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Paper Citation Record · LEDGER

Four-loop splitting functions in QCD -- The quark-to-gluon case

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2404.09701.

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

pith.paper-citation-record.v1
2404.09701 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:05:08.981969Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T00:16:25.290397Z

Reference resolution

0 of 0 outbound references displayed

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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 dd73d507-8209-4b90-a3c3-165e94392c6c · inbound

Alien operators for PDF evolution cites this paper.

Alien operators for PDF evolution Four-loop splitting functions in QCD -- The quark-to-gluon case

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-05T12:05:08.981969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:05:08.981969Z digest=sha256:d30d836d1cccde0db1403d74fd5406b5294311968b494492a2b359553a90ae3d

Observation 577b4568-c94e-496c-b62c-54334b3ffa3b · inbound

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

New results on small-x resummation for splitting functions Four-loop splitting functions in QCD -- The quark-to-gluon case

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-02T19:29:19.668681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:29:19.668681Z digest=sha256:9bb0b744da928cd5feaade6a01f1256a4277350a9fb9ab547852b6532faca7a0

Observation fccb4193-e5b5-453b-8334-5cf04322e58a · inbound

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

The four-loop non-singlet splitting functions in QCD Four-loop splitting functions in QCD -- The quark-to-gluon case

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:16:02.156102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-10T16:44:13.520224Z digest=sha256:5739832522b6b55a4e294df12c9afd4c7fcd937ad8f09fb39a82f06aaecd2109

Observation 56bc5d79-541b-4558-93ce-3a1619d86e36 · 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 Four-loop splitting functions in QCD -- The quark-to-gluon case

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-12T10:41:29.865890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-07T04:15:59.634181Z digest=sha256:d7bc2ca0b6528ae56f5d12b5419e988eec506471bbf9adf78a155fe174ec68c4

Observation ffce26fe-83c3-4b87-be23-3b359df63a90 · 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 Four-loop splitting functions in QCD -- The quark-to-gluon case

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-05-12T05:26:24.223618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-12T05:24:57.121356Z digest=sha256:3c96ffe1af7f9164b36b5a575e744d4df601e1ec5f8e66cf6295c796221f3cac

Observation c20b921b-3961-4870-a5f1-abb73188d102 · 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 Four-loop splitting functions in QCD -- The quark-to-gluon case

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-06-30T22:45:07.567479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T22:42:06.439017Z digest=sha256:20f0bbbf890bd2f9aa713b0a28f6be957835410e7c82a7e0e2395e566fa42f97

Observation d8885adc-b5a4-4e74-962f-93fdcae52fc7 · inbound

Projected Energy Correlators: Two-Loop Jet Functions and NNLL Resummation cites this paper.

Projected Energy Correlators: Two-Loop Jet Functions and NNLL Resummation Four-loop splitting functions in QCD -- The quark-to-gluon case

Reference 66

Resolution
verified exact
arxiv_id, observed 2026-07-02T00:16:25.292190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-28T13:27:44.464143Z digest=sha256:30cd4118158f0b063c8b4e72397fd0d9a56c7cecbe6ca863672178d93efe72c7

Observation d9795b88-cce5-41ca-a709-f612f240af7d · inbound

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

Candia-v2: Logarithmic expansions for DGLAP evolution in $x$-space Four-loop splitting functions in QCD -- The quark-to-gluon case

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-02T06:20:22.792546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T06:20:22.792546Z digest=sha256:edcbb1609df852d3b872c417096dd9151bbef7be5d2e15767af3f0d6e6ac027f