{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:N3OIZN24X4LR6WVD7TF6YEYPTN","short_pith_number":"pith:N3OIZN24","schema_version":"1.0","canonical_sha256":"6edc8cb75cbf171f5aa3fccbec130f9b6d88b3f51f1bc1204715abaa693f6b7f","source":{"kind":"arxiv","id":"1901.07091","version":1},"attestation_state":"computed","paper":{"title":"Vanishing cycles under base change and the integral Hodge conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Mingmin Shen","submitted_at":"2019-01-21T21:45:09Z","abstract_excerpt":"In this paper we discuss an obstruction to the integral Hodge conjecture, which arises from certain behavior of vanishing cycles. This allows us to construct new counter-examples to the integral Hodge conjecture. One typical such counter-example is the product of a very general hypersurface of odd dimension and an Enriques surface. Our approach generalizes the degeneration argument of Benoist-Ottem."},"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":"1901.07091","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-01-21T21:45:09Z","cross_cats_sorted":[],"title_canon_sha256":"5f363b86db0ed2e5c47dd6c44fc93279507636a498827542aa96e9ea6aff6ae8","abstract_canon_sha256":"e5055a6338b9d47f332bcdb3c91f2420cbaecf2fc2ab43241ce2832d83e185de"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:48.186598Z","signature_b64":"BgL2G1rRgwIBxgsDVRPDPMvOGIRbmEtMZdxYgoIPOub07bHcNE9vY/re6HxgImsAIEASOhq7Xg/sBjHRrmA/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6edc8cb75cbf171f5aa3fccbec130f9b6d88b3f51f1bc1204715abaa693f6b7f","last_reissued_at":"2026-05-17T23:55:48.185918Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:48.185918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Vanishing cycles under base change and the integral Hodge conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Mingmin Shen","submitted_at":"2019-01-21T21:45:09Z","abstract_excerpt":"In this paper we discuss an obstruction to the integral Hodge conjecture, which arises from certain behavior of vanishing cycles. This allows us to construct new counter-examples to the integral Hodge conjecture. One typical such counter-example is the product of a very general hypersurface of odd dimension and an Enriques surface. Our approach generalizes the degeneration argument of Benoist-Ottem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.07091","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":"1901.07091","created_at":"2026-05-17T23:55:48.186013+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.07091v1","created_at":"2026-05-17T23:55:48.186013+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.07091","created_at":"2026-05-17T23:55:48.186013+00:00"},{"alias_kind":"pith_short_12","alias_value":"N3OIZN24X4LR","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"N3OIZN24X4LR6WVD","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"N3OIZN24","created_at":"2026-05-18T12:33:24.271573+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/N3OIZN24X4LR6WVD7TF6YEYPTN","json":"https://pith.science/pith/N3OIZN24X4LR6WVD7TF6YEYPTN.json","graph_json":"https://pith.science/api/pith-number/N3OIZN24X4LR6WVD7TF6YEYPTN/graph.json","events_json":"https://pith.science/api/pith-number/N3OIZN24X4LR6WVD7TF6YEYPTN/events.json","paper":"https://pith.science/paper/N3OIZN24"},"agent_actions":{"view_html":"https://pith.science/pith/N3OIZN24X4LR6WVD7TF6YEYPTN","download_json":"https://pith.science/pith/N3OIZN24X4LR6WVD7TF6YEYPTN.json","view_paper":"https://pith.science/paper/N3OIZN24","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.07091&json=true","fetch_graph":"https://pith.science/api/pith-number/N3OIZN24X4LR6WVD7TF6YEYPTN/graph.json","fetch_events":"https://pith.science/api/pith-number/N3OIZN24X4LR6WVD7TF6YEYPTN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N3OIZN24X4LR6WVD7TF6YEYPTN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N3OIZN24X4LR6WVD7TF6YEYPTN/action/storage_attestation","attest_author":"https://pith.science/pith/N3OIZN24X4LR6WVD7TF6YEYPTN/action/author_attestation","sign_citation":"https://pith.science/pith/N3OIZN24X4LR6WVD7TF6YEYPTN/action/citation_signature","submit_replication":"https://pith.science/pith/N3OIZN24X4LR6WVD7TF6YEYPTN/action/replication_record"}},"created_at":"2026-05-17T23:55:48.186013+00:00","updated_at":"2026-05-17T23:55:48.186013+00:00"}