Paper Citation Record · LEDGER

Transcendental structure of multiloop massless correlators and anomalous dimensions

As of 15 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:1908.03012.

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

pith.paper-citation-record.v1
1908.03012 v2

Coverage vector

measured 37 of 37 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T14:36:02.116442Z

measured 37 of 37 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

37 of 37 outbound references displayed

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External citation measurements

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Outbound references

Observation 20e2f570-23d1-4531-a82a-27780abeb27c · outbound

This paper cites The structure of generic anomalous dimensions and no-$\pi$ theorem for massless propagators.

Transcendental structure of multiloop massless correlators and anomalous dimensions The structure of generic anomalous dimensions and no-$\pi$ theorem for massless propagators

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:01.920980Z

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Unavailable: canonical work link unavailable.

Observation 296f72d8-a3d0-4981-877b-bb95b9c17f1e · outbound

This paper cites Numbers and Functions in Quantum Field Theory.

Transcendental structure of multiloop massless correlators and anomalous dimensions Numbers and Functions in Quantum Field Theory

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:01.927452Z

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Observation 70011690-bd19-4dbe-9cd5-3aee9221a52d · outbound

This paper cites Large $N_f$ quantum field theory.

Transcendental structure of multiloop massless correlators and anomalous dimensions Large $N_f$ quantum field theory

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:01.933134Z

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Observation d932bb3e-0571-45ef-98cf-4aa0713b7450 · outbound

This paper cites an unresolved cited work.

Transcendental structure of multiloop massless correlators and anomalous dimensions Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:36:02.774383Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 537fbaaa-920e-4b8c-8941-a9c4753d3cb1 · outbound

This paper cites Ayoub, Euler and the zeta function , Amer.

Transcendental structure of multiloop massless correlators and anomalous dimensions Ayoub, Euler and the zeta function , Amer

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:36:02.758542Z

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Observation 88ccce8f-753d-4d59-85a4-c5b718b659f3 · outbound

This paper cites Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory.

Transcendental structure of multiloop massless correlators and anomalous dimensions Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:01.950849Z

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Observation 047817e8-2ae0-4daf-a94f-cac69a34cbf7 · outbound

This paper cites Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators.

Transcendental structure of multiloop massless correlators and anomalous dimensions Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:01.957201Z

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Observation 4b1fade8-5c5e-4c90-ba45-0bcfdca4d2ab · outbound

This paper cites an unresolved cited work.

Transcendental structure of multiloop massless correlators and anomalous dimensions Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:36:02.741148Z

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Observation 63dc8b7a-58c0-4611-9350-8ca0d474d687 · outbound

This paper cites Absence of even-integer $\zeta$-function values in Euclidean physical quantities in QCD.

Transcendental structure of multiloop massless correlators and anomalous dimensions Absence of even-integer $\zeta$-function values in Euclidean physical quantities in QCD

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:01.967713Z

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Observation 4adca8d5-9e5f-4e59-a235-ff4f400191a7 · outbound

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

Transcendental structure of multiloop massless correlators and anomalous dimensions Absence of pi^2 terms in physical anomalous dimensions in DIS: verification and resulting predictions

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:01.973032Z

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Observation 801fd21f-421a-4ebf-9a5e-e5f684dc8175 · outbound

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

Transcendental structure of multiloop massless correlators and anomalous dimensions Five-loop renormalisation of QCD in covariant gauges

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:01.978344Z

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Observation 77083b36-292d-4e80-b287-fd69efb68591 · outbound

This paper cites R*-operation and five-loop calculations.

Transcendental structure of multiloop massless correlators and anomalous dimensions R*-operation and five-loop calculations

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:01.983453Z

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Observation 0cabfb83-e955-4186-909b-ffd9be379449 · outbound

This paper cites Five-loop contributions to low-N non-singlet anomalous dimensions in QCD.

Transcendental structure of multiloop massless correlators and anomalous dimensions Five-loop contributions to low-N non-singlet anomalous dimensions in QCD

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:01.988560Z

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Observation 4c9cdcba-5dcb-4aca-bd1e-45682bceaf12 · outbound

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

Transcendental structure of multiloop massless correlators and anomalous dimensions Five-Loop Running of the QCD coupling constant

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:01.993752Z

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Observation d66a41dc-3249-492d-b1bf-7ea7948c33a6 · outbound

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

Transcendental structure of multiloop massless correlators and anomalous dimensions The five-loop beta function of Yang-Mills theory with fermions

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:01.999337Z

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Observation 75665499-973c-4891-8f2f-0c354e6213dc · outbound

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

Transcendental structure of multiloop massless correlators and anomalous dimensions The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:02.004431Z

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Observation a6452b37-a4d3-42e7-8720-1007fe0a6ab9 · outbound

This paper cites Four Loop Massless Propagators: an Algebraic Evaluation of All Master Integrals.

Transcendental structure of multiloop massless correlators and anomalous dimensions Four Loop Massless Propagators: an Algebraic Evaluation of All Master Integrals

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:02.009697Z

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Observation 4694cc26-402f-472e-ac72-5baa567ae6b7 · outbound

This paper cites Master Integrals for Four-Loop Massless Propagators up to Transcendentality Weight Twelve.

Transcendental structure of multiloop massless correlators and anomalous dimensions Master Integrals for Four-Loop Massless Propagators up to Transcendentality Weight Twelve

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:02.014999Z

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Observation 1584e8a6-abb1-444d-a415-b67eafc5d482 · outbound

This paper cites On the analytic computation of massless propagators in dimensional regularization.

