{"as_of":"2026-08-12T17:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c4f8b21c7ee0de3024aac94ae88c1cf4ab6fef0d49441686aec222e356328c3a","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":"2026-08-12T06:34:41.77262+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":"2026-08-09T21:46:21.021665Z","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":"2026-08-06T22:19:12.305967Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2410.12637","last_updated":"2024-10-16T14:55:22Z","snapshot_observed_at":"2026-08-10T02:49:59.314584Z","submitted_at":"2024-10-16T14:55:22Z","title":"On solutions to a class of degenerate equations with the Grushin operator","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.12637","snapshot_observed_at":"2026-08-09T21:46:21.021665Z","title":"Abatangelo, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.19033","last_updated":"2025-05-16T09:55:11Z","snapshot_observed_at":"2026-08-10T07:23:50.915713Z","submitted_at":"2025-01-31T11:03:09Z","title":"Schauder estimates for elliptic equations degenerating on lower dimensional manifolds","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T21:46:21.021665Z"},"links":{"cited_paper":"/paper/2410.12637","citing_paper":"/paper/2501.19033"},"observation_digest":"sha256:2dbf3e9f4daae8403c44aecf5ade59429935f009a1540891dd4e66f8c5f0bec1","observation_id":"97dd68ae-a3f1-4bd8-b1b2-00e9638b2fc0","resolution":{"observed_at":"2026-08-09T21:46:21.021665Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.12637","last_updated":"2024-10-16T14:55:22Z","snapshot_observed_at":"2026-08-10T02:49:59.314584Z","submitted_at":"2024-10-16T14:55:22Z","title":"On solutions to a class of degenerate equations with the Grushin operator","version":1},"cited_work":{"arxiv_id":"2410.12637","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.12637","snapshot_observed_at":"2026-08-06T22:19:12.305967Z","title":"On solutions to a class of degenerate equations with the Grushin operator","venue":"math.AP","work_id":"33878336-1f57-4c28-bba7-a9690b3e3d77","year":2024},"citing_paper":{"arxiv_id":"2506.22177","last_updated":"2025-06-27T12:43:14Z","snapshot_observed_at":"2026-08-10T02:49:29.446095Z","submitted_at":"2025-06-27T12:43:14Z","title":"Existence and decay for a Grushin problem in $\\mathbb{R}^N$ with singular, convective, critical reaction","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T22:19:04.916517Z"},"links":{"cited_paper":"/paper/2410.12637","citing_paper":"/paper/2506.22177"},"observation_digest":"sha256:9b27d1ec40777cb9b38d23b982ccf87daf06168c13903c4b93b732aa1d381ed9","observation_id":"e38a78f8-0b4b-408b-87a2-0fa402ee56b4","resolution":{"observed_at":"2026-08-06T22:19:12.372184Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2410.12637/citation-record","integrity":"/paper/2410.12637/integrity","json":"/paper/2410.12637/citation-record.json","paper":"/paper/2410.12637"},"outbound":[],"paper":{"arxiv_id":"2410.12637","last_updated":"2024-10-16T14:55:22Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-10T02:49:59.314584Z","submitted_at":"2024-10-16T14:55:22Z","title":"On solutions to a class of degenerate equations with the Grushin operator"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2410.12637."}