{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2J43NKO52MGQSI5BFTJWMXPBVU","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":"412307a58e62ac8b3fa66298cc492e6f4230961859947833a052f5bb13288b53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-24T13:26:29Z","title_canon_sha256":"28c300e9868d30513066a80379a1c113dcd6559aa66a6ba2ea9166c9f7c56394"},"schema_version":"1.0","source":{"id":"1206.5490","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.5490","created_at":"2026-05-18T01:22:08Z"},{"alias_kind":"arxiv_version","alias_value":"1206.5490v2","created_at":"2026-05-18T01:22:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5490","created_at":"2026-05-18T01:22:08Z"},{"alias_kind":"pith_short_12","alias_value":"2J43NKO52MGQ","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2J43NKO52MGQSI5B","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2J43NKO5","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:1d1ca045d2a832155bb199e10b53ef25ffb334d68c62d47943988f0fba37b74d","target":"graph","created_at":"2026-05-18T01:22:08Z","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 use the Gromov-Witten/Pairs descendent correspondence for toric 3-folds and degeneration arguments to establish the GW/P correspondence for several compact Calabi-Yau 3-folds (including all CY complete intersections in products of projective spaces). A crucial aspect of the proof is the study of the GW/P correspondence for descendents in relative geometries. Projective bundles over surfaces relative to a section play a special role.\n  The GW/P correspondence for Calabi-Yau complete intersections provides a structure result for the Gromov-Witten invariants in a fixed curve class. After chang","authors_text":"A. Pixton, R. Pandharipande","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-24T13:26:29Z","title":"Gromov-Witten/Pairs correspondence for the quintic 3-fold"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5490","kind":"arxiv","version":2},"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:e00f8195149481bf57ae895dc2c14d495c8c3fa40e1a94af9e2b288c6d910c85","target":"record","created_at":"2026-05-18T01:22:08Z","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":"412307a58e62ac8b3fa66298cc492e6f4230961859947833a052f5bb13288b53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-24T13:26:29Z","title_canon_sha256":"28c300e9868d30513066a80379a1c113dcd6559aa66a6ba2ea9166c9f7c56394"},"schema_version":"1.0","source":{"id":"1206.5490","kind":"arxiv","version":2}},"canonical_sha256":"d279b6a9ddd30d0923a12cd3665de1ad3b6e80b66cb4577e211646c7c5404832","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d279b6a9ddd30d0923a12cd3665de1ad3b6e80b66cb4577e211646c7c5404832","first_computed_at":"2026-05-18T01:22:08.963688Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:08.963688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f3uKQAlbj11v+ArBKSRbUeUBa7vpfBMMePxYe7U9j955o/nPQRZS60vn1xynNKwAvxsY0VNUdTzHmiAxbRdKDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:08.964284Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.5490","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e00f8195149481bf57ae895dc2c14d495c8c3fa40e1a94af9e2b288c6d910c85","sha256:1d1ca045d2a832155bb199e10b53ef25ffb334d68c62d47943988f0fba37b74d"],"state_sha256":"c5880a803c653bb74915ee6542c35bdb2073b928f35a9ddedb709888ebf7e7c5"}