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Paper Citation Record · LEDGER

Reduction of $\epsilon$-expanded Feynman integrals

As of 17 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 2 inbound Pith citation observations for arXiv:2504.16766.

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

pith.paper-citation-record.v1
2504.16766 v1

Coverage vector

measured 65 of 65 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:01:31.108398Z

measured 67 of 67 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T18:57:46.725057Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T02:17:35.430256Z

Reference resolution

65 of 65 outbound references displayed

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  • verified fuzzy6
  • unresolved58
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External citation measurements

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Outbound references

Observation adaf79e4-8430-4834-a216-ba1305f2f9be · outbound

This paper cites an unresolved cited work.

Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work

Reference 1

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Observation 26b26c44-9313-4f70-9059-34e0cdd6b933 · outbound

This paper cites an unresolved cited work.

Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work

Reference 2

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Observation c5840b50-bc66-459a-88d0-ac4feba75b62 · outbound

This paper cites The number of master integrals is finite.

Reduction of $\epsilon$-expanded Feynman integrals The number of master integrals is finite

Reference 3

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Observation 78d92c45-b60d-4f90-a9ec-1edfec2d3ee1 · outbound

This paper cites High-precision calculation of multi-loop Feynman integrals by difference equations.

Reduction of $\epsilon$-expanded Feynman integrals High-precision calculation of multi-loop Feynman integrals by difference equations

Reference 4

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Observation 87d0edd7-f473-424b-b487-df349c250e68 · outbound

This paper cites an unresolved cited work.

Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work

Reference 5

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Observation 9f5c4090-f34f-4584-9040-9ac730489b95 · outbound

This paper cites A New Algorithm For The Generation Of Unitarity-Compatible Integration By Parts Relations.

Reduction of $\epsilon$-expanded Feynman integrals A New Algorithm For The Generation Of Unitarity-Compatible Integration By Parts Relations

Reference 6

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Observation 370b1f36-5841-4eb9-8428-2c9e6852b416 · outbound

This paper cites Towards a Basis for Planar Two-Loop Integrals.

Reduction of $\epsilon$-expanded Feynman integrals Towards a Basis for Planar Two-Loop Integrals

Reference 7

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Observation 83543568-a9dc-45b8-b09d-cca8e2383163 · outbound

This paper cites LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals.

Reduction of $\epsilon$-expanded Feynman integrals LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals

Reference 8

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Observation 56787d7e-2783-4795-8575-2010bc66e763 · outbound

This paper cites Reduze 2 - Distributed Feynman Integral Reduction.

Reduction of $\epsilon$-expanded Feynman integrals Reduze 2 - Distributed Feynman Integral Reduction

Reference 9

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Observation 7a4a42b0-1a80-4168-bbcc-36302ef9d939 · outbound

This paper cites Integration-by-parts reductions from unitarity cuts and algebraic geometry.

Reduction of $\epsilon$-expanded Feynman integrals Integration-by-parts reductions from unitarity cuts and algebraic geometry

Reference 10

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Observation 3b9d1d96-4d73-4d49-be5e-d95ca9ff2390 · outbound

This paper cites A novel approach to integration by parts reduction.

Reduction of $\epsilon$-expanded Feynman integrals A novel approach to integration by parts reduction

Reference 11

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Observation 4c5eb5b5-c553-4041-89cf-b604522e8ca8 · outbound

This paper cites Feynman Integrals and Intersection Theory.

Reduction of $\epsilon$-expanded Feynman integrals Feynman Integrals and Intersection Theory

Reference 12

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Observation 5a6c7392-997c-4794-9df7-8a974417ce4c · outbound

This paper cites Scattering amplitudes over finite fields and multivariate functional reconstruction.

Reduction of $\epsilon$-expanded Feynman integrals Scattering amplitudes over finite fields and multivariate functional reconstruction

Reference 13

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Observation e17931bf-f699-42e4-90f5-6d169e39016d · outbound

This paper cites Complete reduction of integrals in two-loop five-light-parton scattering amplitudes.

Reduction of $\epsilon$-expanded Feynman integrals Complete reduction of integrals in two-loop five-light-parton scattering amplitudes

Reference 14

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Observation 24cf980f-690c-41f6-bc49-d045dc464fcb · outbound

This paper cites Determine Arbitrary Feynman Integrals by Vacuum Integrals.

