{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WDMRQPZVYCALPLYS7B2AXI2LQY","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":"05b7efb452c7324d143f527cdc8cb0d9210759c5f56496558c8cb859e251f856","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-22T20:00:01Z","title_canon_sha256":"a1f21fd726e64dd985a1f3c9d0e34245d69608faba6f6f71a15729bc15ad9c1e"},"schema_version":"1.0","source":{"id":"1609.07144","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.07144","created_at":"2026-05-18T00:40:24Z"},{"alias_kind":"arxiv_version","alias_value":"1609.07144v1","created_at":"2026-05-18T00:40:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.07144","created_at":"2026-05-18T00:40:24Z"},{"alias_kind":"pith_short_12","alias_value":"WDMRQPZVYCAL","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WDMRQPZVYCALPLYS","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WDMRQPZV","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:398eb3c54146ab340dd7ebd4bf50db82a9ce6486d0053ca22303ef42a4a86762","target":"graph","created_at":"2026-05-18T00:40:24Z","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 introduce Orbifold Reduction, a new method for generating $2d$ $(0,2)$ gauge theories associated to D1-branes probing singular toric Calabi-Yau 4-folds starting from $4d$ $\\mathcal{N}=1$ gauge theories on D3-branes probing toric Calabi-Yau 3-folds. The new procedure generalizes dimensional reduction and orbifolding. In terms of T-dual configurations, it generates brane brick models starting from brane tilings. Orbifold reduction provides an agile approach for generating $2d$ $(0,2)$ theories with a brane realization. We present three practical applications of the new algorithm: the connecti","authors_text":"Rak-Kyeong Seong, Sangmin Lee, Sebastian Franco","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-22T20:00:01Z","title":"Orbifold Reduction and 2d (0,2) Gauge Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07144","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":"sha256:0bdec0a920df132133941a6461c04f5388183e546ee47ee708e2006fd45638ff","target":"record","created_at":"2026-05-18T00:40:24Z","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":"05b7efb452c7324d143f527cdc8cb0d9210759c5f56496558c8cb859e251f856","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-22T20:00:01Z","title_canon_sha256":"a1f21fd726e64dd985a1f3c9d0e34245d69608faba6f6f71a15729bc15ad9c1e"},"schema_version":"1.0","source":{"id":"1609.07144","kind":"arxiv","version":1}},"canonical_sha256":"b0d9183f35c080b7af12f8740ba34b862544ce6ee2726f0e67fc64a398a921b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0d9183f35c080b7af12f8740ba34b862544ce6ee2726f0e67fc64a398a921b7","first_computed_at":"2026-05-18T00:40:24.172806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:24.172806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hNzLD9xQHYyzmH6vCgGe45/3P0YIRkvpQ+awuIuP+5cR7dh/g8/X0XO0RKIcPkK1cskIhzZUkD/xbmSjD+LmAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:24.173424Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.07144","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0bdec0a920df132133941a6461c04f5388183e546ee47ee708e2006fd45638ff","sha256:398eb3c54146ab340dd7ebd4bf50db82a9ce6486d0053ca22303ef42a4a86762"],"state_sha256":"516bacedca58346db26e9bbbaa056ab7ee64184e2505797876b2df2e1cc58852"}