{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:TXG7A5OKBPNCJ6F7OWRE37KGZX","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":"a266fbeda0aabef89878214f105c7ebb30b6ed6575d20e327c6df9e72857b693","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-27T08:52:45Z","title_canon_sha256":"a5d37adae875fba86719e323554fd2588167c0e0952d0b53c0a2df1c8743d5eb"},"schema_version":"1.0","source":{"id":"1903.11294","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.11294","created_at":"2026-05-17T23:48:19Z"},{"alias_kind":"arxiv_version","alias_value":"1903.11294v2","created_at":"2026-05-17T23:48:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.11294","created_at":"2026-05-17T23:48:19Z"},{"alias_kind":"pith_short_12","alias_value":"TXG7A5OKBPNC","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"TXG7A5OKBPNCJ6F7","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"TXG7A5OK","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:fd3cbe1480768dad4501b67c37f1a7c1c77b92b78160405870bd415e83706f3f","target":"graph","created_at":"2026-05-17T23:48:19Z","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 provide enumerative formulas for the degrees of varieties parameterizing hypersurfaces and complete intersections which contain pro-jective subspaces and conics. Besides, we find all cases where the Fano scheme of the general complete intersection is irregular of dimension at least 2, and for the Fano surfaces we deduce formulas for their holomorphic Euler characteristic.","authors_text":"Ciro Ciliberto, M Zaidenberg (IF)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-27T08:52:45Z","title":"On Fano schemes of complete intersections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.11294","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":"sha256:941b469a8c4d3f79fa446285e97c693137adcf02f17fe18a1fcbd81eb81574bc","target":"record","created_at":"2026-05-17T23:48:19Z","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":"a266fbeda0aabef89878214f105c7ebb30b6ed6575d20e327c6df9e72857b693","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-27T08:52:45Z","title_canon_sha256":"a5d37adae875fba86719e323554fd2588167c0e0952d0b53c0a2df1c8743d5eb"},"schema_version":"1.0","source":{"id":"1903.11294","kind":"arxiv","version":2}},"canonical_sha256":"9dcdf075ca0bda24f8bf75a24dfd46cdea813ebeaf34c91a0ff5f1157b18733c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9dcdf075ca0bda24f8bf75a24dfd46cdea813ebeaf34c91a0ff5f1157b18733c","first_computed_at":"2026-05-17T23:48:19.731105Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:19.731105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0Dr66Fux0fwdOjQEBDHuIq5/i7RIxAKhbaZYJcSOI7IX2pvSylkTbSIiIbMkT16Pqjey6XDGvPxHZwFfQtSdCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:19.731764Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.11294","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:941b469a8c4d3f79fa446285e97c693137adcf02f17fe18a1fcbd81eb81574bc","sha256:fd3cbe1480768dad4501b67c37f1a7c1c77b92b78160405870bd415e83706f3f"],"state_sha256":"cbc317c4d98a6285adc695e564d51e34995c3346e25ade31936b7ef1276fb133"}