{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5QLVTT5X5T24GCJXOTFKNAWA5O","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":"a3b3acfae15af9e916aa826dffbc8a58b64fcd2b70401fc2f83ea46e538f0af4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-22T21:34:26Z","title_canon_sha256":"fd00db1435274104278d43d107e6f049702be62098339180f11372b85ae657f0"},"schema_version":"1.0","source":{"id":"1405.5914","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.5914","created_at":"2026-05-18T02:51:14Z"},{"alias_kind":"arxiv_version","alias_value":"1405.5914v1","created_at":"2026-05-18T02:51:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.5914","created_at":"2026-05-18T02:51:14Z"},{"alias_kind":"pith_short_12","alias_value":"5QLVTT5X5T24","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5QLVTT5X5T24GCJX","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5QLVTT5X","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:14a0233f22e3931a573854ba0e77d91a649c1d00cb65d33bda45ad34c9cb0ef9","target":"graph","created_at":"2026-05-18T02:51:14Z","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":"We give sufficient conditions for the semisimplicity of quantum cohomology of Fano varieties of Picard rank 1. We apply these techniques to prove new semisimplicity results for some Fano varieties of Picard rank 1 and large index. We also give examples of Fano varieties having a non semisimple small quantum cohomology but a semisimple big quantum cohomology.","authors_text":"Nicolas Perrin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-22T21:34:26Z","title":"Semisimple quantum cohomology of some Fano varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5914","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":"sha256:03fca83fa89fc29344984afc57b3011333f09956eb9fd8d2a95c917c759c0169","target":"record","created_at":"2026-05-18T02:51:14Z","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":"a3b3acfae15af9e916aa826dffbc8a58b64fcd2b70401fc2f83ea46e538f0af4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-22T21:34:26Z","title_canon_sha256":"fd00db1435274104278d43d107e6f049702be62098339180f11372b85ae657f0"},"schema_version":"1.0","source":{"id":"1405.5914","kind":"arxiv","version":1}},"canonical_sha256":"ec1759cfb7ecf5c3093774caa682c0eb9c5d8251dda5f0b6830584d213435f6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec1759cfb7ecf5c3093774caa682c0eb9c5d8251dda5f0b6830584d213435f6c","first_computed_at":"2026-05-18T02:51:14.485578Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:14.485578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JIORVRp+32+de+GibUOgMXztUQSTwbxdzYAx7HdGBPfuKefjFMea6Hlf3HRmKEzfyqy244RWlLIxXnVaNNXkAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:14.486014Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.5914","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:03fca83fa89fc29344984afc57b3011333f09956eb9fd8d2a95c917c759c0169","sha256:14a0233f22e3931a573854ba0e77d91a649c1d00cb65d33bda45ad34c9cb0ef9"],"state_sha256":"3b79c08c5f5067194b2a8a557cd1c4753fded6792b31fba2c243998cb5ee7b69"}