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Paper Citation Record · LEDGER

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

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2307.04158.

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

pith.paper-citation-record.v1
2307.04158 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:18:39.353922Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T00:16:25.140997Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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  • malformed identifier0
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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 e7a23057-f5c8-42a6-919f-1463f0806efc · inbound

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions cites this paper.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions Four-loop splitting functions in QCD -- The gluon-to-quark case

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T21:40:21.699517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:40:21.699517Z digest=sha256:5c202a4aea375f9acdad6821511c629870b0a4897499e62762213c8067d4c350

Observation 3619fb56-34e5-474a-90f2-691728160dd9 · inbound

Alien operators for PDF evolution cites this paper.

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

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-05T12:05:09.100654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:05:09.100654Z digest=sha256:a7f9d2df8acbf9cafeb0fb42fe56dd6b049ac1c8b0c468a56945f11892dc1f94

Observation 9cab3a48-31bb-4e26-a9be-d60f5a11cf02 · 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 gluon-to-quark case

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T19:29:19.303080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:29:19.303080Z digest=sha256:ede14709462b8707caecea16a54c7652830755e195feb571450638248fb4efde

Observation 1c44badc-f22d-405f-9d70-db908674969c · 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 gluon-to-quark case

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:16:02.351175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-10T16:44:13.520224Z digest=sha256:d613f89000c1d612ae11d5d20abefe397eeaf1f203e48f786e3c455fa60415bd

Observation 75a877d7-0a88-4d60-8187-1dc654a149fd · 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 gluon-to-quark case

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-12T10:41:30.093646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-07T04:15:59.634181Z digest=sha256:cc58e23d75bcdb184b67bef5241fd93efa3e6334eead0f808827d74f1f54ac2f

Observation 2a1d3f0d-9332-434d-9c63-4270374f93e8 · 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 gluon-to-quark case

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-05-12T05:26:24.460838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-12T05:24:57.121356Z digest=sha256:2d3f07d6f2a026b2f3de32a8211927df8f124be991784a5c3d602a6c46a647d0

Observation defc8138-f84a-4a7f-bf79-50297e246ef2 · 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 gluon-to-quark case

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-06-30T22:45:07.561171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T22:42:06.439017Z digest=sha256:b107e6e6a8344b7bc80bf2304883db8047e16d3446b10dda58c0c0882ac72e16

Observation 600e7f59-5a95-4630-86ef-f20927e5280b · 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 gluon-to-quark case

Reference 65

Resolution
verified exact
arxiv_id, observed 2026-07-02T00:16:25.143755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-28T13:27:44.464143Z digest=sha256:4ea8fc90351b771711db55fe321d7e3d83644ab3ab8275482089156d5ad51e4b

Observation c2283086-7dbf-40ee-ad8d-9d65dc239e72 · 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 gluon-to-quark case

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-02T06:20:22.499403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T06:20:22.499403Z digest=sha256:30fd0763c1cbf4de604c54be30a1fe00a5fc682228d31ee858ad6083ae5e59e4

Observation 885568b4-cf62-4787-8bda-e1812fc3db14 · inbound

On divergences in a four-derivative scalar field theory cites this paper.

On divergences in a four-derivative scalar field theory Four-loop splitting functions in QCD -- The gluon-to-quark case

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-16T00:18:39.353922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:18:39.353922Z digest=sha256:ba00cc7436df287cce781101e714e736138ce22633df453b7288a80d5893df8f