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Paper Citation Record · LEDGER

Gradient flow for parton distribution functions: first application to the pion

As of 6 August 2026, this Paper Citation Record lists 100 of 130 outbound references and 9 inbound Pith citation observations for arXiv:2509.02472.

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pith.paper-citation-record.v1
2509.02472 v1

Coverage vector

measured 100 of 130 reference resolution

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measured 109 of 109 standing notices

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measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T02:20:49.430616Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T01:27:31.404685Z

Reference resolution

100 of 130 outbound references displayed

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Outbound references

Observation 763fbe1e-9450-4d37-8b5d-3b7e7e8c978d · outbound

This paper cites Snowmass 2021 whitepaper: Proton structure at the precision frontier.

Gradient flow for parton distribution functions: first application to the pion Snowmass 2021 whitepaper: Proton structure at the precision frontier

Reference 1

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Observation 8d57af27-f877-426c-85ba-b8dce4e82d23 · outbound

This paper cites an unresolved cited work.

Gradient flow for parton distribution functions: first application to the pion Unresolved cited work

Reference 2

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Observation 84e682a7-4b46-4d7b-972d-7a6ccd1a8131 · outbound

This paper cites Betev et al.

Gradient flow for parton distribution functions: first application to the pion Betev et al

Reference 3

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Observation 3de29f20-e95d-4b94-a7b0-3c17fa9badd0 · outbound

This paper cites an unresolved cited work.

Gradient flow for parton distribution functions: first application to the pion Unresolved cited work

Reference 4

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Observation b0437921-599e-4bc6-8f9f-e98bf5c8ee4d · outbound

This paper cites Aurenche, R.

Gradient flow for parton distribution functions: first application to the pion Aurenche, R

Reference 5

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Observation 4cd00a1c-9131-415d-881f-ef3baf18a219 · outbound

This paper cites an unresolved cited work.

Gradient flow for parton distribution functions: first application to the pion Unresolved cited work

Reference 6

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Observation f9f88188-409f-4400-a673-55b9742ddb0f · outbound

This paper cites Gl¨ uck, E.

Gradient flow for parton distribution functions: first application to the pion Gl¨ uck, E

Reference 7

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Observation b3531b82-0543-4c16-8f70-5869728205d1 · outbound

This paper cites The pion parton distribution function in the valence region.

Gradient flow for parton distribution functions: first application to the pion The pion parton distribution function in the valence region

Reference 8

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Observation bf48ae59-491a-4aba-a184-39e47cd90df5 · outbound

This paper cites Parton Distribution Functions of the Charged Pion Within The xFitter Framework.

Gradient flow for parton distribution functions: first application to the pion Parton Distribution Functions of the Charged Pion Within The xFitter Framework

Reference 9

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Observation 3fbf6c7c-84fc-4217-8b5c-e1ac533b9ac2 · outbound

This paper cites Measurement of Leading Neutron Production in Deep-Inelastic Scattering at HERA.

Gradient flow for parton distribution functions: first application to the pion Measurement of Leading Neutron Production in Deep-Inelastic Scattering at HERA

Reference 10

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Observation e1dbd7f8-6d89-4c5e-9de4-e6923d8e4ca7 · outbound

This paper cites Leading neutron production in $e^+p$ collisions at HERA.

Gradient flow for parton distribution functions: first application to the pion Leading neutron production in $e^+p$ collisions at HERA

Reference 11

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Observation 8183608b-bb03-45a2-9e9c-51133d1a1b50 · outbound

This paper cites First Monte Carlo global QCD analysis of pion parton distributions.

Gradient flow for parton distribution functions: first application to the pion First Monte Carlo global QCD analysis of pion parton distributions

Reference 12

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Observation cbc07538-eb40-46cd-8701-0806429e43e1 · outbound

This paper cites Towards the three-dimensional parton structure of the pion: Integrating transverse momentum data into global QCD analysis.

Gradient flow for parton distribution functions: first application to the pion Towards the three-dimensional parton structure of the pion: Integrating transverse momentum data into global QCD analysis

Reference 13

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Observation 1fe74368-23a5-451b-81dc-92e70b818817 · outbound

This paper cites Global QCD Analysis of Pion Parton Distributions with Threshold Resummation.

Gradient flow for parton distribution functions: first application to the pion Global QCD Analysis of Pion Parton Distributions with Threshold Resummation

Reference 14

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Observation 6ea39e4e-1f22-4c30-a8de-755f792af294 · outbound

This paper cites Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion.

Gradient flow for parton distribution functions: first application to the pion Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion

Reference 15

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Observation e1d304e8-a241-4d99-b3c7-44bf0f8e1e58 · outbound

This paper cites An Enhanced Threshold Resummation Formalism for Lepton Pair Production and Its Effects in the Determination of Parton Distribution Functions.

Gradient flow for parton distribution functions: first application to the pion An Enhanced Threshold Resummation Formalism for Lepton Pair Production and Its Effects in the Determination of Parton Distribution Functions

Reference 16

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Observation c69a2fba-4065-4d26-afd0-d7bed465995f · outbound

This paper cites An analysis of parton distributions in a pion with B\'ezier parametrizations.

Gradient flow for parton distribution functions: first application to the pion An analysis of parton distributions in a pion with B\'ezier parametrizations

Reference 17

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Observation 4cbdfb7d-c268-44b7-bf6e-1715c5746982 · outbound

This paper cites Fant\^omas: epistemic and nuclear uncertainties for the parton distributions of the pion.

