{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WIMX3CEGJR7NX7IYD5BTYODD5L","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":"3a0b25e8eb8977ef5fa590a5a635b034851456f09b89bb29ff4d87a86e78e641","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-19T18:22:46Z","title_canon_sha256":"4f650be7034d54fbadb15338bd86f4c594cc6193adc3fb8ecdba8e52d5899184"},"schema_version":"1.0","source":{"id":"1804.07322","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.07322","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"arxiv_version","alias_value":"1804.07322v1","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.07322","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"pith_short_12","alias_value":"WIMX3CEGJR7N","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WIMX3CEGJR7NX7IY","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WIMX3CEG","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:76ac04e56be60630a85cc77eb3393f5ff818083eb2af4ae294220386e4d17998","target":"graph","created_at":"2026-05-18T00:11:34Z","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 present a conjecture for the massless sector of perturbative 4D $N=1$ heterotic $(0,2)$ string vacua, including $U(1)^n$ gauge symmetries,one of them possibly anomalous (like in standard heterotic compactifications). Mathematically it states that the positive hull generated by the charges of the massless chiral multiplets spans a sublattice of the full charge lattice. We have tested this conjecture in many heterotic $N=1$ compactifications in 4D. Our motivation for this conjecture is that it allows to understand a very old puzzle in $(0,2)$ $N=1$ heterotic compactification with an anomalous","authors_text":"Gerardo Aldazabal, Luis E. Ib\\'a\\~nez","cross_cats":["gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-19T18:22:46Z","title":"A Note on 4D Heterotic String Vacua, FI-terms and the Swampland"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.07322","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:eaafa906111f1bacdb6c7b5c4d414b202605700e722229d30afe8aa09e93433f","target":"record","created_at":"2026-05-18T00:11:34Z","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":"3a0b25e8eb8977ef5fa590a5a635b034851456f09b89bb29ff4d87a86e78e641","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-19T18:22:46Z","title_canon_sha256":"4f650be7034d54fbadb15338bd86f4c594cc6193adc3fb8ecdba8e52d5899184"},"schema_version":"1.0","source":{"id":"1804.07322","kind":"arxiv","version":1}},"canonical_sha256":"b2197d88864c7edbfd181f433c3863eadf84126f7aa13cdc3d0fac8767af5581","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b2197d88864c7edbfd181f433c3863eadf84126f7aa13cdc3d0fac8767af5581","first_computed_at":"2026-05-18T00:11:34.335868Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:34.335868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RA4KFdTq1TEi5i+RPfmc5dIyWgT0rSE21NQyP9LhtPY++8Je3h+hYwaRxNIRYtIkIgROdcm2X+kbbNlpjgf3Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:34.336515Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.07322","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eaafa906111f1bacdb6c7b5c4d414b202605700e722229d30afe8aa09e93433f","sha256:76ac04e56be60630a85cc77eb3393f5ff818083eb2af4ae294220386e4d17998"],"state_sha256":"cedc2b9a15d0070f0cc8509c2fa5057098ed1169dab762d4cf621df9d10326ca"}