{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:PBQXHQIZ7JJ67Q5CIS76RQAVZS","short_pith_number":"pith:PBQXHQIZ","schema_version":"1.0","canonical_sha256":"786173c119fa53efc3a244bfe8c015ccb47d758618b047809b60bda6a355bd2d","source":{"kind":"arxiv","id":"math/0506111","version":4},"attestation_state":"computed","paper":{"title":"Orbifold Quantum Riemann-Roch, Lefschetz and Serre","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Hsian-Hua Tseng","submitted_at":"2005-06-07T06:49:19Z","abstract_excerpt":"Given a vector bundle $F$ on a smooth Deligne-Mumford stack $\\X$ and an invertible multiplicative characteristic class $\\bc$, we define the orbifold Gromov-Witten invariants of $\\X$ twisted by $F$ and $\\bc$. We prove a \"quantum Riemann-Roch theorem\" which expresses the generating function of the twisted invariants in terms of the generating function of the untwisted invariants. A Quantum Lefschetz Hyperplane Theorem is derived from this by specializing to genus zero. As an application, we determine the relationship between genus-0 orbifold Gromov-Witten invariants of $\\X$ and that of a complet"},"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":"math/0506111","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2005-06-07T06:49:19Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"7b3b3552d20f50181f685ef888384377015a7f4450a68aa41d2a37eb640aa662","abstract_canon_sha256":"005aa7dea47a62fb42c721b3d63a2f60792f4664513fca492944e0f8e8d5a621"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:59.771641Z","signature_b64":"PdrSbcwhrgNOeR8jItGSiPZiX12G3FpfdW8Z5bocEKEzoqe+6jjwv4GwVGaOmWX2QhLEWsFb05uSzliCh4XNCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"786173c119fa53efc3a244bfe8c015ccb47d758618b047809b60bda6a355bd2d","last_reissued_at":"2026-05-18T02:37:59.771220Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:59.771220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Orbifold Quantum Riemann-Roch, Lefschetz and Serre","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Hsian-Hua Tseng","submitted_at":"2005-06-07T06:49:19Z","abstract_excerpt":"Given a vector bundle $F$ on a smooth Deligne-Mumford stack $\\X$ and an invertible multiplicative characteristic class $\\bc$, we define the orbifold Gromov-Witten invariants of $\\X$ twisted by $F$ and $\\bc$. We prove a \"quantum Riemann-Roch theorem\" which expresses the generating function of the twisted invariants in terms of the generating function of the untwisted invariants. A Quantum Lefschetz Hyperplane Theorem is derived from this by specializing to genus zero. As an application, we determine the relationship between genus-0 orbifold Gromov-Witten invariants of $\\X$ and that of a complet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0506111","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"math/0506111","created_at":"2026-05-18T02:37:59.771283+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0506111v4","created_at":"2026-05-18T02:37:59.771283+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0506111","created_at":"2026-05-18T02:37:59.771283+00:00"},{"alias_kind":"pith_short_12","alias_value":"PBQXHQIZ7JJ6","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"PBQXHQIZ7JJ67Q5C","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"PBQXHQIZ","created_at":"2026-05-18T12:25:53.335082+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.00633","citing_title":"Non-commutative resolutions and pre-quotients of Calabi-Yau double covers","ref_index":54,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PBQXHQIZ7JJ67Q5CIS76RQAVZS","json":"https://pith.science/pith/PBQXHQIZ7JJ67Q5CIS76RQAVZS.json","graph_json":"https://pith.science/api/pith-number/PBQXHQIZ7JJ67Q5CIS76RQAVZS/graph.json","events_json":"https://pith.science/api/pith-number/PBQXHQIZ7JJ67Q5CIS76RQAVZS/events.json","paper":"https://pith.science/paper/PBQXHQIZ"},"agent_actions":{"view_html":"https://pith.science/pith/PBQXHQIZ7JJ67Q5CIS76RQAVZS","download_json":"https://pith.science/pith/PBQXHQIZ7JJ67Q5CIS76RQAVZS.json","view_paper":"https://pith.science/paper/PBQXHQIZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0506111&json=true","fetch_graph":"https://pith.science/api/pith-number/PBQXHQIZ7JJ67Q5CIS76RQAVZS/graph.json","fetch_events":"https://pith.science/api/pith-number/PBQXHQIZ7JJ67Q5CIS76RQAVZS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PBQXHQIZ7JJ67Q5CIS76RQAVZS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PBQXHQIZ7JJ67Q5CIS76RQAVZS/action/storage_attestation","attest_author":"https://pith.science/pith/PBQXHQIZ7JJ67Q5CIS76RQAVZS/action/author_attestation","sign_citation":"https://pith.science/pith/PBQXHQIZ7JJ67Q5CIS76RQAVZS/action/citation_signature","submit_replication":"https://pith.science/pith/PBQXHQIZ7JJ67Q5CIS76RQAVZS/action/replication_record"}},"created_at":"2026-05-18T02:37:59.771283+00:00","updated_at":"2026-05-18T02:37:59.771283+00:00"}