{"as_of":"2026-08-10T14:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:43b58c5a112f1c43884166133379c4f85ce79294ee88cfed0b73e91fd8009f19","coverage":[{"denominator":32,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":32,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T03:56:45.319387Z","state":"measured"},{"denominator":32,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":32,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+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/2607.13760/citation-record","integrity":"/paper/2607.13760/integrity","json":"/paper/2607.13760/citation-record.json","paper":"/paper/2607.13760"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T03:56:42.879729Z","title":"Floyd maps for relatively hyperbolic groups , url =","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:42.879729Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:7cdf8036d3dc82438af61c2c53c84cc851a5f261a63676c009f2b1c7a5985e76","observation_id":"e96fb611-fd2a-49d8-b352-517e1a12cc06","resolution":{"observed_at":"2026-08-02T03:56:42.879729Z","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":"10.4171/ggd/447","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":", TITLE =","venue":"Groups Geometry and Dynamics","work_id":"cfc565dc-4661-458e-a666-8caec76486c9","year":2018},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:42.906013Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:d0b45a75dd6d357894ed35921e6be3ad2ef92627f6fc6359db4343c3ef9ce861","observation_id":"fd3d4d9c-be5e-4619-84db-e241077c9264","resolution":{"observed_at":"2026-08-02T03:58:26.600750Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-02T03:56:42.945538Z","title":"Preprint , Year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:42.945538Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:9f86d794a3f3e5e0e4a280611c67276c0992d7483de5d8cb5d0732c20d891e02","observation_id":"77dbb0b4-516c-4b92-8de6-240b38ab90e7","resolution":{"observed_at":"2026-08-02T03:56:42.945538Z","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":"2026-08-02T03:56:43.004075Z","title":", TITLE =","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:43.004075Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:eef33af086fad54a9a3aed4649eefc9535a3dedccb7f14fe0b5d4ed495b2bdd7","observation_id":"bba2cd96-66d2-40a7-aa7f-1e6f057be0c4","resolution":{"observed_at":"2026-08-02T03:56:43.004075Z","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":"2026-08-02T03:56:43.042480Z","title":"and Sambarino, A","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:43.042480Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:bd8932e70bfaba4f90127fd71742674cd5d07ebee45cc5f51dfb0f95dfe53115","observation_id":"e900e3df-851f-439d-8572-583a9629a75e","resolution":{"observed_at":"2026-08-02T03:56:43.042480Z","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":"2026-08-02T03:56:43.088416Z","title":"and Canary, R","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:43.088416Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:7cc111522c2db2b2939130010896d5711030921e80167837cd664de3ad037bc4","observation_id":"3c31a52b-2e86-4087-9ae7-bc05a78f9fcc","resolution":{"observed_at":"2026-08-02T03:56:43.088416Z","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":"2026-08-02T03:56:43.136096Z","title":"Dongryul and Oh, Hee and Pan, Wenyu , Title =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:43.136096Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:a0c2a5d2e864ca6d456cc8d655f643b58a63e62cc244236288d6af3204c13f0f","observation_id":"baed915d-e53e-49ab-8c84-d8c3afc68e46","resolution":{"observed_at":"2026-08-02T03:56:43.136096Z","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":"2026-08-02T03:56:43.171728Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:43.171728Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:051135e312ee5009a96ee9aef8be9007ed9e32efaa70ae878b6e7b6ecfe6e404","observation_id":"d0882eaa-5620-44d3-abfe-28d2a454b35a","resolution":{"observed_at":"2026-08-02T03:56:43.171728Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.09713","last_updated":"2024-08-05T12:47:55Z","snapshot_observed_at":"2026-08-04T07:31:07.750688Z","submitted_at":"2024-04-15T12:16:20Z","title":"Patterson-Sullivan theory for coarse cocycles","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.09713","snapshot_observed_at":"2026-08-02T03:56:43.218851Z","title":"arXiv , author =:2404.09713 , journal =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:43.218851Z"},"links":{"cited_paper":"/paper/2404.09713","citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:5fda71798594411c708a89da6838c374ae61393da9b439ea721aaf7b445566d8","observation_id":"4daf5ed2-6afd-4a4a-9244-2029f584360a","resolution":{"observed_at":"2026-08-02T03:56:43.218851Z","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":"2026-08-02T03:56:43.270613Z","title":", TITLE =","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:43.270613Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:6c3d556c590edee40f3242a3137da2ce89175994247bf87df30f842cf5d8005c","observation_id":"c05b94f3-1de0-4b63-9057-e7423400f237","resolution":{"observed_at":"2026-08-02T03:56:43.270613Z","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":"2603.28693","doi":"10.48550/arxiv.2603.28693","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"arXiv e-prints , keywords =","venue":"arXiv (Cornell University)","work_id":"3a9e6983-4f4e-4e68-ac2c-8601f6299913","year":null},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:43.371797Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:5b6b53a2a8d18776ce4126568db817182ea8de706ba1301414256c1c8f73a00d","observation_id":"6da73b9b-2a3a-4a77-9007-a8e42d91506e","resolution":{"observed_at":"2026-08-02T03:58:26.491879Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2140/gt.2025.29.1851","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Geometry & Topology","work_id":"ccfaf9f6-d0b1-42af-bf6a-5e20a85c8f94","year":2025},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:43.462321Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:17ef5c89c75b694a7cc075756f17220acc2244a658cb8da0faef09d855e25b32","observation_id":"7b18ee5c-fa34-4b55-b95d-f1e0611dd7f3","resolution":{"observed_at":"2026-08-02T03:58:26.387617Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.5802/aif.3167","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Annales de l’institut Fourier","work_id":"278fc601-7c24-4111-b4e7-3dd6125dfb47","year":2018},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:43.541488Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:dce0bc4137af97832bba4590e019dd8834c90064bd7d7bec1d11d7d6e136c383","observation_id":"58676a9c-60fe-4e9d-abd8-59249d47927e","resolution":{"observed_at":"2026-08-02T03:58:26.338140Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00208-025-03292-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Oh, Hee and Wang, Yahui , TITLE =","venue":"Mathematische Annalen","work_id":"0ccc8fff-431c-450a-9f60-940d6f6d5f7a","year":2025},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:43.592997Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:67d7f19026ef1761ba15986fc9290ab497e6db97532ae9ba0dce75637af38d25","observation_id":"74783ed0-5609-4eaf-9e8b-6be5a0474a9d","resolution":{"observed_at":"2026-08-02T03:58:26.183138Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1155/s1073792893000236","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Internat","venue":"International Mathematics Research Notices","work_id":"fa801d2b-4ff5-4672-9a40-acde1e6a32db","year":1993},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:43.640216Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:1d0a1462e591cf77fb07a20b0d760128f443725622fc8da0f4458ed7e1008f4f","observation_id":"62bbf18e-206b-4645-9196-88e14d8a1243","resolution":{"observed_at":"2026-08-02T03:58:26.085678Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1017/s0143385702001268","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"L'indicateur de croissance des groupes de","venue":"Ergodic Theory and Dynamical Systems","work_id":"f6bed80e-4f74-4947-813a-446cd9a4b87c","year":2003},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:43.700055Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:dc4cffaca478c6cb57e5e07356eb62eed04498f3311b4c000c4c257e5127ef65","observation_id":"ccdd3726-5b7f-49e2-ba92-a5abd71f9d55","resolution":{"observed_at":"2026-08-02T03:58:25.934344Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00014-002-8352-0","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Divergence exponentielle des sous-groupes discrets en rang sup\\'erieur , JOURNAL =","venue":"Commentarii Mathematici