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Paper Citation Record · LEDGER

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis

As of 18 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 2 inbound Pith citation observations for arXiv:2506.13871.

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

pith.paper-citation-record.v1
2506.13871 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:32:53.901551Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

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measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:15:57.282293Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T00:16:01.857890Z

Reference resolution

40 of 40 outbound references displayed

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External citation measurements

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Outbound references

Observation d87b63a1-8176-4b59-9004-37f392741df8 · outbound

This paper cites The strong coupling: a theoretical perspective.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis The strong coupling: a theoretical perspective

Reference 1

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Observation b8e614ad-f833-454b-b0ec-1d6e370601da · outbound

This paper cites The strong coupling constant: State of the art and the decade ahead.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis The strong coupling constant: State of the art and the decade ahead

Reference 2

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Observation 10afed73-5bf4-4835-9253-cd377f794d2d · outbound

This paper cites The Structure of the Proton in the LHC Precision Era.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis The Structure of the Proton in the LHC Precision Era

Reference 4

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Observation 86ac0e0e-d188-4ccb-a1e0-d3e8b7ca8817 · outbound

This paper cites Hadron structure in high-energy collisions.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Hadron structure in high-energy collisions

Reference 5

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Observation 97de2fcb-85b9-4d40-812e-d9e0ff08fc41 · outbound

This paper cites Why $\alpha_s$ Cannot be Determined from Hadronic Processes without Simultaneously Determining the Parton Distributions.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Why $\alpha_s$ Cannot be Determined from Hadronic Processes without Simultaneously Determining the Parton Distributions

Reference 6

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Observation 1df57834-2d6e-4d4f-8af4-43e7fd8ff1f1 · outbound

This paper cites Parton Distribution Functions, $\alpha_s$ and Heavy-Quark Masses for LHC Run II.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Parton Distribution Functions, $\alpha_s$ and Heavy-Quark Masses for LHC Run II

Reference 7

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Observation 38d30e68-cde9-411e-88ce-d58eeded79fb · outbound

This paper cites New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC

Reference 9

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Observation 02f22d7f-4822-4c7d-a10c-fa7304fde7b8 · outbound

This paper cites A first determination of the strong coupling $\alpha_S$ at approximate N$^{3}$LO order in a global PDF fit.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis A first determination of the strong coupling $\alpha_S$ at approximate N$^{3}$LO order in a global PDF fit

Reference 10

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Observation 83c3d244-c59b-432e-acd7-bea602e12bf4 · outbound

This paper cites Precision determination of alpha_s using an unbiased global NLO parton set.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Precision determination of alpha_s using an unbiased global NLO parton set

Reference 11

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Observation 8161100e-8db7-48c6-a7b8-ae8c6e7275fd · outbound

This paper cites Impact of Heavy Quark Masses on Parton Distributions and LHC Phenomenology.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Impact of Heavy Quark Masses on Parton Distributions and LHC Phenomenology

Reference 12

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Observation 56412cd1-bc7f-4c63-a463-ddc1d40ce248 · outbound

This paper cites Constraints for twist-two alien operators in QCD.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Constraints for twist-two alien operators in QCD

Reference 17

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This paper cites Four-loop splitting functions in QCD -- The gluon-gluon case --.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Four-loop splitting functions in QCD -- The gluon-gluon case --

Reference 18

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A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions

Reference 19

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This paper cites Approximate N$^{3}$LO Parton Distribution Functions with Theoretical Uncertainties: MSHT20aN$^3$LO PDFs.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Approximate N$^{3}$LO Parton Distribution Functions with Theoretical Uncertainties: MSHT20aN$^3$LO PDFs

Reference 20

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This paper cites Combining QED and Approximate N${}^3$LO QCD Corrections in a Global PDF Fit: MSHT20qed_an3lo PDFs.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Combining QED and Approximate N${}^3$LO QCD Corrections in a Global PDF Fit: MSHT20qed_an3lo PDFs

Reference 22

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A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis NNPDF4.0 aN$^3$LO PDFs with QED corrections

Reference 24

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This paper cites The Proton Spin, Semi-Inclusive processes, and a future Electron Ion Collider.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis The Proton Spin, Semi-Inclusive processes, and a future Electron Ion Collider

Reference 27

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Observation b9ab958d-8837-4db9-8691-cfc9c05f2ac4 · outbound

