{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:OHX7FS6IFBUI4NRST5KY7FK6YH","short_pith_number":"pith:OHX7FS6I","schema_version":"1.0","canonical_sha256":"71eff2cbc828688e36329f558f955ec1fee7b001e81e7d0dbceb9953c2dda641","source":{"kind":"arxiv","id":"hep-ph/0204097","version":4},"attestation_state":"computed","paper":{"title":"SO(10) a la Pati-Salam","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Aarti Girdhar, Charanjit S. Aulakh","submitted_at":"2002-04-09T05:55:39Z","abstract_excerpt":"We present rules for rewriting SO(10) tensor and spinor invariants in terms of invariants of its ``Pati-Salam'' maximal subgroup (SU(4)$\\times \\rm{SU(2)}_L\\times \\rm{SU(2)}_R)$ supplemented by the discrete symmetry called D parity. Explicit decompositions of quadratic and cubic invariants relevant to GUT model building are presented and the role of D parity in organizing the terms explained. Our rules provide a complete and explicit method for obtaining the \"Clebsch-Gordon\" Coefficients for $SO(10)\\leftrightarrow G_{PS}$ in a notation appropriate for field theory models. We illustrate the usef"},"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":"hep-ph/0204097","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-04-09T05:55:39Z","cross_cats_sorted":[],"title_canon_sha256":"2c82a4640ad1e4e9ca2dfb7a440e98f99bcfd0572a3bd7147ff4f2111602ad94","abstract_canon_sha256":"15898cac0ebbce5c41626f480f8c65aeff3eef24ee8db183499d8ce004dc68c8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:29:52.630563Z","signature_b64":"uEBTTDqsEN/AcW662641Aw7Uz7fwHZJ/R0rsQVZyVEazgAMszd1ZYB3jbjsa+v4/25HaLQp0qwP0yAv56K/pCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71eff2cbc828688e36329f558f955ec1fee7b001e81e7d0dbceb9953c2dda641","last_reissued_at":"2026-05-18T04:29:52.630084Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:29:52.630084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"SO(10) a la Pati-Salam","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Aarti Girdhar, Charanjit S. Aulakh","submitted_at":"2002-04-09T05:55:39Z","abstract_excerpt":"We present rules for rewriting SO(10) tensor and spinor invariants in terms of invariants of its ``Pati-Salam'' maximal subgroup (SU(4)$\\times \\rm{SU(2)}_L\\times \\rm{SU(2)}_R)$ supplemented by the discrete symmetry called D parity. Explicit decompositions of quadratic and cubic invariants relevant to GUT model building are presented and the role of D parity in organizing the terms explained. Our rules provide a complete and explicit method for obtaining the \"Clebsch-Gordon\" Coefficients for $SO(10)\\leftrightarrow G_{PS}$ in a notation appropriate for field theory models. We illustrate the usef"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0204097","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":""},"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":"hep-ph/0204097","created_at":"2026-05-18T04:29:52.630159+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0204097v4","created_at":"2026-05-18T04:29:52.630159+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0204097","created_at":"2026-05-18T04:29:52.630159+00:00"},{"alias_kind":"pith_short_12","alias_value":"OHX7FS6IFBUI","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"OHX7FS6IFBUI4NRS","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"OHX7FS6I","created_at":"2026-05-18T12:25:51.375804+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2512.11113","citing_title":"TeV Scale Quark-Lepton Unification","ref_index":29,"is_internal_anchor":true},{"citing_arxiv_id":"2604.04021","citing_title":"Reality-constrained Minimal Yukawa Structure in SO(10) GUT","ref_index":45,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OHX7FS6IFBUI4NRST5KY7FK6YH","json":"https://pith.science/pith/OHX7FS6IFBUI4NRST5KY7FK6YH.json","graph_json":"https://pith.science/api/pith-number/OHX7FS6IFBUI4NRST5KY7FK6YH/graph.json","events_json":"https://pith.science/api/pith-number/OHX7FS6IFBUI4NRST5KY7FK6YH/events.json","paper":"https://pith.science/paper/OHX7FS6I"},"agent_actions":{"view_html":"https://pith.science/pith/OHX7FS6IFBUI4NRST5KY7FK6YH","download_json":"https://pith.science/pith/OHX7FS6IFBUI4NRST5KY7FK6YH.json","view_paper":"https://pith.science/paper/OHX7FS6I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0204097&json=true","fetch_graph":"https://pith.science/api/pith-number/OHX7FS6IFBUI4NRST5KY7FK6YH/graph.json","fetch_events":"https://pith.science/api/pith-number/OHX7FS6IFBUI4NRST5KY7FK6YH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OHX7FS6IFBUI4NRST5KY7FK6YH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OHX7FS6IFBUI4NRST5KY7FK6YH/action/storage_attestation","attest_author":"https://pith.science/pith/OHX7FS6IFBUI4NRST5KY7FK6YH/action/author_attestation","sign_citation":"https://pith.science/pith/OHX7FS6IFBUI4NRST5KY7FK6YH/action/citation_signature","submit_replication":"https://pith.science/pith/OHX7FS6IFBUI4NRST5KY7FK6YH/action/replication_record"}},"created_at":"2026-05-18T04:29:52.630159+00:00","updated_at":"2026-05-18T04:29:52.630159+00:00"}