{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZFHZYY3AFKTPTS5OGOKL7CSYD4","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":"055b07960da8b0516299d5fb0a833bf0bc12ba4d7481de8b6a090ff86b6ff612","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-05-24T13:27:18Z","title_canon_sha256":"dc55193f439b23495c50e57707be842687136043c704946278e6073a69543eef"},"schema_version":"1.0","source":{"id":"1305.5722","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5722","created_at":"2026-05-18T03:25:03Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5722v1","created_at":"2026-05-18T03:25:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5722","created_at":"2026-05-18T03:25:03Z"},{"alias_kind":"pith_short_12","alias_value":"ZFHZYY3AFKTP","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZFHZYY3AFKTPTS5O","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZFHZYY3A","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:cd55d398abc7698bcea731aacb07cabd7258c80fc4f102e0b0aa2ec9694c0bac","target":"graph","created_at":"2026-05-18T03:25:03Z","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 any generalized flag variety with Picard group of rank one. Given a degree d, consider the Gromov-Witten variety of rational curves of degree d in X that meet three general points. We prove that, if this Gromov-Witten variety is rationally connected for all large degrees d, then the structure constants of the small quantum K-theory ring of X vanish for large degrees.","authors_text":"Anders S. Buch, Leonardo C. Mihalcea, Nicolas Perrin, Pierre-Emmanuel Chaput","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-05-24T13:27:18Z","title":"Rational connectedness implies finiteness of quantum K-theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5722","kind":"arxiv","version":1},"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":"sha256:28b6f15dfcdf9995f667e26bdcfffb2dff27aa4a42d7bbd18cf56a2bf298257f","target":"record","created_at":"2026-05-18T03:25:03Z","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":"055b07960da8b0516299d5fb0a833bf0bc12ba4d7481de8b6a090ff86b6ff612","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-05-24T13:27:18Z","title_canon_sha256":"dc55193f439b23495c50e57707be842687136043c704946278e6073a69543eef"},"schema_version":"1.0","source":{"id":"1305.5722","kind":"arxiv","version":1}},"canonical_sha256":"c94f9c63602aa6f9cbae3394bf8a581f1355581307dd70b28fbdef15573e1bfe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c94f9c63602aa6f9cbae3394bf8a581f1355581307dd70b28fbdef15573e1bfe","first_computed_at":"2026-05-18T03:25:03.391688Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:03.391688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m+H9PhhNi3lCaWwtc6l5MN5mOUXSvZLciFwnjCoF1qSP7MZk9VivWi7w7cOC0tuGyBJapOJUv02EHur82+5ACQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:03.392376Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.5722","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28b6f15dfcdf9995f667e26bdcfffb2dff27aa4a42d7bbd18cf56a2bf298257f","sha256:cd55d398abc7698bcea731aacb07cabd7258c80fc4f102e0b0aa2ec9694c0bac"],"state_sha256":"2bd97a43e11c68118c98be44230496617ec5caf6b9bffc299a127580a73145c5"}