{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:CI3HNHXQ3DYQEPC5DTN2ZOITNW","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":"b31c417dc67b81f967e6e0c9badbe7d6dd63e496086ede4c3f989d3adcb16826","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-05-28T14:01:17Z","title_canon_sha256":"b76d2e78617d66b97d3bb547c735340674970ae273ff52cc02c633093d6b1d73"},"schema_version":"1.0","source":{"id":"2005.14018","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.14018","created_at":"2026-07-05T04:20:27Z"},{"alias_kind":"arxiv_version","alias_value":"2005.14018v4","created_at":"2026-07-05T04:20:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.14018","created_at":"2026-07-05T04:20:27Z"},{"alias_kind":"pith_short_12","alias_value":"CI3HNHXQ3DYQ","created_at":"2026-07-05T04:20:27Z"},{"alias_kind":"pith_short_16","alias_value":"CI3HNHXQ3DYQEPC5","created_at":"2026-07-05T04:20:27Z"},{"alias_kind":"pith_short_8","alias_value":"CI3HNHXQ","created_at":"2026-07-05T04:20:27Z"}],"graph_snapshots":[{"event_id":"sha256:b059bfa021576f8a23799fc0d1d4f63c564389ca153672f6457582d6a89c1bb3","target":"graph","created_at":"2026-07-05T04:20:27Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2005.14018/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Consider a log Calabi-Yau pair $(X,D)$ consisting of a smooth del Pezzo surface $X$ of degree $\\geq 3$ and a smooth anticanonical divisor $D$. We prove a correspondence between genus zero logarithmic Gromov-Witten invariants of $X$ intersecting $D$ in a single point with maximal tangency and the consistent wall structure appearing in the dual intersection complex of $(X,D)$ from the Gross-Siebert reconstruction algorithm. More precisely, the logarithm of the product of functions attached to unbounded walls in the consistent wall structure gives a generating function for these invariants.","authors_text":"Tim Graefnitz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-05-28T14:01:17Z","title":"Tropical correspondence for smooth del Pezzo log Calabi-Yau pairs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.14018","kind":"arxiv","version":4},"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":"sha256:14ea524a82d54126263bfdbbe20d08da86ef952b046273792c5901533890425e","target":"record","created_at":"2026-07-05T04:20:27Z","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":"b31c417dc67b81f967e6e0c9badbe7d6dd63e496086ede4c3f989d3adcb16826","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-05-28T14:01:17Z","title_canon_sha256":"b76d2e78617d66b97d3bb547c735340674970ae273ff52cc02c633093d6b1d73"},"schema_version":"1.0","source":{"id":"2005.14018","kind":"arxiv","version":4}},"canonical_sha256":"1236769ef0d8f1023c5d1cdbacb9136d9e87419b3b6f2c98fa91dae3c123ad86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1236769ef0d8f1023c5d1cdbacb9136d9e87419b3b6f2c98fa91dae3c123ad86","first_computed_at":"2026-07-05T04:20:27.195113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:20:27.195113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z+eqod2IXL0JsOFNIDWPlyclfwxZ5LstkihgX2O1yIGaSu60oGst8GvfPY1yMcN8HMK3wioNp6VH6pHN6SgFAg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:20:27.195500Z","signed_message":"canonical_sha256_bytes"},"source_id":"2005.14018","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14ea524a82d54126263bfdbbe20d08da86ef952b046273792c5901533890425e","sha256:b059bfa021576f8a23799fc0d1d4f63c564389ca153672f6457582d6a89c1bb3"],"state_sha256":"137ff46e6bb84dd4fa6ebafb9aa42f3e367cf496c2a209d367d01c77726f2645"}