{"as_of":"2026-08-12T03:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:06993e038f1b34b1bf2de3ddf92748c49ed798806c658c5fffd1273ac264c9ee","coverage":[{"denominator":47,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":47,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T06:01:05.316367Z","state":"measured"},{"denominator":48,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":48,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-15T09:06:04.600298Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-15T09:09:53.390791Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"cited_work":{"arxiv_id":"2508.01347","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.01347","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"7592a6a1-f84a-4e2a-a1fd-0b93566986f3","year":2025},"citing_paper":{"arxiv_id":"2603.18456","last_updated":"2026-04-17T10:36:41Z","snapshot_observed_at":"2026-08-06T06:08:25.574046Z","submitted_at":"2026-03-19T03:36:15Z","title":"The Local Lifting Property, Property FD, and stability of approximate representations","version":2},"reference_index":129,"source":"pdf_text","source_observed_at":"2026-05-15T09:06:04.600298Z"},"links":{"cited_paper":"/paper/2508.01347","citing_paper":"/paper/2603.18456"},"observation_digest":"sha256:5d5c967f09c6b61e396e4b688599e5ef0b62a9acb9a79860b4ca1c4b4afdc010","observation_id":"2d95451e-f37b-49ef-b364-c2241c97a10d","resolution":{"observed_at":"2026-05-15T09:09:53.393207Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2508.01347/citation-record","integrity":"/paper/2508.01347/integrity","json":"/paper/2508.01347/citation-record.json","paper":"/paper/2508.01347"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T06:01:21.090013Z","title":"write newline","venue":null,"work_id":"59c4a48e-a9b3-4179-90b8-d4a418b7d9b3","year":null},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.108030Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:7130f52c20fbebe4cb97df6a801347b90c3a16f5c7a4146a6bd7fa852ee2d356","observation_id":"1151e996-68c1-40ff-bf90-f712a798bb8a","resolution":{"observed_at":"2026-08-06T06:01:21.094576Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:21.075369Z","title":"Ab\\'ert, N","venue":null,"work_id":"9e265db7-01ea-4cc7-954c-b74166da76c7","year":2025},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.114222Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:f342b84f9f5bfb061a3dcb8cd212738cde163210c6ebee5414b75732931a54a9","observation_id":"976e8174-ad0b-4877-b4ad-090e31c0fa3c","resolution":{"observed_at":"2026-08-06T06:01:21.079752Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:21.060988Z","title":"Agol, Virtual properties of 3-manifolds, Proceedings of the I nternational C ongress of M athematicians--- S eoul 2014","venue":null,"work_id":"427e2c96-4d29-48b1-80b8-5869542bd67f","year":2014},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.119291Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:2131e1bf513aa31fd8a4909dbcbd2c23255aec10e14ef0e841eac77cc0ff49ce","observation_id":"ff8aa4a3-b020-4290-a06c-8a844862fda2","resolution":{"observed_at":"2026-08-06T06:01:21.065540Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:21.046628Z","title":"Ab\\'ert and N","venue":null,"work_id":"eb7624e8-64f8-43da-a5ab-c5bf6e0153b8","year":2012},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.124086Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:74f509f4672ca5b6ca3c05c93b71df95df848522976b4a521af27a6392fddc45","observation_id":"08ac9e6f-b86f-4963-8719-f52ce1aeaa2d","resolution":{"observed_at":"2026-08-06T06:01:21.050984Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:21.031968Z","title":"Ab \\'e rt and