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Paper Citation Record · LEDGER

A fast Petrov-Galerkin spectral method for the multi-dimensional Boltzmann equation using mapped Chebyshev functions

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2105.08806.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2105.08806 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 1 of 1 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:27:25.695391Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T15:27:25.992724Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation d24ce1fc-1a6c-4515-8946-f4b4f5cf1f7a · inbound

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks cites this paper.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks A fast Petrov-Galerkin spectral method for the multi-dimensional Boltzmann equation using mapped Chebyshev functions

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:27:25.997009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:27:25.695391Z digest=sha256:a00c401b979d099893738eea44e06f538d0adae65650854c4906cd2e5660921c