{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:NSVGGPG4VMSWVEQJU4JMIV5HAD","short_pith_number":"pith:NSVGGPG4","schema_version":"1.0","canonical_sha256":"6caa633cdcab256a9209a712c457a700c272165d1e7ae62e1986f98bdada2acf","source":{"kind":"arxiv","id":"2309.11547","version":1},"attestation_state":"computed","paper":{"title":"Rising Through the Ranks: Flavor Hierarchies from a Gauged SU(2) Symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Admir Greljo, Anders Eller Thomsen","submitted_at":"2023-09-20T18:00:02Z","abstract_excerpt":"We propose an economical model to address the mass hierarchies of quarks and charged leptons. The light generations of the left-handed fermions form doublets under an $ \\mathrm{SU}(2) $ flavor symmetry, which is gauged. The generational hierarchies emerge from three independent rank-one contributions to the Yukawa matrices: one is a renormalizable contribution, the second is suppressed by a mass ratio, and the last by an additional loop factor. The model is renormalizable and features only a handful of new fields and is remarkably simple compared to typical completions of gauged flavor symmetr"},"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":"2309.11547","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-09-20T18:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"e4c3a6f910ddd689f63bc0283e268c60d9da1e810c9061ddfd1b4d0be75eddba","abstract_canon_sha256":"244d8db2af8098f4097926dfe2d1dd3ef425da918aeac15062141183e38ec03f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:52:51.460406Z","signature_b64":"fh/dLExFlUutEo33xrWV1Fwr3j6QzhiRT2oxTI6NGV/lxaqngDxpgIMSvv1Byl+pVvovcGrCtvAXtU6acYw4Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6caa633cdcab256a9209a712c457a700c272165d1e7ae62e1986f98bdada2acf","last_reissued_at":"2026-07-05T06:52:51.459940Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:52:51.459940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rising Through the Ranks: Flavor Hierarchies from a Gauged SU(2) Symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Admir Greljo, Anders Eller Thomsen","submitted_at":"2023-09-20T18:00:02Z","abstract_excerpt":"We propose an economical model to address the mass hierarchies of quarks and charged leptons. The light generations of the left-handed fermions form doublets under an $ \\mathrm{SU}(2) $ flavor symmetry, which is gauged. The generational hierarchies emerge from three independent rank-one contributions to the Yukawa matrices: one is a renormalizable contribution, the second is suppressed by a mass ratio, and the last by an additional loop factor. The model is renormalizable and features only a handful of new fields and is remarkably simple compared to typical completions of gauged flavor symmetr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.11547","kind":"arxiv","version":1},"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/2309.11547/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":"2309.11547","created_at":"2026-07-05T06:52:51.459992+00:00"},{"alias_kind":"arxiv_version","alias_value":"2309.11547v1","created_at":"2026-07-05T06:52:51.459992+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.11547","created_at":"2026-07-05T06:52:51.459992+00:00"},{"alias_kind":"pith_short_12","alias_value":"NSVGGPG4VMSW","created_at":"2026-07-05T06:52:51.459992+00:00"},{"alias_kind":"pith_short_16","alias_value":"NSVGGPG4VMSWVEQJ","created_at":"2026-07-05T06:52:51.459992+00:00"},{"alias_kind":"pith_short_8","alias_value":"NSVGGPG4","created_at":"2026-07-05T06:52:51.459992+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":7,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.12298","citing_title":"The KSVZ Atlas: A Unified SMEFT-ALP Framework","ref_index":55,"is_internal_anchor":false},{"citing_arxiv_id":"2606.05291","citing_title":"The Future of Lepton Flavor","ref_index":78,"is_internal_anchor":false},{"citing_arxiv_id":"2605.20336","citing_title":"Gauged Flavour for Asymmetric Dark Matter","ref_index":44,"is_internal_anchor":false},{"citing_arxiv_id":"2510.03403","citing_title":"Flavor hierarchies with nonminimal irreducible representations","ref_index":17,"is_internal_anchor":false},{"citing_arxiv_id":"2605.20332","citing_title":"Cosmological History of Flavour Deconstruction Models: Constraints from Monopole Production","ref_index":44,"is_internal_anchor":false},{"citing_arxiv_id":"2605.20336","citing_title":"Gauged Flavour for Asymmetric Dark Matter","ref_index":44,"is_internal_anchor":false},{"citing_arxiv_id":"2605.15267","citing_title":"Hierarchies from Higher Flavor Spin","ref_index":20,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NSVGGPG4VMSWVEQJU4JMIV5HAD","json":"https://pith.science/pith/NSVGGPG4VMSWVEQJU4JMIV5HAD.json","graph_json":"https://pith.science/api/pith-number/NSVGGPG4VMSWVEQJU4JMIV5HAD/graph.json","events_json":"https://pith.science/api/pith-number/NSVGGPG4VMSWVEQJU4JMIV5HAD/events.json","paper":"https://pith.science/paper/NSVGGPG4"},"agent_actions":{"view_html":"https://pith.science/pith/NSVGGPG4VMSWVEQJU4JMIV5HAD","download_json":"https://pith.science/pith/NSVGGPG4VMSWVEQJU4JMIV5HAD.json","view_paper":"https://pith.science/paper/NSVGGPG4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2309.11547&json=true","fetch_graph":"https://pith.science/api/pith-number/NSVGGPG4VMSWVEQJU4JMIV5HAD/graph.json","fetch_events":"https://pith.science/api/pith-number/NSVGGPG4VMSWVEQJU4JMIV5HAD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NSVGGPG4VMSWVEQJU4JMIV5HAD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NSVGGPG4VMSWVEQJU4JMIV5HAD/action/storage_attestation","attest_author":"https://pith.science/pith/NSVGGPG4VMSWVEQJU4JMIV5HAD/action/author_attestation","sign_citation":"https://pith.science/pith/NSVGGPG4VMSWVEQJU4JMIV5HAD/action/citation_signature","submit_replication":"https://pith.science/pith/NSVGGPG4VMSWVEQJU4JMIV5HAD/action/replication_record"}},"created_at":"2026-07-05T06:52:51.459992+00:00","updated_at":"2026-07-05T06:52:51.459992+00:00"}