Pith. sign in

Paper Citation Record · LEDGER

Gauge coupling beta functions to four-loop order in the Standard Model

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1912.07624.

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

pith.paper-citation-record.v1
1912.07624 v1

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 2026-08-20T06:33:59.587034+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T00:29:35.788748Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T15:29:37.812562Z

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 2fe15a15-be63-40d8-b9d3-5e8841e2bb90 · inbound

Three-loop corrections to the Fermi decay constant in the $\overline{\rm{MS}}$ scheme cites this paper.

Three-loop corrections to the Fermi decay constant in the $\overline{\rm{MS}}$ scheme Gauge coupling beta functions to four-loop order in the Standard Model

Reference 97

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:29:37.924882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T15:29:36.872013Z digest=sha256:0587c0527a899086c78fd16d5bb90c884006dc7802fc1c9d81bbf06203f70a0c

Observation 96672f8b-3b01-4c50-8255-4d6c8a97ab03 · 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 Gauge coupling beta functions to four-loop order in the Standard Model

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-01T07:03:32.431513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:03:32.431513Z digest=sha256:1c93868b2e2d70d0c83fec54e5c0495a5b22d8751b96206edab1b43974e03089

Observation 562a8371-6982-42f5-a383-3468aef8069c · inbound

Bare effective potential and Goldstone boson anti-resummation cites this paper.

Bare effective potential and Goldstone boson anti-resummation Gauge coupling beta functions to four-loop order in the Standard Model

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-08T00:29:35.788748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T00:29:35.788748Z digest=sha256:a277ddaae74cbcff15082b15c5a736b339a7474a0ba11779feae5039688d55d0