{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:WCM7UJRKAPQ7RJDDAI5UIVZC5Y","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":"a08e3708d43ff9addb7dde795ef52d95fb67fda654fe9ff9ee48269deb05399c","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2004-01-28T18:29:31Z","title_canon_sha256":"e1eca0792e6f7363a0e8699ba461a96f183dbe4a6cf64c0e88742be0a951a08e"},"schema_version":"1.0","source":{"id":"math/0401394","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0401394","created_at":"2026-05-18T03:06:52Z"},{"alias_kind":"arxiv_version","alias_value":"math/0401394v2","created_at":"2026-05-18T03:06:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0401394","created_at":"2026-05-18T03:06:52Z"},{"alias_kind":"pith_short_12","alias_value":"WCM7UJRKAPQ7","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"WCM7UJRKAPQ7RJDD","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"WCM7UJRK","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:758f62af989a1ab51d9474d4aeb3daa8176c405e762e1cf1a3739e9059c27a35","target":"graph","created_at":"2026-05-18T03:06:52Z","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":"The gonality conjecture predicts that the gonality of a curve can be read off Koszul cohomology of line bundles of sufficiently large degree. We verify this conjecture for generic curves of odd genus. The even-genus case was previously solved in the joint work arXiv:math.AG/0301261.","authors_text":"Marian Aprodu","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2004-01-28T18:29:31Z","title":"Green-Lazarsfeld's Gonality Conjecture for a Generic Curve of Odd Genus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0401394","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":"sha256:14f2edc753ef19db657688904555563da76de693605a0d3217890411a08d1318","target":"record","created_at":"2026-05-18T03:06:52Z","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":"a08e3708d43ff9addb7dde795ef52d95fb67fda654fe9ff9ee48269deb05399c","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2004-01-28T18:29:31Z","title_canon_sha256":"e1eca0792e6f7363a0e8699ba461a96f183dbe4a6cf64c0e88742be0a951a08e"},"schema_version":"1.0","source":{"id":"math/0401394","kind":"arxiv","version":2}},"canonical_sha256":"b099fa262a03e1f8a463023b445722ee29649982d449bdab0ce4405c6e08f865","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b099fa262a03e1f8a463023b445722ee29649982d449bdab0ce4405c6e08f865","first_computed_at":"2026-05-18T03:06:52.390926Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:52.390926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b9D8lO1mF66aLbsuvVGaf4SDPTKbQMngjuPQqsAj5yeKt4lVnuN68eFrwP3R7kxP84gmR7C2cyc1gEWkZ/lUBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:52.391544Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0401394","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14f2edc753ef19db657688904555563da76de693605a0d3217890411a08d1318","sha256:758f62af989a1ab51d9474d4aeb3daa8176c405e762e1cf1a3739e9059c27a35"],"state_sha256":"1098fed373284cc1c59ad743ff08dfddc7e3e619689ee6b1bd8ed904bed31d6e"}