Paper Citation Record · LEDGER

Next-to-leading order evolution of structure functions without PDFs

As of 14 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 2 inbound Pith citation observations for arXiv:2412.09589.

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

pith.paper-citation-record.v1
2412.09589 v3

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T16:58:11.891364Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T00:11:12.063397Z

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

Source: arxiv_reference, observed 2026-07-04T11:39:47.326921Z

Reference resolution

45 of 45 outbound references displayed

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External citation measurements

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Outbound references

Observation 452b7345-bf7d-4b08-8635-d1a839499916 · outbound

This paper cites Science Requirements and Detector Concepts for the Electron-Ion Collider: EIC Yellow Report.

Next-to-leading order evolution of structure functions without PDFs Science Requirements and Detector Concepts for the Electron-Ion Collider: EIC Yellow Report

Reference 1

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Observation 11a9b7a6-ee40-4d13-9a02-0fef0f4d890c · outbound

This paper cites Agostini et.

Next-to-leading order evolution of structure functions without PDFs Agostini et

Reference 2

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Observation 72820ab9-fb04-4aee-9e02-9a93c5344a3f · outbound

This paper cites Abada et.

Next-to-leading order evolution of structure functions without PDFs Abada et

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:58:12.733364Z

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Observation 25030acb-7223-4c38-ae3d-15a93c29bc2c · outbound

This paper cites Combination of Measurements of Inclusive Deep Inelastic $e^{\pm}p$ Scattering Cross Sections and QCD Analysis of HERA Data.

Next-to-leading order evolution of structure functions without PDFs Combination of Measurements of Inclusive Deep Inelastic $e^{\pm}p$ Scattering Cross Sections and QCD Analysis of HERA Data

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T16:58:11.686970Z

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Observation dc39a52f-f042-45ee-bf40-631cfaf249a2 · outbound

This paper cites Measurement of Inclusive ep Cross Sections at High Q2 at sqrt(s) = 225 and 252 GeV and of the Longitudinal Proton Structure Function FL at HERA.

Next-to-leading order evolution of structure functions without PDFs Measurement of Inclusive ep Cross Sections at High Q2 at sqrt(s) = 225 and 252 GeV and of the Longitudinal Proton Structure Function FL at HERA

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T16:58:11.692264Z

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Observation d0e39cb6-3e6c-4231-be5d-cbf15420fe30 · outbound

This paper cites Deep inelastic cross-section measurements at large y with the ZEUS detector at HERA.

Next-to-leading order evolution of structure functions without PDFs Deep inelastic cross-section measurements at large y with the ZEUS detector at HERA

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-11T16:58:12.383791Z

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Observation d7e7e672-7b70-41a1-9621-be8e81ad866c · outbound

This paper cites an unresolved cited work.

Next-to-leading order evolution of structure functions without PDFs Unresolved cited work

Reference 7

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Observation dbeaf2cb-cdf9-48e0-bc6b-b08a800efab9 · outbound

This paper cites Onengut et.

Next-to-leading order evolution of structure functions without PDFs Onengut et

Reference 8

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Observation 5ab67d88-44eb-4b12-b23f-633e7d25b20d · outbound

This paper cites Precise Measurement of Neutrino and Anti-neutrino Differential Cross Sections.

Next-to-leading order evolution of structure functions without PDFs Precise Measurement of Neutrino and Anti-neutrino Differential Cross Sections

Reference 9

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Observation a38fdc19-d383-4250-9835-89402a7962d4 · outbound

This paper cites Precise Measurement of Dimuon Production Cross-Sections in muon neutrino Fe and muon antineutrino Fe Deep Inelastic Scattering at the Tevatron.

Next-to-leading order evolution of structure functions without PDFs Precise Measurement of Dimuon Production Cross-Sections in muon neutrino Fe and muon antineutrino Fe Deep Inelastic Scattering at the Tevatron

Reference 10

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Observation f0840d9e-5d66-4b5f-a8c2-a8ae7da5fe26 · outbound

This paper cites A Precision Measurement of Charm Dimuon Production in Neutrino Interactions from the NOMAD Experiment.

Next-to-leading order evolution of structure functions without PDFs A Precision Measurement of Charm Dimuon Production in Neutrino Interactions from the NOMAD Experiment

Reference 11

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Observation 26cd34e5-b931-4f4f-b4e5-a1adef236b68 · outbound

This paper cites an unresolved cited work.

Next-to-leading order evolution of structure functions without PDFs Unresolved cited work

Reference 12

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Observation ce69c3c5-c51f-43c1-942d-35731d966940 · outbound

This paper cites an unresolved cited work.