Helvetici","work_id":"61d4fd14-f4d2-4bb3-b1f9-b9cb17c984cf","year":2002},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:43.764630Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:755b9e52fb30893256472a330347e05dfaea0d59a676ee6c61f1b5c9c1a7211a","observation_id":"2a86d6ce-4973-45e8-be23-6f36bf2636ad","resolution":{"observed_at":"2026-08-02T03:58:25.840568Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00208-025-03137-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Mathematische Annalen","work_id":"e1d47586-70b3-4499-ae52-68c6c82d0b38","year":2025},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:43.828926Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:53e2cf7c6312709806ad12ebb555f52f9b9d70a7d8a1ebfdb72dc256a9ebdfb4","observation_id":"144ba41e-2711-4dca-83fe-6250faf8ff2f","resolution":{"observed_at":"2026-08-02T03:58:25.726787Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-02T03:56:43.890183Z","title":", TITLE =","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:43.890183Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:58add551d57e6bbcd78f8322b4900fe7a3b8940e6f123205a359e1ecc14da1a8","observation_id":"49b96189-6e34-4f5f-9995-bb37f222d485","resolution":{"observed_at":"2026-08-02T03:56:43.890183Z","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":"2026-08-02T03:56:43.992078Z","title":"Ergodic Theory Dynam","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:43.992078Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:05d29a40482d217e733d1a1d1916cadb42335695c5ea18620adb918d969ee884","observation_id":"eb149c36-ea4f-4d5e-9388-8f7e17c55dce","resolution":{"observed_at":"2026-08-02T03:56:43.992078Z","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":"2026-08-02T03:56:44.075260Z","title":"Relatively","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:44.075260Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:d1ee3b6c4d1de219b2898322762fbef6562ff19a506d8340fcde31a00b93985a","observation_id":"4e17724f-566c-4b18-9f6a-02b8e8749c34","resolution":{"observed_at":"2026-08-02T03:56:44.075260Z","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":"10.1515/crelle-2025-0040","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Oh, Hee , TITLE =","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","work_id":"d2e855de-fea6-492f-9342-313014d417d0","year":2025},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:44.210201Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:61f949930aead841272e634636efb43ca53060bfbf78c15b6ab8ce57c5e18b5e","observation_id":"867e9a3c-0ad9-4cf4-be7e-872ad09cc585","resolution":{"observed_at":"2026-08-02T03:58:25.611761Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-02T03:56:44.346335Z","title":"Convex cocompact actions in real projective geometry , JOURNAL =","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:44.346335Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:199881789de55c10a14ff7707558c7e192b5d23e201cc64d88f63a36624a2cbd","observation_id":"ab0bb186-51e6-4983-ae42-677c1bd88c88","resolution":{"observed_at":"2026-08-02T03:56:44.346335Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.09718","last_updated":"2024-08-22T15:58:06Z","snapshot_observed_at":"2026-08-09T20:58:45.240052Z","submitted_at":"2024-04-15T12:21:07Z","title":"Counting, mixing and equidistribution for GPS systems with applications to relatively Anosov groups","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.09718","snapshot_observed_at":"2026-08-02T03:56:44.466323Z","title":"arXiv e-prints , keywords =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:44.466323Z"},"links":{"cited_paper":"/paper/2404.09718","citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:081b346ca82abd7943e742c1836174f1a97057ec6dd5d5e9c733bfeab84e3658","observation_id":"3ee335a3-ee94-4b34-b50a-ebff9c35bc18","resolution":{"observed_at":"2026-08-02T03:56:44.466323Z","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":"2026-08-02T03:56:44.587469Z","title":", TITLE =","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:44.587469Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:200e93e755e8ec3fdc046ac549188a085eaab772ce6660048e569f896f1c35a0","observation_id":"a9dba7b0-b8b1-48c8-97f5-76037d5aa794","resolution":{"observed_at":"2026-08-02T03:56:44.587469Z","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":"10.3934/jmd.2024009","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Journal