{"as_of":"2026-08-16T14:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:908305c8c18771535acd97ae9eb3ec321176935d40ed0c0c99d544444f0f84e6","coverage":[{"denominator":4,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:28:45.564842Z","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":"2026-08-16T06:30:59.297886+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/1908.03315/citation-record","integrity":"/paper/1908.03315/integrity","json":"/paper/1908.03315/citation-record.json","paper":"/paper/1908.03315"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:28:45.976454Z","title":"Bruno, F","venue":null,"work_id":"18ea8d2a-9b67-4355-939f-e0601311ebc9","year":2004},"citing_paper":{"arxiv_id":"1908.03315","last_updated":"2021-01-20T15:30:44Z","snapshot_observed_at":"2026-08-16T10:27:11.946046Z","submitted_at":"2019-08-09T04:58:27Z","title":"Invariant systems of representatives, or The cost of symmetry","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T14:28:45.450695Z"},"links":{"citing_paper":"/paper/1908.03315"},"observation_digest":"sha256:bab79aed49c711e7327db77c1f2ae221cdfc51efd4a14498f8be7d02e7544dac","observation_id":"f3d07520-e26b-44c1-b4b7-4c3fa5fa1d9c","resolution":{"observed_at":"2026-08-14T14:28:45.982050Z","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":{"arxiv_id":"0812.1359","last_updated":"2010-08-31T10:48:14Z","snapshot_observed_at":"2026-08-15T05:59:52.846951Z","submitted_at":"2008-12-07T15:52:55Z","title":"Automorphism invariance and identities","version":2},"cited_work":{"arxiv_id":"0812.1359","doi":null,"metadata_source":"pith","pith_arxiv_id":"0812.1359","snapshot_observed_at":"2026-08-14T14:28:45.692115Z","title":"Automorphism invariance and identities","venue":"math.GR","work_id":"e8f33f21-5efe-4ca9-accf-f68679438f27","year":2008},"citing_paper":{"arxiv_id":"1908.03315","last_updated":"2021-01-20T15:30:44Z","snapshot_observed_at":"2026-08-16T10:27:11.946046Z","submitted_at":"2019-08-09T04:58:27Z","title":"Invariant systems of representatives, or The cost of symmetry","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T14:28:45.564842Z"},"links":{"cited_paper":"/paper/0812.1359","citing_paper":"/paper/1908.03315"},"observation_digest":"sha256:98cca14667e5ec880422ef4e3e8e3eaf2d431bea232551eb768ce7fd2964cbd2","observation_id":"90b7ab9e-7d29-42e9-8a43-ac2f259cf43c","resolution":{"observed_at":"2026-08-14T14:28:45.698602Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":{"arxiv_id":"1804.00268","last_updated":"2018-04-01T07:18:10Z","snapshot_observed_at":"2026-08-14T19:30:22.123160Z","submitted_at":"2018-04-01T07:18:10Z","title":"Khukhro-Makarenko type theorems for algebras","version":1},"cited_work":{"arxiv_id":"1804.00268","doi":null,"metadata_source":"pith","pith_arxiv_id":"1804.00268","snapshot_observed_at":"2026-08-14T14:28:45.718185Z","title":"Khukhro-Makarenko type theorems for algebras","venue":"math.RA","work_id":"ea01ba5a-78d3-400c-8f93-2efdf87f6d17","year":2018},"citing_paper":{"arxiv_id":"1908.03315","last_updated":"2021-01-20T15:30:44Z","snapshot_observed_at":"2026-08-16T10:27:11.946046Z","submitted_at":"2019-08-09T04:58:27Z","title":"Invariant systems of representatives, or The cost of symmetry","version":3},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-14T14:28:45.483794Z"},"links":{"cited_paper":"/paper/1804.00268","citing_paper":"/paper/1908.03315"},"observation_digest":"sha256:b2f42d1a8d2ec7a8565a66262e6c34aba25dfe2676440ab1b49ece224d0f69cf","observation_id":"9b2c783b-d3e4-4d71-b2c8-5fa80dece1b8","resolution":{"observed_at":"2026-08-14T14:28:45.826493Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"2026-08-14T14:28:45.876088Z","title":null,"venue":null,"work_id":"d197ef77-406d-42c9-820d-996f19778819","year":2007},"citing_paper":{"arxiv_id":"1908.03315","last_updated":"2021-01-20T15:30:44Z","snapshot_observed_at":"2026-08-16T10:27:11.946046Z","submitted_at":"2019-08-09T04:58:27Z","title":"Invariant systems of representatives, or The cost of symmetry","version":3},"reference_index":1979,"source":"pdf_text","source_observed_at":"2026-08-14T14:28:45.538137Z"},"links":{"citing_paper":"/paper/1908.03315"},"observation_digest":"sha256:f745d879457648c8480c2e7aa76119c588b9a99f13fc006f0401ac578d395058","observation_id":"e053f42f-1a59-47cc-b5c7-403cd7e8bb97","resolution":{"observed_at":"2026-08-14T14:28:45.961262Z","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"}}],"paper":{"arxiv_id":"1908.03315","last_updated":"2021-01-20T15:30:44Z","latest_version":3,"primary_category":"math.CO","snapshot_observed_at":"2026-08-16T10:27:11.946046Z","submitted_at":"2019-08-09T04:58:27Z","title":"Invariant systems of representatives, or The cost of symmetry"},"reference_resolution":{"displayed":4,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":2,"verified_fuzzy":1},"total_outbound_references":4},"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 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:1908.03315."}