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Paper Citation Record · LEDGER

A practical criterion of irreducibility of multi--loop Feynman integrals

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:hep-ph/0507053.

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

pith.paper-citation-record.v1
hep-ph/0507053 v2

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 2026-08-19T06:32:44.657259+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:30:07.328724Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

75
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation a50c10e6-7dcd-4ec2-8db3-533d41619029 · inbound

The two-loop fully differential soft function for $Q\bar{Q}V$ production at lepton colliders cites this paper.

The two-loop fully differential soft function for $Q\bar{Q}V$ production at lepton colliders A practical criterion of irreducibility of multi--loop Feynman integrals

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-12T16:30:07.328724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:30:07.328724Z digest=sha256:968d8b0b654787d92e0e53027d4d3aa3a4cc6f4ed4ea8381c22b0fa4d13461d8

Observation 7825df6f-09f7-473b-b7de-687a4f417355 · inbound

Tame multi-leg Feynman integrals beyond one loop cites this paper.

Tame multi-leg Feynman integrals beyond one loop A practical criterion of irreducibility of multi--loop Feynman integrals

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-10T23:12:14.315008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:12:14.315008Z digest=sha256:d1f6a04c80da273a81028dfe6b0b2f368eb7a1e4af0ef0bf80cdcfe386ba5f22

Observation 2644c6c1-2eea-4098-9d1c-db6548cf9c96 · inbound

On the spanning cuts consistency problem in the IBP reductions of Feynman integrals cites this paper.

On the spanning cuts consistency problem in the IBP reductions of Feynman integrals A practical criterion of irreducibility of multi--loop Feynman integrals

Reference 85

Resolution
verified exact
local_arxiv, observed 2026-06-28T13:42:16.200638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:9ac2ac5a1f8f71ba2a08b760ba6d33dd08b073f225e3dda01f10924843c22725

Observation 4ad9eafc-eb6c-439d-b8a2-e69de9b02875 · inbound

Landau's Leviathans cites this paper.

Landau's Leviathans A practical criterion of irreducibility of multi--loop Feynman integrals

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-06-30T03:04:14.561338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T01:50:25.042094Z digest=sha256:9a206ed301fdc1fd589dc8f07d5232b56449058ed392ec441dcdc328edea1d06