{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:W2OPSWZX3XAEP7X443P5UKUG2A","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":"b4d88389c5216e229f9332b7917a97e521c0e6e1baa9e96141ccefe77b33f30f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-23T06:30:12Z","title_canon_sha256":"6a1552863645e205edd7819fd1e3a8f93139313525850dee53ba632c1d13c643"},"schema_version":"1.0","source":{"id":"1707.07252","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.07252","created_at":"2026-05-17T23:48:46Z"},{"alias_kind":"arxiv_version","alias_value":"1707.07252v2","created_at":"2026-05-17T23:48:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07252","created_at":"2026-05-17T23:48:46Z"},{"alias_kind":"pith_short_12","alias_value":"W2OPSWZX3XAE","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"W2OPSWZX3XAEP7X4","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"W2OPSWZX","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:7f4f31ded3041f50709c6d37749c85ba7aa267fcd6642691a802c8afcebfcd19","target":"graph","created_at":"2026-05-17T23:48:46Z","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":"This paper concerns the existence of curves with low gonality on smooth hypersurfaces of sufficiently large degree. It has been recently proved that if $X\\subset \\mathbb{P}^{n+1}$ is a hypersurface of degree $d\\geq n+2$, and if $C\\subset X$ is an irreducible curve passing through a general point of $X$, then its gonality verifies $\\mathrm{gon}(C)\\geq d-n$, and equality is attained on some special hypersurfaces. We prove that if $X\\subset \\mathbb{P}^{n+1}$ is a very general hypersurface of degree $d\\geq 2n+2$, the least gonality of an irreducible curve $C\\subset X$ passing through a general poi","authors_text":"Ciro Ciliberto, Flaminio Flamini, Francesco Bastianelli, Paola Supino","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-23T06:30:12Z","title":"Gonality of curves on general hypersurfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07252","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":"sha256:7a538b122762b4c3c8cb284e7a4d0be6093a4b4e62d6ad34c2ba7e067a722f19","target":"record","created_at":"2026-05-17T23:48:46Z","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":"b4d88389c5216e229f9332b7917a97e521c0e6e1baa9e96141ccefe77b33f30f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-23T06:30:12Z","title_canon_sha256":"6a1552863645e205edd7819fd1e3a8f93139313525850dee53ba632c1d13c643"},"schema_version":"1.0","source":{"id":"1707.07252","kind":"arxiv","version":2}},"canonical_sha256":"b69cf95b37ddc047fefce6dfda2a86d03638de4655c3c0fcaec4b49b02deed59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b69cf95b37ddc047fefce6dfda2a86d03638de4655c3c0fcaec4b49b02deed59","first_computed_at":"2026-05-17T23:48:46.069518Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:46.069518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"htBQj9Z0gDkq+t4j+rR0oKge0KJSE0kSJgcO+wA3RLaeBBT0+YAHs7Vpp9rdHdffg5zSzpEwn5k1qvWrfq8nBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:46.069920Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.07252","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a538b122762b4c3c8cb284e7a4d0be6093a4b4e62d6ad34c2ba7e067a722f19","sha256:7f4f31ded3041f50709c6d37749c85ba7aa267fcd6642691a802c8afcebfcd19"],"state_sha256":"7d9bfc72379d24e3879cb1e1877cfc4522725104afcf3ed0b979578649f28022"}