{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:YVTBAJ7PZTVSJ72EGNPUR375XD","short_pith_number":"pith:YVTBAJ7P","schema_version":"1.0","canonical_sha256":"c5661027efcceb24ff44335f48effdb8e0f3ed0486218efa98df3cce488507fb","source":{"kind":"arxiv","id":"1906.10610","version":3},"attestation_state":"computed","paper":{"title":"Non-Collapsible Dual Complexes and Fake del Pezzo Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Lev Soukhanov","submitted_at":"2019-06-25T15:39:26Z","abstract_excerpt":"We propose the new construction of complex surfaces with $h^{1,0} = h^{2,0} = 0$ from smoothings of normal crossing surfaces with non-collapsible dual complexes and carry it out for the simplest case of the duncehat complex, obtaining the surface with $h^{1,1} = 9$ (presumably Barlow surface)."},"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":"1906.10610","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-06-25T15:39:26Z","cross_cats_sorted":[],"title_canon_sha256":"55423c3c0d75bb705985802c5659a1a9aba91d9295d72b1b4fd050267c9faab4","abstract_canon_sha256":"d74180136cb571982141a561ca041e8bd1f7b3b0c3912668854fd14702243909"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:00.568286Z","signature_b64":"JVV8M7XCRdrjUGovmukgyA/AMDsOVEB+ZDOfpzalxgj1uJHEqjVqzE3TDKcEdkqZnRe0cPKMmLwkxLo2fUBiBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5661027efcceb24ff44335f48effdb8e0f3ed0486218efa98df3cce488507fb","last_reissued_at":"2026-05-17T23:41:00.567696Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:00.567696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Collapsible Dual Complexes and Fake del Pezzo Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Lev Soukhanov","submitted_at":"2019-06-25T15:39:26Z","abstract_excerpt":"We propose the new construction of complex surfaces with $h^{1,0} = h^{2,0} = 0$ from smoothings of normal crossing surfaces with non-collapsible dual complexes and carry it out for the simplest case of the duncehat complex, obtaining the surface with $h^{1,1} = 9$ (presumably Barlow surface)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.10610","kind":"arxiv","version":3},"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":"1906.10610","created_at":"2026-05-17T23:41:00.567793+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.10610v3","created_at":"2026-05-17T23:41:00.567793+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.10610","created_at":"2026-05-17T23:41:00.567793+00:00"},{"alias_kind":"pith_short_12","alias_value":"YVTBAJ7PZTVS","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_16","alias_value":"YVTBAJ7PZTVSJ72E","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_8","alias_value":"YVTBAJ7P","created_at":"2026-05-18T12:33:33.725879+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/YVTBAJ7PZTVSJ72EGNPUR375XD","json":"https://pith.science/pith/YVTBAJ7PZTVSJ72EGNPUR375XD.json","graph_json":"https://pith.science/api/pith-number/YVTBAJ7PZTVSJ72EGNPUR375XD/graph.json","events_json":"https://pith.science/api/pith-number/YVTBAJ7PZTVSJ72EGNPUR375XD/events.json","paper":"https://pith.science/paper/YVTBAJ7P"},"agent_actions":{"view_html":"https://pith.science/pith/YVTBAJ7PZTVSJ72EGNPUR375XD","download_json":"https://pith.science/pith/YVTBAJ7PZTVSJ72EGNPUR375XD.json","view_paper":"https://pith.science/paper/YVTBAJ7P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.10610&json=true","fetch_graph":"https://pith.science/api/pith-number/YVTBAJ7PZTVSJ72EGNPUR375XD/graph.json","fetch_events":"https://pith.science/api/pith-number/YVTBAJ7PZTVSJ72EGNPUR375XD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YVTBAJ7PZTVSJ72EGNPUR375XD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YVTBAJ7PZTVSJ72EGNPUR375XD/action/storage_attestation","attest_author":"https://pith.science/pith/YVTBAJ7PZTVSJ72EGNPUR375XD/action/author_attestation","sign_citation":"https://pith.science/pith/YVTBAJ7PZTVSJ72EGNPUR375XD/action/citation_signature","submit_replication":"https://pith.science/pith/YVTBAJ7PZTVSJ72EGNPUR375XD/action/replication_record"}},"created_at":"2026-05-17T23:41:00.567793+00:00","updated_at":"2026-05-17T23:41:00.567793+00:00"}