Reduction of $\epsilon$-expanded Feynman integrals Determine Arbitrary Feynman Integrals by Vacuum Integrals

Reference 15

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Observation af59ab42-1332-4e72-9998-e4c5bc233846 · outbound

This paper cites FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs.

Reduction of $\epsilon$-expanded Feynman integrals FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs

Reference 16

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Observation f5697b39-cadb-472f-be7d-5223d5290469 · outbound

This paper cites Reconstructing Rational Functions with $\texttt{FireFly}$.

Reduction of $\epsilon$-expanded Feynman integrals Reconstructing Rational Functions with $\texttt{FireFly}$

Reference 17

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Observation abe2b176-946a-4efb-bad9-eb91076ef228 · outbound

This paper cites Direct reduction of multiloop multiscale scattering amplitudes.

Reduction of $\epsilon$-expanded Feynman integrals Direct reduction of multiloop multiscale scattering amplitudes

Reference 18

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Observation 2efb61d5-5db3-4da1-be25-41452e133b29 · outbound

This paper cites Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers.

Reduction of $\epsilon$-expanded Feynman integrals Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers

Reference 19

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Observation 48d83346-ed7b-434b-a5c9-f56d0e1aac9c · outbound

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

Reduction of $\epsilon$-expanded Feynman integrals Integral Reduction with Kira 2.0 and Finite Field Methods

Reference 20

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Observation 88da074c-1396-493e-b6cd-bcf4d7a731cd · outbound

This paper cites FIRE6: Feynman Integral REduction with Modular Arithmetic.

Reduction of $\epsilon$-expanded Feynman integrals FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 21

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Observation 6609a0a0-34b0-498f-bfd0-feef6689af52 · outbound

This paper cites MultivariateApart: Generalized Partial Fractions.

Reduction of $\epsilon$-expanded Feynman integrals MultivariateApart: Generalized Partial Fractions

Reference 22

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Reduction of $\epsilon$-expanded Feynman integrals IBP reduction coefficients made simple

Reference 23

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Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work

Reference 24

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Observation a28b4467-56ef-4c04-8008-a65a6c5113d5 · outbound

This paper cites pfd-parallel, a Singular/GPI-Space package for massively parallel multivariate partial fractioning.

Reduction of $\epsilon$-expanded Feynman integrals pfd-parallel, a Singular/GPI-Space package for massively parallel multivariate partial fractioning

Reference 25

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Observation 9a784708-70e4-46a8-93a5-3960c4367099 · outbound

This paper cites Dimensionally Regulated Pentagon Integrals.

Reduction of $\epsilon$-expanded Feynman integrals Dimensionally Regulated Pentagon Integrals

Reference 26

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This paper cites ’t Hooft and M.

Reduction of $\epsilon$-expanded Feynman integrals ’t Hooft and M

Reference 27

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Observation 07f2315e-7bd3-4cec-a327-fb72a5e4e4c2 · outbound

This paper cites Three-point energy correlator in $\mathcal{N}=4$ super Yang-Mills Theory.

Reduction of $\epsilon$-expanded Feynman integrals Three-point energy correlator in $\mathcal{N}=4$ super Yang-Mills Theory

Reference 28

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Observation 146206fb-2c7f-4816-b377-e592d46b6381 · outbound

This paper cites Energy-energy correlations at next-to-next-to-leading order.

Reduction of $\epsilon$-expanded Feynman integrals Energy-energy correlations at next-to-next-to-leading order

Reference 29

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Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work

Reference 30

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This paper cites The Collinear Limit of the Four-Point Energy Correlator in $\mathcal{N} = 4$ Super Yang-Mills Theory.

Reduction of $\epsilon$-expanded Feynman integrals The Collinear Limit of the Four-Point Energy Correlator in $\mathcal{N} = 4$ Super Yang-Mills Theory

Reference 31

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Observation 2ef06caa-d32b-4395-8542-aa93203fcac6 · outbound

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Reduction of $\epsilon$-expanded Feynman integrals Altarelli and G

Reference 32

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Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work

Reference 33

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Observation 035d8934-c1d0-4f7f-8be4-88ed86b7e8e5 · outbound

This paper cites A new method for calculating the soft anomalous dimension matrix for massive particle scattering.

Reduction of $\epsilon$-expanded Feynman integrals A new method for calculating the soft anomalous dimension matrix for massive particle scattering

Reference 34

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Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work

Reference 35

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Observation e8f63822-bda3-433d-a6b9-cd0b0471afe1 · outbound

This paper cites Iterative structure of finite loop integrals.

