Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T11:01:31.108398Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T11:01:31.108398Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T18:57:46.725057Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T02:17:35.430256Z
65 of 65 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation adaf79e4-8430-4834-a216-ba1305f2f9be · outbound
Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work
Reference 1
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.
Observation 26b26c44-9313-4f70-9059-34e0cdd6b933 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work
Reference 2
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.
Observation c5840b50-bc66-459a-88d0-ac4feba75b62 · outbound
Reduction of $\epsilon$-expanded Feynman integrals The number of master integrals is finite
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 78d92c45-b60d-4f90-a9ec-1edfec2d3ee1 · outbound
Reduction of $\epsilon$-expanded Feynman integrals High-precision calculation of multi-loop Feynman integrals by difference equations
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 87d0edd7-f473-424b-b487-df349c250e68 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f5c4090-f34f-4584-9040-9ac730489b95 · outbound
Reduction of $\epsilon$-expanded Feynman integrals A New Algorithm For The Generation Of Unitarity-Compatible Integration By Parts Relations
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 370b1f36-5841-4eb9-8428-2c9e6852b416 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Towards a Basis for Planar Two-Loop Integrals
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 83543568-a9dc-45b8-b09d-cca8e2383163 · outbound
Reduction of $\epsilon$-expanded Feynman integrals LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56787d7e-2783-4795-8575-2010bc66e763 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Reduze 2 - Distributed Feynman Integral Reduction
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7a4a42b0-1a80-4168-bbcc-36302ef9d939 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Integration-by-parts reductions from unitarity cuts and algebraic geometry
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3b9d1d96-4d73-4d49-be5e-d95ca9ff2390 · outbound
Reduction of $\epsilon$-expanded Feynman integrals A novel approach to integration by parts reduction
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c5eb5b5-c553-4041-89cf-b604522e8ca8 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Feynman Integrals and Intersection Theory
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5a6c7392-997c-4794-9df7-8a974417ce4c · outbound
Reduction of $\epsilon$-expanded Feynman integrals Scattering amplitudes over finite fields and multivariate functional reconstruction
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e17931bf-f699-42e4-90f5-6d169e39016d · outbound
Reduction of $\epsilon$-expanded Feynman integrals Complete reduction of integrals in two-loop five-light-parton scattering amplitudes
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 24cf980f-690c-41f6-bc49-d045dc464fcb · outbound
Reduction of $\epsilon$-expanded Feynman integrals Determine Arbitrary Feynman Integrals by Vacuum Integrals
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation af59ab42-1332-4e72-9998-e4c5bc233846 · outbound
Reduction of $\epsilon$-expanded Feynman integrals FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f5697b39-cadb-472f-be7d-5223d5290469 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Reconstructing Rational Functions with $\texttt{FireFly}$
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation abe2b176-946a-4efb-bad9-eb91076ef228 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Direct reduction of multiloop multiscale scattering amplitudes
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2efb61d5-5db3-4da1-be25-41452e133b29 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 48d83346-ed7b-434b-a5c9-f56d0e1aac9c · outbound
Reduction of $\epsilon$-expanded Feynman integrals Integral Reduction with Kira 2.0 and Finite Field Methods
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 88da074c-1396-493e-b6cd-bcf4d7a731cd · outbound
Reduction of $\epsilon$-expanded Feynman integrals FIRE6: Feynman Integral REduction with Modular Arithmetic
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6609a0a0-34b0-498f-bfd0-feef6689af52 · outbound
Reduction of $\epsilon$-expanded Feynman integrals MultivariateApart: Generalized Partial Fractions
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba566468-d669-47e0-a737-3aec2d7a81a8 · outbound
Reduction of $\epsilon$-expanded Feynman integrals IBP reduction coefficients made simple
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 404ed0ac-d34e-4c30-bfcd-1c3e6380b1e2 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work
Reference 24
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.
Observation a28b4467-56ef-4c04-8008-a65a6c5113d5 · outbound
Reduction of $\epsilon$-expanded Feynman integrals pfd-parallel, a Singular/GPI-Space package for massively parallel multivariate partial fractioning
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9a784708-70e4-46a8-93a5-3960c4367099 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Dimensionally Regulated Pentagon Integrals
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2e0514cd-f393-4df6-9b95-3750f7f2bd23 · outbound
Reduction of $\epsilon$-expanded Feynman integrals ’t Hooft and M
Reference 27
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.
Observation 07f2315e-7bd3-4cec-a327-fb72a5e4e4c2 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Three-point energy correlator in $\mathcal{N}=4$ super Yang-Mills Theory
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 146206fb-2c7f-4816-b377-e592d46b6381 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Energy-energy correlations at next-to-next-to-leading order
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 262f069c-e34d-40ef-9838-ee557ccbdbe9 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work
Reference 30
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.
Observation a45a0764-c245-48e1-b061-30f0308e1a76 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2ef06caa-d32b-4395-8542-aa93203fcac6 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Altarelli and G
Reference 32
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.
Observation 2c93fe09-dd19-4944-be3b-5cd4d0818bdb · outbound
Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work
Reference 33
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.
