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Paper Citation Record · LEDGER

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

As of 9 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 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T19:46:23.747674Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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 fuzzy8
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5dc31c1d-d9ea-4035-bdbc-51d4cbc70d88 · 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
raw_fallback, observed 2026-08-07T19:46:23.890545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T19:46:23.702681Z digest=sha256:d7eab029651bc1ee28942c837a4bc31765d553e67cc141a24dbbf26a7f2c96ea

Observation f9523a67-81de-460a-b315-5b29d5f96fb0 · 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
verified fuzzy
raw_fallback, observed 2026-08-07T19:46:23.880027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T19:46:23.707230Z digest=sha256:67d09b50d35c763d0b1df0a3e1719ee890601434411c7e6af934414b4be7b1c6

Observation 6a65b791-28d6-4da3-a56f-b6f7f68b07af · 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
verified fuzzy
raw_fallback, observed 2026-08-07T19:46:23.869357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T19:46:23.713189Z digest=sha256:9333c17f8a5e268a916cabdabbbe0f9182be524b5e9bcb6fea28613091f8eb76

Observation 740319c9-20a1-423e-b697-a54a4a60bbb7 · 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
verified fuzzy
raw_fallback, observed 2026-08-07T19:46:23.859098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T19:46:23.717383Z digest=sha256:e293df9e2b6f24911b4f2ecb3eef79e67f36229cacfc277f8c4cb49f611136a1

Observation e252406c-f22f-4ed4-b323-7b7378688a04 · 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
verified fuzzy
raw_fallback, observed 2026-08-07T19:46:23.848315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T19:46:23.721378Z digest=sha256:58d0e1d1b1e7cc9c31c68c0994c83e864cd3f809c750054c7b374b41b283f1d9

Observation 382729f1-7a24-4cb7-9203-06c7e71cef4e · 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
verified fuzzy
raw_fallback, observed 2026-08-07T19:46:23.838976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T19:46:23.725633Z digest=sha256:476e29e38b5b3cbee767af7613501ac10380b83250f5a3076fc4485bf96b71cf

Observation 22d9a9bf-5535-4966-9470-6250c502b8d3 · 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
verified fuzzy
raw_fallback, observed 2026-08-07T19:46:23.829122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T19:46:23.729907Z digest=sha256:4f4db25a36960d91976c6a6a9e89ee7961ed3b927493b2f7cffc37c65ff4c052

Observation 3f0adb14-00a0-49da-a1e7-41cffd733e2f · 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
verified fuzzy
raw_fallback, observed 2026-08-07T19:46:23.818973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T19:46:23.734195Z digest=sha256:cdccc29b4293fe2cc625b92d44911c666ca6b36978b7f58e630136164e78baaf

Observation a9846472-e8ac-4691-821e-bd5c467817c1 · 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
metadata mismatch
local_arxiv, observed 2026-08-07T19:46:23.798170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T19:46:23.738105Z digest=sha256:9f40228a5b5bf4dbb4d9c6f02ee8ef505db7a0a7966ea896c1da8a2b12683f7c

Observation 3a76f79e-2f0a-4653-94f2-b8b1ed3c507e · 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
metadata mismatch
local_arxiv, observed 2026-08-07T19:46:23.782745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T19:46:23.742327Z digest=sha256:c2b9e1fed59794be5ef70d6e615a0d62dd762486029a8232f120141d100bac05

Observation f3663b72-2d86-4b7e-98b1-be2e70253b1e · 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
verified fuzzy
raw_fallback, observed 2026-08-07T19:46:23.808985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-07T19:46:23.747674Z digest=sha256:6891cd893c0dee4c48f7d3e6404e2e4b67893dbeb8f0bf153d131220aae90c8e

Pith citing papers

No inbound Pith citation observations are available.