Reduction of $\epsilon$-expanded Feynman integrals Iterative structure of finite loop integrals

Reference 36

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Observation eb52eb58-9fba-4ef7-b0d9-d61686fa3a08 · outbound

This paper cites The full angle-dependence of the four-loop cusp anomalous dimension in QED.

Reduction of $\epsilon$-expanded Feynman integrals The full angle-dependence of the four-loop cusp anomalous dimension in QED

Reference 37

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Observation 3ffa42ec-8213-4012-8169-2350ae2196b7 · outbound

This paper cites Evaluation of multi-loop multi-scale Feynman integrals for precision physics.

Reduction of $\epsilon$-expanded Feynman integrals Evaluation of multi-loop multi-scale Feynman integrals for precision physics

Reference 38

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Observation 686f10bd-805e-4d7f-89c3-e7823fb5fe4e · outbound

This paper cites A quasi-finite basis for multi-loop Feynman integrals.

Reduction of $\epsilon$-expanded Feynman integrals A quasi-finite basis for multi-loop Feynman integrals

Reference 39

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source=pdf_text observed=2026-08-16T11:01:31.007322Z digest=sha256:31aa389551dbab523833a883d04d17b0be9edbd0d974311e3a2e408a34a87df0

Observation e4085634-8d19-490d-bffa-c848d7009c92 · outbound

This paper cites DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions.

Reduction of $\epsilon$-expanded Feynman integrals DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions

Reference 40

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source=pdf_text observed=2026-08-16T11:01:31.018365Z digest=sha256:eeb23e289fef79467246a51f5e792bf00c5781458825582130583fbf47a4e82e

Observation 9334dfd8-0163-4d30-9b04-a8bfda223ddb · outbound

This paper cites Feynman parameter integration through differential equations.

Reduction of $\epsilon$-expanded Feynman integrals Feynman parameter integration through differential equations

Reference 41

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source=pdf_text observed=2026-08-16T11:01:31.014416Z digest=sha256:47577f440258ce066794ea84c008b10ce5c2f7e73a11476f6e8c7fd223771d23

Observation 0c7b1ec8-62f6-462d-bfe7-4bdd7e844c86 · outbound

This paper cites Evaluation of Feynman integrals with arbitrary complex masses via series expansions.

Reduction of $\epsilon$-expanded Feynman integrals Evaluation of Feynman integrals with arbitrary complex masses via series expansions

Reference 42

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source=pdf_text observed=2026-08-16T11:01:31.026830Z digest=sha256:940da9cc5d792fa3727265dc32732677d148e32188c956e12c3f6a45b564febc

Observation 0b87423f-1bd7-44d3-b876-26d06d7852ba · outbound

This paper cites Kira - A Feynman Integral Reduction Program.

Reduction of $\epsilon$-expanded Feynman integrals Kira - A Feynman Integral Reduction Program

Reference 43

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source=pdf_text observed=2026-08-16T11:01:31.022649Z digest=sha256:cedf38bd51088f87bd19954ca4d62197540649a930ed472e84ac7b650c0ae6ea

Observation 69eabcc2-32f7-448d-b1d5-c2f523e9da4d · outbound

This paper cites Connection between Feynman integrals having different values of the space-time dimension.

Reduction of $\epsilon$-expanded Feynman integrals Connection between Feynman integrals having different values of the space-time dimension

Reference 44

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source=pdf_text observed=2026-08-16T11:01:31.034954Z digest=sha256:932ed3f2ad656fa8221675155a5a983ea955b12515b3cfa2ff469d2bc9dce351

Observation f9e35d62-aeac-4669-9c61-3e73f15e4c5d · outbound

This paper cites A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec.

Reduction of $\epsilon$-expanded Feynman integrals A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec

Reference 45

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source=pdf_text observed=2026-08-16T11:01:31.030616Z digest=sha256:53287cc5c76dd6bd8d55b14d2a18c37936cf0641669a447f7147dc6047ba3743

Observation 724893fd-c60f-43c9-86ba-af2998e0ba56 · outbound

This paper cites Finite Integrals from Feynman Polytopes.

