{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6EI5LLZCIVIAZT5SAPWOI7ZQGC","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":"2e4486d97676f3c5936637b1e5c5e8a206cd8ed6bb32b5192c7c5e75074a2a30","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-24T08:28:21Z","title_canon_sha256":"009a2e728736af158e052c1f2b28b5e2605ee7414421654171499214639fa2f9"},"schema_version":"1.0","source":{"id":"1205.5364","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.5364","created_at":"2026-05-18T01:57:18Z"},{"alias_kind":"arxiv_version","alias_value":"1205.5364v2","created_at":"2026-05-18T01:57:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5364","created_at":"2026-05-18T01:57:18Z"},{"alias_kind":"pith_short_12","alias_value":"6EI5LLZCIVIA","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6EI5LLZCIVIAZT5S","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6EI5LLZC","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:87fd17a14f5c2795ce9ea99113dd91a32c00214f2a0c4b765bb7871c1c80b798","target":"graph","created_at":"2026-05-18T01:57:18Z","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":"Motivated by the necessity of discrete Z_N symmetries in the MSSM to insure baryon stability, we study the origin of discrete gauge symmetries from open string sector U(1)'s in orientifolds based on rational conformal field theory. By means of an explicit construction, we find an integral basis for the couplings of axions and U(1) factors for all simple current MIPFs and orientifolds of all 168 Gepner models, a total of 32990 distinct cases. We discuss how the presence of discrete symmetries surviving as a subgroup of broken U(1)'s can be derived using this basis. We apply this procedure to mo","authors_text":"A. M. Uranga, A. N. Schellekens, L. E. Ibanez","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-24T08:28:21Z","title":"Discrete Gauge Symmetries in Discrete MSSM-like Orientifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5364","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":"sha256:2861b86fabd7805916df266d23d9cf73c616664713537de797b28e104974afe4","target":"record","created_at":"2026-05-18T01:57:18Z","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":"2e4486d97676f3c5936637b1e5c5e8a206cd8ed6bb32b5192c7c5e75074a2a30","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-24T08:28:21Z","title_canon_sha256":"009a2e728736af158e052c1f2b28b5e2605ee7414421654171499214639fa2f9"},"schema_version":"1.0","source":{"id":"1205.5364","kind":"arxiv","version":2}},"canonical_sha256":"f111d5af2245500ccfb203ece47f3030946bc97c7138d8c16b9a4b31ea96da32","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f111d5af2245500ccfb203ece47f3030946bc97c7138d8c16b9a4b31ea96da32","first_computed_at":"2026-05-18T01:57:18.005294Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:18.005294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kFJvUzXfz4E282sAznTqYiPpLnW1+IZ8iiGlHNqjQJVpOnACImg3ueDkOCS42C48I63TxML6+oMoruCs2VLGAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:18.005902Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.5364","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2861b86fabd7805916df266d23d9cf73c616664713537de797b28e104974afe4","sha256:87fd17a14f5c2795ce9ea99113dd91a32c00214f2a0c4b765bb7871c1c80b798"],"state_sha256":"94437583d9177e7f5010deb6f3d1b31f1057431c7953cf097a4cfc9fce737b14"}