{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:MVTX2JHAZCEP2KNC2AN44CWOZO","short_pith_number":"pith:MVTX2JHA","schema_version":"1.0","canonical_sha256":"65677d24e0c888fd29a2d01bce0acecb85f8da2ed60d5a2de3ac55354241c43b","source":{"kind":"arxiv","id":"1908.10485","version":1},"attestation_state":"computed","paper":{"title":"On the Baum-Connes Conjecture for Groups Acting on CAT(0)-Cubical Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.OA"],"primary_cat":"math.KT","authors_text":"Erik Guentner, Jacek Brodzki, Nigel Higson, Shintaro Nishikawa","submitted_at":"2019-08-27T22:29:00Z","abstract_excerpt":"We give a new proof of the Baum--Connes conjecture with coefficients for any second countable, locally compact topological group that acts properly and cocompactly on a finite-dimensional CAT(0)-cubical space with bounded geometry. The proof uses the Julg-Valette complex of a CAT(0)-cubical space introduced by the first three authors, and the direct splitting method in Kasparov theory developed by the last author."},"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":"1908.10485","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2019-08-27T22:29:00Z","cross_cats_sorted":["math.GR","math.OA"],"title_canon_sha256":"e60a4958708e99340292c519d65d4b717d933cd9fda511ff628907e2751fd24e","abstract_canon_sha256":"9daf36ee40827861bdf3a4094adf308abf7c15acc74465ddc6d644988df2e8d0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:00:17.628793Z","signature_b64":"BcyueN0xmlrZLfijMlWe7nwRJgM3O7dogHp6eDTjy2+MTcA0QIffVX1cqjEizxHzKxcWcExnqlZ27Srj9oTfCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65677d24e0c888fd29a2d01bce0acecb85f8da2ed60d5a2de3ac55354241c43b","last_reissued_at":"2026-07-05T00:00:17.628264Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:00:17.628264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Baum-Connes Conjecture for Groups Acting on CAT(0)-Cubical Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.OA"],"primary_cat":"math.KT","authors_text":"Erik Guentner, Jacek Brodzki, Nigel Higson, Shintaro Nishikawa","submitted_at":"2019-08-27T22:29:00Z","abstract_excerpt":"We give a new proof of the Baum--Connes conjecture with coefficients for any second countable, locally compact topological group that acts properly and cocompactly on a finite-dimensional CAT(0)-cubical space with bounded geometry. The proof uses the Julg-Valette complex of a CAT(0)-cubical space introduced by the first three authors, and the direct splitting method in Kasparov theory developed by the last author."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.10485","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.10485/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1908.10485","created_at":"2026-07-05T00:00:17.628344+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.10485v1","created_at":"2026-07-05T00:00:17.628344+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.10485","created_at":"2026-07-05T00:00:17.628344+00:00"},{"alias_kind":"pith_short_12","alias_value":"MVTX2JHAZCEP","created_at":"2026-07-05T00:00:17.628344+00:00"},{"alias_kind":"pith_short_16","alias_value":"MVTX2JHAZCEP2KNC","created_at":"2026-07-05T00:00:17.628344+00:00"},{"alias_kind":"pith_short_8","alias_value":"MVTX2JHA","created_at":"2026-07-05T00:00:17.628344+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.03749","citing_title":"Groups with Spanier-Whitehead duality","ref_index":4,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MVTX2JHAZCEP2KNC2AN44CWOZO","json":"https://pith.science/pith/MVTX2JHAZCEP2KNC2AN44CWOZO.json","graph_json":"https://pith.science/api/pith-number/MVTX2JHAZCEP2KNC2AN44CWOZO/graph.json","events_json":"https://pith.science/api/pith-number/MVTX2JHAZCEP2KNC2AN44CWOZO/events.json","paper":"https://pith.science/paper/MVTX2JHA"},"agent_actions":{"view_html":"https://pith.science/pith/MVTX2JHAZCEP2KNC2AN44CWOZO","download_json":"https://pith.science/pith/MVTX2JHAZCEP2KNC2AN44CWOZO.json","view_paper":"https://pith.science/paper/MVTX2JHA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.10485&json=true","fetch_graph":"https://pith.science/api/pith-number/MVTX2JHAZCEP2KNC2AN44CWOZO/graph.json","fetch_events":"https://pith.science/api/pith-number/MVTX2JHAZCEP2KNC2AN44CWOZO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MVTX2JHAZCEP2KNC2AN44CWOZO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MVTX2JHAZCEP2KNC2AN44CWOZO/action/storage_attestation","attest_author":"https://pith.science/pith/MVTX2JHAZCEP2KNC2AN44CWOZO/action/author_attestation","sign_citation":"https://pith.science/pith/MVTX2JHAZCEP2KNC2AN44CWOZO/action/citation_signature","submit_replication":"https://pith.science/pith/MVTX2JHAZCEP2KNC2AN44CWOZO/action/replication_record"}},"created_at":"2026-07-05T00:00:17.628344+00:00","updated_at":"2026-07-05T00:00:17.628344+00:00"}