{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:E64URMFDSZX5L2SHKUUWYM4TXK","short_pith_number":"pith:E64URMFD","schema_version":"1.0","canonical_sha256":"27b948b0a3966fd5ea4755296c3393ba8b337404b4f8c6bc36e6d411f5e924f8","source":{"kind":"arxiv","id":"2504.17296","version":4},"attestation_state":"computed","paper":{"title":"A Multiplicative Formulation of the Higgs Lagrangian and the Fermion Mass Hierarchy between the charged leptons and heavy quarks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Lunchakorn Tannukij, Sikarin Yoo-Kong, Suppanat Supanyo","submitted_at":"2025-04-24T06:46:08Z","abstract_excerpt":"We propose a multiplicative formulation of the Higgs Lagrangian, derived from the inverse problem in the calculus of variations, as an alternative framework to investigate the fermion mass hierarchy. In this setup, fermion masses emerge as discrete quantities determined by a finite set of scaling factors, thereby allowing the observed charged-lepton and heavy-quark masses to be accommodated without introducing arbitrarily small parameters. In addition, this framework admits specific solutions where the Yukawa couplings of the charged leptons and heavy quarks converge to a universal value, appr"},"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":"2504.17296","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-04-24T06:46:08Z","cross_cats_sorted":[],"title_canon_sha256":"05a7a48e202405fbb7e5732b0c02dcb5ca1cab672aca1d2b180e434da72854fd","abstract_canon_sha256":"44fe0c1747ced716d4f948e4f206f6ff38a5daca6bea14df73b5f9ce1d07cbbc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:59:13.449245Z","signature_b64":"ZiHl3ux5CmrwJZs+YzFUOJZhJYszJmHk7J2paESLFqJ1hx2r7iNaH2QVQLJHby15APuCLuDmQPLsTSjp0+dAAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27b948b0a3966fd5ea4755296c3393ba8b337404b4f8c6bc36e6d411f5e924f8","last_reissued_at":"2026-07-05T11:59:13.448772Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:59:13.448772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Multiplicative Formulation of the Higgs Lagrangian and the Fermion Mass Hierarchy between the charged leptons and heavy quarks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Lunchakorn Tannukij, Sikarin Yoo-Kong, Suppanat Supanyo","submitted_at":"2025-04-24T06:46:08Z","abstract_excerpt":"We propose a multiplicative formulation of the Higgs Lagrangian, derived from the inverse problem in the calculus of variations, as an alternative framework to investigate the fermion mass hierarchy. In this setup, fermion masses emerge as discrete quantities determined by a finite set of scaling factors, thereby allowing the observed charged-lepton and heavy-quark masses to be accommodated without introducing arbitrarily small parameters. In addition, this framework admits specific solutions where the Yukawa couplings of the charged leptons and heavy quarks converge to a universal value, appr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.17296","kind":"arxiv","version":4},"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/2504.17296/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":"2504.17296","created_at":"2026-07-05T11:59:13.448831+00:00"},{"alias_kind":"arxiv_version","alias_value":"2504.17296v4","created_at":"2026-07-05T11:59:13.448831+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.17296","created_at":"2026-07-05T11:59:13.448831+00:00"},{"alias_kind":"pith_short_12","alias_value":"E64URMFDSZX5","created_at":"2026-07-05T11:59:13.448831+00:00"},{"alias_kind":"pith_short_16","alias_value":"E64URMFDSZX5L2SH","created_at":"2026-07-05T11:59:13.448831+00:00"},{"alias_kind":"pith_short_8","alias_value":"E64URMFD","created_at":"2026-07-05T11:59:13.448831+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.04224","citing_title":"The emergence of the relativistic Lagrangian from the non-relativistic multiplicative Lagrangian","ref_index":9,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/E64URMFDSZX5L2SHKUUWYM4TXK","json":"https://pith.science/pith/E64URMFDSZX5L2SHKUUWYM4TXK.json","graph_json":"https://pith.science/api/pith-number/E64URMFDSZX5L2SHKUUWYM4TXK/graph.json","events_json":"https://pith.science/api/pith-number/E64URMFDSZX5L2SHKUUWYM4TXK/events.json","paper":"https://pith.science/paper/E64URMFD"},"agent_actions":{"view_html":"https://pith.science/pith/E64URMFDSZX5L2SHKUUWYM4TXK","download_json":"https://pith.science/pith/E64URMFDSZX5L2SHKUUWYM4TXK.json","view_paper":"https://pith.science/paper/E64URMFD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2504.17296&json=true","fetch_graph":"https://pith.science/api/pith-number/E64URMFDSZX5L2SHKUUWYM4TXK/graph.json","fetch_events":"https://pith.science/api/pith-number/E64URMFDSZX5L2SHKUUWYM4TXK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E64URMFDSZX5L2SHKUUWYM4TXK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E64URMFDSZX5L2SHKUUWYM4TXK/action/storage_attestation","attest_author":"https://pith.science/pith/E64URMFDSZX5L2SHKUUWYM4TXK/action/author_attestation","sign_citation":"https://pith.science/pith/E64URMFDSZX5L2SHKUUWYM4TXK/action/citation_signature","submit_replication":"https://pith.science/pith/E64URMFDSZX5L2SHKUUWYM4TXK/action/replication_record"}},"created_at":"2026-07-05T11:59:13.448831+00:00","updated_at":"2026-07-05T11:59:13.448831+00:00"}