{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GDCEGQZABTXLNORHYF6FGQNCUE","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":"3cf5d4496da153ca96c7d595034d1915b42fcb517e4f0ea1801b94fdec6a5d27","cross_cats_sorted":["math.AT","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2015-04-14T19:55:01Z","title_canon_sha256":"43f5bdd282b03886734ad630d278b26754c3ff60c4b55858aac6737b427e1394"},"schema_version":"1.0","source":{"id":"1504.03674","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.03674","created_at":"2026-05-18T01:04:09Z"},{"alias_kind":"arxiv_version","alias_value":"1504.03674v3","created_at":"2026-05-18T01:04:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03674","created_at":"2026-05-18T01:04:09Z"},{"alias_kind":"pith_short_12","alias_value":"GDCEGQZABTXL","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GDCEGQZABTXLNORH","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GDCEGQZA","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:77a08f6ef5d0bdb88ac2bddef166b732c08f9d3fdf3e6f92636e2402aa41d6a7","target":"graph","created_at":"2026-05-18T01:04:09Z","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 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 ","authors_text":"Holger Reich, John Rognes, Marco Varisco, Wolfgang Lueck","cross_cats":["math.AT","math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2015-04-14T19:55:01Z","title":"Algebraic K-theory of group rings and the cyclotomic trace map"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03674","kind":"arxiv","version":3},"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:f6be5394a8969e41cc1420882e540cc06caa76e8c8ed883be3df65dd11a481a7","target":"record","created_at":"2026-05-18T01:04:09Z","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":"3cf5d4496da153ca96c7d595034d1915b42fcb517e4f0ea1801b94fdec6a5d27","cross_cats_sorted":["math.AT","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2015-04-14T19:55:01Z","title_canon_sha256":"43f5bdd282b03886734ad630d278b26754c3ff60c4b55858aac6737b427e1394"},"schema_version":"1.0","source":{"id":"1504.03674","kind":"arxiv","version":3}},"canonical_sha256":"30c44343200ceeb6ba27c17c5341a2a138fb9dddf7a34bd9f22223ef3139a995","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30c44343200ceeb6ba27c17c5341a2a138fb9dddf7a34bd9f22223ef3139a995","first_computed_at":"2026-05-18T01:04:09.496232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:09.496232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g6U9O7yW53Qb10NZHmpVMtFrOXpLA8eCSEeSuCR/2KZrPVxmSvVwF/Ly+/Je8RGt1JAvgLGOa0MCyCUlbiXXAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:09.496892Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.03674","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6be5394a8969e41cc1420882e540cc06caa76e8c8ed883be3df65dd11a481a7","sha256:77a08f6ef5d0bdb88ac2bddef166b732c08f9d3fdf3e6f92636e2402aa41d6a7"],"state_sha256":"2b041463eed5a24619bb7a62cb4ae24e8d911c497bd747752aedd845cb40afa9"}