Next-to-leading order evolution of structure functions without PDFs Unresolved cited work

Reference 13

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Observation 76dff892-68c4-4b32-8371-deff5a27f326 · outbound

This paper cites an unresolved cited work.

Next-to-leading order evolution of structure functions without PDFs Unresolved cited work

Reference 14

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Observation e2d3b87e-309c-4467-a5fd-89c4b3d2d1c1 · outbound

This paper cites Altarelli and G.

Next-to-leading order evolution of structure functions without PDFs Altarelli and G

Reference 15

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Observation f8e003e5-3137-4873-bd7b-806a8f79b64d · outbound

This paper cites Meaningful characterisation of perturbative theoretical uncertainties.

Next-to-leading order evolution of structure functions without PDFs Meaningful characterisation of perturbative theoretical uncertainties

Reference 16

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Observation 1311f274-b22b-4057-a0ae-5c777ee0f1af · outbound

This paper cites How well can we guess theoretical uncertainties?.

Next-to-leading order evolution of structure functions without PDFs How well can we guess theoretical uncertainties?

Reference 17

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Observation ffe466c8-6923-4daa-aa37-b2d99000fece · outbound

This paper cites An extensive survey of the estimation of uncertainties from missing higher orders in perturbative calculations.

Next-to-leading order evolution of structure functions without PDFs An extensive survey of the estimation of uncertainties from missing higher orders in perturbative calculations

Reference 18

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Observation 85287eea-2f34-4536-8169-99d30d3becc7 · outbound

This paper cites A First Determination of Parton Distributions with Theoretical Uncertainties.

Next-to-leading order evolution of structure functions without PDFs A First Determination of Parton Distributions with Theoretical Uncertainties

Reference 19

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Observation 294e9f26-3f97-4682-b465-eaa12b6010ea · outbound

This paper cites Furmanski and R.

Next-to-leading order evolution of structure functions without PDFs Furmanski and R

Reference 20

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Observation 39c36eb9-b00c-4314-a974-f89efa57aebf · outbound

This paper cites Signatures of gluon saturation from structure-function measurements.

Next-to-leading order evolution of structure functions without PDFs Signatures of gluon saturation from structure-function measurements

Reference 21

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Observation 863f15bf-3101-4264-975c-d67abcc46ef7 · outbound

This paper cites Factorization of Hard Processes in QCD.

Next-to-leading order evolution of structure functions without PDFs Factorization of Hard Processes in QCD

Reference 22

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Observation 8592181d-e5b7-4f0f-9772-922a89384de2 · outbound

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

Next-to-leading order evolution of structure functions without PDFs The Structure of the Proton in the LHC Precision Era

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T16:58:11.780484Z

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Observation 6263bb3d-684b-4df0-9bc3-bb2165bf827f · outbound

This paper cites Hadron structure in high-energy collisions.

Next-to-leading order evolution of structure functions without PDFs Hadron structure in high-energy collisions

Reference 24

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Observation 70b589e2-b3ff-48e6-95b1-476dfdd5b50a · outbound

This paper cites Parton Distributions in Nucleons and Nuclei.

Next-to-leading order evolution of structure functions without PDFs Parton Distributions in Nucleons and Nuclei

Reference 25

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Observation cd9a1318-4915-4704-b7dc-fbb313d3f6e7 · outbound

This paper cites Nuclear PDFs After the First Decade of LHC Data.

Next-to-leading order evolution of structure functions without PDFs Nuclear PDFs After the First Decade of LHC Data

Reference 26

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Observation c72ea3f8-73ac-4dd2-b1fa-9647232795fc · outbound

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

Next-to-leading order evolution of structure functions without PDFs Approximate N$^{3}$LO Parton Distribution Functions with Theoretical Uncertainties: MSHT20aN$^3$LO PDFs

Reference 27

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Observation 90aca88b-de03-4440-b33a-b11c14bac7cb · outbound

This paper cites The Path to N$^3$LO Parton Distributions.

Next-to-leading order evolution of structure functions without PDFs The Path to N$^3$LO Parton Distributions

Reference 28

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Observation 43ffba0f-00f4-4786-ba5d-b6f2ac7aac3d · outbound

This paper cites Factorisation schemes for proton PDFs.

Next-to-leading order evolution of structure functions without PDFs Factorisation schemes for proton PDFs

Reference 29

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Observation 5775a30e-61c6-4935-9605-e3c4315e629f · outbound

This paper cites Physical Anomalous Dimensions at Small $x$.

