{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:7B6VFXELREBEL23CTFPGOKZDHJ","short_pith_number":"pith:7B6VFXEL","schema_version":"1.0","canonical_sha256":"f87d52dc8b890245eb62995e672b233a4971803648cd0cd4429e7ce083790d94","source":{"kind":"arxiv","id":"2412.05287","version":1},"attestation_state":"computed","paper":{"title":"Hodge integrals and $\\lambda_{g}$ conjecture with target varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Xin Wang","submitted_at":"2024-11-21T11:00:54Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2412.05287","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-11-21T11:00:54Z","cross_cats_sorted":[],"title_canon_sha256":"30e9024d0ce0529225a09f701f5aab0c7cb011bcca2b436033d9f79e2b8e9bde","abstract_canon_sha256":"14b2adab70a0b8e2ebf6f8a501a7e940361619e8ca52837971cd3abaa99ecaa8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:46:00.758886Z","signature_b64":"JXDJvMml+fotUjctisEHKYSYui2SEkaXWq6WruJH4dK5c0W0aHxhIgkfUdcKkbgZUaPfP22ECI/azkok1OyNDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f87d52dc8b890245eb62995e672b233a4971803648cd0cd4429e7ce083790d94","last_reissued_at":"2026-07-05T09:46:00.758502Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:46:00.758502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hodge integrals and $\\lambda_{g}$ conjecture with target varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Xin Wang","submitted_at":"2024-11-21T11:00:54Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.05287","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.05287/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2412.05287","created_at":"2026-07-05T09:46:00.758555+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.05287v1","created_at":"2026-07-05T09:46:00.758555+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.05287","created_at":"2026-07-05T09:46:00.758555+00:00"},{"alias_kind":"pith_short_12","alias_value":"7B6VFXELREBE","created_at":"2026-07-05T09:46:00.758555+00:00"},{"alias_kind":"pith_short_16","alias_value":"7B6VFXELREBEL23C","created_at":"2026-07-05T09:46:00.758555+00:00"},{"alias_kind":"pith_short_8","alias_value":"7B6VFXEL","created_at":"2026-07-05T09:46:00.758555+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7B6VFXELREBEL23CTFPGOKZDHJ","json":"https://pith.science/pith/7B6VFXELREBEL23CTFPGOKZDHJ.json","graph_json":"https://pith.science/api/pith-number/7B6VFXELREBEL23CTFPGOKZDHJ/graph.json","events_json":"https://pith.science/api/pith-number/7B6VFXELREBEL23CTFPGOKZDHJ/events.json","paper":"https://pith.science/paper/7B6VFXEL"},"agent_actions":{"view_html":"https://pith.science/pith/7B6VFXELREBEL23CTFPGOKZDHJ","download_json":"https://pith.science/pith/7B6VFXELREBEL23CTFPGOKZDHJ.json","view_paper":"https://pith.science/paper/7B6VFXEL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.05287&json=true","fetch_graph":"https://pith.science/api/pith-number/7B6VFXELREBEL23CTFPGOKZDHJ/graph.json","fetch_events":"https://pith.science/api/pith-number/7B6VFXELREBEL23CTFPGOKZDHJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7B6VFXELREBEL23CTFPGOKZDHJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7B6VFXELREBEL23CTFPGOKZDHJ/action/storage_attestation","attest_author":"https://pith.science/pith/7B6VFXELREBEL23CTFPGOKZDHJ/action/author_attestation","sign_citation":"https://pith.science/pith/7B6VFXELREBEL23CTFPGOKZDHJ/action/citation_signature","submit_replication":"https://pith.science/pith/7B6VFXELREBEL23CTFPGOKZDHJ/action/replication_record"}},"created_at":"2026-07-05T09:46:00.758555+00:00","updated_at":"2026-07-05T09:46:00.758555+00:00"}