Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T15:45:03.441746Z
Paper Citation Record · LEDGER
As of 18 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 3 inbound Pith citation observations for arXiv:2509.18730.
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 2026-08-04T15:45:03.441746Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-27T12:28:49.796094Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T06:47:43.399259Z
55 of 55 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 0966b566-5100-4331-abcb-d96903333017 · outbound
Tensor Reduction of Sunset by Generating Function Unresolved cited work
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c40842f-7357-4c1a-92d5-debd572aa10a · outbound
Tensor Reduction of Sunset by Generating Function Feynman Integrals
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a1a08e0c-b6ed-4e96-81f6-e7e64a4bf7c8 · outbound
Tensor Reduction of Sunset by Generating Function Unresolved cited work
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f1081241-667b-4e45-b3e4-01f513972ca4 · outbound
Tensor Reduction of Sunset by Generating Function Unresolved cited work
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2047cd75-82c0-4d85-8a96-2b2803e1bc89 · outbound
Tensor Reduction of Sunset by Generating Function Passarino and M
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b3f3f1ab-8f4b-4f8d-952d-977feb498020 · outbound
Tensor Reduction of Sunset by Generating Function Reducing full one-loop amplitudes to scalar integrals at the integrand level
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 36f9cc85-130c-4d5c-b363-00a669010e41 · outbound
Tensor Reduction of Sunset by Generating Function CutTools: a program implementing the OPP reduction method to compute one-loop amplitudes
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c6d4eac-97ac-4963-9045-b645a9ad1c50 · outbound
Tensor Reduction of Sunset by Generating Function One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cedf2e75-8b2c-4d07-92dd-259c37f47537 · outbound
Tensor Reduction of Sunset by Generating Function Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 61dec000-3e9e-4829-a9ea-a0564c506d28 · outbound
Tensor Reduction of Sunset by Generating Function D-dimensional unitarity cut method
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 853cec5f-7d3a-4ffd-b886-e2c84fd36734 · outbound
Tensor Reduction of Sunset by Generating Function Unitarity Cuts with Massive Propagators and Algebraic Expressions for Coefficients
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 69d0f6bf-33b4-46a9-bb8a-7733340f94a3 · outbound
Tensor Reduction of Sunset by Generating Function A Systematic and Efficient Method to Compute Multi-loop Master Integrals
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d3fe50d9-8be5-41d4-81e1-3fa18de47fd0 · outbound
Tensor Reduction of Sunset by Generating Function Automatic computation of Feynman integrals containing linear propagators via auxiliary mass flow
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 43d9bab1-1f72-498d-8aec-375237b24ee0 · outbound
Tensor Reduction of Sunset by Generating Function Hepta-Cuts of Two-Loop Scattering Amplitudes
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4f6e0435-2c74-43c4-919b-248115708366 · outbound
Tensor Reduction of Sunset by Generating Function Integrand-Level Reduction of Loop Amplitudes by Computational Algebraic Geometry Methods
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 09d549c2-d666-4c4e-b59b-7675393c0a6f · outbound
Tensor Reduction of Sunset by Generating Function Integration-by-parts reductions from unitarity cuts and algebraic geometry
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eadde74b-489d-45c7-b140-1b7909d4afbb · outbound
Tensor Reduction of Sunset by Generating Function High-precision calculation of multi-loop Feynman integrals by difference equations
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9e718437-6c7c-41db-a348-3ddbad5d2e24 · outbound
Tensor Reduction of Sunset by Generating Function Automatic Integral Reduction for Higher Order Perturbative Calculations
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d1ca64c0-ee47-42b3-824c-bc5d0d08f77d · outbound
Tensor Reduction of Sunset by Generating Function LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 15f4fc28-a889-4e28-83f6-2d1e3ece01d9 · outbound
Tensor Reduction of Sunset by Generating Function FIRE6: Feynman Integral REduction with Modular Arithmetic
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 73bba344-c49c-477b-a609-a97e82d325f8 · outbound
Tensor Reduction of Sunset by Generating Function FIRE 6.5: Feynman Integral Reduction with New Simplification Library
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0a103c16-22f1-49fd-86d3-ba955fc064d5 · outbound
Tensor Reduction of Sunset by Generating Function Reduze 2 - Distributed Feynman Integral Reduction
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8b09dba6-5bf5-42b7-aca1-7cba0413d2e3 · outbound
Tensor Reduction of Sunset by Generating Function Kira - A Feynman Integral Reduction Program
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 712ae6bf-7f9e-4883-8958-297933eedc3e · outbound
Tensor Reduction of Sunset by Generating Function Integral Reduction with Kira 2.0 and Finite Field Methods
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4cb4aec1-ab2f-4d13-b8c2-939f51d5b1ff · outbound
Tensor Reduction of Sunset by Generating Function Forcer, a FORM program for the parametric reduction of four-loop massless propagator diagrams
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3cc7d53b-3790-4ec3-9cb3-7f18e3c29dde · outbound
Tensor Reduction of Sunset by Generating Function FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 10048496-1923-4a91-b3df-ff10a44eefcd · outbound
Tensor Reduction of Sunset by Generating Function NeatIBP 1.0, A package generating small-size integration-by-parts relations for Feynman integrals
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9cf84f98-064f-4188-b3af-97618048554c · outbound
Tensor Reduction of Sunset by Generating Function Blade: A package for block-triangular form improved Feynman integrals decomposition
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 41ff5889-7d05-4e7d-abb7-767eecbbf072 · outbound
