{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:2GMH3WPNOHGDZULPYPW5WDPHHW","short_pith_number":"pith:2GMH3WPN","schema_version":"1.0","canonical_sha256":"d1987dd9ed71cc3cd16fc3eddb0de73d82faa3cc1ddb8625c155960ee3720b3b","source":{"kind":"arxiv","id":"2502.08250","version":3},"attestation_state":"computed","paper":{"title":"Models with rank-reducing discrete boundary conditions on $T^2/{\\mathbb Z}_4$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Eiji Kodaira, Kentaro Kojima, Toshifumi Yamashita, Yoshiharu Kawamura","submitted_at":"2025-02-12T09:45:17Z","abstract_excerpt":"We study six-dimensional $SU(n)$ gauge models with rank-reducing discrete boundary conditions on the orbifold $T^2/{\\mathbb Z}_4$, without and with continuous Wilson line phases. For the latter case, we find that a minimal model can describe the breakdown of the electroweak symmetry based on an $SU(6)$ gauge group. This model possesses excellent features that two Higgs doublets come from the zero modes of the extra-dimensional gauge field, and the quarks in each generation can be unified into one multiplet, without exotic quarks, as the zero modes of a bulk field in the $\\boldsymbol{15}$ repre"},"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":"2502.08250","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-02-12T09:45:17Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c41c491ead5129ba2d75ae5cb6428caee6d44d9b16e8dd9fb9798eb057b6d260","abstract_canon_sha256":"5fa0396e512f3fb87e966c77ec2fc9272c9baaa0797cbe7466c08a66b73543ad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:22:36.587671Z","signature_b64":"J/6Tqfpwts8NNE8etyIefndgRSlInEofYdzw7ncDUjjlvrS6rJoacuWhLs4mkj070+2X9TtXBqGfbOpC/30dCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1987dd9ed71cc3cd16fc3eddb0de73d82faa3cc1ddb8625c155960ee3720b3b","last_reissued_at":"2026-07-05T11:22:36.587173Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:22:36.587173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Models with rank-reducing discrete boundary conditions on $T^2/{\\mathbb Z}_4$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Eiji Kodaira, Kentaro Kojima, Toshifumi Yamashita, Yoshiharu Kawamura","submitted_at":"2025-02-12T09:45:17Z","abstract_excerpt":"We study six-dimensional $SU(n)$ gauge models with rank-reducing discrete boundary conditions on the orbifold $T^2/{\\mathbb Z}_4$, without and with continuous Wilson line phases. For the latter case, we find that a minimal model can describe the breakdown of the electroweak symmetry based on an $SU(6)$ gauge group. This model possesses excellent features that two Higgs doublets come from the zero modes of the extra-dimensional gauge field, and the quarks in each generation can be unified into one multiplet, without exotic quarks, as the zero modes of a bulk field in the $\\boldsymbol{15}$ repre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.08250","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.08250/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":"2502.08250","created_at":"2026-07-05T11:22:36.587230+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.08250v3","created_at":"2026-07-05T11:22:36.587230+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.08250","created_at":"2026-07-05T11:22:36.587230+00:00"},{"alias_kind":"pith_short_12","alias_value":"2GMH3WPNOHGD","created_at":"2026-07-05T11:22:36.587230+00:00"},{"alias_kind":"pith_short_16","alias_value":"2GMH3WPNOHGDZULP","created_at":"2026-07-05T11:22:36.587230+00:00"},{"alias_kind":"pith_short_8","alias_value":"2GMH3WPN","created_at":"2026-07-05T11:22:36.587230+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2GMH3WPNOHGDZULPYPW5WDPHHW","json":"https://pith.science/pith/2GMH3WPNOHGDZULPYPW5WDPHHW.json","graph_json":"https://pith.science/api/pith-number/2GMH3WPNOHGDZULPYPW5WDPHHW/graph.json","events_json":"https://pith.science/api/pith-number/2GMH3WPNOHGDZULPYPW5WDPHHW/events.json","paper":"https://pith.science/paper/2GMH3WPN"},"agent_actions":{"view_html":"https://pith.science/pith/2GMH3WPNOHGDZULPYPW5WDPHHW","download_json":"https://pith.science/pith/2GMH3WPNOHGDZULPYPW5WDPHHW.json","view_paper":"https://pith.science/paper/2GMH3WPN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.08250&json=true","fetch_graph":"https://pith.science/api/pith-number/2GMH3WPNOHGDZULPYPW5WDPHHW/graph.json","fetch_events":"https://pith.science/api/pith-number/2GMH3WPNOHGDZULPYPW5WDPHHW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2GMH3WPNOHGDZULPYPW5WDPHHW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2GMH3WPNOHGDZULPYPW5WDPHHW/action/storage_attestation","attest_author":"https://pith.science/pith/2GMH3WPNOHGDZULPYPW5WDPHHW/action/author_attestation","sign_citation":"https://pith.science/pith/2GMH3WPNOHGDZULPYPW5WDPHHW/action/citation_signature","submit_replication":"https://pith.science/pith/2GMH3WPNOHGDZULPYPW5WDPHHW/action/replication_record"}},"created_at":"2026-07-05T11:22:36.587230+00:00","updated_at":"2026-07-05T11:22:36.587230+00:00"}