Observation 035d8934-c1d0-4f7f-8be4-88ed86b7e8e5 · outbound
Reduction of $\epsilon$-expanded Feynman integrals A new method for calculating the soft anomalous dimension matrix for massive particle scattering
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d1e94d55-97d2-4c9d-8137-0c6d4b468651 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work
Reference 35
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.
Observation e8f63822-bda3-433d-a6b9-cd0b0471afe1 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Iterative structure of finite loop integrals
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eb52eb58-9fba-4ef7-b0d9-d61686fa3a08 · outbound
Reduction of $\epsilon$-expanded Feynman integrals The full angle-dependence of the four-loop cusp anomalous dimension in QED
Reference 37
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.
Observation 3ffa42ec-8213-4012-8169-2350ae2196b7 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Evaluation of multi-loop multi-scale Feynman integrals for precision physics
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 686f10bd-805e-4d7f-89c3-e7823fb5fe4e · outbound
Reduction of $\epsilon$-expanded Feynman integrals A quasi-finite basis for multi-loop Feynman integrals
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4085634-8d19-490d-bffa-c848d7009c92 · outbound
Reduction of $\epsilon$-expanded Feynman integrals DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9334dfd8-0163-4d30-9b04-a8bfda223ddb · outbound
Reduction of $\epsilon$-expanded Feynman integrals Feynman parameter integration through differential equations
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0c7b1ec8-62f6-462d-bfe7-4bdd7e844c86 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Evaluation of Feynman integrals with arbitrary complex masses via series expansions
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0b87423f-1bd7-44d3-b876-26d06d7852ba · outbound
Reduction of $\epsilon$-expanded Feynman integrals Kira - A Feynman Integral Reduction Program
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 69eabcc2-32f7-448d-b1d5-c2f523e9da4d · outbound
Reduction of $\epsilon$-expanded Feynman integrals Connection between Feynman integrals having different values of the space-time dimension
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f9e35d62-aeac-4669-9c61-3e73f15e4c5d · outbound
Reduction of $\epsilon$-expanded Feynman integrals A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 724893fd-c60f-43c9-86ba-af2998e0ba56 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Finite Integrals from Feynman Polytopes
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f9e4555-5867-4cd4-a64e-f0fde3f0be65 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Finite Feynman Integrals
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f9fc1805-c4f7-42b9-94e9-7f4e94555a1f · outbound
Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work
Reference 48
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.
Observation 65d19e3d-78ef-4c00-a531-4f6387a16b69 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work
Reference 49
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.
Observation 6b63524e-75c3-47b4-b418-4ec6bc7be984 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Asymptotic expansion of Feynman integrals near threshold
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c35ffd48-e671-4022-ab23-b051b13aba36 · outbound
Reduction of $\epsilon$-expanded Feynman integrals The R*-operation for Feynman graphs with generic numerators
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae4dec8a-d27e-4214-ab68-1c730bda6ef3 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work
Reference 52
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.
Observation 486f8596-8575-441d-a388-780f370c061a · outbound
Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work
Reference 53
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.
Observation 17ac65b1-0175-444e-90fe-25e5d68a0a99 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Expansion by regions: revealing potential and Glauber regions automatically
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d8459f1f-5a6a-4e34-9171-662ee8e863e2 · outbound
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
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.
Observation af366be0-c002-4d65-bc3d-9bca3166501b · outbound
Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work
Reference 56
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.
Observation 3d73b210-a102-4aee-b9f4-9fc6a81dfed5 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Removing infrared divergences from two-loop integrals
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 639af189-d793-4d90-8552-108ab540f01e · outbound
Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work
Reference 58
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.
Observation ae415be7-093c-4a49-bf70-344ec4645bea · outbound
Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work
Reference 59
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.
Observation 6b9ecb67-3b3c-4210-bd6a-754f0c7e976f · outbound
Reduction of $\epsilon$-expanded Feynman integrals Weinberg, High-energy behavior in quantum field theory, Phys
Reference 60
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.
Observation b805dbe5-20fe-4b12-afdf-e452c7b25ff9 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Unresolved cited work
Reference 61
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.
Observation b5fde03c-556e-44df-a2c7-346fc9bf34f4 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Singular 4-4-0 — A computer algebra system for polynomial computations
Reference 62
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.
Observation c4d32127-1046-4544-8bce-caf0e4183675 · outbound
Reduction of $\epsilon$-expanded Feynman integrals Level" -> n,
Reference 63
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.
Observation c1b5fa01-debc-433d-ac56-fe653900e101 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1315d8f-9311-4aaa-b6bc-db697f54a56c · outbound
Reduction of $\epsilon$-expanded Feynman integrals Blade: A package for block-triangular form improved Feynman integrals decomposition
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4bfcaa7d-3586-43d5-b367-b2fe91799431 · inbound
All planar three-loop Feynman integrals for the production of two vector bosons at hadron colliders Reduction of $\epsilon$-expanded Feynman integrals
Reference 120
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 044839b7-5966-485c-8723-62b704ec70b6 · inbound
Finite Massless Pentaboxes Reduction of $\epsilon$-expanded Feynman integrals
Reference 9
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.