Reduction of $\epsilon$-expanded Feynman integrals Finite Integrals from Feynman Polytopes

Reference 46

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source=pdf_text observed=2026-08-16T11:01:31.043810Z digest=sha256:257418d0d081abd093aee47cec9fa230495a464a49f594c01fb7a9d406e863c5

Observation 1f9e4555-5867-4cd4-a64e-f0fde3f0be65 · outbound

This paper cites Finite Feynman Integrals.

Reduction of $\epsilon$-expanded Feynman integrals Finite Feynman Integrals

Reference 47

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source=pdf_text observed=2026-08-16T11:01:31.039085Z digest=sha256:2b8ca1eb039d9ac2bc60044c7c8a25c964d439eda7e09cac8749e977c13e7525

Observation f9fc1805-c4f7-42b9-94e9-7f4e94555a1f · outbound

This paper cites an unresolved cited work.

Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work

Reference 48

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Observation 65d19e3d-78ef-4c00-a531-4f6387a16b69 · outbound

This paper cites an unresolved cited work.

Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work

Reference 49

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source=pdf_text observed=2026-08-16T11:01:31.047887Z digest=sha256:f7669af6f1d9317b0177268d6dbf4ef1d4c04b1bd476bbc9165347758ee01ec2

Observation 6b63524e-75c3-47b4-b418-4ec6bc7be984 · outbound

This paper cites Asymptotic expansion of Feynman integrals near threshold.

Reduction of $\epsilon$-expanded Feynman integrals Asymptotic expansion of Feynman integrals near threshold

Reference 50

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source=pdf_text observed=2026-08-16T11:01:31.060119Z digest=sha256:b87c8b2927840d6b42a5590f393c76b6a8fdfeb2c5838da25ddbc6064e331316

Observation c35ffd48-e671-4022-ab23-b051b13aba36 · outbound

This paper cites The R*-operation for Feynman graphs with generic numerators.

Reduction of $\epsilon$-expanded Feynman integrals The R*-operation for Feynman graphs with generic numerators

Reference 51

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source=pdf_text observed=2026-08-16T11:01:31.056072Z digest=sha256:1fd444bcca1c2c0fb637f7b1b1d3c33659031ee9c11c21f4d79e89251ec09e74

Observation ae4dec8a-d27e-4214-ab68-1c730bda6ef3 · outbound

This paper cites an unresolved cited work.

Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work

Reference 52

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source=pdf_text observed=2026-08-16T11:01:31.068355Z digest=sha256:8c69ccf9196e10df1519d76f5ee58aadfbec9ebd430377ab8fa1772ae5f0b9bf

Observation 486f8596-8575-441d-a388-780f370c061a · outbound

This paper cites an unresolved cited work.

Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work

Reference 53

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:01:31.064586Z digest=sha256:9e9c422237e15be624be3af06d9537c129aaf06310db1d06478a7f2a772042d5

Observation 17ac65b1-0175-444e-90fe-25e5d68a0a99 · outbound

This paper cites Expansion by regions: revealing potential and Glauber regions automatically.

Reduction of $\epsilon$-expanded Feynman integrals Expansion by regions: revealing potential and Glauber regions automatically

Reference 54

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source=pdf_text observed=2026-08-16T11:01:31.075861Z digest=sha256:d02d477cdda12c33dc3046bdc747fc7265533bee816609c317bb85d784d623ee

Observation d8459f1f-5a6a-4e34-9171-662ee8e863e2 · outbound

This paper cites Nakanishi, Ordinary and anomalous thresholds in perturbation theory, Progress of Theoretical Physics 22 (07, 1959) 128–144.

Reduction of $\epsilon$-expanded Feynman integrals Nakanishi, Ordinary and anomalous thresholds in perturbation theory, Progress of Theoretical Physics 22 (07, 1959) 128–144

Reference 55

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source=pdf_text observed=2026-08-16T11:01:31.072238Z digest=sha256:972ff240b6c1f6411bea196a02b2659eba2ea2c1bc144ec54c822b50958a2324

Observation af366be0-c002-4d65-bc3d-9bca3166501b · outbound

This paper cites an unresolved cited work.

Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work

Reference 56

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:01:31.083170Z digest=sha256:7fe80401529f666fa4426eb278312318525459de810953af188b1059462a2345

Observation 3d73b210-a102-4aee-b9f4-9fc6a81dfed5 · outbound

This paper cites Removing infrared divergences from two-loop integrals.

