{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:COJOF5HSBDVA3TMBSXABKCOAKS","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":"e51fa884819974c08f26a5f97a9063b640066800bfba552c026a0f46c8ff4b97","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-07-23T19:03:51Z","title_canon_sha256":"11040fc065875d6d9ad220df1d22c25a398c2fc91dcedb8e91a6329913122fff"},"schema_version":"1.0","source":{"id":"1807.08787","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.08787","created_at":"2026-05-18T00:09:57Z"},{"alias_kind":"arxiv_version","alias_value":"1807.08787v1","created_at":"2026-05-18T00:09:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.08787","created_at":"2026-05-18T00:09:57Z"},{"alias_kind":"pith_short_12","alias_value":"COJOF5HSBDVA","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"COJOF5HSBDVA3TMB","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"COJOF5HS","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:0f8c268379f545240db95879f3a338be973887193507a9c6921aeed00c566d98","target":"graph","created_at":"2026-05-18T00:09:57Z","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":"This is a survey of some aspects of the large-scale geometry of right-angled Coxeter groups. The emphasis is on recent results on their negative curvature properties, boundaries, and their quasi-isometry and commensurability classification.","authors_text":"Pallavi Dani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-07-23T19:03:51Z","title":"The large-scale geometry of right-angled Coxeter groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.08787","kind":"arxiv","version":1},"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":"sha256:14bd503428cc0f5aff5f03b3940937d97442e9ef6054c6768f2dad4166926127","target":"record","created_at":"2026-05-18T00:09:57Z","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":"e51fa884819974c08f26a5f97a9063b640066800bfba552c026a0f46c8ff4b97","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-07-23T19:03:51Z","title_canon_sha256":"11040fc065875d6d9ad220df1d22c25a398c2fc91dcedb8e91a6329913122fff"},"schema_version":"1.0","source":{"id":"1807.08787","kind":"arxiv","version":1}},"canonical_sha256":"1392e2f4f208ea0dcd8195c01509c0548f43eb894bd1c95f2744e38062185f93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1392e2f4f208ea0dcd8195c01509c0548f43eb894bd1c95f2744e38062185f93","first_computed_at":"2026-05-18T00:09:57.857588Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:57.857588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+MMpD1ZXsmzco1muBdZc8z5u6K83VV6j/rtN9pnrXpXkdFPpcQAE/gz+mPGEPJZtMIZjphAeGdNoxoB7l7vPBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:57.858292Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.08787","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14bd503428cc0f5aff5f03b3940937d97442e9ef6054c6768f2dad4166926127","sha256:0f8c268379f545240db95879f3a338be973887193507a9c6921aeed00c566d98"],"state_sha256":"efd202513ca388d2782e545d669f9ba910f8b996b2180c3c4d72cac354989217"}