{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:7B6VFXELREBEL23CTFPGOKZDHJ","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":"14b2adab70a0b8e2ebf6f8a501a7e940361619e8ca52837971cd3abaa99ecaa8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-11-21T11:00:54Z","title_canon_sha256":"30e9024d0ce0529225a09f701f5aab0c7cb011bcca2b436033d9f79e2b8e9bde"},"schema_version":"1.0","source":{"id":"2412.05287","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.05287","created_at":"2026-07-05T09:46:00Z"},{"alias_kind":"arxiv_version","alias_value":"2412.05287v1","created_at":"2026-07-05T09:46:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.05287","created_at":"2026-07-05T09:46:00Z"},{"alias_kind":"pith_short_12","alias_value":"7B6VFXELREBE","created_at":"2026-07-05T09:46:00Z"},{"alias_kind":"pith_short_16","alias_value":"7B6VFXELREBEL23C","created_at":"2026-07-05T09:46:00Z"},{"alias_kind":"pith_short_8","alias_value":"7B6VFXEL","created_at":"2026-07-05T09:46:00Z"}],"graph_snapshots":[{"event_id":"sha256:7ffdb3810ce02237b2a400d8664021885892dc77ea5ed6252eb2b7d8f3421578","target":"graph","created_at":"2026-07-05T09:46:00Z","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/2412.05287/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we propose $\\lambda_{g}$ conjecture for Hodge integrals with target varieties. Then we establish relations between Virasoro conjecture and $\\lambda_{g}$ conjecture, in particular, we prove $\\lambda_{g}$ conjecture in all genus for smooth projective varieties with semisimple quantum cohomology or smooth algebraic curves. Meanwhile, we also prove $\\lambda_{g}$ conjecture in genus zero for any smooth projective varieties. In the end, together with DR formula for $\\lambda_g$ class, we obtain a new type of universal constraints for descendant Gromov-Witten invariants. As an applicati","authors_text":"Xin Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-11-21T11:00:54Z","title":"Hodge integrals and $\\lambda_{g}$ conjecture with target varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.05287","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:d3e4635d79e4d4c2d18815374694d0b25935d859948e7daf401d86fe22a749da","target":"record","created_at":"2026-07-05T09:46:00Z","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":"14b2adab70a0b8e2ebf6f8a501a7e940361619e8ca52837971cd3abaa99ecaa8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-11-21T11:00:54Z","title_canon_sha256":"30e9024d0ce0529225a09f701f5aab0c7cb011bcca2b436033d9f79e2b8e9bde"},"schema_version":"1.0","source":{"id":"2412.05287","kind":"arxiv","version":1}},"canonical_sha256":"f87d52dc8b890245eb62995e672b233a4971803648cd0cd4429e7ce083790d94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f87d52dc8b890245eb62995e672b233a4971803648cd0cd4429e7ce083790d94","first_computed_at":"2026-07-05T09:46:00.758502Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:46:00.758502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JXDJvMml+fotUjctisEHKYSYui2SEkaXWq6WruJH4dK5c0W0aHxhIgkfUdcKkbgZUaPfP22ECI/azkok1OyNDg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:46:00.758886Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.05287","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3e4635d79e4d4c2d18815374694d0b25935d859948e7daf401d86fe22a749da","sha256:7ffdb3810ce02237b2a400d8664021885892dc77ea5ed6252eb2b7d8f3421578"],"state_sha256":"7e7fbe882694d66c7935ece272ae0d7ac8d1ea7c91792dda580ef0493f58321a"}