Gradient flow for parton distribution functions: first application to the pion Fant\^omas: epistemic and nuclear uncertainties for the parton distributions of the pion

Reference 18

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Gradient flow for parton distribution functions: first application to the pion Unresolved cited work

Reference 19

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

Gradient flow for parton distribution functions: first application to the pion Science Requirements and Detector Concepts for the Electron-Ion Collider: EIC Yellow Report

Reference 20

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This paper cites Revealing the structure of light pseudoscalar mesons at the Electron-Ion Collider.

Gradient flow for parton distribution functions: first application to the pion Revealing the structure of light pseudoscalar mesons at the Electron-Ion Collider

Reference 21

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Gradient flow for parton distribution functions: first application to the pion Unresolved cited work

Reference 22

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Gradient flow for parton distribution functions: first application to the pion Unresolved cited work

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Gradient flow for parton distribution functions: first application to the pion Unresolved cited work

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Gradient flow for parton distribution functions: first application to the pion Unresolved cited work

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Gradient flow for parton distribution functions: first application to the pion Unresolved cited work

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Gradient flow for parton distribution functions: first application to the pion Pion Structure Function in the Nambu and Jona-Lasinio model

Reference 27

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Gradient flow for parton distribution functions: first application to the pion Generalized Relativistic Meson Wave Function

Reference 28

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Gradient flow for parton distribution functions: first application to the pion Unresolved cited work

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Gradient flow for parton distribution functions: first application to the pion Valence-quark distributions in the pion

Reference 30

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Gradient flow for parton distribution functions: first application to the pion Melnitchouk, Quark hadron duality in electron pion scattering, Eur

Reference 31

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Gradient flow for parton distribution functions: first application to the pion Pion transverse momentum dependent parton distributions in the Nambu and Jona-Lasinio model

Reference 32

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Gradient flow for parton distribution functions: first application to the pion Flavour dependence of the pion and kaon form factors and parton distribution functions

Reference 33

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Gradient flow for parton distribution functions: first application to the pion Quantifying finite-momentum effects in meson quasi-PDFs

Reference 34

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This paper cites Universality of Generalized Parton Distributions in Light-Front Holographic QCD.

Gradient flow for parton distribution functions: first application to the pion Universality of Generalized Parton Distributions in Light-Front Holographic QCD

Reference 35

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Gradient flow for parton distribution functions: first application to the pion Distinguishing Quarks and Gluons in Pion and Kaon PDFs

Reference 36

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Gradient flow for parton distribution functions: first application to the pion Parton Distribution Functions from a Light Front Hamiltonian and QCD Evolution for Light Mesons

Reference 37

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Gradient flow for parton distribution functions: first application to the pion Pion and kaon parton distribution functions from basis light front quantization and QCD evolution

Reference 38

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Observation bd36bc7d-cf09-41c8-9749-c951e9879c65 · outbound

This paper cites Pion Parton Distribution Function in Light-Front Holographic QCD.

Gradient flow for parton distribution functions: first application to the pion Pion Parton Distribution Function in Light-Front Holographic QCD

Reference 39

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Observation c869993c-b725-459e-81e0-1fad8236abca · outbound

This paper cites an unresolved cited work.

Gradient flow for parton distribution functions: first application to the pion Unresolved cited work

Reference 40

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source=pdf_text observed=2026-08-05T11:44:03.195289Z digest=sha256:291ad5ba9ecf964273ba52bcd0937d7b345bf612adb5831397fcdf751f5f435c

Observation 16bc5c99-06f2-433f-a612-c4326b335894 · outbound

This paper cites Pion and Kaon parton distributions in the QCD instanton vacuum.

Gradient flow for parton distribution functions: first application to the pion Pion and Kaon parton distributions in the QCD instanton vacuum

Reference 41

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source=pdf_text observed=2026-08-05T11:44:03.197755Z digest=sha256:db557486ed46cb49464e4893e81e7da842fe8a9295311ec0fdd06f8b0d740d88

Observation e2da564f-a6cb-44e6-a216-d565497385b8 · outbound

This paper cites Emergence of pion parton distributions.

Gradient flow for parton distribution functions: first application to the pion Emergence of pion parton distributions

Reference 42

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source=pdf_text observed=2026-08-05T11:44:03.200434Z digest=sha256:11166697de44a6228306629833d225c7dad2254c66617adcdefac06e2f74998c

Observation 63cd712e-9a1c-44cb-97a2-37366afd1734 · outbound

This paper cites Pseudo-scalar mesons: light front wave functions, GPDs and PDFs.

Gradient flow for parton distribution functions: first application to the pion Pseudo-scalar mesons: light front wave functions, GPDs and PDFs

Reference 43

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source=pdf_text observed=2026-08-05T11:44:03.203349Z digest=sha256:b960fcdd994f8228bd3faebc3dc17ce25f77f409dfd6e45f74d9efcf75113e48

Observation bca4bd63-3459-4c4a-ae47-0b9e2438c2e9 · outbound

This paper cites Pion spectroscopy and dynamics using the holographic light-front Schr\"odinger equation and the 't Hooft equation.

