{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:XVVSG55KWUL6SKOROECL342XLS","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":"66c0db9e6a308a16aad1f5f59ce9a093efb6acab6abf0004c0c95ad879a8175b","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-07-08T17:25:51Z","title_canon_sha256":"bd2001b743f4e7e0281629414da2aaa9ce8d6cd4bc0831572ea79849637df408"},"schema_version":"1.0","source":{"id":"hep-th/9807057","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9807057","created_at":"2026-05-18T04:35:15Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9807057v1","created_at":"2026-05-18T04:35:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9807057","created_at":"2026-05-18T04:35:15Z"},{"alias_kind":"pith_short_12","alias_value":"XVVSG55KWUL6","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"XVVSG55KWUL6SKOR","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"XVVSG55K","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:f4c0f7027f44a47e6de32b7175037114ac60adcb1ac7358fc5d42b9cc394c514","target":"graph","created_at":"2026-05-18T04:35:15Z","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 show that the geometry of K3 surfaces with singularities of type A-D-E contains enough information to reconstruct a copy of the Lie algebra associated to the given Dynkin diagram. We apply this construction to explain the enhancement of symmetry in F and IIA theories compactified on singular K3's.","authors_text":"A.Zampa, C.Reina, L.Bonora","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1998-07-08T17:25:51Z","title":"Enhanced gauge symmetries on elliptic K3"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9807057","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:b70070c67b6bf81f824c83505ca28f0ca5559fa4f940dc131731209c188263d8","target":"record","created_at":"2026-05-18T04:35:15Z","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":"66c0db9e6a308a16aad1f5f59ce9a093efb6acab6abf0004c0c95ad879a8175b","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-07-08T17:25:51Z","title_canon_sha256":"bd2001b743f4e7e0281629414da2aaa9ce8d6cd4bc0831572ea79849637df408"},"schema_version":"1.0","source":{"id":"hep-th/9807057","kind":"arxiv","version":1}},"canonical_sha256":"bd6b2377aab517e929d17104bdf3575c8bd23b7931e4ca1e1e506e679101c68b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd6b2377aab517e929d17104bdf3575c8bd23b7931e4ca1e1e506e679101c68b","first_computed_at":"2026-05-18T04:35:15.808263Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:15.808263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V9RFXmMT4vDwH2MN24EwFLi7Bceoyhz70Lak2ZQrABotabuIfiwjL3W0TWURBvxhB5FtKwgfmqDEoyeE9No5Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:15.808794Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9807057","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b70070c67b6bf81f824c83505ca28f0ca5559fa4f940dc131731209c188263d8","sha256:f4c0f7027f44a47e6de32b7175037114ac60adcb1ac7358fc5d42b9cc394c514"],"state_sha256":"1c72666e6d236b3f843205b116b7a648c9d512a10d0f6bd06a37a646edf08039"}