{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QDYFTKBTM6R2LLWQJAANNNET2L","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":"d3758cb5677c5e4171d21cff13d6bec270ea655670c2f92f4ccd4d8ae62f5330","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-11-18T14:27:41Z","title_canon_sha256":"cedb50ff7a50ef4452ffdb52f1b613d5dfb3e135f3692189a80a91a1fd584250"},"schema_version":"1.0","source":{"id":"1611.06099","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.06099","created_at":"2026-05-18T00:03:37Z"},{"alias_kind":"arxiv_version","alias_value":"1611.06099v4","created_at":"2026-05-18T00:03:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06099","created_at":"2026-05-18T00:03:37Z"},{"alias_kind":"pith_short_12","alias_value":"QDYFTKBTM6R2","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QDYFTKBTM6R2LLWQ","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QDYFTKBT","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:6c34053d233fa044ebbcf175d706984cfe596f6d0c6486962ced72a57f9ed1cd","target":"graph","created_at":"2026-05-18T00:03:37Z","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 provide some new computations of Farrell--Tate and Bredon (co)homology for arithmetic groups. For calculations of Farrell--Tate or Bredon homology, one needs cell complexes wherecell stabilizers fix their cells pointwise. We provide two algorithms computing an efficient subdivision of a complex to achieve this rigidity property. Applying these algorithms to available cell complexes for PSL4(Z) provides computations of Farrell--Tate cohomology for small primes as well as the Bredon homology for the classifying spaces of proper actions with coefficients in the complex representation ring.","authors_text":"Alexander Rahm (NUIG), Anh Tuan Bui (HCMUS), Matthias Wendt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-11-18T14:27:41Z","title":"The Farrell--Tate and Bredon homology for PSL\\_4(Z) via cell subdivisions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06099","kind":"arxiv","version":4},"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:d8cf94d8ebc46e2b23de74fbcc6dab7b81bdb871b6fb450c7ea8c907de50c17d","target":"record","created_at":"2026-05-18T00:03:37Z","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":"d3758cb5677c5e4171d21cff13d6bec270ea655670c2f92f4ccd4d8ae62f5330","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-11-18T14:27:41Z","title_canon_sha256":"cedb50ff7a50ef4452ffdb52f1b613d5dfb3e135f3692189a80a91a1fd584250"},"schema_version":"1.0","source":{"id":"1611.06099","kind":"arxiv","version":4}},"canonical_sha256":"80f059a83367a3a5aed04800d6b493d2f4c1801f5816311855f4a24a2edad253","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80f059a83367a3a5aed04800d6b493d2f4c1801f5816311855f4a24a2edad253","first_computed_at":"2026-05-18T00:03:37.468994Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:37.468994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LXwB5N/eyYZdNn1+Am31SLM2FayRFBzeOIt5OYQLSifmEneAJxMtN3/oKTKHIKYPA8pdG/xeN+RmwGpz7OapCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:37.469659Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.06099","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d8cf94d8ebc46e2b23de74fbcc6dab7b81bdb871b6fb450c7ea8c907de50c17d","sha256:6c34053d233fa044ebbcf175d706984cfe596f6d0c6486962ced72a57f9ed1cd"],"state_sha256":"6305f2eeb6af33c4752dabbc60f6a76226e918725f8fc73805b134b720adff01"}