{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:5IHELIVSJWN6VCL5DWCVJNQPOZ","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":"9f3495765b4b37f1e1af32bc957cefa59de6b49313d7743af94ee32461fdc623","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-03-31T16:32:47Z","title_canon_sha256":"f1945c3c5aff06632376dce84db49bf7e8375568c69d3088c2b68688f87c714f"},"schema_version":"1.0","source":{"id":"0903.5515","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.5515","created_at":"2026-05-18T03:30:12Z"},{"alias_kind":"arxiv_version","alias_value":"0903.5515v4","created_at":"2026-05-18T03:30:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.5515","created_at":"2026-05-18T03:30:12Z"},{"alias_kind":"pith_short_12","alias_value":"5IHELIVSJWN6","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"5IHELIVSJWN6VCL5","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"5IHELIVS","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:3b0a1732cf107bc977adfbba770fec8c5bbacf3e9652b627e1dff590055a9e7e","target":"graph","created_at":"2026-05-18T03:30:12Z","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":"Let SU_C(2) be the moduli space of rank 2 semistable vector bundles with trivial de terminant on a smooth complex algebraic curve C of genus g > 1, we assume C non-hyperellptic if g > 2. In this paper we construct large families of pointed rational normal curves over certain linear sections of SU_C(2). This allows us to give an interpretation of these subvarieties of SUC(2) in terms of the moduli space of curves M_{0,2g}. In fact, there exists a natural linear map SU_C(2) -> P^g with modular meaning, whose fibers are birational to M_{0,2g}, the moduli space of 2g-pointed genus zero curves. If ","authors_text":"Alberto Alzati, Michele Bolognesi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-03-31T16:32:47Z","title":"On rational maps between moduli spaces of curves and of vector bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.5515","kind":"arxiv","version":4},"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":"sha256:13ad12dcba15c54342a021874f33d995fa7e331e1b872b20099feb5e9a39887f","target":"record","created_at":"2026-05-18T03:30:12Z","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":"9f3495765b4b37f1e1af32bc957cefa59de6b49313d7743af94ee32461fdc623","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-03-31T16:32:47Z","title_canon_sha256":"f1945c3c5aff06632376dce84db49bf7e8375568c69d3088c2b68688f87c714f"},"schema_version":"1.0","source":{"id":"0903.5515","kind":"arxiv","version":4}},"canonical_sha256":"ea0e45a2b24d9bea897d1d8554b60f76433b94c145da69510428bc816d69653e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea0e45a2b24d9bea897d1d8554b60f76433b94c145da69510428bc816d69653e","first_computed_at":"2026-05-18T03:30:12.887934Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:12.887934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"no0NKq10LV7L2y17MysLJ6bPxsTDvdXz7mvVVQFqUrO0stCcXAfE3ygDuborHifSvj+m8y2rbet9ZbJIehx9Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:12.888729Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.5515","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13ad12dcba15c54342a021874f33d995fa7e331e1b872b20099feb5e9a39887f","sha256:3b0a1732cf107bc977adfbba770fec8c5bbacf3e9652b627e1dff590055a9e7e"],"state_sha256":"3e4fa082f9eb17fee31efb92ab66a9aae1093d0eec329ac80cd55b0b037f7388"}