{"as_of":"2026-08-18T01:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8371c5b78e4c7660d6105b1d7f92352d06024f5684e24f9048a58b8dd9222e2f","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T18:32:24.368180Z","state":"measured"},{"denominator":28,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":28,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2506.20161/citation-record","integrity":"/paper/2506.20161/integrity","json":"/paper/2506.20161/citation-record.json","paper":"/paper/2506.20161"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.261737Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.261737Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:cd627d024cbe9784cd75bd60d25912071771d05d5cd6ffd7bd57b651d090d8a7","observation_id":"a179d4cf-5e28-4d20-b16e-f4799bfe5678","resolution":{"observed_at":"2026-08-15T18:32:24.261737Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.682450Z","title":"Abbott and Jason F","venue":null,"work_id":"43f70dd7-e199-4b89-a797-8ac5ce5ed001","year":2024},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.266386Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:1276c3623aef00121fd2dda88ebb6b066b5141f944502b09907ad66bb70ca6a5","observation_id":"a90f992c-673e-4307-b33c-efbb47016d3e","resolution":{"observed_at":"2026-08-15T18:32:24.686386Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.671005Z","title":"London Math","venue":null,"work_id":"5c2d160b-7217-46a4-a7e9-84fb1ca23d66","year":1968},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.270181Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:e64850c6252b2694bb202fb90b2705e3c2371cc6781da5ec221f272a8f53ae8e","observation_id":"7f313d20-2450-4b52-9944-f22d6c774593","resolution":{"observed_at":"2026-08-15T18:32:24.674283Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.273922Z","title":"Differential Geom","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.273922Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:9d982c49ace6fa3129c2b07bf68839af125442249d1fd229502d9fa6bf8fd36c","observation_id":"5ecb15c2-80d5-48ba-bc25-762acd5df6cf","resolution":{"observed_at":"2026-08-15T18:32:24.273922Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.650420Z","title":"D ifferential G eom","venue":null,"work_id":"cccfbef4-229a-498e-bd4d-da89e82a36ec","year":1992},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.279115Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:137511fc019c8ccb1bbe184877e332b6136d57369ef13f7e7318850695f70fc1","observation_id":"8d63e331-a47c-4d0e-88c5-6f7b9583893e","resolution":{"observed_at":"2026-08-15T18:32:24.656484Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.282774Z","title":"Feighn, and Michael Handel, Laminations, trees, and irreducible automorphisms of free groups, Geom","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.282774Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:54cad46fe73e79827f5c0b65115a3752ab491ae982af2c0f49dea7340b7bb368","observation_id":"9906b311-bf99-4f17-8b39-99c90ae615cc","resolution":{"observed_at":"2026-08-15T18:32:24.282774Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.286728Z","title":"Bridson and Andr\\'e Haefliger, Metric spaces of non-positive curvature, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.286728Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:15dfb22ef3b4422c796f88ad60af391aa83d9eb29aad55a9ccf0b4dd8a2cd072","observation_id":"388e47a5-c57a-4146-9017-52886a28e02e","resolution":{"observed_at":"2026-08-15T18:32:24.286728Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.617085Z","title":null,"venue":null,"work_id":"c3dc5ef6-7dbd-411a-b952-8037df7f4d8c","year":2000},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.290030Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:ad4c2eb1f1df2756339ec79efd11c0290e47ec114bcada169c360a84a4ff81db","observation_id":"93bba3d0-bc96-41f7-9743-cd593e0434a2","resolution":{"observed_at":"2026-08-15T18:32:24.622025Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.293065Z","title":null,"venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.293065Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:76b041857e5c8520e6e6128642de027d183033499d5029f9e963d65a8ae07fc4","observation_id":"1feebb33-51c1-4f76-a1c7-1d9f4726fe9e","resolution":{"observed_at":"2026-08-15T18:32:24.293065Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.597219Z","title":null,"venue":null,"work_id":"7b27b351-57a2-4609-96a6-5685803071a6","year":1993},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.296611Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:3aa583bd363be8193e3620ed21dc7b0ad6aeb31f105fd875d56b7cd0e653e8bf","observation_id":"e2a6eeb8-4e1b-452c-90ae-d4147e394a81","resolution":{"observed_at":"2026-08-15T18:32:24.601095Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.585190Z","title":"Ramanujan