{"as_of":"2026-08-13T04:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:498b0381ac1223f71b986ba228fe9f097778416c219724decdbd7be9a2d81be6","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T13:10:08.339402Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-24T15:14:37.324354Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1611.08787","last_updated":"2023-04-24T01:22:49Z","snapshot_observed_at":"2026-07-06T05:20:15.624652Z","submitted_at":"2016-11-27T04:56:35Z","title":"Analytical solution to DGLAP integro-differential equation in a simple toy-model with a fixed gauge coupling","version":2},"cited_work":{"arxiv_id":"1611.08787","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1611.08787","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Analytical solution to DGLAP integro-diﬀerential equation in a simple toy-model with a ﬁx ed gauge coupling","venue":null,"work_id":"2724d02f-1a08-48cb-9243-13ab7993294b","year":2023},"citing_paper":{"arxiv_id":"1912.02303","last_updated":"2020-06-23T15:42:21Z","snapshot_observed_at":"2026-07-06T08:42:09.483153Z","submitted_at":"2019-12-04T23:24:18Z","title":"Analytical solution to DGLAP integro-differential equation via complex maps in domains of contour integrals","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-24T15:10:09.356920Z"},"links":{"cited_paper":"/paper/1611.08787","citing_paper":"/paper/1912.02303"},"observation_digest":"sha256:e90bba88b72762d7da1e56045a1e4754f51c80fd408a6bdb9fea108e66cad4e7","observation_id":"27eccc15-5a17-418b-8668-14fdf0b1df9e","resolution":{"observed_at":"2026-05-24T15:14:37.328002Z","resolver_source":"arxiv_id","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"}},{"citation":{"cited_paper":{"arxiv_id":"1611.08787","last_updated":"2023-04-24T01:22:49Z","snapshot_observed_at":"2026-07-06T05:20:15.624652Z","submitted_at":"2016-11-27T04:56:35Z","title":"Analytical solution to DGLAP integro-differential equation in a simple toy-model with a fixed gauge coupling","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1611.08787","snapshot_observed_at":"2026-08-11T13:10:08.339402Z","title":"Analytical Solution to DGLAP Integro-Differential Equation in a Simple Toy-Model with a Fixed Gauge Coupling,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.13512","last_updated":"2025-02-17T13:53:00Z","snapshot_observed_at":"2026-08-11T18:59:29.216781Z","submitted_at":"2024-12-18T05:23:59Z","title":"A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T13:10:08.339402Z"},"links":{"cited_paper":"/paper/1611.08787","citing_paper":"/paper/2412.13512"},"observation_digest":"sha256:4128ffad9177c45dc2f016f2989c0e8c1e98ff396af0cfe1b4f65c57db97a547","observation_id":"696a7b74-8085-4ac3-906d-9b000f690482","resolution":{"observed_at":"2026-08-11T13:10:08.339402Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1611.08787","last_updated":"2023-04-24T01:22:49Z","snapshot_observed_at":"2026-07-06T05:20:15.624652Z","submitted_at":"2016-11-27T04:56:35Z","title":"Analytical solution to DGLAP integro-differential equation in a simple toy-model with a fixed gauge coupling","version":2},"cited_work":{"arxiv_id":"1611.08787","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1611.08787","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Analytical solution to DGLAP integro-diﬀerential equation in a simple toy-model with a ﬁx ed gauge coupling","venue":null,"work_id":"2724d02f-1a08-48cb-9243-13ab7993294b","year":2023},"citing_paper":{"arxiv_id":"2604.07787","last_updated":"2026-04-09T04:29:19Z","snapshot_observed_at":"2026-08-11T10:13:48.221787Z","submitted_at":"2026-04-09T04:29:19Z","title":"Inverse Laplace and Mellin integral transforms modified for use in quantum communications","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-10T18:09:20.070046Z"},"links":{"cited_paper":"/paper/1611.08787","citing_paper":"/paper/2604.07787"},"observation_digest":"sha256:4ee130c1f805a4026b4f813c626213342fd6e2ce686910cd831c145466f72d02","observation_id":"a69be775-7ac6-4787-8397-8803043ce2d0","resolution":{"observed_at":"2026-05-11T05:25:57.838747Z","resolver_source":"arxiv_id","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/1611.08787/citation-record","integrity":"/paper/1611.08787/integrity","json":"/paper/1611.08787/citation-record.json","paper":"/paper/1611.08787"},"outbound":[],"paper":{"arxiv_id":"1611.08787","last_updated":"2023-04-24T01:22:49Z","latest_version":2,"primary_category":"hep-ph","snapshot_observed_at":"2026-07-06T05:20:15.624652Z","submitted_at":"2016-11-27T04:56:35Z","title":"Analytical solution to DGLAP integro-differential equation in a simple toy-model with a fixed gauge coupling"},"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 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1611.08787."}