{"as_of":"2026-08-16T16:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d469830af8368c14a70b27ee349b45a87788179e9a7df6c07950670ff6742cc9","coverage":[{"denominator":25,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":25,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T12:35:26.742783Z","state":"measured"},{"denominator":25,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":25,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.07294/citation-record","integrity":"/paper/1908.07294/integrity","json":"/paper/1908.07294/citation-record.json","paper":"/paper/1908.07294"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:35:27.005622Z","title":null,"venue":null,"work_id":"d7b5ba9c-f581-4a87-9737-0b87809326c1","year":2001},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.660156Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:3efd70126686f972ecc7a1910f32a077beba70fa2f4339f3040564a3df04c58e","observation_id":"e40de105-4acc-40d2-a639-7a9907b94497","resolution":{"observed_at":"2026-08-14T12:35:27.008955Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.996185Z","title":"Benson, Growth series of finite extensions of Zn are rational , Invent","venue":null,"work_id":"a7894fc4-81fe-4aac-825c-d93cb382bdaf","year":1983},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.664284Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:d9ea110f788315e5faa8f6fc10641fbd8eb5b1834273eaed847b72ffbc77f476","observation_id":"d8136e49-6a76-4d33-b2e4-de31e7f0cda4","resolution":{"observed_at":"2026-08-14T12:35:26.999552Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.987110Z","title":"Bridson, José Burillo, Murray Elder, and Zoran Šunić, On groups whose geodesic growth is polynomial, Internat","venue":null,"work_id":"36d031ad-3864-4b26-8b2f-7d2008fe69a2","year":2012},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.667732Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:8aa5733f001f35d49a8072ab426e9c0fae55469348c343574f49aebd817a3366","observation_id":"d0f41239-3e40-4f67-be06-9774a3bc985a","resolution":{"observed_at":"2026-08-14T12:35:26.990431Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.978026Z","title":null,"venue":null,"work_id":"3ac0a329-ae58-45f6-8ec2-84a11ba6ea73","year":1921},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.671511Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:c87d03a44de0a4bc5a02c78a4009d3d8e46da2f324090e1278f375fceacd3e38","observation_id":"bfe4ef79-e063-4ac3-9ce1-f3fa7c0f5b72","resolution":{"observed_at":"2026-08-14T12:35:26.981321Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.969397Z","title":"Algebra 303 (2006), no","venue":null,"work_id":"1b1fd343-c3f1-4673-8d3c-dfb06d78a2c2","year":2006},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.675037Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:cf48035bc322b05acc9dac209bc19ace0aa84996f282710d600809d9c727aad8","observation_id":"0529297b-4c1a-4b84-9c4c-31d6a802d055","resolution":{"observed_at":"2026-08-14T12:35:26.972319Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.959895Z","title":"MR1786 869","venue":null,"work_id":"f4b03e7d-6111-47d5-8b70-42d0546a486c","year":2000},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.678445Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:e6fe134a1e4e1648fea6546e7ff5ab522ee6cd5bd5a8aadee7cb3e1c10e098e7","observation_id":"a6765cf3-3767-407b-a7d9-36b12e0ceb3e","resolution":{"observed_at":"2026-08-14T12:35:26.963259Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.948623Z","title":null,"venue":null,"work_id":"71fd74ae-810d-4731-930c-c2de1f2b31e2","year":2005},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.682097Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:6d3f08a850a4d8fb87957895cbef74eff2729b326418ae5dc6d1b0fb8e7d231e","observation_id":"1f6c92de-1293-4aef-b5b0-ad3666cf010b","resolution":{"observed_at":"2026-08-14T12:35:26.952390Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.939599Z","title":null,"venue":null,"work_id":"9ae0b8cb-4b26-495a-a72b-989b71083410","year":2008},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.685284Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:3a6655c18db4bec896d250785fb5382ea109b5e64cd4d9c446101b19041d71eb","observation_id":"c299f873-f1d7-4703-ac8f-356f75e6b3f3","resolution":{"observed_at":"2026-