{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:VYFBLE3NULUM4NDKOX5LBQZXQ3","short_pith_number":"pith:VYFBLE3N","schema_version":"1.0","canonical_sha256":"ae0a15936da2e8ce346a75fab0c33786e2be4a8645bfb4d92e72efc626431744","source":{"kind":"arxiv","id":"1310.4163","version":5},"attestation_state":"computed","paper":{"title":"A Mirror Theorem for Toric Stacks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alessio Corti, Hiroshi Iritani, Hsian-Hua Tseng, Tom Coates","submitted_at":"2013-10-15T19:50:37Z","abstract_excerpt":"We prove a Givental-style mirror theorem for toric Deligne--Mumford stacks X. This determines the genus-zero Gromov--Witten invariants of X in terms of an explicit hypergeometric function, called the I-function, that takes values in the Chen--Ruan orbifold cohomology of X."},"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":"1310.4163","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-15T19:50:37Z","cross_cats_sorted":[],"title_canon_sha256":"80d10ba6a24bec23a25dce8281dce5a6be66655b1adb9a93928e8e461c6558c5","abstract_canon_sha256":"045b0b2e629ebcdff2db38019d9c75e8a64341c694dd3406b5806a21aaaf1c4d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:11.764472Z","signature_b64":"xwVa04CF742wTboPcaeytgt62duTrbLsvObuab6RPaVOVoSpQfGuIcD3ybKDOERK0GutnAtyyjSEoTsx0Qz5CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae0a15936da2e8ce346a75fab0c33786e2be4a8645bfb4d92e72efc626431744","last_reissued_at":"2026-05-18T01:29:11.763760Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:11.763760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Mirror Theorem for Toric Stacks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alessio Corti, Hiroshi Iritani, Hsian-Hua Tseng, Tom Coates","submitted_at":"2013-10-15T19:50:37Z","abstract_excerpt":"We prove a Givental-style mirror theorem for toric Deligne--Mumford stacks X. This determines the genus-zero Gromov--Witten invariants of X in terms of an explicit hypergeometric function, called the I-function, that takes values in the Chen--Ruan orbifold cohomology of X."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4163","kind":"arxiv","version":5},"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":"1310.4163","created_at":"2026-05-18T01:29:11.763868+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.4163v5","created_at":"2026-05-18T01:29:11.763868+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4163","created_at":"2026-05-18T01:29:11.763868+00:00"},{"alias_kind":"pith_short_12","alias_value":"VYFBLE3NULUM","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"VYFBLE3NULUM4NDK","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"VYFBLE3N","created_at":"2026-05-18T12:28:04.890932+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":53,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VYFBLE3NULUM4NDKOX5LBQZXQ3","json":"https://pith.science/pith/VYFBLE3NULUM4NDKOX5LBQZXQ3.json","graph_json":"https://pith.science/api/pith-number/VYFBLE3NULUM4NDKOX5LBQZXQ3/graph.json","events_json":"https://pith.science/api/pith-number/VYFBLE3NULUM4NDKOX5LBQZXQ3/events.json","paper":"https://pith.science/paper/VYFBLE3N"},"agent_actions":{"view_html":"https://pith.science/pith/VYFBLE3NULUM4NDKOX5LBQZXQ3","download_json":"https://pith.science/pith/VYFBLE3NULUM4NDKOX5LBQZXQ3.json","view_paper":"https://pith.science/paper/VYFBLE3N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.4163&json=true","fetch_graph":"https://pith.science/api/pith-number/VYFBLE3NULUM4NDKOX5LBQZXQ3/graph.json","fetch_events":"https://pith.science/api/pith-number/VYFBLE3NULUM4NDKOX5LBQZXQ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VYFBLE3NULUM4NDKOX5LBQZXQ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VYFBLE3NULUM4NDKOX5LBQZXQ3/action/storage_attestation","attest_author":"https://pith.science/pith/VYFBLE3NULUM4NDKOX5LBQZXQ3/action/author_attestation","sign_citation":"https://pith.science/pith/VYFBLE3NULUM4NDKOX5LBQZXQ3/action/citation_signature","submit_replication":"https://pith.science/pith/VYFBLE3NULUM4NDKOX5LBQZXQ3/action/replication_record"}},"created_at":"2026-05-18T01:29:11.763868+00:00","updated_at":"2026-05-18T01:29:11.763868+00:00"}