{"as_of":"2026-08-08T03:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e3248d8fc1e1093e2dcf33619753a99d4ebf20f8f2f500aa49ca002d0310e156","coverage":[{"denominator":5,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:10:50.275395Z","state":"measured"},{"denominator":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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/2506.00729/citation-record","integrity":"/paper/2506.00729/integrity","json":"/paper/2506.00729/citation-record.json","paper":"/paper/2506.00729"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1043.51001","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:51.136328Z","title":"Geometry","venue":null,"work_id":"ace4c9c7-58de-4a0a-a3a9-f548f8bf508e","year":2003},"citing_paper":{"arxiv_id":"2506.00729","last_updated":"2025-06-06T15:05:40Z","snapshot_observed_at":"2026-08-07T11:57:05.470599Z","submitted_at":"2025-05-31T22:04:58Z","title":"On Groups of Linear Fractional Transformations Stabilizing Finite Sets of Four Elements","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:49.957883Z"},"links":{"citing_paper":"/paper/2506.00729"},"observation_digest":"sha256:697e4ec491c19dc7bfc54ce1b99f6cdda99b128f057f46bcdb1f79d14d881d53","observation_id":"9b7551b9-68fb-4a6f-b76b-b52d3e56fa60","resolution":{"observed_at":"2026-08-07T12:10:51.209424Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"0528.30001","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:50.862336Z","title":null,"venue":null,"work_id":"a63c5d07-4092-4e51-967b-90fa0c33bc56","year":2012},"citing_paper":{"arxiv_id":"2506.00729","last_updated":"2025-06-06T15:05:40Z","snapshot_observed_at":"2026-08-07T11:57:05.470599Z","submitted_at":"2025-05-31T22:04:58Z","title":"On Groups of Linear Fractional Transformations Stabilizing Finite Sets of Four Elements","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:50.026298Z"},"links":{"citing_paper":"/paper/2506.00729"},"observation_digest":"sha256:4deb5405e171d601111c2e43552a540fa918e074ec876e14f952ffdd0a377898","observation_id":"787615ef-34f7-4009-9ff4-47695b11f90a","resolution":{"observed_at":"2026-08-07T12:10:50.988382Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"0606.51001","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:50.719749Z","title":"I, Universitext","venue":null,"work_id":"7860f78e-e515-41e6-9aed-ad8ccdbbcd4b","year":1987},"citing_paper":{"arxiv_id":"2506.00729","last_updated":"2025-06-06T15:05:40Z","snapshot_observed_at":"2026-08-07T11:57:05.470599Z","submitted_at":"2025-05-31T22:04:58Z","title":"On Groups of Linear Fractional Transformations Stabilizing Finite Sets of Four Elements","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:50.121449Z"},"links":{"citing_paper":"/paper/2506.00729"},"observation_digest":"sha256:50d0e3daa2e93ee857cc14a46b84ff043e07d7dd6a26bfc353bc0d4945e2b663","observation_id":"7aabd0f0-d089-488b-a5b9-fb3e3af3854c","resolution":{"observed_at":"2026-08-07T12:10:50.755250Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:10:51.286971Z","title":null,"venue":null,"work_id":"cb375416-8c6f-4809-8059-3929ef988c80","year":2004},"citing_paper":{"arxiv_id":"2506.00729","last_updated":"2025-06-06T15:05:40Z","snapshot_observed_at":"2026-08-07T11:57:05.470599Z","submitted_at":"2025-05-31T22:04:58Z","title":"On Groups of Linear Fractional Transformations Stabilizing Finite Sets of Four Elements","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:50.172213Z"},"links":{"citing_paper":"/paper/2506.00729"},"observation_digest":"sha256:a84d923e747b035ba8ff554552b35e0f551ddea25ff6016a2abbcb783065efac","observation_id":"4edbd8d4-496e-4108-9d36-f1b232f14437","resolution":{"observed_at":"2026-08-07T12:10:51.377525Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"0679.51001","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:10:50.530032Z","title":"Projective geometry","venue":null,"work_id":"acdeb0c9-10b5-4399-b89c-1e9aa505c6b7","year":1988},"citing_paper":{"arxiv_id":"2506.00729","last_updated":"2025-06-06T15:05:40Z","snapshot_observed_at":"2026-08-07T11:57:05.470599Z","submitted_at":"2025-05-31T22:04:58Z","title":"On Groups of Linear Fractional Transformations Stabilizing Finite Sets of Four Elements","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T12:10:50.275395Z"},"links":{"citing_paper":"/paper/2506.00729"},"observation_digest":"sha256:a455850da3e5fc306bdbc84c0e1e5d3629ed8b71cea88d267b2bfea4dbd59cc6","observation_id":"4a181f6c-a015-4769-83be-e72b02b7efbe","resolution":{"observed_at":"2026-08-07T12:10:50.581387Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.00729","last_updated":"2025-06-06T15:05:40Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-07T11:57:05.470599Z","submitted_at":"2025-05-31T22:04:58Z","title":"On Groups of Linear Fractional Transformations Stabilizing Finite Sets of Four Elements"},"reference_resolution":{"displayed":5,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":3,"verified_fuzzy":0},"total_outbound_references":5},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:2506.00729."}