Transcendental structure of multiloop massless correlators and anomalous dimensions On the analytic computation of massless propagators in dimensional regularization

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:36:02.417793Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8babf432-e62d-467b-ab84-9e345edad60e · outbound

This paper cites Five-loop massless propagator integrals.

Transcendental structure of multiloop massless correlators and anomalous dimensions Five-loop massless propagator integrals

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:02.025415Z

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Observation 8b1b173b-f76f-4057-a344-dfe45a0d6560 · outbound

This paper cites Feynman Amplitudes and Cosmic Galois group.

Transcendental structure of multiloop massless correlators and anomalous dimensions Feynman Amplitudes and Cosmic Galois group

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:02.030622Z

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Observation da24d396-32c1-4681-9278-b3650a8b411c · outbound

This paper cites The Galois coaction on $\phi^4$ periods.

Transcendental structure of multiloop massless correlators and anomalous dimensions The Galois coaction on $\phi^4$ periods

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:02.036026Z

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Observation 5e557bb5-0704-47a1-bbc9-aaa5ebd13395 · outbound

This paper cites Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops.

Transcendental structure of multiloop massless correlators and anomalous dimensions Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:02.041650Z

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Observation c3fcc71b-2073-49b2-985e-c0618bcc7f63 · outbound

This paper cites Broadhurst, Multiple Zeta Values and Modular Forms in Quantum Field Theo ry, pp.

Transcendental structure of multiloop massless correlators and anomalous dimensions Broadhurst, Multiple Zeta Values and Modular Forms in Quantum Field Theo ry, pp

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:36:02.725069Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 971b0338-7fe9-41e2-86d3-8265ee3222f1 · outbound

This paper cites No-$\pi$ Theorem for Euclidean Massless Correlators.

Transcendental structure of multiloop massless correlators and anomalous dimensions No-$\pi$ Theorem for Euclidean Massless Correlators

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:36:02.329660Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a33dc675-d014-48ee-a5ce-82a456867b53 · outbound

This paper cites Dimensionally continued multi-loop gauge theory.

Transcendental structure of multiloop massless correlators and anomalous dimensions Dimensionally continued multi-loop gauge theory

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:36:02.305873Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d61402f9-e11e-49e4-8ff9-48aab5e2d3fb · outbound

This paper cites The Multiple Zeta Value Data Mine.

Transcendental structure of multiloop massless correlators and anomalous dimensions The Multiple Zeta Value Data Mine

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:02.064837Z

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Observation 5552f2e5-d585-4a9c-865f-b525f16f37f4 · outbound

This paper cites Knots and Numbers in $\phi^4$ Theory to 7 Loops and Beyond.

Transcendental structure of multiloop massless correlators and anomalous dimensions Knots and Numbers in $\phi^4$ Theory to 7 Loops and Beyond

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:02.070336Z

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Observation 5e05bc04-c801-4d28-8ce0-2e80d0c26ac3 · outbound

This paper cites Feynman integrals and hyperlogarithms.

Transcendental structure of multiloop massless correlators and anomalous dimensions Feynman integrals and hyperlogarithms

Reference 29

Resolution: malformed identifier; no resolver link, observed 2026-08-14T14:36:02.075455Z

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Observation b2fc8ab7-acdc-4b33-8f6c-3bc2d721d262 · outbound

This paper cites The QCD beta-function at O(1/N_f).

Transcendental structure of multiloop massless correlators and anomalous dimensions The QCD beta-function at O(1/N_f)

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:02.080528Z

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Observation a4e70979-ed5c-4e65-8a90-b6f7b4c3ad05 · outbound

This paper cites Quark mass anomalous dimension at O(1/N_f^2) in QCD.

Transcendental structure of multiloop massless correlators and anomalous dimensions Quark mass anomalous dimension at O(1/N_f^2) in QCD

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:36:02.215237Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6b225b7b-5902-4b04-b41a-b98428f3dc28 · outbound

This paper cites Computation of quark mass anomalous dimension at O(1/N_f^2) in quantum chromodynamics.

Transcendental structure of multiloop massless correlators and anomalous dimensions Computation of quark mass anomalous dimension at O(1/N_f^2) in quantum chromodynamics

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:02.091114Z

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Observation e5c25546-9d13-4d2a-8a8a-ea101587eb44 · outbound

This paper cites an unresolved cited work.

Transcendental structure of multiloop massless correlators and anomalous dimensions Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:36:02.708992Z

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Observation 6ed1d2fb-59c5-43cf-8213-64f143804f1d · outbound

This paper cites an unresolved cited work.

Transcendental structure of multiloop massless correlators and anomalous dimensions Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:36:02.692933Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2f5ad3cd-766c-4b8f-9bf8-35a7f6a00814 · outbound

This paper cites an unresolved cited work.

Transcendental structure of multiloop massless correlators and anomalous dimensions Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:36:02.677049Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ba98d2cb-38ba-49a7-b6ec-b91b3e5af033 · outbound

This paper cites Beyond the triangle and uniqueness relations: non-zeta counterterms at large N from positive knots.

Transcendental structure of multiloop massless correlators and anomalous dimensions Beyond the triangle and uniqueness relations: non-zeta counterterms at large N from positive knots

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:02.111030Z

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Observation ad3fd884-fd48-4d97-a06c-a6091652aece · outbound

This paper cites Landau-Khalatnikov-Fradkin transformation and the mystery of even $\zeta$-values in Euclidean massless correlators.

Transcendental structure of multiloop massless correlators and anomalous dimensions Landau-Khalatnikov-Fradkin transformation and the mystery of even $\zeta$-values in Euclidean massless correlators

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:02.116442Z

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