Gradient flow for parton distribution functions: first application to the pion Pion spectroscopy and dynamics using the holographic light-front Schr\"odinger equation and the 't Hooft equation

Reference 44

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source=pdf_text observed=2026-08-05T11:44:03.206613Z digest=sha256:5294aa12884936f06dae702faeef49da188871471acaa90ae1d5b7c3ad6f3624

Observation 5150a6a7-c59e-4c42-aecc-c129a0cf930b · outbound

This paper cites The valence quark, sea, and gluon content of the pion from the parton distribution functions and the electromagnetic form factor.

Gradient flow for parton distribution functions: first application to the pion The valence quark, sea, and gluon content of the pion from the parton distribution functions and the electromagnetic form factor

Reference 45

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source=pdf_text observed=2026-08-05T11:44:03.209489Z digest=sha256:d496e52806fdbfb68eacc9ec05b5849370e2355e00faa97704f89fb4c3b0abf3

Observation 643763d8-1367-4a9f-93ef-08aa3bd72c8d · outbound

This paper cites Pion distribution functions from low-order Mellin moments.

Gradient flow for parton distribution functions: first application to the pion Pion distribution functions from low-order Mellin moments

Reference 46

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source=pdf_text observed=2026-08-05T11:44:03.212606Z digest=sha256:81a129b5660b072960b3a22c2868555ba1224f6f79616cd2493ed82386aa1c1d

Observation 7c034eeb-f92a-40f8-9d91-07f3563e57de · outbound

This paper cites Properties, ensembles and hadron spectra with Stabilised Wilson Fermions.

Gradient flow for parton distribution functions: first application to the pion Properties, ensembles and hadron spectra with Stabilised Wilson Fermions

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-05T11:44:04.201097Z

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source=pdf_text observed=2026-08-05T11:44:03.215715Z digest=sha256:267c134c1ae9ad88c0dfa2cd2ddc5b16a4eb9c9111092a50e0b3aea187f70fed

Observation 54f90a2a-8670-4b77-8e07-4c49c493c66f · outbound

This paper cites Gauge generation and dissemination in OpenLat.

Gradient flow for parton distribution functions: first application to the pion Gauge generation and dissemination in OpenLat

Reference 48

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verified exact
local_arxiv, observed 2026-08-05T11:44:04.189916Z

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source=pdf_text observed=2026-08-05T11:44:03.218471Z digest=sha256:828d8be2b50f545e0d29f6e9563231c4496efa0f7db79f2bd19bc8455cb0356c

Observation e9ddef7c-12db-493b-b2d0-0200d7a2ebdb · outbound

This paper cites Benchmark Continuum Limit Results for Spectroscopy with Stabilized Wilson Fermions.

Gradient flow for parton distribution functions: first application to the pion Benchmark Continuum Limit Results for Spectroscopy with Stabilized Wilson Fermions

Reference 49

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verified exact
local_arxiv, observed 2026-08-05T11:44:04.178707Z

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source=pdf_text observed=2026-08-05T11:44:03.221580Z digest=sha256:600621ffec4cd02c9c2ad9b5515da5b90cc69275891b4aab337cfb12725be2c0

Observation 8e4bb2ce-f8b7-47f7-b019-b0fc1715d114 · outbound

This paper cites Progress in generating gauge ensembles with Stabilized Wilson Fermions.

Gradient flow for parton distribution functions: first application to the pion Progress in generating gauge ensembles with Stabilized Wilson Fermions

Reference 50

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verified exact
local_arxiv, observed 2026-08-05T11:44:04.167640Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-05T11:44:03.224213Z digest=sha256:01ef88450a97501c0368d517e4d934ff759abaf7c7d45ecbd947ecd13a1c6fb4

Observation 441403c9-2547-487b-93ad-ba360bb39c2f · outbound

This paper cites an unresolved cited work.

Gradient flow for parton distribution functions: first application to the pion Unresolved cited work

Reference 51

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source=pdf_text observed=2026-08-05T11:44:03.227336Z digest=sha256:0aa8ce15a1091752c0cc5a7ca47937e91b66ad694e43abf9f9bdcd4fb3b3f0ac

Observation c8fbefa1-6b18-41fc-9862-24143ff04020 · outbound

This paper cites Martinelli and C.

Gradient flow for parton distribution functions: first application to the pion Martinelli and C

Reference 52

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source=pdf_text observed=2026-08-05T11:44:03.230017Z digest=sha256:47346a77f200a98a7ef6859fffb02a735c72b18d9117c905663cff0061f64666

Observation 5c1dcee7-9a51-48e7-b99a-944a0e469fee · outbound

This paper cites Martinelli and C.

Gradient flow for parton distribution functions: first application to the pion Martinelli and C

Reference 53

Resolution
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source=pdf_text observed=2026-08-05T11:44:03.232628Z digest=sha256:ae592f1a2675b6aada3405d05c88364211d79b3be48b0ac51e72d5744eaab92f

Observation e8ac2cc2-a978-4ff2-bf6b-aa96752f5f0e · outbound

This paper cites Model independent determination of the shape function for inclusive B decays and of the structure functions in DIS.

Gradient flow for parton distribution functions: first application to the pion Model independent determination of the shape function for inclusive B decays and of the structure functions in DIS

Reference 54

Resolution
verified exact
local_arxiv, observed 2026-08-05T11:44:04.156037Z

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source=pdf_text observed=2026-08-05T11:44:03.235002Z digest=sha256:30f7b254707fd9fc6e2ae63afd3d4186ffd2cfd80386d1ea0c702d1522bb344f

Observation 6a1dfe7a-fc0d-4fbb-a184-eaf3bca2e122 · outbound

This paper cites Deep-inelastic scattering and the operator product expansion in lattice QCD.

