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Paper Citation Record · LEDGER

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions

As of 21 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 10 inbound Pith citation observations for arXiv:2505.09381.

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

pith.paper-citation-record.v1
2505.09381 v1

Coverage vector

measured 64 of 64 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:40:21.932493Z

measured 74 of 74 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:34:55.585438Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T22:45:07.531882Z

Reference resolution

64 of 64 outbound references displayed

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  • verified fuzzy4
  • unresolved60
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 67f6d351-e73b-4f00-833f-5ea47cb7ce42 · outbound

This paper cites The Three-Loop Splitting Functions in QCD: The Non-Singlet Case.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 1

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Observation 203761c7-575b-45cb-8bb4-5f4697055122 · outbound

This paper cites an unresolved cited work.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Unresolved cited work

Reference 2

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Observation 9711e245-e660-41bd-b76c-17d262464c4d · outbound

This paper cites Dainese et al,, eds., CERN Yellow Report 7 (2019).

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Dainese et al,, eds., CERN Yellow Report 7 (2019)

Reference 3

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Observation 9af29585-e901-4b39-a9c1-ca634332a08d · outbound

This paper cites The Three-Loop Splitting Functions in QCD: The Singlet Case.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 4

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Observation 66ea63b3-215c-4005-89c8-f51b9d9f5033 · outbound

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

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Four-loop splitting functions in QCD -- The quark-quark case

Reference 5

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Observation c0e90d8b-e087-494d-9faa-56cd572987d4 · outbound

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

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Science Requirements and Detector Concepts for the Electron-Ion Collider: EIC Yellow Report

Reference 6

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Observation ac091871-49f1-4e75-9d7b-247627a3c78d · outbound

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

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Four-loop splitting functions in QCD -- The quark-to-gluon case

Reference 7

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Observation e7a23057-f5c8-42a6-919f-1463f0806efc · outbound

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

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Four-loop splitting functions in QCD -- The gluon-to-quark case

Reference 8

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Observation e50f81df-1cde-4d6f-bbc4-54bf398d40b4 · outbound

This paper cites Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond

Reference 9

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Observation c7363156-d77d-415f-9f5c-73d8de5f44ee · outbound

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

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Four-loop splitting functions in QCD -- The gluon-gluon case --

Reference 10

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Observation 5c013da6-21df-4a7a-83d1-a8c171ec726e · outbound

This paper cites Large-nf Contributions to the Four-Loop Splitting Functions in QCD.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Large-nf Contributions to the Four-Loop Splitting Functions in QCD

Reference 11

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Observation 9a099430-08d2-4cc6-8c98-b8a9ad454f8f · outbound

This paper cites Anomalous Dimension of Non-Singlet Wilson Operators at O(1/N_f) in Deep Inelastic Scattering.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Anomalous Dimension of Non-Singlet Wilson Operators at O(1/N_f) in Deep Inelastic Scattering

Reference 12

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Observation 51b1f3b5-c62f-41a1-9f73-cad93b3b9442 · outbound

This paper cites for resummations in SIA [ 21, 22], DIS [ 23], DY and ggF [ 24, 25].

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions for resummations in SIA [ 21, 22], DIS [ 23], DY and ggF [ 24, 25]

Reference 13

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Observation 3a8085d9-4da1-4cdc-99a6-533caa30b8de · outbound

This paper cites Four-loop large-n_f contributions to the non-singlet structure functions F_2 and F_L.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Four-loop large-n_f contributions to the non-singlet structure functions F_2 and F_L

Reference 14

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Observation 8c90496c-7a12-4962-b748-b49a507f3fc1 · outbound

This paper cites The $N_f \,C_F^3$ contribution to the non-singlet splitting function at four-loop order.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions The $N_f \,C_F^3$ contribution to the non-singlet splitting function at four-loop order

Reference 15

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Observation 14ea79de-9d1d-4845-af82-5e54e4093820 · outbound

This paper cites Absence of pi^2 terms in physical anomalous dimensions in DIS: verification and resulting predictions.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Absence of pi^2 terms in physical anomalous dimensions in DIS: verification and resulting predictions

Reference 16

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Observation 5832faa9-1e57-40c5-9a91-491c0069842a · outbound