Reduction of $\epsilon$-expanded Feynman integrals Removing infrared divergences from two-loop integrals

Reference 57

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source=pdf_text observed=2026-08-16T11:01:31.079432Z digest=sha256:75fe5c10a6af7dde77354343605a2f9bfd2fd58ad04e6e3d6e516db38e5ff24a

Observation 639af189-d793-4d90-8552-108ab540f01e · outbound

This paper cites an unresolved cited work.

Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work

Reference 58

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:01:31.090870Z digest=sha256:b380aca4df00191943469361e0adf5d6998deb0636ec156a66ce1ef036b74da5

Observation ae415be7-093c-4a49-bf70-344ec4645bea · outbound

This paper cites an unresolved cited work.

Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work

Reference 59

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:01:31.087141Z digest=sha256:2ad11c74288a2fe129b7c4ef24c3a5aa487ee5959dd03686613e7cba60dd4e83

Observation 6b9ecb67-3b3c-4210-bd6a-754f0c7e976f · outbound

This paper cites Weinberg, High-energy behavior in quantum field theory, Phys.

Reduction of $\epsilon$-expanded Feynman integrals Weinberg, High-energy behavior in quantum field theory, Phys

Reference 60

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source=pdf_text observed=2026-08-16T11:01:31.097879Z digest=sha256:c9d62a30bc00d0ff8d710a5a173963e0cb1eea6daad97b41099ed648b50e45c4

Observation b805dbe5-20fe-4b12-afdf-e452c7b25ff9 · outbound

This paper cites an unresolved cited work.

Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work

Reference 61

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:01:31.094400Z digest=sha256:9910ac91b11153f3ad092c90f76ef1d784f5a41ee11b9adf1a056175e9f2cc7c

Observation b5fde03c-556e-44df-a2c7-346fc9bf34f4 · outbound

This paper cites Singular 4-4-0 — A computer algebra system for polynomial computations.

Reduction of $\epsilon$-expanded Feynman integrals Singular 4-4-0 — A computer algebra system for polynomial computations

Reference 62

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source=pdf_text observed=2026-08-16T11:01:31.104822Z digest=sha256:10f5d6005d759aad6bcf188cda85c0524cbb521f553ea23e2edb290e5100ddbe

Observation c4d32127-1046-4544-8bce-caf0e4183675 · outbound

This paper cites Level" -> n,.

Reduction of $\epsilon$-expanded Feynman integrals Level" -> n,

Reference 63

Resolution
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raw_fallback, observed 2026-08-16T11:01:31.873094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:01:30.867842Z digest=sha256:2f42d6e77cfee2168a01fc99a72b48ab81ea5b34c01d4f0293ca29bf734603be

Observation c1b5fa01-debc-433d-ac56-fe653900e101 · outbound

This paper cites Space-time dimensionality D as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to D.

Reduction of $\epsilon$-expanded Feynman integrals Space-time dimensionality D as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to D

Reference 64

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source=pdf_text observed=2026-08-16T11:01:31.101313Z digest=sha256:8bbda0999aa88097449d750b66f563e7981152ceeda3d3043c894aa1d6a83544

Observation e1315d8f-9311-4aaa-b6bc-db697f54a56c · outbound

This paper cites Blade: A package for block-triangular form improved Feynman integrals decomposition.

Reduction of $\epsilon$-expanded Feynman integrals Blade: A package for block-triangular form improved Feynman integrals decomposition

Reference 65

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source=pdf_text observed=2026-08-16T11:01:31.108398Z digest=sha256:2bd5010bb8cff4efa1bbedab8edbf36fe75be0037ab251f37f7e58bb40013fa9

Pith citing papers

Observation 4bfcaa7d-3586-43d5-b367-b2fe91799431 · inbound

All planar three-loop Feynman integrals for the production of two vector bosons at hadron colliders cites this paper.

All planar three-loop Feynman integrals for the production of two vector bosons at hadron colliders Reduction of $\epsilon$-expanded Feynman integrals

Reference 120

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source=pdf_text observed=2026-08-03T18:57:46.725057Z digest=sha256:15d399216abbae4cd354baedf1e25fa627ddcf5f9ca849d1814f23e54cdb6122

Observation 044839b7-5966-485c-8723-62b704ec70b6 · inbound

Finite Massless Pentaboxes cites this paper.

Finite Massless Pentaboxes Reduction of $\epsilon$-expanded Feynman integrals

Reference 9

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arxiv_id, observed 2026-07-03T02:17:35.431882Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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