Gradient flow for parton distribution functions: first application to the pion Deep-inelastic scattering and the operator product expansion in lattice QCD

Reference 55

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source=pdf_text observed=2026-08-05T11:44:03.237785Z digest=sha256:9330a17d924bbb26c039d9029fd87f75f5e082533b3ae9e803ef4af2b8f44a15

Observation e4d4986e-f04b-468c-a2d7-d14017496a7d · outbound

This paper cites Parton Physics on Euclidean Lattice.

Gradient flow for parton distribution functions: first application to the pion Parton Physics on Euclidean Lattice

Reference 56

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source=pdf_text observed=2026-08-05T11:44:03.240413Z digest=sha256:2d250446758714c178612fdc41654553f15576a58df37d4451f984570b49465d

Observation 3ab1b20d-9b21-427c-9ab0-dea790ad3f6f · outbound

This paper cites Locally smeared operator product expansions in scalar field theory.

Gradient flow for parton distribution functions: first application to the pion Locally smeared operator product expansions in scalar field theory

Reference 57

Resolution
verified exact
local_arxiv, observed 2026-08-05T11:44:04.127800Z

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source=pdf_text observed=2026-08-05T11:44:03.243114Z digest=sha256:67f46c269c33a87f71980b45d7683d3998a883744723326d2dea8334f5dd0b4d

Observation 405f2731-03e4-44b7-be62-a2dbc3ed7872 · outbound

This paper cites Nonperturbative Evolution of Parton Quasi-Distributions.

Gradient flow for parton distribution functions: first application to the pion Nonperturbative Evolution of Parton Quasi-Distributions

Reference 58

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source=pdf_text observed=2026-08-05T11:44:03.245773Z digest=sha256:4e63e23f8cd359b73bf302f790c91d606ca0ee4fe71c0009fd3cacdd3577dafc

Observation 8d449454-a2b4-4672-96e2-353ef8e766e8 · outbound

This paper cites Lattice QCD exploration of pseudo-PDFs.

Gradient flow for parton distribution functions: first application to the pion Lattice QCD exploration of pseudo-PDFs

Reference 59

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source=pdf_text observed=2026-08-05T11:44:03.248325Z digest=sha256:a34b23e3ce77ac5054d5fa46d740373a9b8ba4ea5a53afdc810b256b44eba190

Observation 11d8d0dd-8724-4ed7-aa85-4a3ac470d3a9 · outbound

This paper cites Nucleon structure functions from lattice operator product expansion.

Gradient flow for parton distribution functions: first application to the pion Nucleon structure functions from lattice operator product expansion

Reference 60

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source=pdf_text observed=2026-08-05T11:44:03.251078Z digest=sha256:ca6e429de3fac783e02d49498bdfaec3883c2e74dd5a414f34453e455f94ef51

Observation c32dc327-5713-4d32-a70e-04824b10d1d2 · outbound

This paper cites Exclusive processes in position space and the pion distribution amplitude.

Gradient flow for parton distribution functions: first application to the pion Exclusive processes in position space and the pion distribution amplitude

Reference 61

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source=pdf_text observed=2026-08-05T11:44:03.253778Z digest=sha256:2cc34c1337d31de63f711fbfffb7ed8c9dc82c66bb70f0b89175d1a54321c3be

Observation 7777c305-6d2b-47f5-8278-2f8fbfb7b17a · outbound

This paper cites Extracting Parton Distribution Functions from Lattice QCD Calculations.

Gradient flow for parton distribution functions: first application to the pion Extracting Parton Distribution Functions from Lattice QCD Calculations

Reference 62

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source=pdf_text observed=2026-08-05T11:44:03.256447Z digest=sha256:265888e24f049458ffcc6877976035957aa7052eb7f98355e4252e4d6aed0052

Observation 67986c55-82b1-458c-b2fb-f8011306b8bf · outbound

This paper cites Towards the nucleon hadronic tensor from lattice QCD.

Gradient flow for parton distribution functions: first application to the pion Towards the nucleon hadronic tensor from lattice QCD

Reference 63

Resolution
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no resolver link, observed 2026-08-05T11:44:03.259253Z

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source=pdf_text observed=2026-08-05T11:44:03.259253Z digest=sha256:edfcb3226ca67a1e4a73f2a0a96a053e99cefaf581c4b8b5c282216dbca33735

Observation d0995c24-cf21-4d4c-849a-11e10a7a5406 · outbound

This paper cites Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions.

Gradient flow for parton distribution functions: first application to the pion Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions

Reference 64

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source=pdf_text observed=2026-08-05T11:44:03.261953Z digest=sha256:a989402c49725643f8ea11cd80d0fb467abf674bb7041f984b0d908f8cc6fb58

Observation e73cfd19-a630-4082-8c26-d2380e29336c · outbound

This paper cites Moments of Ioffe time parton distribution functions from non-local matrix elements.

Gradient flow for parton distribution functions: first application to the pion Moments of Ioffe time parton distribution functions from non-local matrix elements

Reference 65

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source=pdf_text observed=2026-08-05T11:44:03.264757Z digest=sha256:8d7ea6cd1d4e1bb266d29fd806c406fa993e0432a408a7d01d50aa384e2c16a1

Observation 76e11481-4826-4e1d-bf77-ce313ceac075 · outbound

This paper cites Parton Distribution Functions from Ioffe time pseudo-distributions.