This paper cites Four-loop anomalous dimension of flavor non-singlet twist-two operator of general Lorentz spin in QCD: zeta(3) term.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Four-loop anomalous dimension of flavor non-singlet twist-two operator of general Lorentz spin in QCD: zeta(3) term

Reference 17

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Observation 19902e2f-fdfe-4f31-a44d-70f31eb95298 · outbound

This paper cites an unresolved cited work.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Unresolved cited work

Reference 18

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Observation 9d22b279-bc58-43c5-b3e6-0169c4ec47b4 · outbound

This paper cites Lenstra, H.W.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Lenstra, H.W

Reference 19

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Observation f624b453-c73c-4982-9191-89ef14dbc60d · outbound

This paper cites an unresolved cited work.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Unresolved cited work

Reference 20

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Observation f7862c75-1edf-49a4-9650-7d5dcdee9a81 · outbound

This paper cites Higher-Order threshold effects to inclusive processes in QCD.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Higher-Order threshold effects to inclusive processes in QCD

Reference 21

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Observation b191560a-1925-44a7-958d-2852f451ba51 · outbound

This paper cites Universal structure of subleading infrared poles in gauge theory amplitudes.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Universal structure of subleading infrared poles in gauge theory amplitudes

Reference 22

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Observation 4b6fd16d-cf53-4876-9b92-de233f197e3f · outbound

This paper cites Higher-order threshold resummation for semi-inclusive e^+e^- annihilation.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Higher-order threshold resummation for semi-inclusive e^+e^- annihilation

Reference 23

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Observation 6dbc0198-8f4c-4525-93a6-0ea378037e0f · outbound

This paper cites Threshold Resummation for Semi-Inclusive Single-Hadron Production with Effective Field Theory.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Threshold Resummation for Semi-Inclusive Single-Hadron Production with Effective Field Theory

Reference 24

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Observation 85eced66-d507-4de7-8568-971fdff72aeb · outbound

This paper cites Soft corrections to inclusive deep-inelastic scattering at four loops and beyond.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Soft corrections to inclusive deep-inelastic scattering at four loops and beyond

Reference 25

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Observation 29d77b1b-5b30-477c-be94-dd1fd52771b7 · outbound

This paper cites Approximate four-loop QCD corrections to the Higgs-boson production cross section.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Approximate four-loop QCD corrections to the Higgs-boson production cross section

Reference 26

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Observation fcc1c632-6157-4d5f-853f-b196066af525 · outbound

This paper cites Rapidity distribution at soft-virtual and beyond for n-colorless particles to N$^4$LO in QCD.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Rapidity distribution at soft-virtual and beyond for n-colorless particles to N$^4$LO in QCD

Reference 27

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Observation 3a01b891-7863-4bb3-b905-acc6c57dedba · outbound

This paper cites Nogueira, J.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Nogueira, J

Reference 28

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Observation e98c06ef-1e7f-471d-8f43-e1b4cc7a021a · outbound

This paper cites New features of FORM.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions New features of FORM

Reference 29

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Observation 21fa3db7-b461-4e97-abbf-ee8dab16da6f · outbound

This paper cites FORM version 4.0.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions FORM version 4.0

Reference 30

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source=pdf_text observed=2026-08-15T21:40:21.791764Z digest=sha256:b41d0ce62d330d31ea763a33de76ac0924b56ae7a8831d3fe65ba9af40a0c651

Observation f751aa21-401f-41bf-89ae-1c7d90a1e20d · outbound

This paper cites FORM version 4.2.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions FORM version 4.2

Reference 31

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source=pdf_text observed=2026-08-15T21:40:21.796742Z digest=sha256:e8b2921663974575fe64e5db694316bd1d48120e5f76de5ef8df23a8f69dc70a

Observation f0331c60-507d-4c5b-a376-0a58d7d24514 · outbound

This paper cites Group theory factors for Feynman diagrams.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Group theory factors for Feynman diagrams

Reference 32

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source=pdf_text observed=2026-08-15T21:40:21.801679Z digest=sha256:ae1dded0ca4a11f6b5c8ea6ebf8100df43c4879f639eeebb83d42122b5992bb8

Observation e3a93c28-2ed9-4ab8-b0c3-f75fd089e843 · outbound

This paper cites Forcer, a FORM program for the parametric reduction of four-loop massless propagator diagrams.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Forcer, a FORM program for the parametric reduction of four-loop massless propagator diagrams

