{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:TE2ABAWQKWF7XHHFCOKVT2UWLX","short_pith_number":"pith:TE2ABAWQ","schema_version":"1.0","canonical_sha256":"99340082d0558bfb9ce5139559ea965dfb08cc7eceaccaa27b3840d1e6be7246","source":{"kind":"arxiv","id":"1704.04187","version":3},"attestation_state":"computed","paper":{"title":"Bloch's conjecture for surfaces with involutions and of geometric genus zero","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Vladimir Guletskii","submitted_at":"2017-04-13T15:57:43Z","abstract_excerpt":"Let $S$ be a smooth projective surface with $p_g=0$, let $\\iota $ be a regular involution acting on $S$, and let $W$ be the resolution of singularities of the quotient surface $S/\\iota $. In the paper we prove that Bloch's conjecture holds for the surface $S$ if and only if it holds for the surface $W$. This yields Bloch's conjecture for all surfaces $S$ whenever the same conjecture is true for the desingularized quotient $W$. In particular, Bloch's conjecture holds true for all numerical Godeaux surfaces with involutions, a \"half\" of Campedelli surfaces with involutions, the surface of Craigh"},"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":"1704.04187","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-04-13T15:57:43Z","cross_cats_sorted":[],"title_canon_sha256":"2b0518f43c25c5deb5e2de455f89eb2b3485631778c87bd7a7a7a136c619b421","abstract_canon_sha256":"c73b09d53bebfd2624a23881ae0eb8a29ca07e67dedbce5394202dca09c283cf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:58.006187Z","signature_b64":"T5U2z1F9ERgSzAVZKtM8peRYQxdGYIDa9NSiwH5kH8PWiaO4FYkadMKfeDrMM+n9Oqyvq7IFMu+ESPy/4D+RBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99340082d0558bfb9ce5139559ea965dfb08cc7eceaccaa27b3840d1e6be7246","last_reissued_at":"2026-05-18T00:40:58.005595Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:58.005595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bloch's conjecture for surfaces with involutions and of geometric genus zero","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Vladimir Guletskii","submitted_at":"2017-04-13T15:57:43Z","abstract_excerpt":"Let $S$ be a smooth projective surface with $p_g=0$, let $\\iota $ be a regular involution acting on $S$, and let $W$ be the resolution of singularities of the quotient surface $S/\\iota $. In the paper we prove that Bloch's conjecture holds for the surface $S$ if and only if it holds for the surface $W$. This yields Bloch's conjecture for all surfaces $S$ whenever the same conjecture is true for the desingularized quotient $W$. In particular, Bloch's conjecture holds true for all numerical Godeaux surfaces with involutions, a \"half\" of Campedelli surfaces with involutions, the surface of Craigh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04187","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":"1704.04187","created_at":"2026-05-18T00:40:58.005707+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.04187v3","created_at":"2026-05-18T00:40:58.005707+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04187","created_at":"2026-05-18T00:40:58.005707+00:00"},{"alias_kind":"pith_short_12","alias_value":"TE2ABAWQKWF7","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_16","alias_value":"TE2ABAWQKWF7XHHF","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_8","alias_value":"TE2ABAWQ","created_at":"2026-05-18T12:31:46.661854+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.20223","citing_title":"Representability of codimension three cycles","ref_index":9,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TE2ABAWQKWF7XHHFCOKVT2UWLX","json":"https://pith.science/pith/TE2ABAWQKWF7XHHFCOKVT2UWLX.json","graph_json":"https://pith.science/api/pith-number/TE2ABAWQKWF7XHHFCOKVT2UWLX/graph.json","events_json":"https://pith.science/api/pith-number/TE2ABAWQKWF7XHHFCOKVT2UWLX/events.json","paper":"https://pith.science/paper/TE2ABAWQ"},"agent_actions":{"view_html":"https://pith.science/pith/TE2ABAWQKWF7XHHFCOKVT2UWLX","download_json":"https://pith.science/pith/TE2ABAWQKWF7XHHFCOKVT2UWLX.json","view_paper":"https://pith.science/paper/TE2ABAWQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.04187&json=true","fetch_graph":"https://pith.science/api/pith-number/TE2ABAWQKWF7XHHFCOKVT2UWLX/graph.json","fetch_events":"https://pith.science/api/pith-number/TE2ABAWQKWF7XHHFCOKVT2UWLX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TE2ABAWQKWF7XHHFCOKVT2UWLX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TE2ABAWQKWF7XHHFCOKVT2UWLX/action/storage_attestation","attest_author":"https://pith.science/pith/TE2ABAWQKWF7XHHFCOKVT2UWLX/action/author_attestation","sign_citation":"https://pith.science/pith/TE2ABAWQKWF7XHHFCOKVT2UWLX/action/citation_signature","submit_replication":"https://pith.science/pith/TE2ABAWQKWF7XHHFCOKVT2UWLX/action/replication_record"}},"created_at":"2026-05-18T00:40:58.005707+00:00","updated_at":"2026-05-18T00:40:58.005707+00:00"}