{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WTBYEI5HH2X6JFORR2ACU2QILT","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":"fdcfa3186c66f8f5607754a00c05c74547b23b287c40cf5b88fe134a805fa5e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-30T18:10:57Z","title_canon_sha256":"1311f6dd4970bbe24449c994daa14b2f385681046f3f4a3196db889501e23fe1"},"schema_version":"1.0","source":{"id":"1710.11158","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.11158","created_at":"2026-07-05T02:44:30Z"},{"alias_kind":"arxiv_version","alias_value":"1710.11158v4","created_at":"2026-07-05T02:44:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.11158","created_at":"2026-07-05T02:44:30Z"},{"alias_kind":"pith_short_12","alias_value":"WTBYEI5HH2X6","created_at":"2026-07-05T02:44:30Z"},{"alias_kind":"pith_short_16","alias_value":"WTBYEI5HH2X6JFOR","created_at":"2026-07-05T02:44:30Z"},{"alias_kind":"pith_short_8","alias_value":"WTBYEI5H","created_at":"2026-07-05T02:44:30Z"}],"graph_snapshots":[{"event_id":"sha256:add6e14bfc2efdf79450f1d58e14b32e9cf93ed4110f00e9dc39bae14ccd2813","target":"graph","created_at":"2026-07-05T02:44:30Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1710.11158/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct and study the theory of relative quasimaps in genus zero, in the spirit of Gathmann. When $X$ is a smooth toric variety and $Y$ is a smooth very ample hypersurface in $X$, we produce a virtual class on the moduli space of relative quasimaps to $(X,Y)$, which we use to define relative quasimap invariants. We obtain a recursion formula which expresses each relative invariant in terms of invariants of lower tangency, and apply this formula to derive a quantum Lefschetz theorem for quasimaps, expressing the restricted quasimap invariants of $Y$ in terms of those of $X$. Finally, we sh","authors_text":"Luca Battistella, Navid Nabijou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-30T18:10:57Z","title":"Relative quasimaps and mirror formulae"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.11158","kind":"arxiv","version":4},"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":"sha256:2d5b1db029dc82b23f70f003e78904ded873bd95c601bbbd6b01f8c60ecc590d","target":"record","created_at":"2026-07-05T02:44:30Z","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":"fdcfa3186c66f8f5607754a00c05c74547b23b287c40cf5b88fe134a805fa5e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-30T18:10:57Z","title_canon_sha256":"1311f6dd4970bbe24449c994daa14b2f385681046f3f4a3196db889501e23fe1"},"schema_version":"1.0","source":{"id":"1710.11158","kind":"arxiv","version":4}},"canonical_sha256":"b4c38223a73eafe495d18e802a6a085cd6123a1704f8cc0c71c4500b94a4eccf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4c38223a73eafe495d18e802a6a085cd6123a1704f8cc0c71c4500b94a4eccf","first_computed_at":"2026-07-05T02:44:30.350690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:44:30.350690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C9bUyDIyEb+sWCGhhsWpvyqUrofJaDPByiXX6KC02UlpSRjpa03B8UZ9Ub6fjglNfielC12TzyTq0rK3YztFDw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:44:30.351246Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.11158","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d5b1db029dc82b23f70f003e78904ded873bd95c601bbbd6b01f8c60ecc590d","sha256:add6e14bfc2efdf79450f1d58e14b32e9cf93ed4110f00e9dc39bae14ccd2813"],"state_sha256":"3a6aa6ce48dc9c5f58507a19654f4e4a5b8056a5531ed2feb99d9ce953a3e98c"}