{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:J3RIRXIXT4ZNJSHPFDH27NXRV6","short_pith_number":"pith:J3RIRXIX","schema_version":"1.0","canonical_sha256":"4ee288dd179f32d4c8ef28cfafb6f1afba9a9d9aeb51efcbd12aed2351a20318","source":{"kind":"arxiv","id":"2509.10019","version":1},"attestation_state":"computed","paper":{"title":"Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Hajime Otsuka, Ryusei Nishida, Tatsuo Kobayashi","submitted_at":"2025-09-12T07:23:04Z","abstract_excerpt":"We investigate coupling selection rules in heterotic string theory on non-Abelian orbifolds. Since boundary conditions on the orbifolds are classified by conjugacy classes of space group elements, non-Abelian orbifolds give rise to non-invertible selection rules on couplings among twisted sectors as well as ones including untwisted sectors. Furthermore, we find that non-invertible selection rules lead to characteristic patterns of Yukawa matrices."},"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":"2509.10019","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-09-12T07:23:04Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"a90d96a1664ed12c86a0e440a51665aa8a57d26b142bc5da1b65c0600b8e1e23","abstract_canon_sha256":"896b2eeea79f6882d9b2da279f8934590bccddc6619d2ff443518a81b2879073"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:09:53.778823Z","signature_b64":"jmXWvS+G+abjsKpWJgN4/uW+kfn7vxktsYq7xR9DrrnK6eaZmZhVs+Ucq4C4zszxuLxbKeqSsPhRdwlCojfsBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ee288dd179f32d4c8ef28cfafb6f1afba9a9d9aeb51efcbd12aed2351a20318","last_reissued_at":"2026-07-05T12:09:53.778242Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:09:53.778242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Hajime Otsuka, Ryusei Nishida, Tatsuo Kobayashi","submitted_at":"2025-09-12T07:23:04Z","abstract_excerpt":"We investigate coupling selection rules in heterotic string theory on non-Abelian orbifolds. Since boundary conditions on the orbifolds are classified by conjugacy classes of space group elements, non-Abelian orbifolds give rise to non-invertible selection rules on couplings among twisted sectors as well as ones including untwisted sectors. Furthermore, we find that non-invertible selection rules lead to characteristic patterns of Yukawa matrices."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.10019","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/2509.10019/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":"2509.10019","created_at":"2026-07-05T12:09:53.778323+00:00"},{"alias_kind":"arxiv_version","alias_value":"2509.10019v1","created_at":"2026-07-05T12:09:53.778323+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.10019","created_at":"2026-07-05T12:09:53.778323+00:00"},{"alias_kind":"pith_short_12","alias_value":"J3RIRXIXT4ZN","created_at":"2026-07-05T12:09:53.778323+00:00"},{"alias_kind":"pith_short_16","alias_value":"J3RIRXIXT4ZNJSHP","created_at":"2026-07-05T12:09:53.778323+00:00"},{"alias_kind":"pith_short_8","alias_value":"J3RIRXIX","created_at":"2026-07-05T12:09:53.778323+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.28141","citing_title":"More about modular symmetries and non-invertible properties in magnetized compactifications","ref_index":34,"is_internal_anchor":false},{"citing_arxiv_id":"2604.09345","citing_title":"A General Prescription for Spurion Analysis of Non-Invertible Selection Rules","ref_index":24,"is_internal_anchor":false},{"citing_arxiv_id":"2604.04423","citing_title":"Dynamical CP Violation from Non-Invertible Selection Rules","ref_index":42,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/J3RIRXIXT4ZNJSHPFDH27NXRV6","json":"https://pith.science/pith/J3RIRXIXT4ZNJSHPFDH27NXRV6.json","graph_json":"https://pith.science/api/pith-number/J3RIRXIXT4ZNJSHPFDH27NXRV6/graph.json","events_json":"https://pith.science/api/pith-number/J3RIRXIXT4ZNJSHPFDH27NXRV6/events.json","paper":"https://pith.science/paper/J3RIRXIX"},"agent_actions":{"view_html":"https://pith.science/pith/J3RIRXIXT4ZNJSHPFDH27NXRV6","download_json":"https://pith.science/pith/J3RIRXIXT4ZNJSHPFDH27NXRV6.json","view_paper":"https://pith.science/paper/J3RIRXIX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2509.10019&json=true","fetch_graph":"https://pith.science/api/pith-number/J3RIRXIXT4ZNJSHPFDH27NXRV6/graph.json","fetch_events":"https://pith.science/api/pith-number/J3RIRXIXT4ZNJSHPFDH27NXRV6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J3RIRXIXT4ZNJSHPFDH27NXRV6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J3RIRXIXT4ZNJSHPFDH27NXRV6/action/storage_attestation","attest_author":"https://pith.science/pith/J3RIRXIXT4ZNJSHPFDH27NXRV6/action/author_attestation","sign_citation":"https://pith.science/pith/J3RIRXIXT4ZNJSHPFDH27NXRV6/action/citation_signature","submit_replication":"https://pith.science/pith/J3RIRXIXT4ZNJSHPFDH27NXRV6/action/replication_record"}},"created_at":"2026-07-05T12:09:53.778323+00:00","updated_at":"2026-07-05T12:09:53.778323+00:00"}