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Paper Citation Record · LEDGER

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

As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 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 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T10:24:37.767162Z

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 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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-19T05:33:43.406686Z digest=sha256:0622cfad9af0e668b1562cd74850bee8e23846b612f7cfda94417d29b2c706ba

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:ae714a30f06a2ddcc3495f1cbe7e49b199b89f264c9a01ab3e0a33f9a777ae1a

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-18T19:18:05.909669Z digest=sha256:eb9bc65dc29e42134d39be23a3a6264a90ed81dc81370cffaf98f3515c50f185

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-21T22:52:40.921579Z digest=sha256:1f69a90e9f9ee41ea53fd4f7b8a3d1056a9369b0c33d2042c869ec3b7432b9c3

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T16:44:13.520224Z digest=sha256:6ed8812ddf121d4a29a3ead24f8f66aa4e3c5bb0a3f63620763636249895aa5a

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:b9ebf352ab7d5ec6dc85268a84e62c3ee6dd5432ec40ead8a61c1189f5c0f310