{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:GDCEGQZABTXLNORHYF6FGQNCUE","short_pith_number":"pith:GDCEGQZA","schema_version":"1.0","canonical_sha256":"30c44343200ceeb6ba27c17c5341a2a138fb9dddf7a34bd9f22223ef3139a995","source":{"kind":"arxiv","id":"1504.03674","version":3},"attestation_state":"computed","paper":{"title":"Algebraic K-theory of group rings and the cyclotomic trace map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.GT"],"primary_cat":"math.KT","authors_text":"Holger Reich, John Rognes, Marco Varisco, Wolfgang Lueck","submitted_at":"2015-04-14T19:55:01Z","abstract_excerpt":"We prove that the Farrell-Jones assembly map for connective algebraic K-theory is rationally injective, under mild homological finiteness conditions on the group and assuming that a weak version of the Leopoldt-Schneider conjecture holds for cyclotomic fields. This generalizes a result of B\\\"okstedt, Hsiang, and Madsen, and leads to a concrete description of a large direct summand of $K_n(\\mathbb{Z}[G])\\otimes_{\\mathbb{Z}}\\mathbb{Q}$ in terms of group homology. In many cases the number theoretic conjectures are true, so we obtain rational injectivity results about assembly maps, in particular "},"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":"1504.03674","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2015-04-14T19:55:01Z","cross_cats_sorted":["math.AT","math.GT"],"title_canon_sha256":"43f5bdd282b03886734ad630d278b26754c3ff60c4b55858aac6737b427e1394","abstract_canon_sha256":"3cf5d4496da153ca96c7d595034d1915b42fcb517e4f0ea1801b94fdec6a5d27"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:09.496892Z","signature_b64":"g6U9O7yW53Qb10NZHmpVMtFrOXpLA8eCSEeSuCR/2KZrPVxmSvVwF/Ly+/Je8RGt1JAvgLGOa0MCyCUlbiXXAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30c44343200ceeb6ba27c17c5341a2a138fb9dddf7a34bd9f22223ef3139a995","last_reissued_at":"2026-05-18T01:04:09.496232Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:09.496232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Algebraic K-theory of group rings and the cyclotomic trace map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.GT"],"primary_cat":"math.KT","authors_text":"Holger Reich, John Rognes, Marco Varisco, Wolfgang Lueck","submitted_at":"2015-04-14T19:55:01Z","abstract_excerpt":"We prove that the Farrell-Jones assembly map for connective algebraic K-theory is rationally injective, under mild homological finiteness conditions on the group and assuming that a weak version of the Leopoldt-Schneider conjecture holds for cyclotomic fields. This generalizes a result of B\\\"okstedt, Hsiang, and Madsen, and leads to a concrete description of a large direct summand of $K_n(\\mathbb{Z}[G])\\otimes_{\\mathbb{Z}}\\mathbb{Q}$ in terms of group homology. In many cases the number theoretic conjectures are true, so we obtain rational injectivity results about assembly maps, in particular "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03674","kind":"arxiv","version":3},"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":"1504.03674","created_at":"2026-05-18T01:04:09.496338+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.03674v3","created_at":"2026-05-18T01:04:09.496338+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03674","created_at":"2026-05-18T01:04:09.496338+00:00"},{"alias_kind":"pith_short_12","alias_value":"GDCEGQZABTXL","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"GDCEGQZABTXLNORH","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"GDCEGQZA","created_at":"2026-05-18T12:29:22.688609+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/GDCEGQZABTXLNORHYF6FGQNCUE","json":"https://pith.science/pith/GDCEGQZABTXLNORHYF6FGQNCUE.json","graph_json":"https://pith.science/api/pith-number/GDCEGQZABTXLNORHYF6FGQNCUE/graph.json","events_json":"https://pith.science/api/pith-number/GDCEGQZABTXLNORHYF6FGQNCUE/events.json","paper":"https://pith.science/paper/GDCEGQZA"},"agent_actions":{"view_html":"https://pith.science/pith/GDCEGQZABTXLNORHYF6FGQNCUE","download_json":"https://pith.science/pith/GDCEGQZABTXLNORHYF6FGQNCUE.json","view_paper":"https://pith.science/paper/GDCEGQZA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.03674&json=true","fetch_graph":"https://pith.science/api/pith-number/GDCEGQZABTXLNORHYF6FGQNCUE/graph.json","fetch_events":"https://pith.science/api/pith-number/GDCEGQZABTXLNORHYF6FGQNCUE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GDCEGQZABTXLNORHYF6FGQNCUE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GDCEGQZABTXLNORHYF6FGQNCUE/action/storage_attestation","attest_author":"https://pith.science/pith/GDCEGQZABTXLNORHYF6FGQNCUE/action/author_attestation","sign_citation":"https://pith.science/pith/GDCEGQZABTXLNORHYF6FGQNCUE/action/citation_signature","submit_replication":"https://pith.science/pith/GDCEGQZABTXLNORHYF6FGQNCUE/action/replication_record"}},"created_at":"2026-05-18T01:04:09.496338+00:00","updated_at":"2026-05-18T01:04:09.496338+00:00"}