{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:2DHLNIZ3M5FIVNFYQHMHSH4JYD","short_pith_number":"pith:2DHLNIZ3","schema_version":"1.0","canonical_sha256":"d0ceb6a33b674a8ab4b881d8791f89c0f14054ab703a280cc059da7ec972cb0e","source":{"kind":"arxiv","id":"1104.5331","version":6},"attestation_state":"computed","paper":{"title":"Assigning a classifying space to a fusion system up to F-isomorphism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Nora Seeliger","submitted_at":"2011-04-28T09:22:03Z","abstract_excerpt":"Complementing and extending the Inventiones work of Benson, Grodal, Henke [Group cohomology and control of p-fusion, Invent. Math. 197 (2014), 491--507] we give criteria for a space to have cohomology (strongly) F-isomorphic in the sense of Quillen to the stable elements. We extend results about groups models to fusion systems over discrete $p$-toral groups and profinite groups and provide various applications to the Kan-Thurston Theorem."},"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":"1104.5331","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-04-28T09:22:03Z","cross_cats_sorted":[],"title_canon_sha256":"8a2dea7019c1087487dec7eee34d048351892927e0d08cd58ba4a0eef93dae85","abstract_canon_sha256":"fb160e97e47e378b3b551e789bd20eacc7b7d48acb8d0a2235024bbe406fd824"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:10.855990Z","signature_b64":"r8xkbs6O9WU5vd4l6mwCJgS6mIaocFASRRQvB/j8QydLZZSQjmhAB5lDYQGyBWPlTvsJiRVb2MkfYHjWGPL/DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0ceb6a33b674a8ab4b881d8791f89c0f14054ab703a280cc059da7ec972cb0e","last_reissued_at":"2026-05-17T23:56:10.855412Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:10.855412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Assigning a classifying space to a fusion system up to F-isomorphism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Nora Seeliger","submitted_at":"2011-04-28T09:22:03Z","abstract_excerpt":"Complementing and extending the Inventiones work of Benson, Grodal, Henke [Group cohomology and control of p-fusion, Invent. Math. 197 (2014), 491--507] we give criteria for a space to have cohomology (strongly) F-isomorphic in the sense of Quillen to the stable elements. We extend results about groups models to fusion systems over discrete $p$-toral groups and profinite groups and provide various applications to the Kan-Thurston Theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5331","kind":"arxiv","version":6},"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":"1104.5331","created_at":"2026-05-17T23:56:10.855525+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.5331v6","created_at":"2026-05-17T23:56:10.855525+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5331","created_at":"2026-05-17T23:56:10.855525+00:00"},{"alias_kind":"pith_short_12","alias_value":"2DHLNIZ3M5FI","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"2DHLNIZ3M5FIVNFY","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"2DHLNIZ3","created_at":"2026-05-18T12:26:18.847500+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/2DHLNIZ3M5FIVNFYQHMHSH4JYD","json":"https://pith.science/pith/2DHLNIZ3M5FIVNFYQHMHSH4JYD.json","graph_json":"https://pith.science/api/pith-number/2DHLNIZ3M5FIVNFYQHMHSH4JYD/graph.json","events_json":"https://pith.science/api/pith-number/2DHLNIZ3M5FIVNFYQHMHSH4JYD/events.json","paper":"https://pith.science/paper/2DHLNIZ3"},"agent_actions":{"view_html":"https://pith.science/pith/2DHLNIZ3M5FIVNFYQHMHSH4JYD","download_json":"https://pith.science/pith/2DHLNIZ3M5FIVNFYQHMHSH4JYD.json","view_paper":"https://pith.science/paper/2DHLNIZ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.5331&json=true","fetch_graph":"https://pith.science/api/pith-number/2DHLNIZ3M5FIVNFYQHMHSH4JYD/graph.json","fetch_events":"https://pith.science/api/pith-number/2DHLNIZ3M5FIVNFYQHMHSH4JYD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2DHLNIZ3M5FIVNFYQHMHSH4JYD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2DHLNIZ3M5FIVNFYQHMHSH4JYD/action/storage_attestation","attest_author":"https://pith.science/pith/2DHLNIZ3M5FIVNFYQHMHSH4JYD/action/author_attestation","sign_citation":"https://pith.science/pith/2DHLNIZ3M5FIVNFYQHMHSH4JYD/action/citation_signature","submit_replication":"https://pith.science/pith/2DHLNIZ3M5FIVNFYQHMHSH4JYD/action/replication_record"}},"created_at":"2026-05-17T23:56:10.855525+00:00","updated_at":"2026-05-17T23:56:10.855525+00:00"}