{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:BKYAROK566U2LM5RRPFY5O4VP4","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":"05f9077f56e93d5a8b01e8888c59f02d05b200593fde31ae5a3d540016b4ee4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-29T11:18:39Z","title_canon_sha256":"2fdc1bd8cb9e5586b87729f9c9c467b00f3b1d3e36a924d2d0d35d928d7ceda8"},"schema_version":"1.0","source":{"id":"1006.5568","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.5568","created_at":"2026-05-18T02:33:15Z"},{"alias_kind":"arxiv_version","alias_value":"1006.5568v1","created_at":"2026-05-18T02:33:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.5568","created_at":"2026-05-18T02:33:15Z"},{"alias_kind":"pith_short_12","alias_value":"BKYAROK566U2","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"BKYAROK566U2LM5R","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"BKYAROK5","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:456d9ece034d97310b61d45eecd850a47f06d9af0e197a7cbcf8faf0ef48271b","target":"graph","created_at":"2026-05-18T02:33:15Z","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":"For supersymmetric heterotic string compactifications on a Calabi-Yau threefold $X$ endowed with a vector bundle $V$ the world-sheet superpotential $W$ is a sum of contributions from isolated rational curves $\\C$ in $X$; the individual contribution is given by an exponential in the K\\\"ahler class of the curve times a prefactor given essentially by the Pfaffian which depends on the moduli of $V$ and the complex structure moduli of $X$. Solutions of $DW=0$ (or even of $DW=W=0$) can arise either by nontrivial cancellations between the individual terms in the summation over all contributing curves","authors_text":"Gottfried Curio","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-29T11:18:39Z","title":"On the Heterotic World-sheet Instanton Superpotential and its individual Contributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.5568","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:e223b39b08e3ea8a7eb1884aeb8872ebc1e3765fd0702f134b8b66f7d27c2fec","target":"record","created_at":"2026-05-18T02:33:15Z","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":"05f9077f56e93d5a8b01e8888c59f02d05b200593fde31ae5a3d540016b4ee4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-29T11:18:39Z","title_canon_sha256":"2fdc1bd8cb9e5586b87729f9c9c467b00f3b1d3e36a924d2d0d35d928d7ceda8"},"schema_version":"1.0","source":{"id":"1006.5568","kind":"arxiv","version":1}},"canonical_sha256":"0ab008b95df7a9a5b3b18bcb8ebb957f03892f5d452d7531659d62dc87d8b1a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ab008b95df7a9a5b3b18bcb8ebb957f03892f5d452d7531659d62dc87d8b1a8","first_computed_at":"2026-05-18T02:33:15.807140Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:15.807140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bZWf5cejGey3dKe2eI6Uoid60naFKldl8o70Ei+3sLTlOGfAna5mmyyk6f1StiZenWWKXO4DCuzjsdXpgdXkBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:15.807689Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.5568","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e223b39b08e3ea8a7eb1884aeb8872ebc1e3765fd0702f134b8b66f7d27c2fec","sha256:456d9ece034d97310b61d45eecd850a47f06d9af0e197a7cbcf8faf0ef48271b"],"state_sha256":"507e0353277d0f430dd6da9c8b932c58332b078c4b08f1b20df1ea03133a687b"}