Reference 33

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source=pdf_text observed=2026-08-15T21:40:21.805909Z digest=sha256:42591e28ce2b083744b11e0ed13f5be1dc494675d27117c1f0f22d046548b8af

Observation bf261f1e-210b-4222-a139-787c69765589 · outbound

This paper cites Harmonic sums, Mellin transforms and Integrals.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Harmonic sums, Mellin transforms and Integrals

Reference 34

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source=pdf_text observed=2026-08-15T21:40:21.810292Z digest=sha256:3b7a661021c79447f027895e8982e0428ac4753597011bfa431139819f24b4c0

Observation 5659dabe-581f-4c58-9f41-c6126de7a345 · outbound

This paper cites an unresolved cited work.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Unresolved cited work

Reference 35

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:40:21.814203Z digest=sha256:ffd335add1e159eba298bd06e25df93053e6e9d3ca9bc9abac1f9c545c136c6c

Observation a7a43e3a-e609-48dd-96aa-877ef069906c · outbound

This paper cites Revisiting parton evolution and the large-x limit.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Revisiting parton evolution and the large-x limit

Reference 36

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source=pdf_text observed=2026-08-15T21:40:21.818136Z digest=sha256:02be776341fe82198edef8064a9756dc71d315e0366d7f7c30150c545a28fd20

Observation 3ef78924-1737-4b51-ae99-a62926ec5f7c · outbound

This paper cites Anomalous dimensions of high-spin operators beyond the leading order.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Anomalous dimensions of high-spin operators beyond the leading order

Reference 37

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source=pdf_text observed=2026-08-15T21:40:21.822633Z digest=sha256:bfcb747a7d7a64271408d1ddd908837eb361b5caa527ad40ea3b39d15826587c

Observation 7c2cb3a3-0ced-40df-ae28-ee7b95ed7ee6 · outbound

This paper cites N=4 SUSY Yang--Mills: three loops made simple(r).

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions N=4 SUSY Yang--Mills: three loops made simple(r)

Reference 38

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source=pdf_text observed=2026-08-15T21:40:21.826672Z digest=sha256:442748f5ea18f0bfc57613ed3ba1e1d922753a2778a8210c4e12f696bea15f63

Observation 9f6f1119-425b-4eb8-b38c-6f22463ebc98 · outbound

This paper cites Five-Loop Running of the QCD coupling constant.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Five-Loop Running of the QCD coupling constant

Reference 39

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source=pdf_text observed=2026-08-15T21:40:21.830751Z digest=sha256:e619b0c670a31dce6e5fde1546e350509460513c02a91d690d0e8020f4490de7

Observation eb23cea4-26ea-4852-9eb0-d099e2ad4cef · outbound

This paper cites The five-loop beta function of Yang-Mills theory with fermions.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions The five-loop beta function of Yang-Mills theory with fermions

Reference 40

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source=pdf_text observed=2026-08-15T21:40:21.834589Z digest=sha256:1b09eab4aa015073682845ef072bf3d1ba9a94f0d9f5853164bd1fb9b2be4561

Observation a18fc0bc-db70-46fb-89d4-6b3e857e3109 · outbound

This paper cites The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge

Reference 41

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source=pdf_text observed=2026-08-15T21:40:21.838274Z digest=sha256:36f914778d44ced71958b00a8218917d74c9e7ab7c701427ea413b5945b42484

Observation ac0b2449-85f8-44ba-a80a-efcf6a14719d · outbound

This paper cites Five-loop renormalisation of QCD in covariant gauges.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Five-loop renormalisation of QCD in covariant gauges

Reference 42

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source=pdf_text observed=2026-08-15T21:40:21.842790Z digest=sha256:1d2476b8b0e1dba8cc639637674528b374f7f6fa1f1e5684339c7cfe7f67be05

Observation 0e9504d6-e63a-4eca-99fd-55c172f98955 · outbound

This paper cites an unresolved cited work.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Unresolved cited work

Reference 43

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source=pdf_text observed=2026-08-15T21:40:21.846988Z digest=sha256:d6037f7e3d1230cd86b359e534187f81db4fd1c25d4838b6d0fd8def6e00e0bb

Observation cccfa8aa-ebbd-4e68-b841-e092c9c4e0f4 · outbound

This paper cites Progress on double-logarithmic large-x and small-x resummations for (semi-)inclusive hard processes.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Progress on double-logarithmic large-x and small-x resummations for (semi-)inclusive hard processes

