{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:3UMSGXFWXYDQCN5YGKUYGF7YVM","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":"bf09d04b13875e10db27183e2b5eb8437273bcc5163e22727939b0738204a7ca","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-28T17:58:29Z","title_canon_sha256":"382ce6ad9a3233cd244c56b3a83806e7d89e017b61ed9af043baa29dda5a1527"},"schema_version":"1.0","source":{"id":"1903.12171","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.12171","created_at":"2026-07-05T01:27:17Z"},{"alias_kind":"arxiv_version","alias_value":"1903.12171v3","created_at":"2026-07-05T01:27:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.12171","created_at":"2026-07-05T01:27:17Z"},{"alias_kind":"pith_short_12","alias_value":"3UMSGXFWXYDQ","created_at":"2026-07-05T01:27:17Z"},{"alias_kind":"pith_short_16","alias_value":"3UMSGXFWXYDQCN5Y","created_at":"2026-07-05T01:27:17Z"},{"alias_kind":"pith_short_8","alias_value":"3UMSGXFW","created_at":"2026-07-05T01:27:17Z"}],"graph_snapshots":[{"event_id":"sha256:161ae0ee134caab956b434de250f25848f97560c04ed34bb24d54914984e7fda","target":"graph","created_at":"2026-07-05T01:27:17Z","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/1903.12171/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, Cao-Maulik-Toda defined stable pair invariants of a compact Calabi-Yau 4-fold $X$. Their invariants are conjecturally related to the Gopakumar-Vafa type invariants of $X$ defined using Gromov-Witten theory by Klemm-Pandharipande. In this paper, we consider curve counting invariants of $X$ using Hilbert schemes of curves and conjecture a DT/PT correspondence which relates these to stable pair invariants of $X$.\n  After providing evidence in the compact case, we define analogous invariants for toric Calabi-Yau 4-folds using a localization formula. We formulate a vertex formalism for bo","authors_text":"Martijn Kool, Yalong Cao","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-28T17:58:29Z","title":"Curve counting and DT/PT correspondence for Calabi-Yau 4-folds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.12171","kind":"arxiv","version":3},"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":"sha256:6007251c0ad26fa6b1c9f4e08a07c82c222e9afca92ae38fb527a66031f4bcfc","target":"record","created_at":"2026-07-05T01:27:17Z","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":"bf09d04b13875e10db27183e2b5eb8437273bcc5163e22727939b0738204a7ca","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-28T17:58:29Z","title_canon_sha256":"382ce6ad9a3233cd244c56b3a83806e7d89e017b61ed9af043baa29dda5a1527"},"schema_version":"1.0","source":{"id":"1903.12171","kind":"arxiv","version":3}},"canonical_sha256":"dd19235cb6be070137b832a98317f8ab2b2818a1405b332a35232ae1fc0e5205","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd19235cb6be070137b832a98317f8ab2b2818a1405b332a35232ae1fc0e5205","first_computed_at":"2026-07-05T01:27:17.595209Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:27:17.595209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7TDMOQ3xx6Z0xt+p9AAfsOrun58BUEKbMAx1Kjom8MgQYWfsgciE9XIY//Cy9Ik1/yzo/woO2h5R3c6gdUYuCA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:27:17.595710Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.12171","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6007251c0ad26fa6b1c9f4e08a07c82c222e9afca92ae38fb527a66031f4bcfc","sha256:161ae0ee134caab956b434de250f25848f97560c04ed34bb24d54914984e7fda"],"state_sha256":"c3f04d3173cc7f6fe351a65af40006aeb2ac0c2816d7888f46c58ba330945358"}