Paper Citation Record · LEDGER

Four-Loop Decoupling Relations for the Strong Coupling

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:hep-ph/0512058.

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

pith.paper-citation-record.v1
hep-ph/0512058 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 2026-08-09T06:31:02.800959+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:53:11.418014Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-01T15:55:49.072453Z

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 926cebd4-6c1c-4988-bd58-068d31b6a43f · inbound

Assessing the sensitivity of Energy-Energy Correlations in $e^+e^-$ annihilation to TMD dynamics cites this paper.

Assessing the sensitivity of Energy-Energy Correlations in $e^+e^-$ annihilation to TMD dynamics Four-Loop Decoupling Relations for the Strong Coupling

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-06T14:53:11.418014Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f35fbed0-6bb3-4508-a729-6b11ecbdf5fe · inbound

Fully differential Higgs boson pair production at N$^3$LO with top quark mass effects cites this paper.

Fully differential Higgs boson pair production at N$^3$LO with top quark mass effects Four-Loop Decoupling Relations for the Strong Coupling

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-03T07:40:52.535642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eab3cf5e-0933-4d45-8b92-b6b8dc1ffd41 · inbound

Smooth Threshold Effects from Dimensional Regularization cites this paper.

Smooth Threshold Effects from Dimensional Regularization Four-Loop Decoupling Relations for the Strong Coupling

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-11T21:16:31.515580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 89c64b61-9ea6-4de9-9bf8-c3e1d5adc9c6 · inbound

Soft Contributions Stabilize NNLO QCD Corrections to Quarkonium Production and Decay cites this paper.

Soft Contributions Stabilize NNLO QCD Corrections to Quarkonium Production and Decay Four-Loop Decoupling Relations for the Strong Coupling

Reference 37

Resolution: metadata mismatch; local_arxiv, observed 2026-07-01T15:55:49.073578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.