B","venue":null,"work_id":"0093c922-d727-470b-88c8-35a511796b1a","year":2013},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.129388Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:aeadd42c9a0c1cca59b13b06d3077001cb7ad3f67f0ac09395d1b00b1a45cf7b","observation_id":"5c229b08-a28f-49e1-b1ce-040e2edb9f56","resolution":{"observed_at":"2026-08-06T06:01:21.036462Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:21.017327Z","title":null,"venue":null,"work_id":"1929ac0f-23c2-4b53-97ee-7326e79c4da9","year":2020},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.134022Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:f91fe2cfd374fcd4298a7d513e01f888a21ffc600f31fa5ace8f3eeb707da6cc","observation_id":"677c0590-b8c7-4638-ba9f-8404b836474d","resolution":{"observed_at":"2026-08-06T06:01:21.021778Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:21.002461Z","title":null,"venue":null,"work_id":"563788a6-18d6-4dfd-a5c6-f5d0aee37683","year":2000},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.138484Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:0c1e534994ad15b19fda881b1ce11650cf354d131a4456405d90cce6e1fb36f3","observation_id":"95e9114d-e9c6-425e-88c9-69eb0a9fb2d3","resolution":{"observed_at":"2026-08-06T06:01:21.006812Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.987938Z","title":"Braun and R","venue":null,"work_id":"9bc9e4e2-da15-4d75-abde-045dbf9c1f3a","year":2021},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.143673Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:f1db793a4a751abed0b11fb644532c9fdd27bd4cb6058a425c7c278e8c6190b7","observation_id":"e7da2b90-9f34-4f23-9d14-20b599fb6b3c","resolution":{"observed_at":"2026-08-06T06:01:20.992175Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.973110Z","title":"Bowen and R","venue":null,"work_id":"27f8411a-4641-41ec-a4bd-40b4a4fcd0b6","year":2013},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.148492Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:7a002d9dbde6337be9596737a4ed575e01f8e7ca3fd1f2a5f73db1f534352634","observation_id":"460bc635-9b97-4e0f-8dc1-9f678f0a8928","resolution":{"observed_at":"2026-08-06T06:01:20.977815Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.958575Z","title":"Bergeron and A","venue":null,"work_id":"96ef0e83-d051-4312-9922-6eb749f2d69f","year":2013},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.152984Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:a9a3bfbc98b9446ec71b7a78fd2b6196662ae83dfa181b9228fb3eae48e0ee90","observation_id":"8dd6c705-dfb9-4846-bc9c-08bf87078f6d","resolution":{"observed_at":"2026-08-06T06:01:20.963070Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.943491Z","title":"Cheeger and M","venue":null,"work_id":"44f9154c-ca7b-4c86-8128-4c09d02b76c6","year":1986},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.157332Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:944b091a6c9711e82200c0005ffbe23d649cd32d0d1936a95e32b9974a517e4e","observation_id":"9f140997-f207-4bbd-9f31-333d0aa10759","resolution":{"observed_at":"2026-08-06T06:01:20.948662Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.929694Z","title":null,"venue":null,"work_id":"b375d72a-b4e7-40a0-8c69-3ac243dd677c","year":2018},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.161803Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:f012d661c8bc526dbf42357e3ff79bfea776c20a78f703be0208851ddf2d3d66","observation_id":"4b3a223e-a0d6-4626-8b9a-9b094259931b","resolution":{"observed_at":"2026-08-06T06:01:20.933817Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.915529Z","title":"Fauser, C","venue":null,"work_id":"7fc24439-ba20-4d99-888b-32dbb170f4c5","year":2021},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.166484Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:5b32d22aec29bee952a19ae7f046c3381a87be0bfaa1be210215d259e54d99da","observation_id":"9ba2f45c-d451-42c9-a9d5-efde9c092f95","resolution":{"observed_at":"2026-08-06T06:01:20.919739Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.901177Z","title":"Frigerio, C","venue":null,"work_id":"a8329ea3-737d-4205-8b91-1e18fd59c514","year":2016},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.170588Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:12da12f17cd9b517fd24f4d9a4102d08c2ab6525a8bf788f352e0bb3d71072fb","observation_id":"150e8262-9810-467e-b438-11697979c2ff","resolution":{"observed_at":"2026-08-06T06:01:20.905280Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2307.01194","last_updated":"2023-07-03T17:55:00Z","snapshot_observed_at":"2026-08-10T20:05:22.796675Z","submitted_at":"2023-07-03T17:55:00Z","title":"Poisson-Voronoi