{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:ENNDVC64FMA6ZXEOH4NO6XEBA6","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":"f3351da65ced3662f0824ac24905202f064d75f5937025eba9d68e736adb04ec","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1999-08-25T14:18:08Z","title_canon_sha256":"a332712c7d9e7bd9598cbb922a51adbad41fc6d6455bc96d8c38bef61d3f8ec3"},"schema_version":"1.0","source":{"id":"hep-ph/9908462","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9908462","created_at":"2026-05-18T01:06:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9908462v1","created_at":"2026-05-18T01:06:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9908462","created_at":"2026-05-18T01:06:05Z"},{"alias_kind":"pith_short_12","alias_value":"ENNDVC64FMA6","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ENNDVC64FMA6ZXEO","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ENNDVC64","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:878db34ddae8e5d835fe4af3b25a7c4758da04aae481445459e9582c82d80184","target":"graph","created_at":"2026-05-18T01:06:05Z","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":"We discuss the possibility of intermediate gauge coupling unification in unified models of string origin. Useful relations of the \\beta-function coefficients are derived, which ensure unification of couplings when Kaluza--Klein excitations are included above the compactification scale. We apply this procedure to two models with SU(3)\\times SU(3)_L\\times SU(3)_R and SU(4)\\times O(4) gauge symmetries.","authors_text":"Athens), G.K. Leontaris (CERN, Ioannina Un.), N.D. Tracas (NTUA","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1999-08-25T14:18:08Z","title":"Unified Models at Intermediate Energy Scales and Kaluza-Klein Excitations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9908462","kind":"arxiv","version":1},"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":"sha256:7472381049733cdc933919be06ebaaf135616ade14d1ce907901413d46bf9711","target":"record","created_at":"2026-05-18T01:06:05Z","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":"f3351da65ced3662f0824ac24905202f064d75f5937025eba9d68e736adb04ec","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1999-08-25T14:18:08Z","title_canon_sha256":"a332712c7d9e7bd9598cbb922a51adbad41fc6d6455bc96d8c38bef61d3f8ec3"},"schema_version":"1.0","source":{"id":"hep-ph/9908462","kind":"arxiv","version":1}},"canonical_sha256":"235a3a8bdc2b01ecdc8e3f1aef5c8107a7d78737253e06522633be3269d027e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"235a3a8bdc2b01ecdc8e3f1aef5c8107a7d78737253e06522633be3269d027e4","first_computed_at":"2026-05-18T01:06:05.544717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:05.544717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8uUlIjJCnHPaqHRiyB+aE3pDFcvnyvexoSuN7iSIDBqMrzof29F/c1klX7P45wdQVyB0FWeFx93KOOG6q5FBDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:05.545354Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9908462","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7472381049733cdc933919be06ebaaf135616ade14d1ce907901413d46bf9711","sha256:878db34ddae8e5d835fe4af3b25a7c4758da04aae481445459e9582c82d80184"],"state_sha256":"3d6a8b064e44e495a8b4794e9a5fe5af07a8b8f22c86441ee6706808f68c59f5"}