Gradient flow for parton distribution functions: first application to the pion Parton Distribution Functions from Ioffe time pseudo-distributions

Reference 66

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source=pdf_text observed=2026-08-05T11:44:03.267528Z digest=sha256:3fee9abeadee3eedbb7586a8d1c6658db63780eacb46e3ca96f7693ae367eba3

Observation 51f50c80-8d3f-4e70-8717-d2a6231aa830 · outbound

This paper cites Pion Valence Structure from Ioffe Time Pseudo-Distributions.

Gradient flow for parton distribution functions: first application to the pion Pion Valence Structure from Ioffe Time Pseudo-Distributions

Reference 67

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source=pdf_text observed=2026-08-05T11:44:03.270217Z digest=sha256:77e7887b7e56cb8676a8ec7d4de466459fd60420b4968036cf5785be5ac6f4ae

Observation d4e721c9-9536-4c0e-b5f1-6c40a6b87a69 · outbound

This paper cites Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point.

Gradient flow for parton distribution functions: first application to the pion Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point

Reference 68

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source=pdf_text observed=2026-08-05T11:44:03.272752Z digest=sha256:d02d0c9496843e996cefbb5571eb3e65ea44acc836a69d01e7cf0765a2621e01

Observation bea50b6f-f44c-4835-9b30-4c43bd783c60 · outbound

This paper cites Isovector parton distribution functions of the proton on a superfine lattice.

Gradient flow for parton distribution functions: first application to the pion Isovector parton distribution functions of the proton on a superfine lattice

Reference 69

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source=pdf_text observed=2026-08-05T11:44:03.275381Z digest=sha256:90e2a144c29c72ee9ff3f3789e1ad623056a52482378ba4b1ec07ef37211e2b7

Observation 0b0e5ee6-e852-4dc7-9bc6-09cd9c6efc54 · outbound

This paper cites The transversity parton distribution function of the nucleon using the pseudo-distribution approach.

Gradient flow for parton distribution functions: first application to the pion The transversity parton distribution function of the nucleon using the pseudo-distribution approach

Reference 70

Resolution
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no resolver link, observed 2026-08-05T11:44:03.278005Z

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source=pdf_text observed=2026-08-05T11:44:03.278005Z digest=sha256:54c745fdb40c6a0e53cab56b4ee625c19b0b9f45f762b42f00d5ad289fdffa55

Observation 564f3d0b-0d84-43ab-bb91-8952cdbba944 · outbound

This paper cites Continuum-extrapolated NNLO Valence PDF of Pion at the Physical Point.

Gradient flow for parton distribution functions: first application to the pion Continuum-extrapolated NNLO Valence PDF of Pion at the Physical Point

Reference 71

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source=pdf_text observed=2026-08-05T11:44:03.280913Z digest=sha256:3fafe43b9bad77360aac460f42f06b0cc5342091a0062545035a3015ce7368e1

Observation 07461c02-af43-4237-ae5f-370992af4df9 · outbound

This paper cites Unpolarized proton PDF at NNLO from lattice QCD with physical quark masses.

Gradient flow for parton distribution functions: first application to the pion Unpolarized proton PDF at NNLO from lattice QCD with physical quark masses

Reference 72

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source=pdf_text observed=2026-08-05T11:44:03.283564Z digest=sha256:409a72b8bba8f931885512a8d54bf778bf3dc8a7a148211bedacdce90fb78145

Observation c055c5fa-1baa-4e4f-a228-eb69414d1973 · outbound

This paper cites Towards Unpolarized GPDs from Pseudo-Distributions.

Gradient flow for parton distribution functions: first application to the pion Towards Unpolarized GPDs from Pseudo-Distributions

Reference 73

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source=pdf_text observed=2026-08-05T11:44:03.286168Z digest=sha256:d1f76aa6dca7bd139a6ddfe0bdaad87c3396508b91fe73071cf547800f6de9ff

Observation aec1f141-49fd-474a-962a-b9ebd1407851 · outbound

This paper cites Moments of parton distribution functions of any order from lattice QCD.

Gradient flow for parton distribution functions: first application to the pion Moments of parton distribution functions of any order from lattice QCD

Reference 74

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source=pdf_text observed=2026-08-05T11:44:03.289260Z digest=sha256:46590a089a0fc094a07c2eebacaa011ea90009a7b040f1e79855641fa870e564

Observation 3bc28736-4f60-4c18-b1e1-0234cdf97b69 · outbound

This paper cites Complementarity of experimental and lattice QCD data on pion parton distributions.

Gradient flow for parton distribution functions: first application to the pion Complementarity of experimental and lattice QCD data on pion parton distributions

Reference 75

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unresolved
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source=pdf_text observed=2026-08-05T11:44:03.292017Z digest=sha256:97e880b07dfa809d06f310f05eadb38c1595f9e34a64f9165a7d52457176c520

Observation 92531022-fb69-4c15-b2c1-87e881e56c52 · outbound

This paper cites Infinite N phase transitions in continuum Wilson loop operators.