Reference 44

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source=pdf_text observed=2026-08-15T21:40:21.850705Z digest=sha256:3309a6fa17ae99d8b656e8ed749bd08587df40ed69ae2f9fda42c1d883d5770e

Observation be6117b2-670a-4c8a-a665-70f7350c53ee · outbound

This paper cites Generalised double-logarithmic equation in QCD.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Generalised double-logarithmic equation in QCD

Reference 45

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source=pdf_text observed=2026-08-15T21:40:21.854938Z digest=sha256:e760857a08cbd0ed91bbcbe8c15e3bdcedf00fcb732ea7615850f802617fcf17

Observation dcfc6b1e-fd42-4e67-9943-6dd659e8b16f · outbound

This paper cites Resummation of small-x double logarithms in QCD: inclusive deep-inelastic scattering.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Resummation of small-x double logarithms in QCD: inclusive deep-inelastic scattering

Reference 46

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source=pdf_text observed=2026-08-15T21:40:21.858678Z digest=sha256:92370787b23de3eec93da62e1615c3ecd10af4b40ad4f5792dc13de54fd6fc04

Observation 413aac86-2924-4e1a-9214-76fff2b28382 · outbound

This paper cites The full four-loop cusp anomalous dimension in $\mathcal{N}=4$ super Yang-Mills and QCD.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions The full four-loop cusp anomalous dimension in $\mathcal{N}=4$ super Yang-Mills and QCD

Reference 47

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source=pdf_text observed=2026-08-15T21:40:21.862441Z digest=sha256:ad920651abbb18ccae593dc0bf94ba2a510efe369a391a85531bd4eb959a80d0

Observation 60d73e40-0968-4300-83d0-d58c65310111 · outbound

This paper cites Cusp and collinear anomalous dimensions in four-loop QCD from form factors.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Cusp and collinear anomalous dimensions in four-loop QCD from form factors

Reference 48

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source=pdf_text observed=2026-08-15T21:40:21.866262Z digest=sha256:8077087ddeab5b4989142a5372f162ca3920401a5ffd066175616e2a0036a405

Observation a6e9335f-76e4-4d8c-acdf-20179bc991aa · outbound

This paper cites Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM

Reference 49

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source=pdf_text observed=2026-08-15T21:40:21.870050Z digest=sha256:0fef1041230317fac9d9625f648905af372a3d0b70bd0ceb85c8ebb50e33560d

Observation 825ca089-2186-4e45-bc66-4286cd8150ea · outbound

This paper cites Three loop anomalous dimension of the non-singlet transversity operator in QCD.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Three loop anomalous dimension of the non-singlet transversity operator in QCD

Reference 50

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source=pdf_text observed=2026-08-15T21:40:21.874436Z digest=sha256:22ae743d6c9a9ad31783b17aa60f7a5a2450e7d4f95eb442067ce1b1d8a2e223

Observation c2e4357a-3156-4143-82b8-a6545393fbc3 · outbound

This paper cites The Three-Loop Splitting Functions in QCD: The Helicity-Dependent Case.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions The Three-Loop Splitting Functions in QCD: The Helicity-Dependent Case

Reference 51

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source=pdf_text observed=2026-08-15T21:40:21.878217Z digest=sha256:1c372cdfa51abed6473bb2896235772055c5d0382184faf7e3563bf56be07034

Observation 58b34059-c2de-4d2d-8899-be15d0261882 · outbound

This paper cites The double fermionic contribution to the four-loop quark-to-gluon splitting function.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions The double fermionic contribution to the four-loop quark-to-gluon splitting function

Reference 52

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source=pdf_text observed=2026-08-15T21:40:21.882847Z digest=sha256:03ad4d4cb13229f1fcc48c966d707af571ae90c65b1f5f0947b36a05e961b448

Observation 0e555c0d-9ebc-4def-a903-c9eada3d4673 · outbound

This paper cites Harmonic Polylogarithms.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Harmonic Polylogarithms

Reference 53

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source=pdf_text observed=2026-08-15T21:40:21.887233Z digest=sha256:71132087cbfd7b8f639b21abaf13044bde07cfbf06f51dbb365786b7b26af94f