Math","venue":null,"work_id":"ee8722e6-32b1-430d-8252-8330e436fbbf","year":2015},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.300103Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:960686c5c1141568561fdbdc96b41bbbaccface13d2c3fb2a1e592542f0d0e2b","observation_id":"3c75c9a6-97e6-45c2-82c8-9a6bb81c7ad3","resolution":{"observed_at":"2026-08-15T18:32:24.588759Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.303742Z","title":"Taylor, The co-surface graph and the geometry of hyperbolic free group extensions, J","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.303742Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:db1df3be9d6424343beffccff0923c8c8b3f4b4c9b0da54b0dcf990a04877111","observation_id":"7bc1c49b-6a49-432d-85f2-0b3bfc83564c","resolution":{"observed_at":"2026-08-15T18:32:24.303742Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.564385Z","title":null,"venue":null,"work_id":"8595bba8-c071-49f1-8bd7-1848784fba09","year":1998},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.309098Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:c419a76b2cc241b0b38d289bf8ad4a4fa995144e4ce7ec47446b71f733b6fe92","observation_id":"be3a6c69-841d-403a-a2a5-f054cf6eeadc","resolution":{"observed_at":"2026-08-15T18:32:24.568914Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.313047Z","title":"83, Birkh\\\" a user Boston, Inc., Boston, MA, 1990, Papers from the Swiss Seminar on Hyperbolic Groups held in Bern, 1988","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.313047Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:a2000a00babc637f31a2f3a2645944de9bf4543ff84044d0c3ff2209af671d4b","observation_id":"6f9e05e7-2c34-488c-8a05-6b9aee2f7d9b","resolution":{"observed_at":"2026-08-15T18:32:24.313047Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.543365Z","title":null,"venue":null,"work_id":"08a9f303-414a-4c79-9efd-a82d56075831","year":1998},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.316985Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:051167eeb529f04222491c4168243bdcd8595d16bc001d975e75bb7036aeb488","observation_id":"957d2239-1e0c-4695-ab14-572755305b9a","resolution":{"observed_at":"2026-08-15T18:32:24.547869Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.320863Z","title":"Gromov, Hyperbolic groups, Essays in group theory, Math","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.320863Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:88f8289f06c95118894db1597cc8c2af6aba4ca30d50d2558ceca97858180637","observation_id":"a546788d-9818-4673-a61f-39b606705180","resolution":{"observed_at":"2026-08-15T18:32:24.320863Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.17815","last_updated":"2026-08-01T09:19:49Z","snapshot_observed_at":"2026-08-17T19:12:33.900643Z","submitted_at":"2025-03-22T16:38:00Z","title":"Landing rays and ray Cannon-Thurston maps","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.17815","snapshot_observed_at":"2026-08-15T18:32:24.325688Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.325688Z"},"links":{"cited_paper":"/paper/2503.17815","citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:671d8f4f6a613808185c27c0f63f999fbe7c07e976827d7331264dea4097d20e","observation_id":"abe9e5b8-b33c-4467-85da-218e7bb65db7","resolution":{"observed_at":"2026-08-15T18:32:24.325688Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.523627Z","title":null,"venue":null,"work_id":"791ac884-b772-4efc-b203-7294efd37dae","year":1999},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.330059Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:7cd560b5a43d15aca2ab9b78f36bada108f17cac033f1944cc1b27b2c7f0707b","observation_id":"478d2ea3-50c8-47e2-aeca-2b29675ffb5a","resolution":{"observed_at":"2026-08-15T18:32:24.526978Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.333587Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.333587Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:07af5eb47508e7398111adb761e1b5d9a25dac1dbbc01dbf29b79a4612271be5","observation_id":"e7e76fcb-ea67-4268-b126-8aa39b428f88","resolution":{"observed_at":"2026-08-15T18:32:24.333587Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.337236Z","title":"282, American