Tensor Reduction of Sunset by Generating Function Semi-automatic Calculations of Multi-loop Feynman Amplitudes with AmpRed
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0a946f3f-b602-455c-bb32-fe18a5eff828 · outbound
Tensor Reduction of Sunset by Generating Function A novel approach to integration by parts reduction
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 75d7bb79-5eec-404c-9a88-9aa95d4c865a · outbound
Tensor Reduction of Sunset by Generating Function Scattering amplitudes over finite fields and multivariate functional reconstruction
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4d8507f4-64e7-4811-9fd5-1f3853e06e01 · outbound
Tensor Reduction of Sunset by Generating Function Determine Arbitrary Feynman Integrals by Vacuum Integrals
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d78d5810-3ac3-453c-b156-037d5a9cad7d · outbound
Tensor Reduction of Sunset by Generating Function Complete reduction of integrals in two-loop five-light-parton scattering amplitudes
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84d5c82e-55c0-4d9a-87a5-0d8da807326b · outbound
Tensor Reduction of Sunset by Generating Function Refining Integration-by-Parts Reduction of Feynman Integrals with Machine Learning
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 47cbf4c4-b579-4b4e-b072-712c76ed6d5d · outbound
Tensor Reduction of Sunset by Generating Function Explainable AI-assisted Optimization for Feynman Integral Reduction
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca6f1ddd-e8ad-4066-b5b4-afa44be4079e · outbound
Tensor Reduction of Sunset by Generating Function Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 37251a2b-98aa-497d-8377-aa6374c2f9f5 · outbound
Tensor Reduction of Sunset by Generating Function Direct Solution of Integration-by-Parts Systems
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e186e98b-cf35-45c5-8416-6a2caadf5f58 · outbound
Tensor Reduction of Sunset by Generating Function Generation Function For One-loop Tensor Reduction
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c68a0fe8-9afa-4390-bdd1-5844d3397496 · outbound
Tensor Reduction of Sunset by Generating Function Exploring the linear space of Feynman integrals via generating functions
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0cffef9b-2d0c-46b1-8d59-273e0ee2324e · outbound
Tensor Reduction of Sunset by Generating Function An Explicit Expression of Generating Function for One-Loop Tensor Reduction
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a238e6f5-70c9-4e0b-a6e0-7f77dc020d31 · outbound
Tensor Reduction of Sunset by Generating Function Solving arbitrary one-loop reduction via generating function
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ecf52f50-121c-4e4d-81d8-74d1a65865c8 · outbound
Tensor Reduction of Sunset by Generating Function General One-loop Generating Function by IBP relations
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3bfc30f1-77d2-4340-8610-e519bc0d7966 · outbound
Tensor Reduction of Sunset by Generating Function Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 829c8407-dbc3-4582-a298-47e689aa13da · outbound
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9bf198f9-82fd-4cad-bf46-af325ab55a86 · outbound
Tensor Reduction of Sunset by Generating Function One-loop Feynman Integral Reduction by Differential Operators
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 07e66daf-65e5-4e67-9bd4-f6f4522d58e3 · outbound
Tensor Reduction of Sunset by Generating Function PV-Reduction of Sunset Topology with Auxiliary Vector
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 181c33fa-0b36-49c4-b6ac-055acc68bcfb · outbound
Tensor Reduction of Sunset by Generating Function Reduction of General One-loop Integrals Using Auxiliary Vector
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4cc1d307-0501-4e37-87ce-b8156d5aae33 · outbound
Tensor Reduction of Sunset by Generating Function Universal Treatment of Reduction for One-Loop Integrals in Projective Space
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c358ae9d-9f24-4fef-afc1-6ada8501007a · outbound
Tensor Reduction of Sunset by Generating Function Nontrivial One-loop Recursive Reduction Relation
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5dc2ef3f-9d88-4a94-a1f1-0dd0574fbe4d · outbound
Tensor Reduction of Sunset by Generating Function Tensor Loop Reduction via the Baikov Representation and an Auxiliary Vector
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f8063fda-20e8-48ba-a4f8-05872267f10e · outbound
Tensor Reduction of Sunset by Generating Function Towards a Basis for Planar Two-Loop Integrals
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13d0b4c0-c740-4936-a36f-d1ce130486cb · outbound
Tensor Reduction of Sunset by Generating Function A New Algorithm For The Generation Of Unitarity-Compatible Integration By Parts Relations
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df84b049-24f3-4eec-ad87-e95c664b6dd8 · outbound
Tensor Reduction of Sunset by Generating Function Integration-by-parts identities from the viewpoint of differential geometry
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7f351925-4f19-43ed-a0c7-71287617f128 · outbound
Tensor Reduction of Sunset by Generating Function Lecture Notes on Multi-loop Integral Reduction and Applied Algebraic Geometry
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1d6afdd5-a4b0-4e39-a8af-45b6815770a6 · outbound
Tensor Reduction of Sunset by Generating Function Singular4-4-0 — A computer algebra system for polynomial computations
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bc34b9f4-7fc2-48c5-9f8e-7d6ac0f65aaf · inbound
Twisted Feynman Integrals: from generating functions to spin-resummed post-Minkowskian dynamics Tensor Reduction of Sunset by Generating Function
Reference 106
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1864a516-a821-42af-b416-4b8c3cc89cbf · inbound
An Algorithm for the Symbolic Reduction of Multi-loop Feynman Integrals via Generating Functions Tensor Reduction of Sunset by Generating Function
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4aa7fc3d-262d-465e-9177-f2ec3ae33995 · inbound
Efficient AI-Inspired Reduction of Feynman Integrals via Tube Seeding Tensor Reduction of Sunset by Generating Function
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.