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Paper Citation Record · LEDGER

General Quartic $\beta$-Function at Three Loops

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2408.05267.

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

pith.paper-citation-record.v1
2408.05267 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:21:37.959050Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T15:29:15.221619Z

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 66ad9c2c-bfbb-487d-8c5c-cafe4ffac133 · 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 General Quartic $\beta$-Function at Three Loops

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-08-10T15:29:15.225297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-10T15:29:14.845864Z digest=sha256:8853c401e0f1b2a33d65d8f3051a35d66011f3dd611a3ebb6873c7c3393f8fa1

Observation 5bcd319f-6ea5-4b5e-bcbb-d819a0cf8d47 · inbound

Gradient RG Flow in Scalar-Fermion QFTs cites this paper.

Gradient RG Flow in Scalar-Fermion QFTs General Quartic $\beta$-Function at Three Loops

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-04T06:55:38.817600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T06:55:38.817600Z digest=sha256:ffb69f19e94ddf22adc02f88fbd8637583f342261c535f357e7c22464dbc05df

Observation fc3ff4d9-6b8e-43ad-ac43-ae8b265e12e3 · 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 General Quartic $\beta$-Function at Three Loops

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-01T07:03:32.900278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:03:32.900278Z digest=sha256:0c9aa88d47e508ba31c9c74e0dd02ded46d00ad2fb695c5395b89bf8411d5ceb

Observation 8d957b86-af42-40de-b87c-ff48aaab2537 · inbound

Constraints on the $O(n)$ model from a negative number of flavors cites this paper.

Constraints on the $O(n)$ model from a negative number of flavors General Quartic $\beta$-Function at Three Loops

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-16T00:21:37.959050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:21:37.959050Z digest=sha256:4e67c74f7d040d493cbc090fee6f868e24c3a9d8e7e4cd170dd813341737776e