{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:IVKYI2H6SPXMRIA5AJMZNE4J24","short_pith_number":"pith:IVKYI2H6","schema_version":"1.0","canonical_sha256":"45558468fe93eec8a01d0259969389d723d8e085668fed85f257e439905fe4e6","source":{"kind":"arxiv","id":"1503.05967","version":2},"attestation_state":"computed","paper":{"title":"Prym varieties and moduli of polarized Nikulin surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alessandro Verra, Gavril Farkas","submitted_at":"2015-03-19T23:41:16Z","abstract_excerpt":"We present a structure theorem for the moduli space R_7 of Prym curves of genus 7 as a projective bundle over the moduli space of 7-nodal rational curves. The existence of this parametrization implies the unirationality of R_7 and that of the moduli space of Nikulin surfaces of genus 7, as well as the rationality of the moduli space of Nikulin surfaces of genus 7 with a distinguished line. Using the results in genus 7, we then establish that R_8 is uniruled."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1503.05967","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-03-19T23:41:16Z","cross_cats_sorted":[],"title_canon_sha256":"81b97bfae40f9e2b321358408ab7213b0dad4b45d5a0620cdee7215081fe36b6","abstract_canon_sha256":"ca98efbca78feee85f1d3def8dae364fbc35093531fd6d5c626e0f2186e0c2f8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:40.129851Z","signature_b64":"2glnXI6HzSuhuNFNAcm/sIUf3iEZoacZpiuEOf6Je//ubVTV4MMMTHXym55wwULa5Zl3FGXoYYiWy14BiMZmDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45558468fe93eec8a01d0259969389d723d8e085668fed85f257e439905fe4e6","last_reissued_at":"2026-05-18T01:10:40.129339Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:40.129339Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Prym varieties and moduli of polarized Nikulin surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alessandro Verra, Gavril Farkas","submitted_at":"2015-03-19T23:41:16Z","abstract_excerpt":"We present a structure theorem for the moduli space R_7 of Prym curves of genus 7 as a projective bundle over the moduli space of 7-nodal rational curves. The existence of this parametrization implies the unirationality of R_7 and that of the moduli space of Nikulin surfaces of genus 7, as well as the rationality of the moduli space of Nikulin surfaces of genus 7 with a distinguished line. Using the results in genus 7, we then establish that R_8 is uniruled."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05967","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1503.05967","created_at":"2026-05-18T01:10:40.129417+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.05967v2","created_at":"2026-05-18T01:10:40.129417+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05967","created_at":"2026-05-18T01:10:40.129417+00:00"},{"alias_kind":"pith_short_12","alias_value":"IVKYI2H6SPXM","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"IVKYI2H6SPXMRIA5","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"IVKYI2H6","created_at":"2026-05-18T12:29:25.134429+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IVKYI2H6SPXMRIA5AJMZNE4J24","json":"https://pith.science/pith/IVKYI2H6SPXMRIA5AJMZNE4J24.json","graph_json":"https://pith.science/api/pith-number/IVKYI2H6SPXMRIA5AJMZNE4J24/graph.json","events_json":"https://pith.science/api/pith-number/IVKYI2H6SPXMRIA5AJMZNE4J24/events.json","paper":"https://pith.science/paper/IVKYI2H6"},"agent_actions":{"view_html":"https://pith.science/pith/IVKYI2H6SPXMRIA5AJMZNE4J24","download_json":"https://pith.science/pith/IVKYI2H6SPXMRIA5AJMZNE4J24.json","view_paper":"https://pith.science/paper/IVKYI2H6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.05967&json=true","fetch_graph":"https://pith.science/api/pith-number/IVKYI2H6SPXMRIA5AJMZNE4J24/graph.json","fetch_events":"https://pith.science/api/pith-number/IVKYI2H6SPXMRIA5AJMZNE4J24/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IVKYI2H6SPXMRIA5AJMZNE4J24/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IVKYI2H6SPXMRIA5AJMZNE4J24/action/storage_attestation","attest_author":"https://pith.science/pith/IVKYI2H6SPXMRIA5AJMZNE4J24/action/author_attestation","sign_citation":"https://pith.science/pith/IVKYI2H6SPXMRIA5AJMZNE4J24/action/citation_signature","submit_replication":"https://pith.science/pith/IVKYI2H6SPXMRIA5AJMZNE4J24/action/replication_record"}},"created_at":"2026-05-18T01:10:40.129417+00:00","updated_at":"2026-05-18T01:10:40.129417+00:00"}