of Modern Dynamics","work_id":"749cc0eb-499a-4098-a37b-ecd43d305723","year":2024},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:44.751833Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:de89a1dc2eab8270ac8159a8236e63c4774cb0277d58a96b6d363f15de686042","observation_id":"b22d5edd-73d9-402f-9115-bf5d231c568d","resolution":{"observed_at":"2026-08-02T03:58:25.438556Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-03T15:08:26.465922+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-03T15:08:26.465922+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-02T03:56:44.828382Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:44.828382Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:23d9578f0f48a4268feb8558cc40dc4bb85a1a2b0419a1818d89aea784c66f18","observation_id":"ef620e53-95fc-4103-94f4-fade66c71235","resolution":{"observed_at":"2026-08-02T03:56:44.828382Z","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":"2026-08-02T03:56:44.956401Z","title":"Duke Math","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:44.956401Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:e58aa3a14e39318588b3b7feb49c2d8e2bcd1cc9e71c9a0c879ee03119502ae0","observation_id":"5cba10b3-e829-4ff6-87b9-6d1fbc4ae11c","resolution":{"observed_at":"2026-08-02T03:56:44.956401Z","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":"10.1112/jlms/jdq091","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Manoussos, A","venue":"Journal of the London Mathematical Society","work_id":"ad9fcef8-6087-4f48-845a-0de7a5f829a8","year":2011},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:45.037351Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:7dc5b9b9b600ce7510a489f835ae7034928f45167f87fe281d58fa47b5736af4","observation_id":"32cb782b-663d-4ec4-8842-b722840e74bd","resolution":{"observed_at":"2026-08-02T03:58:25.292387Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2604.03982","last_updated":"2026-04-05T06:05:25Z","snapshot_observed_at":"2026-08-07T17:42:45.699502Z","submitted_at":"2026-04-05T06:05:25Z","title":"Finiteness of Bowen-Margulis-Sullivan Measure for Gromov-Patterson-Sullivan Systems","version":1},"cited_work":{"arxiv_id":"2604.03982","doi":"10.48550/arxiv.2604.03982","metadata_source":"pith","pith_arxiv_id":"2604.03982","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Finiteness of Bowen-Margulis-Sullivan Measure for Gromov-Patterson-Sullivan Systems","venue":"math.DS","work_id":"8aff3c65-adc0-49d2-aed0-7e9b0f3ca0e0","year":2026},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:45.109557Z"},"links":{"cited_paper":"/paper/2604.03982","citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:34037d372ba32b76a2e8fe486237d3ec491591fa829994e713eaf7efa79b514b","observation_id":"0097ce7b-4a26-4aaf-89c9-eccf93d5bd77","resolution":{"observed_at":"2026-08-02T03:58:25.212260Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/topo.70064","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Journal of Topology","work_id":"be66cc20-aad5-4c85-9ff8-5d847c5eef2a","year":2026},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:45.198915Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:08fbafcc0ef93d936488d889a99bcf450f70859c0f0c3d011cb98c17a9e3b285","observation_id":"76b6d48e-c9f0-4bef-9cf6-a29cd9830cda","resolution":{"observed_at":"2026-08-02T03:58:25.057807Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-02T03:56:45.319387Z","title":"Algebraic groups and arithmetic , PAGES =","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-02T03:56:45.319387Z"},"links":{"citing_paper":"/paper/2607.13760"},"observation_digest":"sha256:c541dd567594c8ff036648fd221e1c9566debeb4a34f644a6e3111a3267089e3","observation_id":"4352222e-1f6f-4ce2-928f-6f1b429bfc27","resolution":{"observed_at":"2026-08-02T03:56:45.319387Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.13760","last_updated":"2026-07-15T12:21:23Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-08T03:48:43.079466Z","submitted_at":"2026-07-15T12:21:23Z","title":"Strict concavity of the growth indicator function for relatively Anosov groups"},"reference_resolution":{"displayed":32,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":18,"verified_exact":13,"verified_fuzzy":0},"total_outbound_references":32},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2607.13760."}