{"as_of":"2026-08-14T00:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0814e39ed5b6c595e3ca0ad2335f2c8e5cbd04aaa30f603027ca85e899aac12f","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T22:54:28.182604Z","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":"2026-07-02T05:26:39.798178Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2008.10687","last_updated":"2020-08-24T20:18:23Z","snapshot_observed_at":"2026-07-06T09:49:47.941412Z","submitted_at":"2020-08-24T20:18:23Z","title":"Non left-orderability of lattices in higher rank semi-simple Lie groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.10687","snapshot_observed_at":"2026-08-06T22:54:28.182604Z","title":"Deroin and S","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.20843","last_updated":"2026-06-23T16:17:46Z","snapshot_observed_at":"2026-08-13T05:32:38.033194Z","submitted_at":"2025-06-25T21:27:27Z","title":"Hyperlinearity, stability and asymptotic spectral gap of higher rank lattices","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-06T22:54:28.182604Z"},"links":{"cited_paper":"/paper/2008.10687","citing_paper":"/paper/2506.20843"},"observation_digest":"sha256:add95181f1892e42c83900cc6b92e0e267a4848ed4fa915746b37ee042ab5298","observation_id":"a94566f2-d259-4b2f-8779-98d48ad47051","resolution":{"observed_at":"2026-08-06T22:54:28.182604Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.10687","last_updated":"2020-08-24T20:18:23Z","snapshot_observed_at":"2026-07-06T09:49:47.941412Z","submitted_at":"2020-08-24T20:18:23Z","title":"Non left-orderability of lattices in higher rank semi-simple Lie groups","version":1},"cited_work":{"arxiv_id":"2008.10687","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2008.10687","snapshot_observed_at":"2026-07-02T05:26:39.798178Z","title":"Algebraic actions of discrete groups: thep-adic method","venue":null,"work_id":"972fe71a-d271-421d-a433-6ac98a4c5dc2","year":2018},"citing_paper":{"arxiv_id":"2605.13406","last_updated":"2026-05-13T12:00:43Z","snapshot_observed_at":"2026-08-13T21:03:39.306755Z","submitted_at":"2026-05-13T12:00:43Z","title":"Groups with classifiable actions on the line","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-05-14T18:38:45.540120Z"},"links":{"cited_paper":"/paper/2008.10687","citing_paper":"/paper/2605.13406"},"observation_digest":"sha256:2c4f8eacc88ce252cf734755ec625518d9817cfe53a62a0f66f9fd47714e53ed","observation_id":"b4a2b007-3200-4998-92af-ab104f50496a","resolution":{"observed_at":"2026-05-14T18:39:22.128651Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.10687","last_updated":"2020-08-24T20:18:23Z","snapshot_observed_at":"2026-07-06T09:49:47.941412Z","submitted_at":"2020-08-24T20:18:23Z","title":"Non left-orderability of lattices in higher rank semi-simple Lie groups","version":1},"cited_work":{"arxiv_id":"2008.10687","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2008.10687","snapshot_observed_at":"2026-07-02T05:26:39.798178Z","title":"Algebraic actions of discrete groups: thep-adic method","venue":null,"work_id":"972fe71a-d271-421d-a433-6ac98a4c5dc2","year":2018},"citing_paper":{"arxiv_id":"2607.00697","last_updated":"2026-07-01T09:45:45Z","snapshot_observed_at":"2026-08-10T16:25:18.297376Z","submitted_at":"2026-07-01T09:45:45Z","title":"Actions of lattices in $S$-arithmetic groups on manifolds","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-02T05:26:04.358354Z"},"links":{"cited_paper":"/paper/2008.10687","citing_paper":"/paper/2607.00697"},"observation_digest":"sha256:87a22e6015795db4c62a0ad69117af05b7e4522063f0e40acdea04b16af20b72","observation_id":"99610b52-a4f1-43ce-9722-7c9deac88792","resolution":{"observed_at":"2026-07-02T05:26:39.800580Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.10687","last_updated":"2020-08-24T20:18:23Z","snapshot_observed_at":"2026-07-06T09:49:47.941412Z","submitted_at":"2020-08-24T20:18:23Z","title":"Non left-orderability of lattices in higher rank semi-simple Lie groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.10687","snapshot_observed_at":"2026-08-02T01:38:30.721017Z","title":"Non left-orderability of lattices in higher rank semi-simple Lie groups , publisher =","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.14668","last_updated":"2026-07-16T07:35:21Z","snapshot_observed_at":"2026-08-02T01:38:22.834998Z","submitted_at":"2026-07-16T07:35:21Z","title":"Stability for boundary actions of cocompact lattices in Euclidean buildings","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-02T01:38:30.721017Z"},"links":{"cited_paper":"/paper/2008.10687","citing_paper":"/paper/2607.14668"},"observation_digest":"sha256:1b250d51306c4b46ce8528e457913d719777ee648ac7bf3418138d8809206b3d","observation_id":"accc00c7-75e2-42a3-a27c-26c14b9ca2e5","resolution":{"observed_at":"2026-08-02T01:38:30.721017Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2008.10687/citation-record","integrity":"/paper/2008.10687/integrity","json":"/paper/2008.10687/citation-record.json","paper":"/paper/2008.10687"},"outbound":[],"paper":{"arxiv_id":"2008.10687","last_updated":"2020-08-24T20:18:23Z","latest_version":1,"primary_category":"math.GR","snapshot_observed_at":"2026-07-06T09:49:47.941412Z","submitted_at":"2020-08-24T20:18:23Z","title":"Non left-orderability of lattices in higher rank semi-simple Lie groups"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2008.10687."}