{"as_of":"2026-08-16T13:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:821bedcd4606590bd7b18d85407f525bf29341a6db8456a975b537053d24b5ce","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":"2026-08-16T06:30:59.297886+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":"2026-08-16T01:04:39.719727Z","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":"2026-08-15T16:15:54.912230Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2306.12788","last_updated":"2023-11-29T20:48:43Z","snapshot_observed_at":"2026-08-13T11:12:05.163459Z","submitted_at":"2023-06-22T10:39:13Z","title":"Inner Riesz balayage in minimum energy problems with external fields","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.12788","snapshot_observed_at":"2026-08-16T01:04:39.719727Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.02260","last_updated":"2025-05-04T21:31:53Z","snapshot_observed_at":"2026-08-16T00:54:20.662545Z","submitted_at":"2025-05-04T21:31:53Z","title":"Weighted minimum $\\alpha$-Green energy problems","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-16T01:04:39.719727Z"},"links":{"cited_paper":"/paper/2306.12788","citing_paper":"/paper/2505.02260"},"observation_digest":"sha256:21588df441032a19523372969df9945ac6196732d09e6360da4ca79c57028729","observation_id":"5a48666d-4d2e-4cd7-95b8-3984ca17c77f","resolution":{"observed_at":"2026-08-16T01:04:39.719727Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.12788","last_updated":"2023-11-29T20:48:43Z","snapshot_observed_at":"2026-08-13T11:12:05.163459Z","submitted_at":"2023-06-22T10:39:13Z","title":"Inner Riesz balayage in minimum energy problems with external fields","version":2},"cited_work":{"arxiv_id":"2306.12788","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.12788","snapshot_observed_at":"2026-08-15T16:15:54.912230Z","title":"Inner Riesz balayage in minimum energy problems with external fields","venue":"math.CA","work_id":"77ae820f-b008-4aae-91e7-41c67b492002","year":2023},"citing_paper":{"arxiv_id":"2509.08761","last_updated":"2025-09-10T16:50:09Z","snapshot_observed_at":"2026-08-15T15:57:42.738141Z","submitted_at":"2025-09-10T16:50:09Z","title":"Existence of minimizers for interaction energies with external potentials","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-15T16:15:54.856752Z"},"links":{"cited_paper":"/paper/2306.12788","citing_paper":"/paper/2509.08761"},"observation_digest":"sha256:dc4d1681af985fe533889979b05c8a4063d771811109a81b73f4b049283e9a27","observation_id":"a292ec37-adb6-492e-8a3f-8ce33782b962","resolution":{"observed_at":"2026-08-15T16:15:54.918662Z","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"}}],"links":{"evidence":"/evidence","html":"/paper/2306.12788/citation-record","integrity":"/paper/2306.12788/integrity","json":"/paper/2306.12788/citation-record.json","paper":"/paper/2306.12788"},"outbound":[],"paper":{"arxiv_id":"2306.12788","last_updated":"2023-11-29T20:48:43Z","latest_version":2,"primary_category":"math.CA","snapshot_observed_at":"2026-08-13T11:12:05.163459Z","submitted_at":"2023-06-22T10:39:13Z","title":"Inner Riesz balayage in minimum energy problems with external fields"},"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":"2026-08-16T06:30:59.297886+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 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2306.12788."}