{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:I4J7YXE7CSQLDAYMBFUAAZZJWS","short_pith_number":"pith:I4J7YXE7","schema_version":"1.0","canonical_sha256":"4713fc5c9f14a0b1830c0968006729b49d106652b6838408c812d797606243b9","source":{"kind":"arxiv","id":"1602.04944","version":1},"attestation_state":"computed","paper":{"title":"On a multiplicative version of Mumford's theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Robert Laterveer","submitted_at":"2016-02-16T08:50:39Z","abstract_excerpt":"A theorem of Esnault, Srinivas and Viehweg asserts that if the Chow group of 0-cycles of a smooth complete complex variety decomposes, then the top-degree coherent cohomology group decomposes similarly. In this note, we prove a similar statement for Chow groups of arbitrary codimension, provided the variety satisfies the Lefschetz standard conjecture."},"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":"1602.04944","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-16T08:50:39Z","cross_cats_sorted":[],"title_canon_sha256":"bd8a52b8523617b1a944200554da6b9df9381f05b17ebeff69a433217488b1d7","abstract_canon_sha256":"0fe679adc0facb0de93c8c8e21daf1813d0f2114b8df981342eb7c5c290eec6a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:37.805929Z","signature_b64":"JO8HITD6d0wR43ndh5/2ZSBBTaFfjOik013yJon31stXQGrfisMvrdh1Nr5l+rpBLpzgpoVz+6LK8bBMvNweAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4713fc5c9f14a0b1830c0968006729b49d106652b6838408c812d797606243b9","last_reissued_at":"2026-05-18T01:20:37.805502Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:37.805502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a multiplicative version of Mumford's theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Robert Laterveer","submitted_at":"2016-02-16T08:50:39Z","abstract_excerpt":"A theorem of Esnault, Srinivas and Viehweg asserts that if the Chow group of 0-cycles of a smooth complete complex variety decomposes, then the top-degree coherent cohomology group decomposes similarly. In this note, we prove a similar statement for Chow groups of arbitrary codimension, provided the variety satisfies the Lefschetz standard conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04944","kind":"arxiv","version":1},"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":"1602.04944","created_at":"2026-05-18T01:20:37.805565+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.04944v1","created_at":"2026-05-18T01:20:37.805565+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04944","created_at":"2026-05-18T01:20:37.805565+00:00"},{"alias_kind":"pith_short_12","alias_value":"I4J7YXE7CSQL","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"I4J7YXE7CSQLDAYM","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"I4J7YXE7","created_at":"2026-05-18T12:30:22.444734+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/I4J7YXE7CSQLDAYMBFUAAZZJWS","json":"https://pith.science/pith/I4J7YXE7CSQLDAYMBFUAAZZJWS.json","graph_json":"https://pith.science/api/pith-number/I4J7YXE7CSQLDAYMBFUAAZZJWS/graph.json","events_json":"https://pith.science/api/pith-number/I4J7YXE7CSQLDAYMBFUAAZZJWS/events.json","paper":"https://pith.science/paper/I4J7YXE7"},"agent_actions":{"view_html":"https://pith.science/pith/I4J7YXE7CSQLDAYMBFUAAZZJWS","download_json":"https://pith.science/pith/I4J7YXE7CSQLDAYMBFUAAZZJWS.json","view_paper":"https://pith.science/paper/I4J7YXE7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.04944&json=true","fetch_graph":"https://pith.science/api/pith-number/I4J7YXE7CSQLDAYMBFUAAZZJWS/graph.json","fetch_events":"https://pith.science/api/pith-number/I4J7YXE7CSQLDAYMBFUAAZZJWS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I4J7YXE7CSQLDAYMBFUAAZZJWS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I4J7YXE7CSQLDAYMBFUAAZZJWS/action/storage_attestation","attest_author":"https://pith.science/pith/I4J7YXE7CSQLDAYMBFUAAZZJWS/action/author_attestation","sign_citation":"https://pith.science/pith/I4J7YXE7CSQLDAYMBFUAAZZJWS/action/citation_signature","submit_replication":"https://pith.science/pith/I4J7YXE7CSQLDAYMBFUAAZZJWS/action/replication_record"}},"created_at":"2026-05-18T01:20:37.805565+00:00","updated_at":"2026-05-18T01:20:37.805565+00:00"}