{"as_of":"2026-08-23T03:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:58d56b3308d94de7a666f81b40c221effcf89886cd3d0b902663696cc9a40933","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":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T00:16:22.716754Z","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":"2026-08-16T00:16:23.113416Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2312.10315","last_updated":"2025-03-08T10:25:18Z","snapshot_observed_at":"2026-08-16T14:42:16.402707Z","submitted_at":"2023-12-16T04:27:56Z","title":"A neural network kernel decomposition for learning multiple steady states in parameterized dynamical systems","version":2},"cited_work":{"arxiv_id":"2312.10315","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.10315","snapshot_observed_at":"2026-08-16T00:16:23.113416Z","title":"A neural network kernel decomposition for learning multiple steady states in parameterized dynamical systems","venue":"math.NA","work_id":"0954ba09-81eb-40f4-b2c5-c02e66d52fd9","year":2023},"citing_paper":{"arxiv_id":"2608.12286","last_updated":"2026-08-12T17:31:38Z","snapshot_observed_at":"2026-08-18T13:19:37.007712Z","submitted_at":"2026-08-12T17:31:38Z","title":"PatternFormer: Learning Multiple Solution Patterns in Reaction--Diffusion Systems","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-16T00:16:22.716754Z"},"links":{"cited_paper":"/paper/2312.10315","citing_paper":"/paper/2608.12286"},"observation_digest":"sha256:c400d98ca30e4f352f5b280229a1499b5c35360ce8aaacaff72d892f022db461","observation_id":"4ea15d86-9b66-4f22-a090-dd1fc3476ff0","resolution":{"observed_at":"2026-08-16T00:16:23.120672Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2312.10315/citation-record","integrity":"/paper/2312.10315/integrity","json":"/paper/2312.10315/citation-record.json","paper":"/paper/2312.10315"},"outbound":[],"paper":{"arxiv_id":"2312.10315","last_updated":"2025-03-08T10:25:18Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-16T14:42:16.402707Z","submitted_at":"2023-12-16T04:27:56Z","title":"A neural network kernel decomposition for learning multiple steady states in parameterized dynamical systems"},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2312.10315."}