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Paper Citation Record · LEDGER

Four-Loop Gauge and Three-Loop Yukawa Beta-Functions in a General Renormalizable Theory

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2105.09918.

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

pith.paper-citation-record.v1
2105.09918 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:29:14.856514Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T17:25:51.991135Z

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 0cda7ee8-afb2-43d0-bd18-1a6187d7c910 · inbound

On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations cites this paper.

On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Four-Loop Gauge and Three-Loop Yukawa Beta-Functions in a General Renormalizable Theory

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-10T15:29:14.856514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:29:14.856514Z digest=sha256:94efb906cb880005a04c7cfb0195b5d7309c6e97a25be2e54d60b2a41960c466

Observation 78fdb682-0910-4c43-9820-180e13afb1d7 · inbound

New Solutions of RG Equations for \alpha_s and y_{top} cites this paper.

New Solutions of RG Equations for \alpha_s and y_{top} Four-Loop Gauge and Three-Loop Yukawa Beta-Functions in a General Renormalizable Theory

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-07-01T17:25:51.992931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-06-29T03:41:56.634919Z digest=sha256:c9fac91632742c0a0f17931227d66d97fc51439a851146f6cb019766339edf69

Observation 1e6f8ad4-55cc-4a64-a8a2-d7d40314e545 · inbound

Gauge coupling beta functions and gauge field anomalous dimensions at four loops in the Standard Model cites this paper.

Gauge coupling beta functions and gauge field anomalous dimensions at four loops in the Standard Model Four-Loop Gauge and Three-Loop Yukawa Beta-Functions in a General Renormalizable Theory

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-01T07:03:32.510685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:03:32.510685Z digest=sha256:d804e9752a873d552915bf8b02816e9aecd603437fc364645f02b0088e7c423b