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Paper Citation Record · LEDGER

The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2111.12401.

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

pith.paper-citation-record.v1
2111.12401 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:26:39.335008Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T22:54:24.972717Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation dd7e532c-6db2-4b83-a44e-9eab04a8830b · inbound

Weizs\"acker-Williams Gluon Helicity Distribution and Inclusive Dijet Production in Longitudinally Polarized Electron-Proton Collisions cites this paper.

Weizs\"acker-Williams Gluon Helicity Distribution and Inclusive Dijet Production in Longitudinally Polarized Electron-Proton Collisions The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

Reference 99

Resolution
unresolved
no resolver link, observed 2026-08-16T12:26:39.335008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:26:39.335008Z digest=sha256:f2d2297e4b40ad059cbf86bc362eae28eb09f0752a43a0c9423f4dd8d179a80c

Observation 25fc4215-a6da-4155-a47d-108b799bbdaf · inbound

Telescoping Algorithms for $\Sigma^*$-Extensions via Complete Reductions cites this paper.

Telescoping Algorithms for $\Sigma^*$-Extensions via Complete Reductions The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T05:13:20.639040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:13:20.639040Z digest=sha256:dd0651d552b5a686cb6f0394a7b050ba18e626f97118c23b5478aaadb2ed58df

Observation a50228cb-3383-4602-9c9b-c596b95573fb · inbound

Polarized Deep Inelastic Scattering as $x \to 1$ using Soft Collinear Effective Theory cites this paper.

Polarized Deep Inelastic Scattering as $x \to 1$ using Soft Collinear Effective Theory The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

Reference 51

Resolution
verified exact
arxiv_id, observed 2026-05-19T05:37:05.718820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-19T05:33:43.406686Z digest=sha256:5a1c652f07f9069f5c680fb9d40c21c8af3abc5195ddc71d3cd5b0f11dbe49eb

Observation 7dad1f6e-e6e7-45b6-9750-05be3da039c8 · inbound

Analytic Solution for the Helicity Evolution Equations at Small $x$ and Large $N_c\&N_f$ cites this paper.

Analytic Solution for the Helicity Evolution Equations at Small $x$ and Large $N_c\&N_f$ The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

Reference 96

Resolution
unresolved
no resolver link, observed 2026-08-06T10:24:37.767162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:24:37.767162Z digest=sha256:aa4cf439c1069feb30047b5b850ebf6845dbebaa81fad49696c2791c974e6c84

Observation f4a00f4f-6a72-4376-85a7-6f2f6001c1bd · inbound

Entanglement entropy, Monte Carlo event generators, and soft gluons DIScovery cites this paper.

Entanglement entropy, Monte Carlo event generators, and soft gluons DIScovery The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

Reference 50

Resolution
metadata mismatch
arxiv_id, observed 2026-05-18T19:21:49.109561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-18T19:18:05.909669Z digest=sha256:e163e5a1f022c5c66ed5c60a1d3b5a0c5978b3536b18ae7fb0211a2134a81d74

Observation d9e34fc7-f85f-413d-a474-9afd9978821b · inbound

Energy Correlators Resolving Proton Spin cites this paper.

Energy Correlators Resolving Proton Spin The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-05-21T22:54:24.974746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T22:52:40.921579Z digest=sha256:573a1268901a047aaa28761c373447e2aa21e32acaba3102dde4f2439e7b462c

Observation 8e4389e3-e3b7-4406-a0c0-08991e0645fa · inbound

Energy Correlators Resolving Proton Spin cites this paper.

Energy Correlators Resolving Proton Spin The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-15T15:50:08.770680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:50:08.770680Z digest=sha256:b9515fef7931eb781f1fce3edfb96a09ef5db15d8d1e717d8a19f8cd5830132b

Observation 580854f5-26d6-423e-808d-ad454cb50f0f · inbound

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

The four-loop non-singlet splitting functions in QCD The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:16:02.360863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-10T16:44:13.520224Z digest=sha256:685e0274ac3cac4e3dcdb6f5e86426d072aede93498ce56e56e9a10475086834

Observation 03cf7a42-6844-4e78-bbce-3fa3fd7c2f78 · inbound

Global analyses of helicity-dependent parton distribution functions cites this paper.

Global analyses of helicity-dependent parton distribution functions The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

Reference 88

Resolution
unresolved
no resolver link, observed 2026-07-31T10:42:20.367503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-31T10:42:20.367503Z digest=sha256:11f4611163ae936ff02676ea5762b134dd7b12af09d79b32066648c27a2ca282