Next-to-leading order evolution of structure functions without PDFs Physical Anomalous Dimensions at Small $x$

Reference 30

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Observation 23552c08-e590-4dc9-bcfa-5777624ec6ef · outbound

This paper cites On the Drell-Levy-Yan Relation to $O(\alpha_s^2)$.

Next-to-leading order evolution of structure functions without PDFs On the Drell-Levy-Yan Relation to $O(\alpha_s^2)$

Reference 31

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Observation 18febfc9-fb37-4c66-bd10-eccf32a5cc09 · outbound

This paper cites On the Practical Application of Physical Anomalous Dimensions.

Next-to-leading order evolution of structure functions without PDFs On the Practical Application of Physical Anomalous Dimensions

Reference 32

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Observation 9ead3449-a30e-41d6-a668-0abafc30366c · outbound

This paper cites On the Consistent Use of Scale Variations in PDF Fits and Predictions.

Next-to-leading order evolution of structure functions without PDFs On the Consistent Use of Scale Variations in PDF Fits and Predictions

Reference 33

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Observation 8334d3f8-8d63-4981-9b5a-ef69c6a652df · outbound

This paper cites The N$^3$LO Scheme-invariant QCD Evolution of the Non-singlet Structure Functions \boldmath $F^{\rm NS}_2(x,Q^2)$ and $g_1^{\rm NS}(x,Q^2)$.

Next-to-leading order evolution of structure functions without PDFs The N$^3$LO Scheme-invariant QCD Evolution of the Non-singlet Structure Functions \boldmath $F^{\rm NS}_2(x,Q^2)$ and $g_1^{\rm NS}(x,Q^2)$

Reference 34

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Observation 07c423dd-016e-4081-849e-4dcdb66df04f · outbound

This paper cites NNLO evolution of deep-inelastic structure functions: the non-singlet case.

Next-to-leading order evolution of structure functions without PDFs NNLO evolution of deep-inelastic structure functions: the non-singlet case

Reference 35

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This paper cites Ruiz Arriola, NLO evolution for large scale distances, positivity constraints and the low-energy model of the nucleon , Nucl.

Next-to-leading order evolution of structure functions without PDFs Ruiz Arriola, NLO evolution for large scale distances, positivity constraints and the low-energy model of the nucleon , Nucl

Reference 36

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Observation b71a3d52-2415-4047-98e6-3e3d74c47d6f · outbound

This paper cites Evolution of structure functions in momentum space.

Next-to-leading order evolution of structure functions without PDFs Evolution of structure functions in momentum space

Reference 37

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Observation 01d1ed41-3f9b-4765-b609-63c78e91c599 · outbound

This paper cites The Longitudinal Structure Function at the Third Order.

Next-to-leading order evolution of structure functions without PDFs The Longitudinal Structure Function at the Third Order

Reference 38

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Next-to-leading order evolution of structure functions without PDFs Unresolved cited work

Reference 39

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Observation 620de664-4c16-4735-bd6b-a0fd900c3764 · outbound

This paper cites an unresolved cited work.

Next-to-leading order evolution of structure functions without PDFs Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-11T16:58:11.865379Z

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

Next-to-leading order evolution of structure functions without PDFs New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-11T16:58:11.869871Z

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This paper cites Buckley, J.

Next-to-leading order evolution of structure functions without PDFs Buckley, J

Reference 42

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Observation 9d6899ff-6ca6-4669-9001-4bbb563097a6 · outbound

This paper cites On the positivity of MSbar parton distributions.

Next-to-leading order evolution of structure functions without PDFs On the positivity of MSbar parton distributions

Reference 43

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Observation 6839ba9a-1fe0-43f5-8712-7c8a93183a62 · outbound

This paper cites An FONLL prescription with coexisting flavor number PDFs.

Next-to-leading order evolution of structure functions without PDFs An FONLL prescription with coexisting flavor number PDFs

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-11T16:58:11.886098Z

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Observation 67bf55dd-dc9f-4006-970e-82f02c806000 · outbound

This paper cites Gluck and E.

Next-to-leading order evolution of structure functions without PDFs Gluck and E

Reference 45

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Pith citing papers

Observation 5a842ced-aa0e-4113-a1a4-89ac6c10de0f · inbound

Factorisation schemes for proton PDFs cites this paper.

Factorisation schemes for proton PDFs Next-to-leading order evolution of structure functions without PDFs

Reference 32

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Observation 61e66915-7f7f-4266-9024-38ae927f0fd5 · inbound

PDF evolution in alternative factorisation schemes cites this paper.

PDF evolution in alternative factorisation schemes Next-to-leading order evolution of structure functions without PDFs

Reference 25

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