{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YIUVEYBUIAJXHAIUTYTPCH4RWK","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":"df38f69ad7dddd47aa31d34f688c985a824823a041111fc0f66f86f5fd35d22c","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-31T15:43:54Z","title_canon_sha256":"da2bb793b75e8fbac0edddb92978156b624703c478a2f1a588c6ee3991f1beab"},"schema_version":"1.0","source":{"id":"1101.5996","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5996","created_at":"2026-05-18T04:30:13Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5996v2","created_at":"2026-05-18T04:30:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5996","created_at":"2026-05-18T04:30:13Z"},{"alias_kind":"pith_short_12","alias_value":"YIUVEYBUIAJX","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YIUVEYBUIAJXHAIU","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YIUVEYBU","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:d31d580f82fe0e34e33a8d7f13457e41b8209e1904e439edde028c960e30e7c2","target":"graph","created_at":"2026-05-18T04:30:13Z","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"},"paper":{"abstract_excerpt":"Let $X$ be a smooth complex projective algebraic variety. Let $\\mathcal{G}$ be a $G$-banded gerbe with $G$ a finite abelian group. We prove an exact formula expressing genus $g$ orbifold Gromov-Witten invariants of $\\mathcal{G}$ in terms of those of $X$.","authors_text":"Elena Andreini, Hsian-Hua Tseng, Yunfeng Jiang","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-31T15:43:54Z","title":"Gromov-Witten theory of banded gerbes over schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5996","kind":"arxiv","version":2},"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:cc8dbdfc0c3870b1a0632b106961d616fdb72fd56e4d2a2203bb180a867439ac","target":"record","created_at":"2026-05-18T04:30:13Z","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":"df38f69ad7dddd47aa31d34f688c985a824823a041111fc0f66f86f5fd35d22c","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-01-31T15:43:54Z","title_canon_sha256":"da2bb793b75e8fbac0edddb92978156b624703c478a2f1a588c6ee3991f1beab"},"schema_version":"1.0","source":{"id":"1101.5996","kind":"arxiv","version":2}},"canonical_sha256":"c22952603440137381149e26f11f91b2815f8f73607c1a8580d562f78cf4f891","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c22952603440137381149e26f11f91b2815f8f73607c1a8580d562f78cf4f891","first_computed_at":"2026-05-18T04:30:13.347264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:13.347264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PhmqawNU+O56idxeJSwTT/RiIqs6iB/8yePqnQO+GKp2emEww58ZDQ2YI0i9QUDAdrfM3EDDmGdT7F7mJZ4tBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:13.347888Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5996","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc8dbdfc0c3870b1a0632b106961d616fdb72fd56e4d2a2203bb180a867439ac","sha256:d31d580f82fe0e34e33a8d7f13457e41b8209e1904e439edde028c960e30e7c2"],"state_sha256":"3d63719358aa5bf3e4e91f98181fa4dc1a55173467cd6fbd43beccb675cb7a42"}