Paper Citation Record · LEDGER

Automatic Integral Reduction for Higher Order Perturbative Calculations

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 inbound Pith citation observations for arXiv:hep-ph/0404258.

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

pith.paper-citation-record.v1
hep-ph/0404258 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 14 of 14 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 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:01:49.194871Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T06:47:43.381677Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
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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 c57a68d3-c78b-490d-a123-3521e45758af · inbound

Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics cites this paper.

Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics Automatic Integral Reduction for Higher Order Perturbative Calculations

Reference 112

Resolution: unresolved; no resolver link, observed 2026-08-14T11:01:49.194871Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15f9972d-d845-4d5f-8f1a-48a4635d21b5 · inbound

Integral Reduction with Kira 2.0 and Finite Field Methods cites this paper.

Integral Reduction with Kira 2.0 and Finite Field Methods Automatic Integral Reduction for Higher Order Perturbative Calculations

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-05-18T00:11:26.126310Z

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.

Observation 3e26f54b-f211-471c-b472-d3e224edf9e2 · inbound

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

Tame multi-leg Feynman integrals beyond one loop Automatic Integral Reduction for Higher Order Perturbative Calculations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-10T23:12:14.203618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e56e89a-e91c-49ed-bcbb-48a74b57b48a · inbound

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function cites this paper.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Automatic Integral Reduction for Higher Order Perturbative Calculations

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.610620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f45d255-3f36-4ab8-a96e-214c664ace30 · inbound

Refining Integration-by-Parts Reduction of Feynman Integrals with Machine Learning cites this paper.

Refining Integration-by-Parts Reduction of Feynman Integrals with Machine Learning Automatic Integral Reduction for Higher Order Perturbative Calculations

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-08T20:15:03.729031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b747f3a-b8f8-4dd9-a9a1-b6aa008a218e · inbound

Explainable AI-assisted Optimization for Feynman Integral Reduction cites this paper.

Explainable AI-assisted Optimization for Feynman Integral Reduction Automatic Integral Reduction for Higher Order Perturbative Calculations

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T21:11:56.341309Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac9d64aa-696c-4eb3-83d8-3c72dcd0ef81 · inbound

Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist cites this paper.

Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist Automatic Integral Reduction for Higher Order Perturbative Calculations

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-05-22T20:25:05.608130Z

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.

Observation a9522a15-deee-47d5-9824-432244252354 · inbound

Kira 3: integral reduction with efficient seeding and optimized equation selection cites this paper.

Kira 3: integral reduction with efficient seeding and optimized equation selection Automatic Integral Reduction for Higher Order Perturbative Calculations

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T14:03:49.624264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e718437-6c7c-41db-a348-3ddbad5d2e24 · inbound

Tensor Reduction of Sunset by Generating Function cites this paper.

Tensor Reduction of Sunset by Generating Function Automatic Integral Reduction for Higher Order Perturbative Calculations

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T15:44:58.026349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 075b3f8d-a767-457b-8865-88ce9e2f6bc0 · inbound

Feynman integral reduction by covariant differentiation cites this paper.

Feynman integral reduction by covariant differentiation Automatic Integral Reduction for Higher Order Perturbative Calculations

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-11T08:40:58.483752Z

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.

Observation 3051d1e8-56e8-4d2b-832f-012b79ecaeb4 · inbound

SIRENA -- Sum-Integral REductioN Algorithm cites this paper.

SIRENA -- Sum-Integral REductioN Algorithm Automatic Integral Reduction for Higher Order Perturbative Calculations

Reference 79

Resolution: verified exact; arxiv_id, observed 2026-05-11T05:05:58.219419Z

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.

Observation a280f781-41cc-49a3-b3cc-733d3ddf8cf2 · inbound

Numerical analytical continuation of multivariate hypergeometric functions cites this paper.

Numerical analytical continuation of multivariate hypergeometric functions Automatic Integral Reduction for Higher Order Perturbative Calculations

Reference 64

Resolution: verified exact; local_arxiv, observed 2026-06-28T20:12:38.151627Z

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.

Observation 95759239-15b8-4721-81e1-6956a2390c45 · 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 Automatic Integral Reduction for Higher Order Perturbative Calculations

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-06-28T13:42:16.154768Z

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.

Observation 496b6732-3723-4361-9ded-ad09a9c6f294 · inbound

Efficient AI-Inspired Reduction of Feynman Integrals via Tube Seeding cites this paper.

Efficient AI-Inspired Reduction of Feynman Integrals via Tube Seeding Automatic Integral Reduction for Higher Order Perturbative Calculations

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-07-03T06:47:43.382847Z

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.