{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KDIKAJETNHI35FQNWVSQIKIDQH","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":"793751103bdf08d21e7f54ef74e6af8643ec4d383dafc041796ef22ec3851e4e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-12T10:11:48Z","title_canon_sha256":"555f8e161f4edd570678076abb3419aa87651528e237008902f7dad63eba9779"},"schema_version":"1.0","source":{"id":"1802.03956","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.03956","created_at":"2026-05-18T00:06:25Z"},{"alias_kind":"arxiv_version","alias_value":"1802.03956v4","created_at":"2026-05-18T00:06:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.03956","created_at":"2026-05-18T00:06:25Z"},{"alias_kind":"pith_short_12","alias_value":"KDIKAJETNHI3","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KDIKAJETNHI35FQN","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KDIKAJET","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:bdbffac734f1e0b5d39a7033f20a27891aacc833127a6bccbf96fc57347cf510","target":"graph","created_at":"2026-05-18T00:06:25Z","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 aim of this paper is two--fold. We first strongly improve our previous main result Theorem 3.1 in Arxiv 1702.00918v3 12Feb2018 (\"Brill-Noether loci of rank two vector bundles on a general $\\nu$-gonal curve\"), concerning classification of irreducible components of the Brill--Noether locus parametrizing rank 2 semistable vector bundles of suitable degrees $d$, with at least $d-2g+4$ independent global sections, on a general $\\nu$--gonal curve $C$ of genus $g$. We then uses this classification to study several properties of the Hilbert scheme of suitable surface scrolls in projective space, w","authors_text":"Flaminio Flamini, Seonja Kim, Youngook Choi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-12T10:11:48Z","title":"Moduli spaces of bundles and Hilbert schemes of scrolls over $\\nu$-gonal curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.03956","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":"sha256:1669922ad46277f014d0291f4158622f7ae41b1a6f2a4f920ab6726a8d0e4052","target":"record","created_at":"2026-05-18T00:06:25Z","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":"793751103bdf08d21e7f54ef74e6af8643ec4d383dafc041796ef22ec3851e4e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-12T10:11:48Z","title_canon_sha256":"555f8e161f4edd570678076abb3419aa87651528e237008902f7dad63eba9779"},"schema_version":"1.0","source":{"id":"1802.03956","kind":"arxiv","version":4}},"canonical_sha256":"50d0a0249369d1be960db56504290381dad49694583237a052092648228a2057","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50d0a0249369d1be960db56504290381dad49694583237a052092648228a2057","first_computed_at":"2026-05-18T00:06:25.186733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:25.186733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TwdIEmCH6HXFQmd2bz9PkOV6abllYcu9bMpnHAEkhrTdT+cCj15nJ16Hdj5an015RYjlsIei7gDGK/D89XHcCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:25.187283Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.03956","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1669922ad46277f014d0291f4158622f7ae41b1a6f2a4f920ab6726a8d0e4052","sha256:bdbffac734f1e0b5d39a7033f20a27891aacc833127a6bccbf96fc57347cf510"],"state_sha256":"758f41e98bbcf7125f5b77dedaef7b884c63b8f3d8b34ee63fdaf86289912a2b"}