tessellations and fixed price in higher rank","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.01194","snapshot_observed_at":"2026-08-06T06:01:05.174690Z","title":"Fr a czyk, S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.174690Z"},"links":{"cited_paper":"/paper/2307.01194","citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:7b930d924ebbc4788a3ec48a2fc49bd2ab3c101968883320f664b4e2a299c9b0","observation_id":"694f9efe-4e7d-4541-81ff-405d832c8e4e","resolution":{"observed_at":"2026-08-06T06:01:05.174690Z","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":"2026-08-06T06:01:20.887291Z","title":"Furman, Orbit equivalence rigidity, Ann","venue":null,"work_id":"682d43a7-17a2-495c-9f93-06460bbc1973","year":1999},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.179753Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:b5135e7f79d0cdfdb3573e1a1e0fe050d5dc42e16083f476adbb270cc821e222","observation_id":"2a14bd07-d132-4012-a2e2-5ed2481bba40","resolution":{"observed_at":"2026-08-06T06:01:20.891563Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.871822Z","title":"Gaboriau, Co \\^u t des relations d' \\'e quivalence et des groupes , Invent.\\ Math","venue":null,"work_id":"7f49e2f7-57f3-4d09-86dd-b9f2a72874bf","year":2000},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.184270Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:9cfa84b4ff758e3fb0a5fd98663bbcd8a7ef094aec4235755cb6d52f7fe1b9c7","observation_id":"0f1826a0-8162-4f9f-ad43-f23f7d0cc4c1","resolution":{"observed_at":"2026-08-06T06:01:20.876622Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.856181Z","title":"(2002), no","venue":null,"work_id":"38a8c1d4-55b9-4d89-897e-968cd84c990f","year":2002},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.188458Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:162e79629c52d96981a3cc7c00e18cf70bde475dfd4aec252c6c8825d738f2d8","observation_id":"93376227-3c5d-4f97-9ed6-0f7a71dd7fa4","resolution":{"observed_at":"2026-08-06T06:01:20.860823Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.841993Z","title":"167--186","venue":null,"work_id":"604ede9d-914d-4b6a-87e9-965790596d09","year":2000},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.192574Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:d25f4e3be985e1163b8a94178b0b876c4847243cc60d0bb7769a0a201dda6339","observation_id":"010808c6-5023-4e08-975d-869d141a8811","resolution":{"observed_at":"2026-08-06T06:01:20.846376Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.827770Z","title":null,"venue":null,"work_id":"1bb1734b-d71b-4762-a337-c8fc89f3ae66","year":2010},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.197271Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:eef2d2fac835c083422c9da3e5f589ec33a905979b6eaf2fa1b50d00061e60d8","observation_id":"45fd2cff-e8f1-4f3d-b7ee-cd38b9544085","resolution":{"observed_at":"2026-08-06T06:01:20.832150Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.812409Z","title":null,"venue":null,"work_id":"e320d0dc-7a97-478a-b2e4-530eef88c4ce","year":2012},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.201706Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:b231e4a54ce7d08c740d081e91846642f73900d10bbb554c663528b7719f6878","observation_id":"b2937a3e-12cd-416e-8d6a-7975c01bba57","resolution":{"observed_at":"2026-08-06T06:01:20.816430Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.798440Z","title":null,"venue":null,"work_id":"46609db6-63be-4a93-9875-4dde38c96948","year":2017},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.206706Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:e32bd73aa0a5fd9afc1f52f2f1fafebd6b276aed738bd5ab5e6e3382bf553611","observation_id":"9a2645e1-a483-4c94-b892-442cfb8780c4","resolution":{"observed_at":"2026-08-06T06:01:20.802773Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.784325Z","title":null,"venue":null,"work_id":"f5b931fd-