Observation 63ab9cd0-1c0c-4c7c-b4af-8aa622fc5db8 · outbound

This paper cites Numerical Evaluation of Harmonic Polylogarithms.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Numerical Evaluation of Harmonic Polylogarithms

Reference 54

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no resolver link, observed 2026-08-15T21:40:21.891137Z

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source=pdf_text observed=2026-08-15T21:40:21.891137Z digest=sha256:b5f1c38250193fd6cf1dc5f34e35013a33193e71fe7a7cc85df12a0a51df643b

Observation ca513cdc-d892-4bb6-b53b-ec6abbbacbfa · outbound

This paper cites Precise predictions for multi-${\rm TeV}$ and ${\rm PeV}$ energy neutrino scattering rates.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Precise predictions for multi-${\rm TeV}$ and ${\rm PeV}$ energy neutrino scattering rates

Reference 55

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source=pdf_text observed=2026-08-15T21:40:21.895472Z digest=sha256:999f8374fa0e84457566a3869b4c7093458b4e4624b204d98c5d1033bb690c9f

Observation 8bc98387-0466-4aa0-b912-3f038c8c91b5 · outbound

This paper cites Reno, Ann.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Reno, Ann

Reference 56

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verified fuzzy
raw_fallback, observed 2026-08-15T21:40:22.641118Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:40:21.899554Z digest=sha256:ceb28daf5c3fb2290000d2e98603ad97e507cfcb4ccf0015e49c8bdf08a45085

Observation 29c65c54-3651-4706-9000-a2a933571ab6 · outbound

This paper cites On quartic colour factors in splitting functions and the gluon cusp anomalous dimension.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions On quartic colour factors in splitting functions and the gluon cusp anomalous dimension

Reference 57

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source=pdf_text observed=2026-08-15T21:40:21.903552Z digest=sha256:d6ccd8dd890206a16e7fd032bfc46eec3239ff7d089bdd09796e6851b2eb00ea

Observation 3aa74837-5e50-4639-b7ff-013f48bfe38c · outbound

This paper cites Additional moments and x-space approximations of four-loop splitting functions in QCD.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Additional moments and x-space approximations of four-loop splitting functions in QCD

Reference 58

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source=pdf_text observed=2026-08-15T21:40:21.908252Z digest=sha256:c29c1fe064a4fed9afc87d0d0cc433e88c5fc82dc2a19ba65a554bc2712d4dce

Observation 3ca06332-2568-4930-a534-ac79bf939530 · outbound

This paper cites Gluon jet function at three loops in QCD.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Gluon jet function at three loops in QCD

Reference 59

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source=pdf_text observed=2026-08-15T21:40:21.912659Z digest=sha256:f7f90b238236e4d0deb4d55cd6a0f36d55e147dbd7f4ed75da49d7ff80b94245

Observation c92c3d4d-3256-48be-b111-61174525255f · outbound

This paper cites Soft Integrals and Soft Anomalous Dimensions at N$^3$LO and Beyond.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Soft Integrals and Soft Anomalous Dimensions at N$^3$LO and Beyond

Reference 60

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source=pdf_text observed=2026-08-15T21:40:21.916712Z digest=sha256:09373a8637e590b310f287650dbb3027a40cf8dccf0a2b6f87f84b4d2b59547b

Observation d04c54c0-9391-42d8-8546-2fbcebd77c12 · outbound

This paper cites The third-order QCD corrections to deep-inelastic scattering by photon exchange.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions The third-order QCD corrections to deep-inelastic scattering by photon exchange

Reference 61

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source=pdf_text observed=2026-08-15T21:40:21.920828Z digest=sha256:1508971486e99053c43fd8e87987c7d688de98d3d2df37e88d7c7363fb0910dc

Observation d293059f-df75-4880-aaa7-47f6f700654f · outbound

This paper cites Drell-Yan Production at Threshold to Third Order in QCD.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Drell-Yan Production at Threshold to Third Order in QCD

Reference 62

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source=pdf_text observed=2026-08-15T21:40:21.924744Z digest=sha256:2e8b71a805318a54bb4566829fca96740a52e100d53be5c307c2c252048fbd65

Observation d4cd0fc4-768a-478a-9722-c3d42d9173dc · outbound

This paper cites Higher-Order Soft Corrections to Lepton Pair and Higgs Boson Production.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Higher-Order Soft Corrections to Lepton Pair and Higgs Boson Production

