{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3GDPGY4RCEDPXIWTYKF5ZEF33D","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":"5c78e9517df62c9bdfbe03e8b377b9965898ddae570f07e4aab4f34f2e9bdfdf","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2015-09-12T14:16:48Z","title_canon_sha256":"884fbcb07d1c7cb14abfc5c52d6af96277fed40395b048939c39d63c1f986564"},"schema_version":"1.0","source":{"id":"1509.03748","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03748","created_at":"2026-05-18T00:36:48Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03748v2","created_at":"2026-05-18T00:36:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03748","created_at":"2026-05-18T00:36:48Z"},{"alias_kind":"pith_short_12","alias_value":"3GDPGY4RCEDP","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3GDPGY4RCEDPXIWT","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3GDPGY4R","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:15849cdc4974a57e6bffef84dbe3d3b278d9553d23a2c422ba75f791b2dfadd7","target":"graph","created_at":"2026-05-18T00:36:48Z","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 generalize the proof of the Farrell-Jones conjecture for CAT(0)-groups to a larger class of groups in particular also containing all hyperbolic groups. This way we give a unified proof for both classes of groups.","authors_text":"Daniel Kasprowski, Henrik Rueping","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2015-09-12T14:16:48Z","title":"The Farrell-Jones conjecture for hyperbolic and CAT(0)-groups revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03748","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":"sha256:5358ac14ef27b542b39457f19e4457b3bb09e8bb2a67cdfeee7bf35a6a2a5960","target":"record","created_at":"2026-05-18T00:36:48Z","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":"5c78e9517df62c9bdfbe03e8b377b9965898ddae570f07e4aab4f34f2e9bdfdf","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2015-09-12T14:16:48Z","title_canon_sha256":"884fbcb07d1c7cb14abfc5c52d6af96277fed40395b048939c39d63c1f986564"},"schema_version":"1.0","source":{"id":"1509.03748","kind":"arxiv","version":2}},"canonical_sha256":"d986f363911106fba2d3c28bdc90bbd8ca4493588a17b88323da0e5c7b3d40d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d986f363911106fba2d3c28bdc90bbd8ca4493588a17b88323da0e5c7b3d40d7","first_computed_at":"2026-05-18T00:36:48.120505Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:48.120505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1X57fAFqZnQ52KVysKt+2uDhAujct4ejRTSoNcxoekV0iRhW0EtM75xuP7MP0SiT1HhAMHPoUbyaaLhi0LFmDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:48.121074Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.03748","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5358ac14ef27b542b39457f19e4457b3bb09e8bb2a67cdfeee7bf35a6a2a5960","sha256:15849cdc4974a57e6bffef84dbe3d3b278d9553d23a2c422ba75f791b2dfadd7"],"state_sha256":"caac51e279589d57bf5a82bce8a24c0224efec96500e471d24b0f5d7b728ba12"}