{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ZJSJ5SMVH4OGCHMF27NJMMZH4X","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":"351156e6944bb288b61a7d4ff8e1bdaefcc94ccf3bd38822df0f25d2aeb4bb24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2010-07-06T09:45:13Z","title_canon_sha256":"76ed87b358aaa03c451309119a8e9485e9c78d2b7107cb74860d0930e54e1b01"},"schema_version":"1.0","source":{"id":"1007.0845","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.0845","created_at":"2026-05-18T03:55:37Z"},{"alias_kind":"arxiv_version","alias_value":"1007.0845v3","created_at":"2026-05-18T03:55:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.0845","created_at":"2026-05-18T03:55:37Z"},{"alias_kind":"pith_short_12","alias_value":"ZJSJ5SMVH4OG","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZJSJ5SMVH4OGCHMF","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZJSJ5SMV","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:2e6f5d81fd13e51bdaef4db0051de2e3a280ea4624dc88de4ac7188f098e2ac5","target":"graph","created_at":"2026-05-18T03:55:37Z","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 investigate the algebraic K- and L-theory of the group ring RG, where G is a hyperbolic or virtually finitely generated abelian group and R is an associative ring with unit.","authors_text":"David Rosenthal, Wolfgang Lueck","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2010-07-06T09:45:13Z","title":"On the K- and L-theory of hyperbolic and virtually finitely generated abelian groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.0845","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:b47d26186461cd49030e31f867e0dffb7660c898bd53fce95b514d71e4894ea5","target":"record","created_at":"2026-05-18T03:55:37Z","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":"351156e6944bb288b61a7d4ff8e1bdaefcc94ccf3bd38822df0f25d2aeb4bb24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2010-07-06T09:45:13Z","title_canon_sha256":"76ed87b358aaa03c451309119a8e9485e9c78d2b7107cb74860d0930e54e1b01"},"schema_version":"1.0","source":{"id":"1007.0845","kind":"arxiv","version":3}},"canonical_sha256":"ca649ec9953f1c611d85d7da963327e5f87e1161be01075f5643e8b42297ff71","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca649ec9953f1c611d85d7da963327e5f87e1161be01075f5643e8b42297ff71","first_computed_at":"2026-05-18T03:55:37.682501Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:37.682501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"klXWyV9Y4nhtORoSDDda/M33rt6XRHyjDteTwDGzEG4/g+ZtflSNVAXZH2pBgUwJ39JRYn9H+qJtmi1h9ijdBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:37.683023Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.0845","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b47d26186461cd49030e31f867e0dffb7660c898bd53fce95b514d71e4894ea5","sha256:2e6f5d81fd13e51bdaef4db0051de2e3a280ea4624dc88de4ac7188f098e2ac5"],"state_sha256":"dfa0ddf9eb5fdd654d512cf08e337f816bd4261a77fa4f6ee992c62a2cc764d4"}