{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FS6FZGWKRWTEW3AYJREO4VWFXD","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":"f51e7c1894af6b5ce7644410d51872db4cfe8afc688a533febb83fe5b4f5affd","cross_cats_sorted":["hep-th","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-03-12T06:07:58Z","title_canon_sha256":"e74e796f179f92193a53630041b3772144c258236d3980b4dca043f57ea2e9cb"},"schema_version":"1.0","source":{"id":"1303.2782","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2782","created_at":"2026-05-18T03:31:08Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2782v1","created_at":"2026-05-18T03:31:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2782","created_at":"2026-05-18T03:31:08Z"},{"alias_kind":"pith_short_12","alias_value":"FS6FZGWKRWTE","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FS6FZGWKRWTEW3AY","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FS6FZGWK","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:5aa5f00aa195aba7aad2f848eb0ce9cc52ffc816d7692a2396b9d1b62b4af87a","target":"graph","created_at":"2026-05-18T03:31:08Z","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 explain the homological relation between the Frobenius structure on the deformation space of Calabi-Yau manifold and the gauge theory of Kodaira-Spencer gravity. We show that the genus zero generating function of descendant invariants on Calabi-Yau manifolds from Barannikov's semi-infinite variation of Hodge structures is equivalent to the Kodaira-Spencer gauge theory at tree level.","authors_text":"Si Li","cross_cats":["hep-th","math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-03-12T06:07:58Z","title":"Variation of Hodge structures, Frobenius manifolds and Gauge theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2782","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":"sha256:9016281220671d4f419cf0b744193c1df6a749d47f27cf13361409a18f707fea","target":"record","created_at":"2026-05-18T03:31:08Z","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":"f51e7c1894af6b5ce7644410d51872db4cfe8afc688a533febb83fe5b4f5affd","cross_cats_sorted":["hep-th","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-03-12T06:07:58Z","title_canon_sha256":"e74e796f179f92193a53630041b3772144c258236d3980b4dca043f57ea2e9cb"},"schema_version":"1.0","source":{"id":"1303.2782","kind":"arxiv","version":1}},"canonical_sha256":"2cbc5c9aca8da64b6c184c48ee56c5b8ea079efca93bfd1a102c6f42cd3ce627","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2cbc5c9aca8da64b6c184c48ee56c5b8ea079efca93bfd1a102c6f42cd3ce627","first_computed_at":"2026-05-18T03:31:08.085414Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:08.085414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4wkZnZyoEogkmxBE0qGUBlyzMwWS/yBWoGtNf6hcCk3ry5DMz/UiZmXEb5MrFye+H3/ovRTyaUNfkIZSiUHSDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:08.085954Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.2782","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9016281220671d4f419cf0b744193c1df6a749d47f27cf13361409a18f707fea","sha256:5aa5f00aa195aba7aad2f848eb0ce9cc52ffc816d7692a2396b9d1b62b4af87a"],"state_sha256":"baacda8f4b439e5e5e95bfd3e207ca4e87c3be134e2e2b8f2b1a02e4637963fc"}