Gradient flow for parton distribution functions: first application to the pion Infinite N phase transitions in continuum Wilson loop operators

Reference 76

Resolution
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source=pdf_text observed=2026-08-05T11:44:03.294883Z digest=sha256:b4817e3be33054f6a3f4f079a7dbdc1659dcee94faa3cb7414e30c7de2d8e948

Observation 123c1f2a-f033-4fec-88b5-853a7ca91cea · outbound

This paper cites Properties and uses of the Wilson flow in lattice QCD.

Gradient flow for parton distribution functions: first application to the pion Properties and uses of the Wilson flow in lattice QCD

Reference 77

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source=pdf_text observed=2026-08-05T11:44:03.297649Z digest=sha256:2b30cc85508d4a145f84eba2375033a8668d3850f972209bbc74ae6b5cb44c0a

Observation 95a0d976-e487-46b8-98ad-7b159c3a7860 · outbound

This paper cites Perturbative analysis of the gradient flow in non-abelian gauge theories.

Gradient flow for parton distribution functions: first application to the pion Perturbative analysis of the gradient flow in non-abelian gauge theories

Reference 78

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Observation 80133029-7a6b-4e1e-90a6-1fd97fb77ce1 · outbound

This paper cites Chiral symmetry and the Yang--Mills gradient flow.

Gradient flow for parton distribution functions: first application to the pion Chiral symmetry and the Yang--Mills gradient flow

Reference 79

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source=pdf_text observed=2026-08-05T11:44:03.303808Z digest=sha256:2ee593a6682474ed13ea43cb4b15122bb67bf5211fcea62aae24a16c85183a3f

Observation b43aa4dc-4cd8-43eb-b040-717a78b0c006 · outbound

This paper cites Energy-momentum tensor from the Yang-Mills gradient flow.

Gradient flow for parton distribution functions: first application to the pion Energy-momentum tensor from the Yang-Mills gradient flow

Reference 80

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source=pdf_text observed=2026-08-05T11:44:03.306894Z digest=sha256:189727844f815bfb0b05690159aef6b84c44805da2170f3c4a3db1821576685e

Observation 80cebaca-014f-4551-94ae-eae5d21f620d · outbound

This paper cites Future applications of the Yang-Mills gradient flow in lattice QCD.

Gradient flow for parton distribution functions: first application to the pion Future applications of the Yang-Mills gradient flow in lattice QCD

Reference 81

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Observation 6be045c4-5a97-45b3-bc33-09aa21b4f3cb · outbound

This paper cites an unresolved cited work.

Gradient flow for parton distribution functions: first application to the pion Unresolved cited work

Reference 82

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source=pdf_text observed=2026-08-05T11:44:03.312325Z digest=sha256:f7d1dc41384addcfec9194fd60a87ef05f4cc241bcc62a193e7062818f9a3a4c

Observation 011211b3-d904-4eab-ad41-ceb14c461471 · outbound

This paper cites an unresolved cited work.

Gradient flow for parton distribution functions: first application to the pion Unresolved cited work

Reference 83

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source=pdf_text observed=2026-08-05T11:44:03.314833Z digest=sha256:7f0bf7e65f632bfe0b7d326d5f4c05632d1f876b07605b3e506ac44cb7e21082

Observation bd3a38ba-bce9-4620-adcf-ef4ec8e457a3 · outbound

This paper cites The two-loop energy-momentum tensor within the gradient-flow formalism.

Gradient flow for parton distribution functions: first application to the pion The two-loop energy-momentum tensor within the gradient-flow formalism

Reference 84

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source=pdf_text observed=2026-08-05T11:44:03.317531Z digest=sha256:1054ac6dda4dfa8b0af544be9e9e5d95e456e5064f06b37fbd459bcdd0f8daa8

Observation f2e37b38-0aae-47de-9744-f3aa51b99864 · outbound

This paper cites Results and techniques for higher order calculations within the gradient-flow formalism.

Gradient flow for parton distribution functions: first application to the pion Results and techniques for higher order calculations within the gradient-flow formalism

Reference 85

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source=pdf_text observed=2026-08-05T11:44:03.320200Z digest=sha256:eea3a0880594fbc301bd25518911d31b0681de807091736c761950b3acc6f689

Observation de017c7d-ace0-4387-af13-51f0e37c6c77 · outbound

This paper cites an unresolved cited work.

Gradient flow for parton distribution functions: first application to the pion Unresolved cited work

Reference 86

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source=pdf_text observed=2026-08-05T11:44:03.322963Z digest=sha256:38acb01644e95308651abedb57c609ba632af5afdacb918a45fa0027a0578ea0

Observation 1ec7a37c-affe-44ef-acf2-fd9670cee490 · outbound

This paper cites Gonzalez-Arroyo, C.

Gradient flow for parton distribution functions: first application to the pion Gonzalez-Arroyo, C

Reference 87

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source=pdf_text observed=2026-08-05T11:44:03.325711Z digest=sha256:0dc55346547d15eaa169f7d789db12898110aecd405aea4394ac8dff80a84649

Observation 563ae071-5457-4dfc-b066-97e736c11d80 · outbound

This paper cites Lattice energy-momentum tensor from the Yang-Mills gradient flow -- inclusion of fermion fields.

Gradient flow for parton distribution functions: first application to the pion Lattice energy-momentum tensor from the Yang-Mills gradient flow -- inclusion of fermion fields

Reference 88

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source=pdf_text observed=2026-08-05T11:44:03.328207Z digest=sha256:49248ba549b8427d8bd5de4360c6b5d5f8f0efef8413d0baad94b6100b37b744

Observation 295276b8-ca36-40fc-a34c-08a1bf495150 · outbound

This paper cites Short-flow-time expansion of quark bilinears through next-to-next-to-leading order QCD.

