{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:SB2ZIHBUA5QFW7UUKAP6L56MUP","short_pith_number":"pith:SB2ZIHBU","schema_version":"1.0","canonical_sha256":"9075941c3407605b7e94501fe5f7cca3fa294b1fe294677f10c3c959702cddda","source":{"kind":"arxiv","id":"hep-th/0411131","version":3},"attestation_state":"computed","paper":{"title":"Gauge Unification in Highly Anisotropic String Compactifications","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"A. Hebecker, M. Trapletti","submitted_at":"2004-11-12T17:20:47Z","abstract_excerpt":"It is well-known that heterotic string compactifications have, in spite of their conceptual simplicity and aesthetic appeal, a serious problem with precision gauge coupling unification in the perturbative regime of string theory. Using both a duality-based and a field-theoretic definition of the boundary of the perturbative regime, we reevaluate the situation in a quantitative manner. We conclude that the simplest and most promising situations are those where some of the compactification radii are exceptionally large, corresponding to highly anisotropic orbifold models. Thus, one is led to con"},"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-th/0411131","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-11-12T17:20:47Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"806b19c78b8efc1b3cab30137e9f902f99c68c3a62816168cdf2652f7c01ae22","abstract_canon_sha256":"ec0ca32afef0be10c299ca00e9162ffd027434aa9e8a2e6541b86a21b3eb1382"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:38:20.621754Z","signature_b64":"PcUnfGuafp5RB99BNncUuRBjstV7g+varSigO9SbmlnItJnDEdOGP9mrWHH1MkpdgeToVP80v/cvTo6e+eu6CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9075941c3407605b7e94501fe5f7cca3fa294b1fe294677f10c3c959702cddda","last_reissued_at":"2026-07-04T15:38:20.621261Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:38:20.621261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gauge Unification in Highly Anisotropic String Compactifications","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"A. Hebecker, M. Trapletti","submitted_at":"2004-11-12T17:20:47Z","abstract_excerpt":"It is well-known that heterotic string compactifications have, in spite of their conceptual simplicity and aesthetic appeal, a serious problem with precision gauge coupling unification in the perturbative regime of string theory. Using both a duality-based and a field-theoretic definition of the boundary of the perturbative regime, we reevaluate the situation in a quantitative manner. We conclude that the simplest and most promising situations are those where some of the compactification radii are exceptionally large, corresponding to highly anisotropic orbifold models. Thus, one is led to con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0411131","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/hep-th/0411131/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":"hep-th/0411131","created_at":"2026-07-04T15:38:20.621342+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0411131v3","created_at":"2026-07-04T15:38:20.621342+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0411131","created_at":"2026-07-04T15:38:20.621342+00:00"},{"alias_kind":"pith_short_12","alias_value":"SB2ZIHBUA5QF","created_at":"2026-07-04T15:38:20.621342+00:00"},{"alias_kind":"pith_short_16","alias_value":"SB2ZIHBUA5QFW7UU","created_at":"2026-07-04T15:38:20.621342+00:00"},{"alias_kind":"pith_short_8","alias_value":"SB2ZIHBU","created_at":"2026-07-04T15:38:20.621342+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.12549","citing_title":"Tachyonic Encore: A universal shift of inflationary observables","ref_index":74,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SB2ZIHBUA5QFW7UUKAP6L56MUP","json":"https://pith.science/pith/SB2ZIHBUA5QFW7UUKAP6L56MUP.json","graph_json":"https://pith.science/api/pith-number/SB2ZIHBUA5QFW7UUKAP6L56MUP/graph.json","events_json":"https://pith.science/api/pith-number/SB2ZIHBUA5QFW7UUKAP6L56MUP/events.json","paper":"https://pith.science/paper/SB2ZIHBU"},"agent_actions":{"view_html":"https://pith.science/pith/SB2ZIHBUA5QFW7UUKAP6L56MUP","download_json":"https://pith.science/pith/SB2ZIHBUA5QFW7UUKAP6L56MUP.json","view_paper":"https://pith.science/paper/SB2ZIHBU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0411131&json=true","fetch_graph":"https://pith.science/api/pith-number/SB2ZIHBUA5QFW7UUKAP6L56MUP/graph.json","fetch_events":"https://pith.science/api/pith-number/SB2ZIHBUA5QFW7UUKAP6L56MUP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SB2ZIHBUA5QFW7UUKAP6L56MUP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SB2ZIHBUA5QFW7UUKAP6L56MUP/action/storage_attestation","attest_author":"https://pith.science/pith/SB2ZIHBUA5QFW7UUKAP6L56MUP/action/author_attestation","sign_citation":"https://pith.science/pith/SB2ZIHBUA5QFW7UUKAP6L56MUP/action/citation_signature","submit_replication":"https://pith.science/pith/SB2ZIHBUA5QFW7UUKAP6L56MUP/action/replication_record"}},"created_at":"2026-07-04T15:38:20.621342+00:00","updated_at":"2026-07-04T15:38:20.621342+00:00"}