{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:XVVSG55KWUL6SKOROECL342XLS","short_pith_number":"pith:XVVSG55K","canonical_record":{"source":{"id":"hep-th/9807057","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1998-07-08T17:25:51Z","cross_cats_sorted":[],"title_canon_sha256":"bd2001b743f4e7e0281629414da2aaa9ce8d6cd4bc0831572ea79849637df408","abstract_canon_sha256":"66c0db9e6a308a16aad1f5f59ce9a093efb6acab6abf0004c0c95ad879a8175b"},"schema_version":"1.0"},"canonical_sha256":"bd6b2377aab517e929d17104bdf3575c8bd23b7931e4ca1e1e506e679101c68b","source":{"kind":"arxiv","id":"hep-th/9807057","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:XVVSG55KWUL6SKOROECL342XLS","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9807057","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1998-07-08T17:25:51Z","cross_cats_sorted":[],"title_canon_sha256":"bd2001b743f4e7e0281629414da2aaa9ce8d6cd4bc0831572ea79849637df408","abstract_canon_sha256":"66c0db9e6a308a16aad1f5f59ce9a093efb6acab6abf0004c0c95ad879a8175b"},"schema_version":"1.0"},"canonical_sha256":"bd6b2377aab517e929d17104bdf3575c8bd23b7931e4ca1e1e506e679101c68b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:15.808794Z","signature_b64":"V9RFXmMT4vDwH2MN24EwFLi7Bceoyhz70Lak2ZQrABotabuIfiwjL3W0TWURBvxhB5FtKwgfmqDEoyeE9No5Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd6b2377aab517e929d17104bdf3575c8bd23b7931e4ca1e1e506e679101c68b","last_reissued_at":"2026-05-18T04:35:15.808263Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:15.808263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9807057","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:35:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hozUXW9NV/8vrgH3GCABulVt1hHHj45gfyujqMDXC42Igo90yhaqSzWM6cqz1I1MbH6MmXyeMe0fvU8QgRKrBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:38:21.018736Z"},"content_sha256":"b70070c67b6bf81f824c83505ca28f0ca5559fa4f940dc131731209c188263d8","schema_version":"1.0","event_id":"sha256:b70070c67b6bf81f824c83505ca28f0ca5559fa4f940dc131731209c188263d8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:XVVSG55KWUL6SKOROECL342XLS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Enhanced gauge symmetries on elliptic K3","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A.Zampa, C.Reina, L.Bonora","submitted_at":"1998-07-08T17:25:51Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9807057","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:35:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CaCBRibLXvL7JCJb/Wgkt9shzOWZY2xTniz7xm05N3hDJRgEfflTRyGG7HR+COy8ns8Dc/9NtKhqy6F3p2prCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:38:21.019442Z"},"content_sha256":"f4c0f7027f44a47e6de32b7175037114ac60adcb1ac7358fc5d42b9cc394c514","schema_version":"1.0","event_id":"sha256:f4c0f7027f44a47e6de32b7175037114ac60adcb1ac7358fc5d42b9cc394c514"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XVVSG55KWUL6SKOROECL342XLS/bundle.json","state_url":"https://pith.science/pith/XVVSG55KWUL6SKOROECL342XLS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XVVSG55KWUL6SKOROECL342XLS/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-08T01:38:21Z","links":{"resolver":"https://pith.science/pith/XVVSG55KWUL6SKOROECL342XLS","bundle":"https://pith.science/pith/XVVSG55KWUL6SKOROECL342XLS/bundle.json","state":"https://pith.science/pith/XVVSG55KWUL6SKOROECL342XLS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XVVSG55KWUL6SKOROECL342XLS/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FMWvfv65keeQDdXGq42UXsvgHqZ9WyG6JzFko7yR2VZXbYA1IjGz55rI16zMmOw0HTwdn7cCU9grQgjnsAcuCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T01:38:21.023116Z","bundle_sha256":"04da7df5d9c23db883ee338c3ae890531737700830a56243abecc591cbcf71a9"}}