Gradient flow for parton distribution functions: first application to the pion Short-flow-time expansion of quark bilinears through next-to-next-to-leading order QCD

Reference 89

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source=pdf_text observed=2026-08-05T11:44:03.330891Z digest=sha256:a9a23ef3f87c10b4c1eb6c91a749c664f09d4f12725b2de306d60d6168a15f86

Observation 849e6d0a-ee7f-40ba-b247-78457bd5a1da · outbound

This paper cites Francis, P.

Gradient flow for parton distribution functions: first application to the pion Francis, P

Reference 90

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source=pdf_text observed=2026-08-05T11:44:03.333544Z digest=sha256:d03f2d70934c8a7a246dcc620a94359f3ab70f6a00715cd49781c57f4d444085

Observation a088a1e6-db19-4b4c-ba61-ab391cb7a326 · outbound

This paper cites FLAG Review 2024.

Gradient flow for parton distribution functions: first application to the pion FLAG Review 2024

Reference 91

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source=pdf_text observed=2026-08-05T11:44:03.336750Z digest=sha256:43f854e34c18b50bda510f146e33616f7df20d0e699c6591944f3f918c1469b1

Observation 6a9583c7-6748-4814-87f1-a1383694656a · outbound

This paper cites Domain wall QCD with physical quark masses.

Gradient flow for parton distribution functions: first application to the pion Domain wall QCD with physical quark masses

Reference 92

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source=pdf_text observed=2026-08-05T11:44:03.339348Z digest=sha256:9dc55053ddc3e0460998e23cd316a66a54db397920bfff9d208b98ff7f6a31e4

Observation cdd1e652-9ae6-444c-a2f2-7cef16efe732 · outbound

This paper cites Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions.

Gradient flow for parton distribution functions: first application to the pion Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions

Reference 93

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source=pdf_text observed=2026-08-05T11:44:03.341942Z digest=sha256:95c2343763376e11d28d5a373b2531e36ec9d2a4bd121835e5cfc7a4a775561e

Observation 71700113-ac64-46e8-bba4-02826f5c0678 · outbound

This paper cites Setting the scale for the CLS $2 + 1$ flavor ensembles.

Gradient flow for parton distribution functions: first application to the pion Setting the scale for the CLS $2 + 1$ flavor ensembles

Reference 94

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source=pdf_text observed=2026-08-05T11:44:03.344617Z digest=sha256:14ebb417aa1bc041cb4440a1ddfca238ac79eebf1fc717c751fa73db953dc80a

Observation c15a5022-6dda-4886-a899-ebf5b04b2e00 · outbound

This paper cites High-precision scale setting in lattice QCD.

Gradient flow for parton distribution functions: first application to the pion High-precision scale setting in lattice QCD

Reference 95

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source=pdf_text observed=2026-08-05T11:44:03.347484Z digest=sha256:76ef3c19ef2960bb37d00f5afd1aca43d2f93cb36cb30ecf8ce4db33d10076bc

Observation 0cfb16e9-7bf7-4238-a5aa-2411ca06a285 · outbound

This paper cites Brommel, M.

Gradient flow for parton distribution functions: first application to the pion Brommel, M

Reference 96

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source=pdf_text observed=2026-08-05T11:44:03.350117Z digest=sha256:9bc30a3f4b03b461f926ccb844221aa403df7709cfb8c266a7db0a899b28b9af

Observation dc866e29-0dce-4100-8e23-4b0ddddec699 · outbound

This paper cites Brommel, Pion Structure from the Lattice, Ph.D.

Gradient flow for parton distribution functions: first application to the pion Brommel, Pion Structure from the Lattice, Ph.D

Reference 97

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source=pdf_text observed=2026-08-05T11:44:03.352736Z digest=sha256:b5a768295ad03c4eee953887668c40686a627a9782651d67f5260e6962fe5b7d

Observation 4bbc20b7-1136-44f0-b977-3a87d1a529a1 · outbound

This paper cites The Mellin moments $\langle x \rangle$ and $\langle x^2 \rangle$ for the pion and kaon from lattice QCD.

Gradient flow for parton distribution functions: first application to the pion The Mellin moments $\langle x \rangle$ and $\langle x^2 \rangle$ for the pion and kaon from lattice QCD

Reference 98

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source=pdf_text observed=2026-08-05T11:44:03.355051Z digest=sha256:6c5d7df991b4b3aac88472151a0008b4172ab511b7b43bb2a6186ddf8f6e137e

Observation 8c1cd2dc-d0e8-46e1-ae2d-dc5d00a47165 · outbound

This paper cites The pion and kaon $\langle x^3 \rangle$ from lattice QCD and PDF reconstruction from Mellin moments.

Gradient flow for parton distribution functions: first application to the pion The pion and kaon $\langle x^3 \rangle$ from lattice QCD and PDF reconstruction from Mellin moments

Reference 99

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source=pdf_text observed=2026-08-05T11:44:03.357689Z digest=sha256:5c7a9cd0c683a549cf93b85149c1e84b01e405cb1017a1569112a53fd60b9738

Observation 350caa2a-2a2f-4f00-95db-733068d425bd · outbound

This paper cites Parton distribution functions in the pion from lattice QCD.

