{"as_of":"2026-08-15T07:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:925892eade0fcdefc97b83888919407313dafbf251908c529cbdd1811ebf8a27","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T17:43:57.222845Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-07T04:26:48.850856Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2312.06252","last_updated":"2023-12-11T09:49:17Z","snapshot_observed_at":"2026-08-13T05:05:16.816901Z","submitted_at":"2023-12-11T09:49:17Z","title":"A general splitting principle on RCD spaces and applications to spaces with positive spectrum","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.06252","snapshot_observed_at":"2026-08-09T17:43:57.222845Z","title":"Gigli and F","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.00825","last_updated":"2025-02-02T15:43:10Z","snapshot_observed_at":"2026-08-09T17:32:40.931502Z","submitted_at":"2025-02-02T15:43:10Z","title":"An overview of regularity results for the Laplacian and $p$-Laplacian in metric spaces","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-09T17:43:57.222845Z"},"links":{"cited_paper":"/paper/2312.06252","citing_paper":"/paper/2502.00825"},"observation_digest":"sha256:eea6347e31f40e351e6b99af127714a17afedfa010719f4149cb176de885300e","observation_id":"e2b1645c-5eb3-4a3c-a180-58747035dd7f","resolution":{"observed_at":"2026-08-09T17:43:57.222845Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.06252","last_updated":"2023-12-11T09:49:17Z","snapshot_observed_at":"2026-08-13T05:05:16.816901Z","submitted_at":"2023-12-11T09:49:17Z","title":"A general splitting principle on RCD spaces and applications to spaces with positive spectrum","version":1},"cited_work":{"arxiv_id":"2312.06252","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.06252","snapshot_observed_at":"2026-08-07T04:26:48.850856Z","title":"A general splitting principle on RCD spaces and applications to spaces with positive spectrum","venue":"math.MG","work_id":"e41dcd8d-96e2-49a0-b119-2e9231ab68f3","year":2023},"citing_paper":{"arxiv_id":"2506.10809","last_updated":"2026-07-22T09:06:36Z","snapshot_observed_at":"2026-08-14T14:02:53.507598Z","submitted_at":"2025-06-12T15:24:18Z","title":"Warped products over one-dimensional base spaces and the RCD condition","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T04:26:47.478150Z"},"links":{"cited_paper":"/paper/2312.06252","citing_paper":"/paper/2506.10809"},"observation_digest":"sha256:464833911ea026236ce9cc46823a3fc3873e8ebd2a06288e3ed373287512c349","observation_id":"c90bc458-18e0-4c08-8510-17fdb7ef5648","resolution":{"observed_at":"2026-08-07T04:26:48.933559Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2312.06252/citation-record","integrity":"/paper/2312.06252/integrity","json":"/paper/2312.06252/citation-record.json","paper":"/paper/2312.06252"},"outbound":[],"paper":{"arxiv_id":"2312.06252","last_updated":"2023-12-11T09:49:17Z","latest_version":1,"primary_category":"math.MG","snapshot_observed_at":"2026-08-13T05:05:16.816901Z","submitted_at":"2023-12-11T09:49:17Z","title":"A general splitting principle on RCD spaces and applications to spaces with positive spectrum"},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2312.06252."}