This paper cites Deuteron Uncertainties in the Determination of Proton PDFs.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Deuteron Uncertainties in the Determination of Proton PDFs

Reference 31

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Observation c1188883-17f8-4dbf-a77c-dce1378ffef6 · outbound

This paper cites Correlation of Theoretical Uncertainties in PDF Fits and Theoretical Uncertainties in Predictions.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Correlation of Theoretical Uncertainties in PDF Fits and Theoretical Uncertainties in Predictions

Reference 32

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This paper cites Bayesian Approach to Inverse Problems: an Application to NNPDF Closure Testing.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Bayesian Approach to Inverse Problems: an Application to NNPDF Closure Testing

Reference 34

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A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis A Stress Test of Global PDF Fits: Closure Testing the MSHT PDFs and a First Direct Comparison to the Neural Net Approach

Reference 35

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This paper cites Evaluating the faithfulness of PDF uncertainties in the presence of inconsistent data.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Evaluating the faithfulness of PDF uncertainties in the presence of inconsistent data

Reference 36

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This paper cites LHAPDF6: parton density access in the LHC precision era.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis LHAPDF6: parton density access in the LHC precision era

Reference 37

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A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis A critical study of the Monte Carlo replica method

Reference 38

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A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis A new generation of simultaneous fits to LHC data using deep learning

Reference 39

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A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Parton Distribution Benchmarking with LHC Data

Reference 42

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A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Precision NNLO determination of alpha_s(M_Z) using an unbiased global parton set

Reference 43

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A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Parton distributions for the LHC Run II

Reference 44

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A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Barontini, N

Reference 46

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A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Pineline: Industrialization of High-Energy Theory Predictions

Reference 47

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A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis EKO: Evolution Kernel Operators

Reference 48

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This paper cites Candido, F.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Candido, F

Reference 49

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This paper cites PineAPPL: combining EW and QCD corrections for fast evaluation of LHC processes.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis PineAPPL: combining EW and QCD corrections for fast evaluation of LHC processes

Reference 50

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Observation eb040337-2467-42a9-8e59-33a65e3affed · outbound

This paper cites Schwan, A.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Schwan, A

Reference 51

Resolution
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Observation 73801951-ac1f-4404-9ac6-76fb0b219241 · outbound

This paper cites The non-first-order-factorizable contributions to the three-loop single-mass operator matrix elements $A_{Qg}^{(3)}$ and $\Delta A_{Qg}^{(3)}$.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis The non-first-order-factorizable contributions to the three-loop single-mass operator matrix elements $A_{Qg}^{(3)}$ and $\Delta A_{Qg}^{(3)}$

Reference 52

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Observation 368bf85a-4058-432b-8391-6c2fcc8b1fd5 · outbound

This paper cites Yadism: Yet Another Deep-Inelastic Scattering Module.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Yadism: Yet Another Deep-Inelastic Scattering Module

Reference 53

Resolution
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Observation 55f4ca42-828b-4aaa-9fef-7cfe53727af6 · outbound

This paper cites Candido, F.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Candido, F

Reference 54

Resolution
verified exact
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Observation 62313b3c-cccb-4b75-b271-6f122d9d8b37 · outbound

This paper cites Parton distributions from LHC, HERA, Tevatron and fixed target data: MSHT20 PDFs.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis Parton distributions from LHC, HERA, Tevatron and fixed target data: MSHT20 PDFs

Reference 55

Resolution
unresolved
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Observation 4f753d66-34c3-4292-af4c-bcca558393bd · outbound

This paper cites NNLO PDFs driven by top-quark data.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis NNLO PDFs driven by top-quark data

Reference 56

Resolution
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Observation 8dc4ae5e-fee1-4d69-a9c5-577988e9dee5 · outbound

This paper cites The strength of the interaction between quarks and gluons.

A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis The strength of the interaction between quarks and gluons

Reference 59

Resolution
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Pith citing papers

Observation 13a3db5b-9e9d-4f5b-86a3-b5f4297267e7 · inbound

Candia-v2: Logarithmic expansions for DGLAP evolution in $x$-space cites this paper.

Candia-v2: Logarithmic expansions for DGLAP evolution in $x$-space A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis

Reference 79

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Observation 629afc5c-cab2-4c0d-9759-e31620699341 · inbound

What are the consequences of independent factorization and renormalization scales? cites this paper.

What are the consequences of independent factorization and renormalization scales? A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis

Reference 40

Resolution
verified exact
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