{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:FZJDZD5BVQZG7A3EHAG46FNYGR","short_pith_number":"pith:FZJDZD5B","schema_version":"1.0","canonical_sha256":"2e523c8fa1ac326f8364380dcf15b8347cbdb2277bdfcd0e0d3f8a49b7c74505","source":{"kind":"arxiv","id":"0903.4459","version":6},"attestation_state":"computed","paper":{"title":"Morphisms of CohFT algebras and quantization of the Kirwan map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AG","authors_text":"Chris Woodward, Fabian Ziltener, Khoa Lu Nguyen","submitted_at":"2009-03-25T20:20:34Z","abstract_excerpt":"We introduce a notion of morphism of CohFT algebras, based on the analogy with A-infinity morphisms. We discuss a \"quantization\" of the classical Kirwan morphism to a morphism of CohFT algebras from the equivariant quantum cohomology of a G-variety to the quantum cohomology of its git or symplectic quotient, and an example relating to the orbifold quantum cohomology of a compact toric orbifold. Finally we identify the space of Cartier divisors on the moduli space of scaled marked curves; these appear in the splitting axiom."},"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":"0903.4459","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-03-25T20:20:34Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"cd6192e2188716863cf580adc8e35a8c56ce2a07c2a4bb6a415f1604c2dbec43","abstract_canon_sha256":"23ea53cadad4e78ecf73ce0aa73653add22d6de7354c3dcf227457b183fa60f0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:05.616337Z","signature_b64":"O0OCz2i/DhSo+IQor+cz9S5OLTDOxlaHvLEyQKoEqmijf09llcbRZo9Yxgd/LHFF/IGo+yo+tKIIB401Ms8hBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e523c8fa1ac326f8364380dcf15b8347cbdb2277bdfcd0e0d3f8a49b7c74505","last_reissued_at":"2026-05-18T03:39:05.615630Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:05.615630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Morphisms of CohFT algebras and quantization of the Kirwan map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AG","authors_text":"Chris Woodward, Fabian Ziltener, Khoa Lu Nguyen","submitted_at":"2009-03-25T20:20:34Z","abstract_excerpt":"We introduce a notion of morphism of CohFT algebras, based on the analogy with A-infinity morphisms. We discuss a \"quantization\" of the classical Kirwan morphism to a morphism of CohFT algebras from the equivariant quantum cohomology of a G-variety to the quantum cohomology of its git or symplectic quotient, and an example relating to the orbifold quantum cohomology of a compact toric orbifold. Finally we identify the space of Cartier divisors on the moduli space of scaled marked curves; these appear in the splitting axiom."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.4459","kind":"arxiv","version":6},"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":"0903.4459","created_at":"2026-05-18T03:39:05.615720+00:00"},{"alias_kind":"arxiv_version","alias_value":"0903.4459v6","created_at":"2026-05-18T03:39:05.615720+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.4459","created_at":"2026-05-18T03:39:05.615720+00:00"},{"alias_kind":"pith_short_12","alias_value":"FZJDZD5BVQZG","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"FZJDZD5BVQZG7A3E","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"FZJDZD5B","created_at":"2026-05-18T12:25:59.703012+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/FZJDZD5BVQZG7A3EHAG46FNYGR","json":"https://pith.science/pith/FZJDZD5BVQZG7A3EHAG46FNYGR.json","graph_json":"https://pith.science/api/pith-number/FZJDZD5BVQZG7A3EHAG46FNYGR/graph.json","events_json":"https://pith.science/api/pith-number/FZJDZD5BVQZG7A3EHAG46FNYGR/events.json","paper":"https://pith.science/paper/FZJDZD5B"},"agent_actions":{"view_html":"https://pith.science/pith/FZJDZD5BVQZG7A3EHAG46FNYGR","download_json":"https://pith.science/pith/FZJDZD5BVQZG7A3EHAG46FNYGR.json","view_paper":"https://pith.science/paper/FZJDZD5B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0903.4459&json=true","fetch_graph":"https://pith.science/api/pith-number/FZJDZD5BVQZG7A3EHAG46FNYGR/graph.json","fetch_events":"https://pith.science/api/pith-number/FZJDZD5BVQZG7A3EHAG46FNYGR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FZJDZD5BVQZG7A3EHAG46FNYGR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FZJDZD5BVQZG7A3EHAG46FNYGR/action/storage_attestation","attest_author":"https://pith.science/pith/FZJDZD5BVQZG7A3EHAG46FNYGR/action/author_attestation","sign_citation":"https://pith.science/pith/FZJDZD5BVQZG7A3EHAG46FNYGR/action/citation_signature","submit_replication":"https://pith.science/pith/FZJDZD5BVQZG7A3EHAG46FNYGR/action/replication_record"}},"created_at":"2026-05-18T03:39:05.615720+00:00","updated_at":"2026-05-18T03:39:05.615720+00:00"}