{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FEY2UCNFDHONY5DYU73MMXF6F2","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":"202620e684e4136a9d664b8f7ca9f009ca3c8a4ca2529348c3a4b324aaa57955","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-05-01T06:34:16Z","title_canon_sha256":"dd120c4d290aeb9fc49f80b9d4205b1e3369c492f2ec09c38590e986f69c65d3"},"schema_version":"1.0","source":{"id":"1805.00204","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.00204","created_at":"2026-05-18T00:17:10Z"},{"alias_kind":"arxiv_version","alias_value":"1805.00204v1","created_at":"2026-05-18T00:17:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.00204","created_at":"2026-05-18T00:17:10Z"},{"alias_kind":"pith_short_12","alias_value":"FEY2UCNFDHON","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FEY2UCNFDHONY5DY","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FEY2UCNF","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:5b547c7244d75fe3f6f9a13e3f8b14708e16c5c79d2dd00bc868937dff97d2d5","target":"graph","created_at":"2026-05-18T00:17:10Z","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":"In a number of papers by Edge, and in a related paper by Fano, several properties are discussed of the family of scrolls of degree 8, in the complex projective space, whose plane sections are projected bicanonical models of a genus 3 curve C. This beautiful subject is implicitely related to the moduli of semistable rank two vector bundles on C with bicanonical determinant. We revisit and reconstruct this matter in modern terms with a modular point of view. This paper is the refereed version of a contribution to a volume in honor of W.L Edge, to be published by European Journal of Mathematics.","authors_text":"Alessandro Verra","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-05-01T06:34:16Z","title":"Edge and Fano on nets of quadrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.00204","kind":"arxiv","version":1},"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":"sha256:7da4c4706fcfded299c09689822a3c9e3d9517e789e37cb20517480f57b4da56","target":"record","created_at":"2026-05-18T00:17:10Z","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":"202620e684e4136a9d664b8f7ca9f009ca3c8a4ca2529348c3a4b324aaa57955","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-05-01T06:34:16Z","title_canon_sha256":"dd120c4d290aeb9fc49f80b9d4205b1e3369c492f2ec09c38590e986f69c65d3"},"schema_version":"1.0","source":{"id":"1805.00204","kind":"arxiv","version":1}},"canonical_sha256":"2931aa09a519dcdc7478a7f6c65cbe2ea1e718d4ad7c478d442f10b0a795178f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2931aa09a519dcdc7478a7f6c65cbe2ea1e718d4ad7c478d442f10b0a795178f","first_computed_at":"2026-05-18T00:17:10.292951Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:10.292951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4yIjMfxj9f3DLp/MoA6dWHdf3TJyk/cGml5KZsf2S2KEimDIbtJwqXb5fj4upgET4eSiN1sB1YOewnv0OtsmAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:10.293466Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.00204","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7da4c4706fcfded299c09689822a3c9e3d9517e789e37cb20517480f57b4da56","sha256:5b547c7244d75fe3f6f9a13e3f8b14708e16c5c79d2dd00bc868937dff97d2d5"],"state_sha256":"859b9e9ff3d592738972db6b68f2f70c0e98f26ecc7e45c118aa572d9e9bb0cb"}