Gradient flow for parton distribution functions: first application to the pion Parton distribution functions in the pion from lattice QCD

Reference 100

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source=pdf_text observed=2026-08-05T11:44:03.360328Z digest=sha256:1e219a8b5a4af5d46614a065935444806868b64f6bbdf4ec8e5f0cce513f736a

Pith citing papers

Observation a2c03663-d087-4b78-9500-738724a1058f · inbound

Pion and Kaon PDFs from Lattice QCD via Large Momentum Effective Theory and Short-Distance Factorization cites this paper.

Pion and Kaon PDFs from Lattice QCD via Large Momentum Effective Theory and Short-Distance Factorization Gradient flow for parton distribution functions: first application to the pion

Reference 35

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arxiv_id, observed 2026-05-21T17:34:17.052550Z

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Observation 57678d2a-b962-404c-a763-ed57a7af1edf · inbound

Hadron Structure from lattice QCD in the context of the Electron-Ion Collider cites this paper.

Hadron Structure from lattice QCD in the context of the Electron-Ion Collider Gradient flow for parton distribution functions: first application to the pion

Reference 30

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arxiv_id, observed 2026-05-14T00:38:31.408790Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-14T00:37:57.045625Z digest=sha256:f7442b7d1e9fe3b72ed23d18ccbdd26bae24eea174785400bdc2aa51a7b056e3

Observation bff20dba-51cc-4c75-b428-36fe46b99403 · inbound

Precision QCD with the Electron-Ion Collider cites this paper.

Precision QCD with the Electron-Ion Collider Gradient flow for parton distribution functions: first application to the pion

Reference 205

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arxiv_id, observed 2026-05-10T23:40:54.571666Z

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source=pdf_text observed=2026-05-10T18:55:18.955553Z digest=sha256:994d2477f6e6662b07291e0985f186fef70f2b9e42a9b6940712a95c3c07db2e

Observation 60639c7e-5f69-4393-afcc-b68cef88f588 · inbound

Pion Parton Distribution Functions in the Light-Cone Quark Model and Experimental Constraints cites this paper.

Pion Parton Distribution Functions in the Light-Cone Quark Model and Experimental Constraints Gradient flow for parton distribution functions: first application to the pion

Reference 89

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arxiv_id, observed 2026-05-10T22:20:48.009720Z

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source=pdf_text observed=2026-05-10T19:59:11.219647Z digest=sha256:755cc3389547b40c9f0d40fa58f01d42cb9f5599208ac5362f02ec28f0e75f59

Observation ea94cf57-deca-4614-bdff-28767960c517 · inbound

The perturbative Ricci flow in gravity cites this paper.

The perturbative Ricci flow in gravity Gradient flow for parton distribution functions: first application to the pion

Reference 41

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arxiv_id, observed 2026-05-11T12:06:02.571082Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T04:12:19.082263Z digest=sha256:cf6eb5179997d2957b218fc755ddd047411da18089bcb611522fd744625eb860

Observation a6724186-01ba-4033-aff8-d317ce3dcf13 · inbound

Constraining DVCS Compton Form Factors Using Lattice QCD informed Neural Network cites this paper.

Constraining DVCS Compton Form Factors Using Lattice QCD informed Neural Network Gradient flow for parton distribution functions: first application to the pion

Reference 77

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arxiv_id, observed 2026-07-03T01:27:31.406000Z

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source=pdf_text observed=2026-06-27T16:29:49.703045Z digest=sha256:776f153975e53ef8f87a47b47aeb483972a9ae17d02448ace901b7bcfafb9586

Observation 034dc2c8-7850-4320-8a24-6f67014dfeb4 · inbound

Mellin Moments of Pion and Kaon Unpolarized PDFs from Nonlocal Operators in Lattice QCD cites this paper.

Mellin Moments of Pion and Kaon Unpolarized PDFs from Nonlocal Operators in Lattice QCD Gradient flow for parton distribution functions: first application to the pion

Reference 42

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arxiv_id, observed 2026-07-01T18:35:59.308012Z

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source=pdf_text observed=2026-06-29T01:49:35.150970Z digest=sha256:e8200523ed870831f3579226bf7e46d6e9834565818e60618afe6b5a6a3ea42d

Observation 7d4c8db2-f009-4e45-9478-e91c8e551fe3 · inbound

Gradient Flow Renormalization Schemes for Composite Fermion Operators cites this paper.

Gradient Flow Renormalization Schemes for Composite Fermion Operators Gradient flow for parton distribution functions: first application to the pion

Reference 23

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arxiv_id, observed 2026-07-02T02:26:26.029945Z

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source=pdf_text observed=2026-07-02T02:18:08.519672Z digest=sha256:e9103a8da95a70254ea67a575e2b5d6c7c7fef5bfae1435d851db36a35e2f749

Observation 092359bd-2dfa-47f4-89a4-e7c7e49f757a · inbound

The nucleon unpolarized generalized form factors and Mellin moments up to fourth order cites this paper.

The nucleon unpolarized generalized form factors and Mellin moments up to fourth order Gradient flow for parton distribution functions: first application to the pion

Reference 9

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source=pdf_text observed=2026-07-12T02:20:49.430616Z digest=sha256:fcdb2e30683cd91f715fcfb8180b7712d21b03fd2e6143fc0b296d41ad80aa04