{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QQVKQGM73JK46CHHCWDDFTIHPV","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":"b761005fbdd392dcdbfa934f644686d2b225c41fdc4e39d599a5fda6bec15d4a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-05-23T12:48:05Z","title_canon_sha256":"19c8a581de838b53298d9db478a473d75deacc3d971d739bbc80c9e1d54bd1bb"},"schema_version":"1.0","source":{"id":"1905.09623","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.09623","created_at":"2026-05-17T23:45:16Z"},{"alias_kind":"arxiv_version","alias_value":"1905.09623v1","created_at":"2026-05-17T23:45:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.09623","created_at":"2026-05-17T23:45:16Z"},{"alias_kind":"pith_short_12","alias_value":"QQVKQGM73JK4","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QQVKQGM73JK46CHH","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QQVKQGM7","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:1278d0e0a510c4c18e7e77b29ed06a4fb9d92509b000cb3a12a2d433ab8fef0b","target":"graph","created_at":"2026-05-17T23:45:16Z","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":"We discuss the Borisov-Nuer conjecture in connection with the canonical maps from the moduli spaces $\\mathcal M_{En,h}^a$of polarized Enriques surfaces with fixed polarization type $h$ to the moduli space $\\mathcal F_g$ of polarized $K3$ surfaces of genus $g$ with $g=h^2+1$, and we exhibit a naturally defined locus $\\Sigma_g\\subset\\mathcal F_g$. One direct consequence of the Borisov-Nuer conjecture is that $\\Sigma_g$ would be contained in a particular Noether-Lefschetz divisor in $\\mathcal F_g$, which we call the Borisov-Nuer divisor and we denote by $\\mathcal{BN}_g$. In this short note, we pr","authors_text":"Marian Aprodu, Yeongrak Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-05-23T12:48:05Z","title":"On the Borisov-Nuer conjecture and the image of the Enriques-to-K3 map"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.09623","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":"sha256:12262ddf47be180aee10ab67f1176ab31e4aa42107149ed1292d42e0259929bc","target":"record","created_at":"2026-05-17T23:45:16Z","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":"b761005fbdd392dcdbfa934f644686d2b225c41fdc4e39d599a5fda6bec15d4a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-05-23T12:48:05Z","title_canon_sha256":"19c8a581de838b53298d9db478a473d75deacc3d971d739bbc80c9e1d54bd1bb"},"schema_version":"1.0","source":{"id":"1905.09623","kind":"arxiv","version":1}},"canonical_sha256":"842aa8199fda55cf08e7158632cd077d443bcada5aa476cefd955ef4313519cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"842aa8199fda55cf08e7158632cd077d443bcada5aa476cefd955ef4313519cd","first_computed_at":"2026-05-17T23:45:16.472881Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:16.472881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8gWrltFdj/TeDCTfm8YkkpbhqBSuZzU/mt2/Z481+o4R2ghK98jn6IXFf/0Zgzw6kJ4LRxRGQ/3Y7HNixkDCDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:16.473436Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.09623","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12262ddf47be180aee10ab67f1176ab31e4aa42107149ed1292d42e0259929bc","sha256:1278d0e0a510c4c18e7e77b29ed06a4fb9d92509b000cb3a12a2d433ab8fef0b"],"state_sha256":"4ac7da3ef8625b8709ad5b3b293d7d0234566e459870f0c84694d89125b73626"}