{"as_of":"2026-08-13T07:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4630c04a85a414d29545e35d06518ebcc88e8961355fdfc26554c6b8ba7c4bd9","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":"2026-08-13T06:32:02.005865+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":"2026-08-08T15:08:34.218283Z","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":"2026-08-08T15:08:34.255380Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2012.11360","last_updated":"2020-12-18T12:07:33Z","snapshot_observed_at":"2026-08-13T03:39:16.509338Z","submitted_at":"2020-12-18T12:07:33Z","title":"Fractional Leibniz integral rules for Riemann-Liouville and Caputo fractional derivatives and their applications","version":1},"cited_work":{"arxiv_id":"2012.11360","doi":null,"metadata_source":"pith","pith_arxiv_id":"2012.11360","snapshot_observed_at":"2026-08-08T15:08:34.255380Z","title":"Fractional Leibniz integral rules for Riemann-Liouville and Caputo fractional derivatives and their applications","venue":"math.CA","work_id":"4d4d8ed1-f34c-4cb7-980b-5bcefac585a9","year":2020},"citing_paper":{"arxiv_id":"2608.05338","last_updated":"2026-08-05T18:54:46Z","snapshot_observed_at":"2026-08-11T09:52:20.212966Z","submitted_at":"2026-08-05T18:54:46Z","title":"Transparent boundary conditions for the spatially discrete Schr\\\"odinger equation: Reflectionless quantum transport in 1D lattices","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-08T15:08:34.218283Z"},"links":{"cited_paper":"/paper/2012.11360","citing_paper":"/paper/2608.05338"},"observation_digest":"sha256:fb17321aec4de573ece184534d33ff22b205559e725b66470713d0b484ab677b","observation_id":"d1679fda-881e-42ea-91b1-e12debc70d62","resolution":{"observed_at":"2026-08-08T15:08:34.342337Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2012.11360/citation-record","integrity":"/paper/2012.11360/integrity","json":"/paper/2012.11360/citation-record.json","paper":"/paper/2012.11360"},"outbound":[],"paper":{"arxiv_id":"2012.11360","last_updated":"2020-12-18T12:07:33Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-13T03:39:16.509338Z","submitted_at":"2020-12-18T12:07:33Z","title":"Fractional Leibniz integral rules for Riemann-Liouville and Caputo fractional derivatives and their applications"},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2012.11360."}