Reference 63

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source=pdf_text observed=2026-08-15T21:40:21.928548Z digest=sha256:3e23770fd213db2d86f060ff5976d045a946a76e371dd2afdbbb0085595280d3

Observation 711e7cf1-454d-44c1-853f-2cfa7ae495bb · outbound

This paper cites Higgs boson gluon-fusion production at threshold in N3LO QCD.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Higgs boson gluon-fusion production at threshold in N3LO QCD

Reference 64

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source=pdf_text observed=2026-08-15T21:40:21.932493Z digest=sha256:bbc7d67b4f59198a582a5e568fe36f6b7063042f5e8e471437962eb449e6bd63

Pith citing papers

Observation ed4f1985-158f-47d7-b9fa-ec9937f51278 · inbound

Anomalous dimensions at small spins cites this paper.

Anomalous dimensions at small spins Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions

Reference 8

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source=pdf_text observed=2026-08-07T10:34:55.585438Z digest=sha256:603a358752c253ae507e7b2567249efb2ec72d66d4b649fe093d95064cd77255

Observation 3a0966ed-ca62-4a6d-9fb7-f552a29e701c · inbound

Regge trajectories, detectors, and distributions in the critical ${\rm O}(N)$ model cites this paper.

Regge trajectories, detectors, and distributions in the critical ${\rm O}(N)$ model Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions

Reference 109

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no resolver link, observed 2026-08-07T06:04:58.600563Z

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source=pdf_text observed=2026-08-07T06:04:58.600563Z digest=sha256:39052394c6efc7271f9d6b2be071e71d36ec42031b79fa8003324a7688b9c6d3

Observation e0d1bbe3-47cf-47ae-86bc-4fdb9eabb18d · inbound

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

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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source=pdf_text observed=2026-08-07T00:32:51.968101Z digest=sha256:9ee88d798880066640a8374b767cbda518a7ef7fae67a2a44a3940e19d28f428

Observation 4a1eaed5-ccab-4aae-9be9-56ce6321b962 · inbound

Soft and virtual corrections to semi-inclusive DIS up to four loops in QCD cites this paper.

Soft and virtual corrections to semi-inclusive DIS up to four loops in QCD Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions

Reference 67

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source=pdf_text observed=2026-08-06T21:32:59.689439Z digest=sha256:7283bb5ec752ee07d3693f5bee56b3101b5d7e3a1bd2bb93b72b23cd963e58b1

Observation 65326468-6803-456e-ab5e-bb3cef10b1d6 · inbound

New results on small-x resummation for splitting functions cites this paper.

New results on small-x resummation for splitting functions Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions

Reference 15

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no resolver link, observed 2026-08-02T19:29:19.825400Z

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source=pdf_text observed=2026-08-02T19:29:19.825400Z digest=sha256:54f647595e2e38c27d683db2ee560a0f674959025021094c730cf257b41c7be5

Observation adcfbfea-20a8-4f90-a8c6-ce5d1a4da391 · inbound

The four-loop non-singlet splitting functions in QCD cites this paper.

The four-loop non-singlet splitting functions in QCD Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions

Reference 31

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:16:02.145423Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-10T16:44:13.520224Z digest=sha256:5043085d66f056e9f627a56cd1d5d68c746d9844f7f878cfb7ef702dd9335f6e

Observation 462663bc-b946-4e20-942d-3f00491049f9 · inbound

Properties and implications of the four-loop non-singlet splitting functions in QCD cites this paper.

Properties and implications of the four-loop non-singlet splitting functions in QCD Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-12T10:41:30.246913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-07T04:15:59.634181Z digest=sha256:9035a4d66914becb78b5fd9d673eb4d21673a2c9ae09731c130b262d1426297c

Observation 004ee82b-638c-40e8-ad70-db2a4bfd79b8 · inbound

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part cites this paper.

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-05-12T05:26:24.357898Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-12T05:24:57.121356Z digest=sha256:41ff28f3f2189843c7721f7700647513b64b5ddcb98080d7fc0f81151eade919

Observation 48cd631b-8d52-404b-b228-209fd931dad6 · inbound

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part cites this paper.

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-06-30T22:45:07.533761Z

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

Candia-v2: Logarithmic expansions for DGLAP evolution in $x$-space Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions

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