Mathematical Society, Providence, RI, [2024] 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.337236Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:99210af1618b3c9b5209d748a2d47a846f1eef31459bb9d36552950bd4d34bcd","observation_id":"eb59830b-3538-48a1-b3a7-dbaa67ea2289","resolution":{"observed_at":"2026-08-15T18:32:24.337236Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.340793Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.340793Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:41ee00ce1e1bcb2749ae424180b0d35d2a779c269edd28a6460dee5c1715f10c","observation_id":"80347856-6a06-4b49-a2bc-163878df04e3","resolution":{"observed_at":"2026-08-15T18:32:24.340793Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.343876Z","title":"Group Theory 17 (2014), no","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.343876Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:dc9981315c4bd08e07a130967c226228cf17ab8d2e6819991a4b88a03db2f694","observation_id":"300bfc83-fb62-4667-9c7a-0012932b6bb3","resolution":{"observed_at":"2026-08-15T18:32:24.343876Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.349208Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.349208Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:230ecf7a65d8c0a9cc8cde4c85fc98b5f97c18ddba6d6eed65b8f1d6d02bb266","observation_id":"81919f5e-ac3d-4ea6-97b9-5ded8aec4c63","resolution":{"observed_at":"2026-08-15T18:32:24.349208Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.462255Z","title":"Publ., River Edge, NJ, 1991, pp","venue":null,"work_id":"ac588be3-f08c-491e-b075-7eb8b481e951","year":1990},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.353729Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:f8321266d2348a4082ea1c0d177db4cc1bdd51e495d68fe3653868d7fd777428","observation_id":"936d0ddc-0032-4445-80d5-e7a32ce0fffe","resolution":{"observed_at":"2026-08-15T18:32:24.466323Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.449992Z","title":"Indian Acad","venue":null,"work_id":"8e1e5545-a6a2-4684-930f-26ceefebc3e1","year":2025},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.357795Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:aa6261fe37f996d4e7c7bfb2d82f67d7ad7bef88b1df082bbb7b9d459142fab3","observation_id":"dad42aaf-c210-4d4e-a89d-7d6decbb67a1","resolution":{"observed_at":"2026-08-15T18:32:24.453933Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.435803Z","title":"Stallings, On torsion-free groups with infinitely many ends, Ann","venue":null,"work_id":"39589d8e-7dda-48d5-b36b-38caec0c3b56","year":1968},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.361348Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:ffa9b660759dc255ce369436a9352862328df75de81ef99ff317ee2efd87096e","observation_id":"6459a95a-16cb-4b26-8ddb-8b4a99f7c0c6","resolution":{"observed_at":"2026-08-15T18:32:24.441062Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.420894Z","title":"Wise, The residual finiteness of positive one-relator groups, Comment","venue":null,"work_id":"bba7e95e-3e9a-4a29-b5b5-703351d0dfd4","year":2001},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.364902Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:5a95a90a2d0ee1bc04c45f45fcad9f6e15ad01096b68da5db0daaf92be2f4757","observation_id":"65762a4f-282e-4383-ac60-509235beb993","resolution":{"observed_at":"2026-08-15T18:32:24.425090Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:32:24.409279Z","title":"London Math","venue":null,"work_id":"2b0c956b-d424-484a-8123-57ab73c13d63","year":2002},"citing_paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-15T18:32:24.368180Z"},"links":{"citing_paper":"/paper/2506.20161"},"observation_digest":"sha256:cc5fc1d37ea6417f92b98f7acfbcb6e0b2a904995393d871fb7327672a461103","observation_id":"21373810-1c57-4669-aead-35a749a6aa74","resolution":{"observed_at":"2026-08-15T18:32:24.413504Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.20161","last_updated":"2025-06-25T06:29:57Z","latest_version":1,"primary_category":"math.GR","snapshot_observed_at":"2026-08-17T23:25:23.190710Z","submitted_at":"2025-06-25T06:29:57Z","title":"On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":19,"verified_exact":0,"verified_fuzzy":9},"total_outbound_references":28},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2506.20161."}