY/action/citation_signature","submit_replication":"https://pith.science/pith/NANVYCNYV3UWKG5TMFM2N3XFLY/action/replication_record"}},"created_at":"2026-07-05T06:21:54.296198+00:00","updated_at":"2026-07-05T06:21:54.296198+00:00"}