{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:DHIDERRRSBL3FG2ZDPRXRRVZ3N","short_pith_number":"pith:DHIDERRR","schema_version":"1.0","canonical_sha256":"19d03246319057b29b591be378c6b9db4675063f6e9908099ea4aa8cf2628a1d","source":{"kind":"arxiv","id":"1403.5493","version":1},"attestation_state":"computed","paper":{"title":"The cohomology of the sporadic group $J_2$ over $\\mathbb{F}_3$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AT","authors_text":"Antonio D\\'iaz Ramos, Oihana Garaialde Oca\\~na","submitted_at":"2014-03-21T15:23:43Z","abstract_excerpt":"We describe the cohomology ring $H^*(J_2;\\mathbb{F}_3)$ both as subring of $H^*(3^{1+2}_+;\\mathbb{F}_3)$ and with an abstract presentation. We also give its Poincar\\'{e} series. We use as tool a spectral sequence for the strongly closed $3$-subgroup of $J_2$. This method might be used to compute the cohomology of any finite simple group with a strongly closed $p$-subgroup."},"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":"1403.5493","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-03-21T15:23:43Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"488a988cfd8460c3c9ca57f744f1568bea969274e8fcfc5938ed6cb8998a313b","abstract_canon_sha256":"ee38727c2f003da757dacbb08c689df19b6ccb9a8469ef7cfdd4db22e7b9008b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:56.219498Z","signature_b64":"k1Fp7VzuAtjD6iiPonZRewSlb6dg09vVPeAsUr8k0eYXIpBbZElCd0fI3+zbhoyHFAxO/HfUJr8gCHQFu3+SCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19d03246319057b29b591be378c6b9db4675063f6e9908099ea4aa8cf2628a1d","last_reissued_at":"2026-05-18T02:55:56.218907Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:56.218907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The cohomology of the sporadic group $J_2$ over $\\mathbb{F}_3$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AT","authors_text":"Antonio D\\'iaz Ramos, Oihana Garaialde Oca\\~na","submitted_at":"2014-03-21T15:23:43Z","abstract_excerpt":"We describe the cohomology ring $H^*(J_2;\\mathbb{F}_3)$ both as subring of $H^*(3^{1+2}_+;\\mathbb{F}_3)$ and with an abstract presentation. We also give its Poincar\\'{e} series. We use as tool a spectral sequence for the strongly closed $3$-subgroup of $J_2$. This method might be used to compute the cohomology of any finite simple group with a strongly closed $p$-subgroup."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5493","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":"1403.5493","created_at":"2026-05-18T02:55:56.218999+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.5493v1","created_at":"2026-05-18T02:55:56.218999+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.5493","created_at":"2026-05-18T02:55:56.218999+00:00"},{"alias_kind":"pith_short_12","alias_value":"DHIDERRRSBL3","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"DHIDERRRSBL3FG2Z","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"DHIDERRR","created_at":"2026-05-18T12:28:25.294606+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/DHIDERRRSBL3FG2ZDPRXRRVZ3N","json":"https://pith.science/pith/DHIDERRRSBL3FG2ZDPRXRRVZ3N.json","graph_json":"https://pith.science/api/pith-number/DHIDERRRSBL3FG2ZDPRXRRVZ3N/graph.json","events_json":"https://pith.science/api/pith-number/DHIDERRRSBL3FG2ZDPRXRRVZ3N/events.json","paper":"https://pith.science/paper/DHIDERRR"},"agent_actions":{"view_html":"https://pith.science/pith/DHIDERRRSBL3FG2ZDPRXRRVZ3N","download_json":"https://pith.science/pith/DHIDERRRSBL3FG2ZDPRXRRVZ3N.json","view_paper":"https://pith.science/paper/DHIDERRR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.5493&json=true","fetch_graph":"https://pith.science/api/pith-number/DHIDERRRSBL3FG2ZDPRXRRVZ3N/graph.json","fetch_events":"https://pith.science/api/pith-number/DHIDERRRSBL3FG2ZDPRXRRVZ3N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DHIDERRRSBL3FG2ZDPRXRRVZ3N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DHIDERRRSBL3FG2ZDPRXRRVZ3N/action/storage_attestation","attest_author":"https://pith.science/pith/DHIDERRRSBL3FG2ZDPRXRRVZ3N/action/author_attestation","sign_citation":"https://pith.science/pith/DHIDERRRSBL3FG2ZDPRXRRVZ3N/action/citation_signature","submit_replication":"https://pith.science/pith/DHIDERRRSBL3FG2ZDPRXRRVZ3N/action/replication_record"}},"created_at":"2026-05-18T02:55:56.218999+00:00","updated_at":"2026-05-18T02:55:56.218999+00:00"}