{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:RTFUL4MJ4ZFLYKC3BDV3HWK3CC","short_pith_number":"pith:RTFUL4MJ","schema_version":"1.0","canonical_sha256":"8ccb45f189e64abc285b08ebb3d95b10a64a1d0e6612196ba0c1b4dbe67877bd","source":{"kind":"arxiv","id":"1407.2820","version":4},"attestation_state":"computed","paper":{"title":"On subgroups of right angled Artin groups with few generators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Ashot Minasyan","submitted_at":"2014-07-10T15:03:30Z","abstract_excerpt":"For each natural number $d$ we construct a $3$-generated group $H_d$, which is a subdirect product of free groups, such that the cohomological dimension of $H_d$ is $d$. Given a group $F$ and a normal subgroup $N \\lhd F$ we prove that any right angled Artin group containing the special HNN-extension of $F$ with respect to $N$ must also contain $F/N$. We apply this to construct, for every $d \\in \\mathbb{N}$, a $4$-generated group $G_d$, embeddable into a right angled Artin group, such that the cohomological dimension of $G_d$ is $2$ but the cohomological dimension of any right angled Artin grou"},"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":"1407.2820","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-07-10T15:03:30Z","cross_cats_sorted":[],"title_canon_sha256":"e022e01f08deecbea4a0ddee15901dc7b983bf7432f178d9285092c31ff427bf","abstract_canon_sha256":"a516623426531940f9ae5405592b3c188f0b39e416f6e79bc0935f3b44377852"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:29.852000Z","signature_b64":"cFJJqj6jVIzgNa/pJWdzcaWckv5bcxoWzwDOkXC6kZsycYjrX8EE2qjmErlGNBR+5+zK+teHEpC+LXr05jR/BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ccb45f189e64abc285b08ebb3d95b10a64a1d0e6612196ba0c1b4dbe67877bd","last_reissued_at":"2026-05-18T01:09:29.851580Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:29.851580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On subgroups of right angled Artin groups with few generators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Ashot Minasyan","submitted_at":"2014-07-10T15:03:30Z","abstract_excerpt":"For each natural number $d$ we construct a $3$-generated group $H_d$, which is a subdirect product of free groups, such that the cohomological dimension of $H_d$ is $d$. Given a group $F$ and a normal subgroup $N \\lhd F$ we prove that any right angled Artin group containing the special HNN-extension of $F$ with respect to $N$ must also contain $F/N$. We apply this to construct, for every $d \\in \\mathbb{N}$, a $4$-generated group $G_d$, embeddable into a right angled Artin group, such that the cohomological dimension of $G_d$ is $2$ but the cohomological dimension of any right angled Artin grou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2820","kind":"arxiv","version":4},"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":"1407.2820","created_at":"2026-05-18T01:09:29.851641+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.2820v4","created_at":"2026-05-18T01:09:29.851641+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.2820","created_at":"2026-05-18T01:09:29.851641+00:00"},{"alias_kind":"pith_short_12","alias_value":"RTFUL4MJ4ZFL","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_16","alias_value":"RTFUL4MJ4ZFLYKC3","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_8","alias_value":"RTFUL4MJ","created_at":"2026-05-18T12:28:46.137349+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/RTFUL4MJ4ZFLYKC3BDV3HWK3CC","json":"https://pith.science/pith/RTFUL4MJ4ZFLYKC3BDV3HWK3CC.json","graph_json":"https://pith.science/api/pith-number/RTFUL4MJ4ZFLYKC3BDV3HWK3CC/graph.json","events_json":"https://pith.science/api/pith-number/RTFUL4MJ4ZFLYKC3BDV3HWK3CC/events.json","paper":"https://pith.science/paper/RTFUL4MJ"},"agent_actions":{"view_html":"https://pith.science/pith/RTFUL4MJ4ZFLYKC3BDV3HWK3CC","download_json":"https://pith.science/pith/RTFUL4MJ4ZFLYKC3BDV3HWK3CC.json","view_paper":"https://pith.science/paper/RTFUL4MJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.2820&json=true","fetch_graph":"https://pith.science/api/pith-number/RTFUL4MJ4ZFLYKC3BDV3HWK3CC/graph.json","fetch_events":"https://pith.science/api/pith-number/RTFUL4MJ4ZFLYKC3BDV3HWK3CC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RTFUL4MJ4ZFLYKC3BDV3HWK3CC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RTFUL4MJ4ZFLYKC3BDV3HWK3CC/action/storage_attestation","attest_author":"https://pith.science/pith/RTFUL4MJ4ZFLYKC3BDV3HWK3CC/action/author_attestation","sign_citation":"https://pith.science/pith/RTFUL4MJ4ZFLYKC3BDV3HWK3CC/action/citation_signature","submit_replication":"https://pith.science/pith/RTFUL4MJ4ZFLYKC3BDV3HWK3CC/action/replication_record"}},"created_at":"2026-05-18T01:09:29.851641+00:00","updated_at":"2026-05-18T01:09:29.851641+00:00"}