08-14T12:35:26.942855Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.929784Z","title":null,"venue":null,"work_id":"943daad5-3eba-4baf-b86d-33fa23a65016","year":1992},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.688421Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:b614744faba0132f21d6959e35916c40969d07042fb95670e41d58921875208d","observation_id":"1a64c146-3a16-435a-8aba-308881638917","resolution":{"observed_at":"2026-08-14T12:35:26.933532Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.920380Z","title":null,"venue":null,"work_id":"a049e0e9-dbcf-4c4a-ac50-a07312440ed9","year":2019},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.691571Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:0feae79d603f61f901344bab2a2fe93984df4050ba7ae7c104fcbeffdf3a6e31","observation_id":"345ecf13-a174-4c9c-8ccf-cd1ba214df13","resolution":{"observed_at":"2026-08-14T12:35:26.923642Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.910904Z","title":"Fekete, Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten , Math","venue":null,"work_id":"1fc23e0d-a774-44e3-891d-f9ffd0184205","year":1923},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.694817Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:76d8f3a927e9b4b622d120cbfaa9439df472a7aed6166ed2292180c3bbceea4a","observation_id":"590a77da-297a-4173-9c0c-8edda79a7c84","resolution":{"observed_at":"2026-08-14T12:35:26.914224Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.901808Z","title":"MR2483235","venue":null,"work_id":"e33b2877-918b-4989-a270-7afb5ce5de4b","year":2009},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.698300Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:be85a2ff7ef2efaf684fef42027e976e8f38315147575e0a0bcb40735407779b","observation_id":"f8e40797-96dd-48da-80bb-4df4ed367b31","resolution":{"observed_at":"2026-08-14T12:35:26.905122Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.892626Z","title":null,"venue":null,"work_id":"903eaa14-e900-4459-b607-1ba1f38b8d7f","year":1978},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.701327Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:970597772274a01c66ca40c4720ff4119e1ff097ae79a6193cbbc9a91ab01109","observation_id":"58591859-aa30-46ec-bd7d-ef6b8dc43c3f","resolution":{"observed_at":"2026-08-14T12:35:26.895637Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.882690Z","title":null,"venue":null,"work_id":"57d79f4f-a9f6-4c9f-bfd4-67e22c25f4ed","year":1983},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.705476Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:1ddac1ae58ee93d2497848ac6fabc1fbf276901453a445f9213c29eefe13406d","observation_id":"b7b04cfe-2172-42b2-918d-64937cecaf9c","resolution":{"observed_at":"2026-08-14T12:35:26.885801Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.873110Z","title":"Gromov, Hyperbolic groups, Essays in group theory, 1987, pp","venue":null,"work_id":"4cc9deb1-3195-46dc-bbf9-779ca46087b5","year":1987},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.708793Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:de9a698ede0a8266c0c77bcd228bc362f0280083748e7b862e9d85664a04030b","observation_id":"df7744f1-fb21-4b56-9d98-7aa26b110c00","resolution":{"observed_at":"2026-08-14T12:35:26.876393Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.863365Z","title":"Hautes Études Sci","venue":null,"work_id":"ab18c72b-742b-4701-8729-76108c75053d","year":1981},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.711591Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:a558f0c9ed6372ddb01980fb31186e77f09b4b25c0fff52b827f1070479175f3","observation_id":"81c3f75e-938e-4b04-9eb1-dafdfe162b66","resolution":{"observed_at":"2026-08-14T12:35:26.867097Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.853592Z","title":"Lipshitz, D-finite power series , J","venue":null,"work_id":"ca9d7735-0f82-46ee-901f-e7f324ff306d","year":1989},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.715408Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:a9d4cce9ac2d95cd310a8d56c70723356cf69d843f5a021f7ade6780ce05bd80","observation_id":"a189ad38-9603-439d-843c-da2cc736d3a6","resolution":{"observed_at":"2026-08-14T12:35:26.857293Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.844006Z","title":"395, Cambridge University Press, Cambridge, 