{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:5OJ4QIDMPJUEMFV3E6ZFARCD4D","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"30514a2a01c2f695d58a740b257134cab763832161f0e0c8df826140ef3e3c47","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-02-22T20:20:34Z","title_canon_sha256":"8207d3fe143528eb3beed28ec619f7f4cd332af67724d0db27e4dc6174bdcad5"},"schema_version":"1.0","source":{"id":"1002.4183","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.4183","created_at":"2026-05-18T02:33:42Z"},{"alias_kind":"arxiv_version","alias_value":"1002.4183v2","created_at":"2026-05-18T02:33:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.4183","created_at":"2026-05-18T02:33:42Z"},{"alias_kind":"pith_short_12","alias_value":"5OJ4QIDMPJUE","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5OJ4QIDMPJUEMFV3","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5OJ4QIDM","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:b754ed2972abf4bde072975158f22c48a6855d14e92b8d97af262101e58fc021","target":"graph","created_at":"2026-05-18T02:33:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In Grand Unified Theories (GUTs), the Standard Model (SM) gauge couplings need not be unified at the GUT scale due to the high-dimensional operators. Considering gravity mediated supersymmetry breaking, we study for the first time the generic gauge coupling relations at the GUT scale, and the general gaugino mass relations which are valid from the GUT scale to the electroweak scale at one loop. We define the index k for these relations, which can be calculated in GUTs and can be determined at the Large Hadron Collider and the future International Linear Collider. Thus, we give a concrete defin","authors_text":"Dimitri V. Nanopoulos, Tianjun Li","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-02-22T20:20:34Z","title":"Generalizing Minimal Supergravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4183","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:981727dd62255b72029781b6bafbc535cfd88824f659ff1d041d7d5b879931a6","target":"record","created_at":"2026-05-18T02:33:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"30514a2a01c2f695d58a740b257134cab763832161f0e0c8df826140ef3e3c47","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-02-22T20:20:34Z","title_canon_sha256":"8207d3fe143528eb3beed28ec619f7f4cd332af67724d0db27e4dc6174bdcad5"},"schema_version":"1.0","source":{"id":"1002.4183","kind":"arxiv","version":2}},"canonical_sha256":"eb93c8206c7a684616bb27b2504443e0c0bc301114acb23d9be93ea8b638da65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb93c8206c7a684616bb27b2504443e0c0bc301114acb23d9be93ea8b638da65","first_computed_at":"2026-05-18T02:33:42.200181Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:42.200181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MmuOvZgpp4NRo+XqXof18BQLdcQfAR8CuO0DOGCa6QWsEsGdaTHaG5+gVsE22lo41VN/W/d8G4OUBqnxizmdBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:42.200638Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.4183","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:981727dd62255b72029781b6bafbc535cfd88824f659ff1d041d7d5b879931a6","sha256:b754ed2972abf4bde072975158f22c48a6855d14e92b8d97af262101e58fc021"],"state_sha256":"1626b80f35ff2ff05ec91b49b6e358b4518d5210666257b3f8499a404fcf0de6"}