dd29-4704-8a7a-0c315c87bc76","year":2004},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.211431Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:dbff6f3bd9d0272c4d5f65068150424768d4c12efd7e9b87c645674636017521","observation_id":"1edc792b-a79d-4a0e-b6e7-7739d424e650","resolution":{"observed_at":"2026-08-06T06:01:20.788380Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.770289Z","title":null,"venue":null,"work_id":"a9de0981-f814-4b18-9219-e426505df905","year":2018},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.215851Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:9b1def164495c2617e4098b3a646677bf86ad09b9e662b0f339514cc05e03e6f","observation_id":"3c3e0c26-9b48-4f3e-b057-7652fded252c","resolution":{"observed_at":"2026-08-06T06:01:20.774625Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.756366Z","title":"Levitt, On the cost of generating an equivalence relation, Ergodic Theory Dynam.\\ Systems 15 (1995), no","venue":null,"work_id":"5f6df728-e969-4e71-a351-6dde507c0b88","year":1995},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.220117Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:91f54a8983c79338159c240cc7ef6a39f10dbdec38066823de9410ca8749b608","observation_id":"cd504b11-fde6-4f64-aa0e-6fa1f31c01f2","resolution":{"observed_at":"2026-08-06T06:01:20.760659Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:05.224724Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.224724Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:26fc4b6ad876435245e2c9e01daee2f9f38ebae99413f5b137226499a1f205b5","observation_id":"4152dd35-c6ef-4198-a78e-db2a24bf8df1","resolution":{"observed_at":"2026-08-06T06:01:05.224724Z","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":"2026-08-06T06:01:20.742344Z","title":"Linnell, W","venue":null,"work_id":"6e25027c-437b-4efb-b368-4fd54480ad4a","year":2011},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.229147Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:cff533ce22fda9baed17638977a6d3713c9e8d186e46421d05ad1610b481e421","observation_id":"0aeac5e7-50b7-4bda-872e-efaa69ff1d2b","resolution":{"observed_at":"2026-08-06T06:01:20.746437Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.728747Z","title":"L \\\"u ck and T","venue":null,"work_id":"123d4b84-0b89-4cf6-9244-3a8efb90054e","year":2024},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.234056Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:f863512b36eceecaf4da6bc86d796f5185e9bc66ca9ac7ac703ce5e90f49e1af","observation_id":"25d0c0a3-a060-4b46-8293-2d2e6ca0d98c","resolution":{"observed_at":"2026-08-06T06:01:20.732782Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.714661Z","title":"L \\\"o h, M","venue":null,"work_id":"31a3bbba-b7d9-4191-b2e5-1234fbc08694","year":2022},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.238649Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:165c56cde1b238e81f991c8bf1df932e6c72adda04df588ccdedc5bdc48abb72","observation_id":"dea34a36-9c58-46c5-a179-1be2a21f4d06","resolution":{"observed_at":"2026-08-06T06:01:20.719295Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.701075Z","title":"L \\\"o h, Cost vs.\\ integral foliated simplicial volume, Groups Geom.\\ Dyn","venue":null,"work_id":"e2083ed8-b8b4-4e63-811a-737f8e8bad89","year":2020},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.242947Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:3f241432ab32ad3c62a882dc2723ee989eec0494192251257e64b432fbef2bbb","observation_id":"429bfacf-3876-4496-933a-9a0ba54c3cac","resolution":{"observed_at":"2026-08-06T06:01:20.705299Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.686861Z","title":null,"venue":null,"work_id":"d5451d23-2d1a-417c-8e54-4b47693b154f","year":2020},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.247321Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:7c3462e841a7e97c5dfbd8685bf57ebad687810a7f0b472bdc72514fae3ad615","observation_id":"61460064-5e57-4658-9d03-e100d21000e1","resolution":{"observed_at":"2026-08-06T06:01:20.691234Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.672420Z","title":"L \\\"o h and C","venue":null,"work_id":"91e74986-9a11-453c-b894-e5c9ed21fa6f","year":2016},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.251532Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:afc3f5271378b569886676151fe6af70297029d032c0249103d441868a666ff4","observation_id":"a1ef2d0d-4b94-42b2-9d65-fea6226010e8","resolution":{"observed_at":"2026-08-06T06:01:20.676888Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.657609Z","title":"L\\\"oh and G","venue":null,"work_id":"60eade9d-412e-43ea-8fb7-2e47c8f38465","year":2024},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.255798Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:103f36c2b841c4eb5b8239c71a27ab3c4f62ce9b60c298d3a78f601ab43283f9","observation_id":"8f4b7ea2-2e03-4c3a-b7cf-29474a4667a9","resolution":{"observed_at":"2026-08-06T06:01:20.662426Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.642660Z","title":"L\\\"uck , R","venue":null,"work_id":"e99650c2-da40-4629-8340-76133ab90967","year":2010},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.260494Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:23840378f7cc07e42c3b4e2d381fb3e8f3ab899d22b8934ee19d091644afaadb","observation_id":"76777878-46ce-4e2b-be3e-6bc03486f187","resolution":{"observed_at":"2026-08-06T06:01:20.647783Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.627878Z","title":"L \\\"u ck, Approximating L^2 -invariants by their finite-dimensional analogues , Geom.\\ Funct.\\ Anal","venue":null,"work_id":"2ba99824-f8dd-404a-9198-a560b3ba6663","year":1994},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.264618Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:a4df0d7984608b1712dac9ca4451136ba8724a9f55945c894caa207964726cf0","observation_id":"1e94aa5c-d020-4d02-89db-b2480bda0861","resolution":{"observed_at":"2026-08-06T06:01:20.632480Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.613033Z","title":null,"venue":null,"work_id":"76a39585-a87d-48f9-bf73-68e62742685d","year":2013},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.269129Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:75c9c8305c5d3f477855027e07838a72ce51fe83aae4ea6c30b18c62aabeb2aa","observation_id":"5496acb8-ef1f-431e-94ba-89708d0649e4","resolution":{"observed_at":"2026-08-06T06:01:20.617676Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.598162Z","title":null,"venue":null,"work_id":"2dfae360-11a2-41e0-bd36-1218507e373d","year":1980},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.273269Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:6eb724afbf91adb7746204e76bb47f8630ea637404acf16bfd9cfbbb0079ab76","observation_id":"4e7c0d6b-7a7d-4d28-9cc5-b9e148635e2e","resolution":{"observed_at":"2026-08-06T06:01:20.602618Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.583356Z","title":"a lische Wilhelms-Universit\\","venue":null,"work_id":"da54d0cb-8e09-4352-9399-85bbda3e44a0","year":2003},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.277525Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:400a216fcaabef28e15ee2dfe4df73e637de0a679dfa408bfaf9255563a8a759","observation_id":"79b22d6d-9d17-4f28-9f59-04349e24cb61","resolution":{"observed_at":"2026-08-06T06:01:20.587619Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.568928Z","title":"Algebra Comput","venue":null,"work_id":"a0e31f32-9be8-41ff-a19e-9a1ed4581512","year":2005},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.281757Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:9e3992e47b0a78aca2d3deccd73d3828c340221963a5a2fda0924580b0defd83","observation_id":"1504ae69-169f-44b8-b5ad-441c04a4836c","resolution":{"observed_at":"2026-08-06T06:01:20.573414Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.552621Z","title":"16 (2006), no","venue":null,"work_id":"7382919a-f171-432f-88e2-7a0f11490608","year":2006},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.286317Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:32f7d23a107fac3f450ea3c551e4aed6a9d66d55bedb7d35fd68eea76e69d4ee","observation_id":"2be04c07-2ec8-43db-a100-a312a7e801af","resolution":{"observed_at":"2026-08-06T06:01:20.557278Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.537781Z","title":"Reine Angew.