{"as_of":"2026-08-08T23:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8560dbb060e2002f90210b7e57de7ec10f13f11c4d501249ca8a92fe84072cfb","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":"2026-08-08T06:32:00.761636+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":"2026-08-07T12:37:14.777187Z","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":"2026-08-07T12:37:16.446971Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.04221","last_updated":"2025-01-09T16:31:49Z","snapshot_observed_at":"2026-07-06T20:17:57.863157Z","submitted_at":"2025-01-08T01:38:54Z","title":"Heat Kernel Estimates for Schr\\\"odinger Operators with Decay at Infinity on Parabolic Manifolds","version":2},"cited_work":{"arxiv_id":"2501.04221","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.04221","snapshot_observed_at":"2026-08-07T12:37:16.446971Z","title":"Heat Kernel Estimates for Schr\\\"odinger Operators with Decay at Infinity on Parabolic Manifolds","venue":"math.AP","work_id":"ac02588d-52ef-4cdb-947a-872f7deb4d13","year":2025},"citing_paper":{"arxiv_id":"2505.24368","last_updated":"2025-05-30T09:02:03Z","snapshot_observed_at":"2026-08-07T12:22:11.486732Z","submitted_at":"2025-05-30T09:02:03Z","title":"Relaxed uniqueness conditions for the parabolic Schrodinger equation on Riemannian manifolds","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T12:37:14.777187Z"},"links":{"cited_paper":"/paper/2501.04221","citing_paper":"/paper/2505.24368"},"observation_digest":"sha256:1ece3b97d25cffde37bba7445b6cbe4d9649c8861c91fa6442a4d8949eab332f","observation_id":"03deba66-c815-4dca-9a60-66af38097a1a","resolution":{"observed_at":"2026-08-07T12:37:16.506995Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.04221/citation-record","integrity":"/paper/2501.04221/integrity","json":"/paper/2501.04221/citation-record.json","paper":"/paper/2501.04221"},"outbound":[],"paper":{"arxiv_id":"2501.04221","last_updated":"2025-01-09T16:31:49Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-07-06T20:17:57.863157Z","submitted_at":"2025-01-08T01:38:54Z","title":"Heat Kernel Estimates for Schr\\\"odinger Operators with Decay at Infinity on Parabolic Manifolds"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2501.04221."}