{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:6KMPH3G3BIILZT42GCEKI3SMGD","short_pith_number":"pith:6KMPH3G3","schema_version":"1.0","canonical_sha256":"f298f3ecdb0a10bccf9a3088a46e4c30d81739092a82370eeba804923a16b321","source":{"kind":"arxiv","id":"1104.0413","version":1},"attestation_state":"computed","paper":{"title":"Galois extensions, plus closure, and maps on local cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Akiyoshi Sannai, Anurag K. Singh","submitted_at":"2011-04-03T17:54:57Z","abstract_excerpt":"Given a local domain $(R,m)$ of prime characteristic that is a homomorphic image of a Gorenstein ring, Huneke and Lyubeznik proved that there exists a module-finite extension domain $S$ such that the induced map on local cohomology modules $H^i_m(R)\\to H^i_m(S)$ is zero for each $i<\\dim R$. We prove that the extension $S$ may be chosen to be generically Galois, and analyze the Galois groups that arise."},"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":"1104.0413","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-04-03T17:54:57Z","cross_cats_sorted":[],"title_canon_sha256":"7b64ff5efdd09dd50e19798115c989575ed09cbbf44914fd64980b97970c785c","abstract_canon_sha256":"89e9ee41e2ef06de4cdab8303d82efba8877551400f69719f04448b558172f4c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:04.006176Z","signature_b64":"UXAYH4KhoNs6VFvImtlnNOxYFvdfJLpVRF7JyKsKQK7AdkxezRWFwoiBle3ubJBbwOL25/P5QDSLGg9J0ahyAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f298f3ecdb0a10bccf9a3088a46e4c30d81739092a82370eeba804923a16b321","last_reissued_at":"2026-05-18T04:05:04.005762Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:04.005762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Galois extensions, plus closure, and maps on local cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Akiyoshi Sannai, Anurag K. Singh","submitted_at":"2011-04-03T17:54:57Z","abstract_excerpt":"Given a local domain $(R,m)$ of prime characteristic that is a homomorphic image of a Gorenstein ring, Huneke and Lyubeznik proved that there exists a module-finite extension domain $S$ such that the induced map on local cohomology modules $H^i_m(R)\\to H^i_m(S)$ is zero for each $i<\\dim R$. We prove that the extension $S$ may be chosen to be generically Galois, and analyze the Galois groups that arise."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0413","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":"1104.0413","created_at":"2026-05-18T04:05:04.005823+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.0413v1","created_at":"2026-05-18T04:05:04.005823+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0413","created_at":"2026-05-18T04:05:04.005823+00:00"},{"alias_kind":"pith_short_12","alias_value":"6KMPH3G3BIIL","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_16","alias_value":"6KMPH3G3BIILZT42","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_8","alias_value":"6KMPH3G3","created_at":"2026-05-18T12:26:22.705136+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/6KMPH3G3BIILZT42GCEKI3SMGD","json":"https://pith.science/pith/6KMPH3G3BIILZT42GCEKI3SMGD.json","graph_json":"https://pith.science/api/pith-number/6KMPH3G3BIILZT42GCEKI3SMGD/graph.json","events_json":"https://pith.science/api/pith-number/6KMPH3G3BIILZT42GCEKI3SMGD/events.json","paper":"https://pith.science/paper/6KMPH3G3"},"agent_actions":{"view_html":"https://pith.science/pith/6KMPH3G3BIILZT42GCEKI3SMGD","download_json":"https://pith.science/pith/6KMPH3G3BIILZT42GCEKI3SMGD.json","view_paper":"https://pith.science/paper/6KMPH3G3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.0413&json=true","fetch_graph":"https://pith.science/api/pith-number/6KMPH3G3BIILZT42GCEKI3SMGD/graph.json","fetch_events":"https://pith.science/api/pith-number/6KMPH3G3BIILZT42GCEKI3SMGD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6KMPH3G3BIILZT42GCEKI3SMGD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6KMPH3G3BIILZT42GCEKI3SMGD/action/storage_attestation","attest_author":"https://pith.science/pith/6KMPH3G3BIILZT42GCEKI3SMGD/action/author_attestation","sign_citation":"https://pith.science/pith/6KMPH3G3BIILZT42GCEKI3SMGD/action/citation_signature","submit_replication":"https://pith.science/pith/6KMPH3G3BIILZT42GCEKI3SMGD/action/replication_record"}},"created_at":"2026-05-18T04:05:04.005823+00:00","updated_at":"2026-05-18T04:05:04.005823+00:00"}