{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:YHXKC2ERB57NHWZLADSCCQ5MVQ","short_pith_number":"pith:YHXKC2ER","schema_version":"1.0","canonical_sha256":"c1eea168910f7ed3db2b00e42143acac290a9363c556aaf304ae41e6bef4ae34","source":{"kind":"arxiv","id":"0904.3863","version":3},"attestation_state":"computed","paper":{"title":"Some complements to the Lazard isomorphism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Annette Huber, Guido Kings, Niko Naumann","submitted_at":"2009-04-24T13:09:15Z","abstract_excerpt":"Lazard showed in his seminal work \"Groupes analytiques $p$-adiques\" that for rational coefficients continuous group cohomology of $p$-adic Lie-groups is isomorphic to Lie-algebra cohomology. We refine this result in two directions: firstly we extend his isomorphism under certain conditions to integral coefficients and secondly, we show that for algebraic groups, his isomorphism can be realized by differentiating locally analytic cochains."},"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":"0904.3863","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-04-24T13:09:15Z","cross_cats_sorted":[],"title_canon_sha256":"2673d25b0760963dc0ae36c6c815d404f68816f526f68333b63e8c6647de17fa","abstract_canon_sha256":"0be73a26bfd21bf75d749661cda3e9e0601ef1e5e1dfad5c20e9f2abaa973aac"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:20.028575Z","signature_b64":"8LsOKVdcgcPrlQ1xOCvJ0v+z0LHJ4obZ/+lhl/AMDBxlAH8tiJt9zwPuqZLkX/JyqnOAauanh41UGTdDq4KqAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1eea168910f7ed3db2b00e42143acac290a9363c556aaf304ae41e6bef4ae34","last_reissued_at":"2026-05-17T23:53:20.028041Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:20.028041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some complements to the Lazard isomorphism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Annette Huber, Guido Kings, Niko Naumann","submitted_at":"2009-04-24T13:09:15Z","abstract_excerpt":"Lazard showed in his seminal work \"Groupes analytiques $p$-adiques\" that for rational coefficients continuous group cohomology of $p$-adic Lie-groups is isomorphic to Lie-algebra cohomology. We refine this result in two directions: firstly we extend his isomorphism under certain conditions to integral coefficients and secondly, we show that for algebraic groups, his isomorphism can be realized by differentiating locally analytic cochains."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3863","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":"0904.3863","created_at":"2026-05-17T23:53:20.028121+00:00"},{"alias_kind":"arxiv_version","alias_value":"0904.3863v3","created_at":"2026-05-17T23:53:20.028121+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.3863","created_at":"2026-05-17T23:53:20.028121+00:00"},{"alias_kind":"pith_short_12","alias_value":"YHXKC2ERB57N","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"YHXKC2ERB57NHWZL","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"YHXKC2ER","created_at":"2026-05-18T12:26:02.257875+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/YHXKC2ERB57NHWZLADSCCQ5MVQ","json":"https://pith.science/pith/YHXKC2ERB57NHWZLADSCCQ5MVQ.json","graph_json":"https://pith.science/api/pith-number/YHXKC2ERB57NHWZLADSCCQ5MVQ/graph.json","events_json":"https://pith.science/api/pith-number/YHXKC2ERB57NHWZLADSCCQ5MVQ/events.json","paper":"https://pith.science/paper/YHXKC2ER"},"agent_actions":{"view_html":"https://pith.science/pith/YHXKC2ERB57NHWZLADSCCQ5MVQ","download_json":"https://pith.science/pith/YHXKC2ERB57NHWZLADSCCQ5MVQ.json","view_paper":"https://pith.science/paper/YHXKC2ER","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0904.3863&json=true","fetch_graph":"https://pith.science/api/pith-number/YHXKC2ERB57NHWZLADSCCQ5MVQ/graph.json","fetch_events":"https://pith.science/api/pith-number/YHXKC2ERB57NHWZLADSCCQ5MVQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YHXKC2ERB57NHWZLADSCCQ5MVQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YHXKC2ERB57NHWZLADSCCQ5MVQ/action/storage_attestation","attest_author":"https://pith.science/pith/YHXKC2ERB57NHWZLADSCCQ5MVQ/action/author_attestation","sign_citation":"https://pith.science/pith/YHXKC2ERB57NHWZLADSCCQ5MVQ/action/citation_signature","submit_replication":"https://pith.science/pith/YHXKC2ERB57NHWZLADSCCQ5MVQ/action/replication_record"}},"created_at":"2026-05-17T23:53:20.028121+00:00","updated_at":"2026-05-17T23:53:20.028121+00:00"}