2012","venue":null,"work_id":"214f4be8-f567-4cab-b15b-da826bb11804","year":2012},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.718910Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:95fe4b359f04b8719708e0a69e770a43b1c5a2bb1c38b0672266ccf461416c8a","observation_id":"36112ae8-0a67-45a8-a2f9-ea79c2f7557d","resolution":{"observed_at":"2026-08-14T12:35:26.847270Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.833641Z","title":"Massazza, Holonomic functions and their relation to linearly constra ined languages, RAIRO Inform","venue":null,"work_id":"795e4943-2c57-4061-9978-c7a967393add","year":1993},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.722371Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:da1bdec5176518cdaa878ba93a1b802865ea532cf80f2e8caef65bcf87ea48ce","observation_id":"90c655fd-16d4-4583-b34e-5b0fa9b8734a","resolution":{"observed_at":"2026-08-14T12:35:26.837029Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.822123Z","title":"Muller and Paul E","venue":null,"work_id":"f482b179-b121-4c3e-8cf2-4e56da6e5b8a","year":1983},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.725540Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:25d34e381bf3e99f72e7649c9600ecbdf093be1edc668ea5383ccbbed3ae8262","observation_id":"bd12e94d-2b19-4434-920d-33573e7cc31f","resolution":{"observed_at":"2026-08-14T12:35:26.825993Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.810524Z","title":"117, American Mathematical Society, Providen ce, RI, 2005","venue":null,"work_id":"cb3adc81-9211-41c5-aac9-d1ab13ca2481","year":2005},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.728823Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:21448c733d4ded4218915edd8dab34cf1ef02f2c7a1e49093c2089bffb644948","observation_id":"492d3f2c-885b-4a75-b493-02e095df5a02","resolution":{"observed_at":"2026-08-14T12:35:26.814919Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.800556Z","title":null,"venue":null,"work_id":"0272d017-db48-4a61-974a-91e9569cd721","year":1959},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.732249Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:c2712790c9e473ed6ab6ef11bb8e4e83d9e040f9b5f5ea705761000aebf642e9","observation_id":"c896c379-9598-43d1-821e-7bb38deafab1","resolution":{"observed_at":"2026-08-14T12:35:26.803893Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.790032Z","title":null,"venue":null,"work_id":"214172ca-802e-4ac1-a38d-d8acafbbfa8f","year":1994},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.735337Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:8f6a806f51acc3033aff346b92698213eb36570c8fd7b331c6ae60a9e3fb1a38","observation_id":"9c342382-4a70-4ab4-9cd5-50cd889af3e2","resolution":{"observed_at":"2026-08-14T12:35:26.793768Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.780129Z","title":null,"venue":null,"work_id":"1f6d4477-e7c7-4042-a88f-9d4158b278f0","year":1997},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.739313Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:019cde3c6a74aa9d4ed14956a4a3514a1f4c8f02702dc7a4efb1b0c43b4db06f","observation_id":"87bc4f85-6e53-4a01-93a0-554c93adff87","resolution":{"observed_at":"2026-08-14T12:35:26.783492Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:35:26.767483Z","title":"XIV, Interscience Publisher s John Wiley & Sons, Inc., New York-London-Sydney, 1965","venue":null,"work_id":"7d4d36e0-bad0-4074-bce0-28e373b1b369","year":1965},"citing_paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups","version":4},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T12:35:26.742783Z"},"links":{"citing_paper":"/paper/1908.07294"},"observation_digest":"sha256:fafdbb645f970ad0fda0dbe5f738babf48811fef29744734d09d0c3f875011a8","observation_id":"fabe4d6b-7d0f-4018-bc69-0b77a16c8379","resolution":{"observed_at":"2026-08-14T12:35:26.773393Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.07294","last_updated":"2020-12-04T05:47:24Z","latest_version":4,"primary_category":"math.GR","snapshot_observed_at":"2026-08-16T02:19:05.086187Z","submitted_at":"2019-08-20T12:09:13Z","title":"Geodesic growth in virtually abelian groups"},"reference_resolution":{"displayed":25,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":0,"verified_fuzzy":14},"total_outbound_references":25},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1908.07294."}