{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:PJAMWNJSV3IXGUVUW5Q4KFUVN4","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d8568ea65e2b20be46222643baae0a55a2a31eaf836041c7fe799c66ba8e8f31","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2009-11-17T11:14:07Z","title_canon_sha256":"0892dd003ec45c445b460a57787a21241acd166e8aeacd207dc172fb52fb2a62"},"schema_version":"1.0","source":{"id":"0911.3267","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.3267","created_at":"2026-05-18T02:58:02Z"},{"alias_kind":"arxiv_version","alias_value":"0911.3267v2","created_at":"2026-05-18T02:58:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.3267","created_at":"2026-05-18T02:58:02Z"},{"alias_kind":"pith_short_12","alias_value":"PJAMWNJSV3IX","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"PJAMWNJSV3IXGUVU","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"PJAMWNJS","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:351f0392f4c2e626b8f6ce6087b711dc3f2e95eb15ff463daea45dc905d12f43","target":"graph","created_at":"2026-05-18T02:58:02Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We ask, following Bartholdi, whether it is true that the kernel of the restriction map from the cohomology of a group G to the cohomology of a finite index subgroup H is finitely generated as an ideal. We show that in case the group has virtual finite cohomological dimension it is true, and we will show that if G does not have virtual finite cohomological dimension it might not be true, even in case G is an FP infinity group.","authors_text":"Ehud Meir","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2009-11-17T11:14:07Z","title":"The cohomological restriction map and FP-infinity groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.3267","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:38b06e0a5eb556d4e3cf5a039ebe23430ea327049ebe96b54eb6d29999fa8940","target":"record","created_at":"2026-05-18T02:58:02Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d8568ea65e2b20be46222643baae0a55a2a31eaf836041c7fe799c66ba8e8f31","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2009-11-17T11:14:07Z","title_canon_sha256":"0892dd003ec45c445b460a57787a21241acd166e8aeacd207dc172fb52fb2a62"},"schema_version":"1.0","source":{"id":"0911.3267","kind":"arxiv","version":2}},"canonical_sha256":"7a40cb3532aed17352b4b761c516956f229997f9629402a0184d27ddbb01c136","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a40cb3532aed17352b4b761c516956f229997f9629402a0184d27ddbb01c136","first_computed_at":"2026-05-18T02:58:02.628927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:02.628927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LCbeGxPWDEKQ/EojA27H39ckiwDfrB9Phdjbe1algIe/np/3O/R3sn3b+9Z4PIrb0qCaHXSt/Q0hFGniSkLuCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:02.629380Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.3267","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38b06e0a5eb556d4e3cf5a039ebe23430ea327049ebe96b54eb6d29999fa8940","sha256:351f0392f4c2e626b8f6ce6087b711dc3f2e95eb15ff463daea45dc905d12f43"],"state_sha256":"48c0ba39181793dc3917f830bbeb11ff16119b6da2d2eae59a693a8de76b8fc8"}