{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CQJAWXQK2YBXZKI5CUZP4LB7TF","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":"e962adb42107f6d216b7f8d5e66aec70b31ae2e201b1747974a42785982abbda","cross_cats_sorted":["math.AT","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-09-23T19:21:11Z","title_canon_sha256":"1eadec3c2bd8c19d4eaad12b61772ae6d8b26cf8d5c57103d89905426fb2c490"},"schema_version":"1.0","source":{"id":"1609.07468","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.07468","created_at":"2026-05-18T00:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"1609.07468v2","created_at":"2026-05-18T00:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.07468","created_at":"2026-05-18T00:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"CQJAWXQK2YBX","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CQJAWXQK2YBXZKI5","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CQJAWXQK","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:d61d9771edd46f9fb431db4c97c6fb1447edfcaee1a2718eb6b41b3ad1b7dc17","target":"graph","created_at":"2026-05-18T00:04:42Z","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 the A-theoretic Farrell-Jones Conjecture for virtually solvable groups. As a corollary, we obtain that the conjecture holds for S-arithmetic groups and lattices in almost connected Lie groups.","authors_text":"Christian Wegner, Christoph Winges, Daniel Kasprowski, Mark Ullmann","cross_cats":["math.AT","math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-09-23T19:21:11Z","title":"The A-theoretic Farrell-Jones Conjecture for virtually solvable groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07468","kind":"arxiv","version":2},"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:b0159541af1a1a51f1b5f59cfa41a705f3bc4ad2becc91c3c26b3a17eadd6bbe","target":"record","created_at":"2026-05-18T00:04:42Z","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":"e962adb42107f6d216b7f8d5e66aec70b31ae2e201b1747974a42785982abbda","cross_cats_sorted":["math.AT","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-09-23T19:21:11Z","title_canon_sha256":"1eadec3c2bd8c19d4eaad12b61772ae6d8b26cf8d5c57103d89905426fb2c490"},"schema_version":"1.0","source":{"id":"1609.07468","kind":"arxiv","version":2}},"canonical_sha256":"14120b5e0ad6037ca91d1532fe2c3f996964c345b91f2f75cbd6d0fcbb472554","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"14120b5e0ad6037ca91d1532fe2c3f996964c345b91f2f75cbd6d0fcbb472554","first_computed_at":"2026-05-18T00:04:42.005263Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:42.005263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qCXrwcOVTdvrO4nyJRrVVXssmc8XEEaObvoWCrxqkWC4dLtTIbkFlSRq4MNNEafve0pnTBWeF0XDtUFpBJBRCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:42.005840Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.07468","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0159541af1a1a51f1b5f59cfa41a705f3bc4ad2becc91c3c26b3a17eadd6bbe","sha256:d61d9771edd46f9fb431db4c97c6fb1447edfcaee1a2718eb6b41b3ad1b7dc17"],"state_sha256":"2c2e40a51f8981edbec524c8efb2dd034d85ee2aa011c379ecf2732492d68344"}