{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:TIZ5VH2VOOX77M24ZCBZNMQWDE","short_pith_number":"pith:TIZ5VH2V","schema_version":"1.0","canonical_sha256":"9a33da9f5573afffb35cc88396b216190256eb6b8660b884a991720cfc20718f","source":{"kind":"arxiv","id":"1409.3802","version":2},"attestation_state":"computed","paper":{"title":"Kontsevich spaces of rational curves on Fano hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"David Yang, Eric Riedl","submitted_at":"2014-09-12T17:33:30Z","abstract_excerpt":"We investigate the spaces of rational curves on a general hypersurface. In particular, we show that for a general degree $d$ hypersurface in $\\mathbb{P}^n$ with $n \\geq d+2$, the space $\\overline{\\mathcal{M}_{0,0}}(X,e)$ of degree $e$ Kontsevich stable maps from a rational curve to $X$ is an irreducible local complete intersection stack of dimension $e(n-d+1)+n-4$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1409.3802","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-09-12T17:33:30Z","cross_cats_sorted":[],"title_canon_sha256":"c787df334a4ac3262be1c02b8f0ff8bacbe7bc6bea6a4c051d5114a43ee6d6bc","abstract_canon_sha256":"e853e67921155962408dc62161bfdbe5b721c6a406c5217d1929652956df37ad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:24.134370Z","signature_b64":"Z6bZVSKhJretNVPx2oQgIrqoSP8wciodmohJlnaAlyjnZj2FDfD40OUXwKiLUGzPSMnN7sVanrimWJCLXiRZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a33da9f5573afffb35cc88396b216190256eb6b8660b884a991720cfc20718f","last_reissued_at":"2026-05-18T01:03:24.133875Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:24.133875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kontsevich spaces of rational curves on Fano hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"David Yang, Eric Riedl","submitted_at":"2014-09-12T17:33:30Z","abstract_excerpt":"We investigate the spaces of rational curves on a general hypersurface. In particular, we show that for a general degree $d$ hypersurface in $\\mathbb{P}^n$ with $n \\geq d+2$, the space $\\overline{\\mathcal{M}_{0,0}}(X,e)$ of degree $e$ Kontsevich stable maps from a rational curve to $X$ is an irreducible local complete intersection stack of dimension $e(n-d+1)+n-4$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3802","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1409.3802","created_at":"2026-05-18T01:03:24.133945+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.3802v2","created_at":"2026-05-18T01:03:24.133945+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3802","created_at":"2026-05-18T01:03:24.133945+00:00"},{"alias_kind":"pith_short_12","alias_value":"TIZ5VH2VOOX7","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"TIZ5VH2VOOX77M24","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"TIZ5VH2V","created_at":"2026-05-18T12:28:49.207871+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TIZ5VH2VOOX77M24ZCBZNMQWDE","json":"https://pith.science/pith/TIZ5VH2VOOX77M24ZCBZNMQWDE.json","graph_json":"https://pith.science/api/pith-number/TIZ5VH2VOOX77M24ZCBZNMQWDE/graph.json","events_json":"https://pith.science/api/pith-number/TIZ5VH2VOOX77M24ZCBZNMQWDE/events.json","paper":"https://pith.science/paper/TIZ5VH2V"},"agent_actions":{"view_html":"https://pith.science/pith/TIZ5VH2VOOX77M24ZCBZNMQWDE","download_json":"https://pith.science/pith/TIZ5VH2VOOX77M24ZCBZNMQWDE.json","view_paper":"https://pith.science/paper/TIZ5VH2V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.3802&json=true","fetch_graph":"https://pith.science/api/pith-number/TIZ5VH2VOOX77M24ZCBZNMQWDE/graph.json","fetch_events":"https://pith.science/api/pith-number/TIZ5VH2VOOX77M24ZCBZNMQWDE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TIZ5VH2VOOX77M24ZCBZNMQWDE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TIZ5VH2VOOX77M24ZCBZNMQWDE/action/storage_attestation","attest_author":"https://pith.science/pith/TIZ5VH2VOOX77M24ZCBZNMQWDE/action/author_attestation","sign_citation":"https://pith.science/pith/TIZ5VH2VOOX77M24ZCBZNMQWDE/action/citation_signature","submit_replication":"https://pith.science/pith/TIZ5VH2VOOX77M24ZCBZNMQWDE/action/replication_record"}},"created_at":"2026-05-18T01:03:24.133945+00:00","updated_at":"2026-05-18T01:03:24.133945+00:00"}