{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:CFMFRPI7EXKBQGRLW52N57ZIEI","short_pith_number":"pith:CFMFRPI7","schema_version":"1.0","canonical_sha256":"115858bd1f25d4181a2bb774deff28220a02446fbdb2cab4cd0858a4ca6f892e","source":{"kind":"arxiv","id":"1103.4052","version":2},"attestation_state":"computed","paper":{"title":"A seven-term exact sequence for the cohomology of a group extension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Karel Dekimpe, Manfred Hartl, Sarah Wauters","submitted_at":"2011-03-21T15:31:26Z","abstract_excerpt":"In this paper, we construct a seven-term exact sequence involving the cohomology groups of a group extension. Although the existence of such a sequence can be derived using spectral sequence arguments, there is little knowledge about some of the maps occuring in the sequence, limiting its usefulness. Here we present a construction using only very elementary tools, always related to the notion of conjugation in a group. This results in a complete and usable description of all the maps, which we describe both on cocycle level as on the level of the interpretations of low dimensional cohomology g"},"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":"1103.4052","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-03-21T15:31:26Z","cross_cats_sorted":[],"title_canon_sha256":"498cb2881d7219a5ae71300457dec1840149ac58ab739892ed9a1ff14791d7a0","abstract_canon_sha256":"057008fb289e3e199f2a7ac192347ec8872ff89beadbb93dfef66738c12d4881"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:04:30.062804Z","signature_b64":"+DW8m40DSR4rw1PWAtzWbnfNWX37U4xjVBI2Xm2mvby/C8dr8Lb0srGxdK4j1cuvJr+Dqa4m2EjleJt+CEmwBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"115858bd1f25d4181a2bb774deff28220a02446fbdb2cab4cd0858a4ca6f892e","last_reissued_at":"2026-05-18T04:04:30.062105Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:04:30.062105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A seven-term exact sequence for the cohomology of a group extension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Karel Dekimpe, Manfred Hartl, Sarah Wauters","submitted_at":"2011-03-21T15:31:26Z","abstract_excerpt":"In this paper, we construct a seven-term exact sequence involving the cohomology groups of a group extension. Although the existence of such a sequence can be derived using spectral sequence arguments, there is little knowledge about some of the maps occuring in the sequence, limiting its usefulness. Here we present a construction using only very elementary tools, always related to the notion of conjugation in a group. This results in a complete and usable description of all the maps, which we describe both on cocycle level as on the level of the interpretations of low dimensional cohomology g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4052","kind":"arxiv","version":2},"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":"1103.4052","created_at":"2026-05-18T04:04:30.062207+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.4052v2","created_at":"2026-05-18T04:04:30.062207+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4052","created_at":"2026-05-18T04:04:30.062207+00:00"},{"alias_kind":"pith_short_12","alias_value":"CFMFRPI7EXKB","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"CFMFRPI7EXKBQGRL","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"CFMFRPI7","created_at":"2026-05-18T12:26:26.731475+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/CFMFRPI7EXKBQGRLW52N57ZIEI","json":"https://pith.science/pith/CFMFRPI7EXKBQGRLW52N57ZIEI.json","graph_json":"https://pith.science/api/pith-number/CFMFRPI7EXKBQGRLW52N57ZIEI/graph.json","events_json":"https://pith.science/api/pith-number/CFMFRPI7EXKBQGRLW52N57ZIEI/events.json","paper":"https://pith.science/paper/CFMFRPI7"},"agent_actions":{"view_html":"https://pith.science/pith/CFMFRPI7EXKBQGRLW52N57ZIEI","download_json":"https://pith.science/pith/CFMFRPI7EXKBQGRLW52N57ZIEI.json","view_paper":"https://pith.science/paper/CFMFRPI7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.4052&json=true","fetch_graph":"https://pith.science/api/pith-number/CFMFRPI7EXKBQGRLW52N57ZIEI/graph.json","fetch_events":"https://pith.science/api/pith-number/CFMFRPI7EXKBQGRLW52N57ZIEI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CFMFRPI7EXKBQGRLW52N57ZIEI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CFMFRPI7EXKBQGRLW52N57ZIEI/action/storage_attestation","attest_author":"https://pith.science/pith/CFMFRPI7EXKBQGRLW52N57ZIEI/action/author_attestation","sign_citation":"https://pith.science/pith/CFMFRPI7EXKBQGRLW52N57ZIEI/action/citation_signature","submit_replication":"https://pith.science/pith/CFMFRPI7EXKBQGRLW52N57ZIEI/action/replication_record"}},"created_at":"2026-05-18T04:04:30.062207+00:00","updated_at":"2026-05-18T04:04:30.062207+00:00"}