\\ Math","venue":null,"work_id":"e6d49361-7884-4b79-91a7-d149fd08cbcb","year":2009},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.290817Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:e000826bcd6d54af3dc75a4aa57800f0504c57458acd7243852718e85bb3d14c","observation_id":"97c77aa2-90c7-4d8d-ad38-65048131b506","resolution":{"observed_at":"2026-08-06T06:01:20.542342Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.520898Z","title":"20 (2016), no","venue":null,"work_id":"f8766e19-2ced-4d02-ab81-28d1fd51f512","year":2016},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.295006Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:8bc7aef97836588f4bd30e0d673571658be9fd85efa692d454aff40f282dcbbe","observation_id":"be7d94b3-7cb3-402c-a1a7-62a1dfa101f9","resolution":{"observed_at":"2026-08-06T06:01:20.525928Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.504831Z","title":"a lische Wilhelms-Universit\\","venue":null,"work_id":"dc223879-cfa2-4369-97f7-454c755eb49e","year":2005},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.299040Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:348f3612dcbf49e11eb0e8c039a68b2a24a800e6a146c247fbc827becdc1c5ba","observation_id":"7499e6e2-6918-4b06-a0a8-5380c2c246ec","resolution":{"observed_at":"2026-08-06T06:01:20.509025Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.489685Z","title":"Soul \\'e , Perfect forms and the V andiver conjecture , J","venue":null,"work_id":"61906fbd-c8bd-48ff-9c81-001c0266c2ab","year":1999},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.303594Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:9d2c4ea90785e2c5f0f151575579689c5e5d9ecb7a2a06ef410c1a38f1825845","observation_id":"8eed7268-c4a4-425d-aa5c-e147d0fcd881","resolution":{"observed_at":"2026-08-06T06:01:20.494457Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.472156Z","title":"Stepr \\=a ns, A characterization of free abelian groups, Proc.\\ Amer.\\ Math.\\ Soc","venue":null,"work_id":"68a95a00-a192-48f9-920b-9dc5c6fadbd2","year":1985},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.308031Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:1a3f03f062429b3df475ea73dff6909ca0990d6d983a53d52fe28afe5d2e6a3b","observation_id":"a895ca07-bef2-441d-a79f-96b0beea1cdf","resolution":{"observed_at":"2026-08-06T06:01:20.478594Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.456552Z","title":null,"venue":null,"work_id":"91d69b53-7857-4659-be00-7ac08eb569c9","year":2015},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.312181Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:39eb51dfc74fbe60b0d29c69e85381cd2216375041e368069780a2866dd3e675","observation_id":"9b0898d9-6f82-4613-8a2a-aa85927ad8b6","resolution":{"observed_at":"2026-08-06T06:01:20.461187Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T06:01:20.438807Z","title":null,"venue":null,"work_id":"4bfcd28c-cdb6-40fc-aab1-bc8f114e3eac","year":1963},"citing_paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth","version":2},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-06T06:01:05.316367Z"},"links":{"citing_paper":"/paper/2508.01347"},"observation_digest":"sha256:a669376b8adc64cb081950c867c64e2cbc1325b1c6d2dfeacfd4ace2b5df6d73","observation_id":"61c37239-37c4-46da-98f6-274bed097a51","resolution":{"observed_at":"2026-08-06T06:01:20.444461Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.01347","last_updated":"2025-08-05T07:16:11Z","latest_version":2,"primary_category":"math.AT","snapshot_observed_at":"2026-08-10T20:05:37.410591Z","submitted_at":"2025-08-02T12:50:12Z","title":"The cheap embedding principle: Dynamical upper bounds for homology growth"},"reference_resolution":{"displayed":47,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":15,"verified_exact":0,"verified_fuzzy":32},"total_outbound_references":47},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 1 inbound Pith citation observation for arXiv:2508.01347."}