Paper Citation Record · LEDGER

Low moments of the four-loop splitting functions in QCD

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2111.15561.

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

pith.paper-citation-record.v1
2111.15561 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:06:05.510016Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T22:45:07.535007Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
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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 dba0fb9d-39ed-48d5-b262-a7dea96e57f6 · inbound

Beyond Scale Variations: Perturbative Theory Uncertainties from Nuisance Parameters cites this paper.

Beyond Scale Variations: Perturbative Theory Uncertainties from Nuisance Parameters Low moments of the four-loop splitting functions in QCD

Reference 126

Resolution: unresolved; no resolver link, observed 2026-08-12T11:06:05.510016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49bdf33b-9b28-4283-8e77-3639dcc926e3 · inbound

The four-loop non-singlet splitting functions in QCD cites this paper.

The four-loop non-singlet splitting functions in QCD Low moments of the four-loop splitting functions in QCD

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-11T08:16:02.330178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0e292aaf-061b-4e2a-867d-5db451989d2b · inbound

Properties and implications of the four-loop non-singlet splitting functions in QCD cites this paper.

Properties and implications of the four-loop non-singlet splitting functions in QCD Low moments of the four-loop splitting functions in QCD

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-12T10:41:30.276478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1147ba6c-b039-4e49-aa5c-173d578c96b0 · inbound

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part cites this paper.

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part Low moments of the four-loop splitting functions in QCD

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-05-12T05:26:24.289217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9349e37e-bd0e-45ce-8dcc-92a67c844fa0 · inbound

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part cites this paper.

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part Low moments of the four-loop splitting functions in QCD

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-06-30T22:45:07.536824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e220f445-d727-4cc3-900f-095064817632 · inbound

Candia-v2: Logarithmic expansions for DGLAP evolution in $x$-space cites this paper.

Candia-v2: Logarithmic expansions for DGLAP evolution in $x$-space Low moments of the four-loop splitting functions in QCD

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T06:20:22.196458Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7540164e-71ee-4435-b042-9ced4d597720 · inbound

Misconceptions About the Physics of the QCD Trace Anomaly from Renormalization in a Reducible Basis cites this paper.

Misconceptions About the Physics of the QCD Trace Anomaly from Renormalization in a Reducible Basis Low moments of the four-loop splitting functions in QCD

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-06T00:42:30.690407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.