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Paper Citation Record · LEDGER

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$

As of 21 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2608.05998.

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

pith.paper-citation-record.v1
2608.05998 v2

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:24:38.552204Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

11 of 11 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5240c180-448c-4c34-814d-5a19c6ee124e · outbound

This paper cites an unresolved cited work.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-11T04:24:38.505035Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T04:24:38.505035Z digest=sha256:f642320ec37075a5396388517baac9f340050d5b2c5778c5e63174b5c498a724

Observation da35534d-e1f7-4e45-adf1-abb45a10b8e0 · outbound

This paper cites and Kogut, John , title =.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ and Kogut, John , title =

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-11T04:24:38.510198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T04:24:38.510198Z digest=sha256:60fe832e9870af80df3f404ad9a55e1430b124f1e0712a4a3cf7c24aab254ec9

Observation 2b7c3af5-7615-432e-8b71-900799134125 · outbound

This paper cites Physical Review Letters , volume =.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ Physical Review Letters , volume =

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T04:24:38.516247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T04:24:38.516247Z digest=sha256:9bdaeab6b84d27f8bbf110de80aed8a441693788a664f41dd1e2b1d548cc8962

Observation 5cb144ed-e016-4141-9f6e-78cc1e45b77f · outbound

This paper cites On the Triviality of _d^4 Theories and the Approach to the Critical Point in d 4 Dimensions , journal =.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ On the Triviality of _d^4 Theories and the Approach to the Critical Point in d 4 Dimensions , journal =

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T04:24:38.520745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T04:24:38.520745Z digest=sha256:95dd1cfbf822fbef45b45aa1c28886369575b30e10b375bd235bae9db978f8e0

Observation ad7f2f7b-aa5f-4655-b76e-0dbfca336feb · outbound

This paper cites Nuclear Physics B , volume =.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ Nuclear Physics B , volume =

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T04:24:38.525113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T04:24:38.525113Z digest=sha256:30add4d8f9e78dd59c00f877fb3a982cd07d5c19c4e093f1894e701cb8a4bcc9

Observation c9ed60c5-8bcd-4270-80ed-c73c0f3149b8 · outbound

This paper cites Reviews of Modern Physics , volume =.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ Reviews of Modern Physics , volume =

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-11T04:24:38.529886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T04:24:38.529886Z digest=sha256:9227ea1ecdf2ed2f34c51ff2da8a9aa5887fdbf0275554252ee10c157f68cdbe

Observation 011167bc-50e7-4add-bc45-da77ff0b5e7d · outbound

This paper cites Annals of Mathematics , volume =.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ Annals of Mathematics , volume =

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T04:24:38.534734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T04:24:38.534734Z digest=sha256:29ea2574972b99a7edd75c26b76938017092af7ec93a73ff537c637f73ad6eed

Observation 6b4de939-5fe3-4787-ab1f-4d1b8f02a4ff · outbound

This paper cites Annals of Mathematics , volume =.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ Annals of Mathematics , volume =

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T04:24:38.539144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T04:24:38.539144Z digest=sha256:c06a727dc9ff1368b95a846e468c57b770ecf157cc871843d3a4ef53783198f7

Observation 58e28ede-5f83-41c6-b63d-70c3c6551f11 · outbound

This paper cites Mean field flow equations and asymptotically free scalar fields.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ Mean field flow equations and asymptotically free scalar fields

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T04:24:38.543191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T04:24:38.543191Z digest=sha256:d0d4b182ba97fc7c1ff8280879a5439c0f4ecf4d43090db5fea0cfac584a5b66

Observation ebaa066a-622a-4e00-a334-2f389365fc34 · outbound

This paper cites Triviality proof for mean-field $\varphi_4^4$-theories.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ Triviality proof for mean-field $\varphi_4^4$-theories

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-11T04:24:38.547616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T04:24:38.547616Z digest=sha256:4e6a21afc80380711e4f916a29c8432ca5ee236212ec6e9cc7b8294fca63d798

Observation 6f09bae3-facc-433e-9c3c-029e16e88c97 · outbound

This paper cites 2025 , eprint =.

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$ 2025 , eprint =

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T04:24:38.552204Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T04:24:38.552204Z digest=sha256:46c02202f1c8bd4fe55957e8f1e7416e78f21be0897a42865cb77c6598e81389

Pith citing papers

No inbound Pith citation observations are available.